CORRECTOR LENS FOR THE PRIME FOCUS OF THE WHT

Size: px
Start display at page:

Download "CORRECTOR LENS FOR THE PRIME FOCUS OF THE WHT"

Transcription

1 IAC TECHNOLOGY DIVISION DM/SR-WEA/023 AD1. Procurement technical specifications for L4.doc 17 de junio de 2015 PROJECT / DESTINATION: CORRECTOR LENS FOR THE PRIME FOCUS OF THE WHT TITLE: PROCUREMENT TECHNICAL

2 Page: 2 de 13 AUTHOR LIST Name José Alonso Burgal Function Mechanical Engineer APPROVAL CONTROL Control Name Function Revised by: José Miguel Herreros Project Manager Approved by: José Alfonso López Principal Investigator Authorised by: DOCUMENT CHANGE RECORD Issue Date Change Description 1 16/06/2015 Final version

3 Page: 3 de 13 SUMMARY This document includes the product description, technical specifications and deliverables for the supply of the corrector lens L4 for the Prime Focus of the WHT.

4 Page: 4 de 13 TABLE OF CONTENTS AUTHOR LIST... 2 APPROVAL CONTROL... 2 DOCUMENT CHANGE RECORD... 2 SUMMARY LIST OF ACRONYMS AND ABBREVIATIONS INTRODUCTION AND SUMMARY APPLICABLE DOCUMENTS OPTICAL LAYOUT OF THE PRIME FOCUS CORRECTOR OPTICAL TESTING REQUIREMENTS PACKAGING, HANDLING, STORAGE AND TRANSPORTATION ACCEPTANCE DELIVERABLES... 12

5 Page: 5 de LIST OF ACRONYMS AND ABBREVIATIONS This section details the acronyms and abbreviations used in this document (sorted by alphabetic order): ADC Atmospheric Dispersion Corrector AOI Angle Of Incidence Bi Blank number, i = 1 to 6 CC Concave CGH Computer Generated Hologram CoC Centre Of Curvature CX Convex FDR Final Design Review FoV Field-of-View IAC Instituto de Astrofísica de Canarias IFU Integral Field Unit Li Lens number, i = 1 to 6 LIFU Large Integral Field Unit LOFAR Low Frequency Array M1 WHT primary mirror mifu Mini Integral Field Unit MOS Multi-Object Spectroscopy PFC Prime Focus Corrector PRI WEAVE Prime System RMS Root Mean Square RoC Radius Of Curvature RTV Room Temperature Vulcanizing WEAVE WHT Enhanced Area Velocity Explorer WFE Wave Front Error WHT William Hershel Telescope

6 Page: 6 de INTRODUCTION AND SUMMARY 2.1. A new wide-field spectroscopy facility is proposed for the prime focus of the 4.2m William Herschel Telescope (located in the Canary Islands, Spain). The facility comprises a new 2-degree field-of-view Prime Focus Corrector with a 1000-multiplex fibre positioner (MOS), a small number of individually deployable Integral Field Units (mini IFU), and a large single Integral Field Unit (large IFU). The IFU and the MOS fibres can be used to feed a dual-beam spectrograph that will provide full coverage of the majority of the visible spectrum in a single exposure at a spectral resolution of ~5000 or modest wavelength coverage in both arms at a resolution ~ The instrument is expected to be on-sky by 2017 to provide spectroscopic sampling of the fainter end of the Gaia astrometric catalogue, chemical labelling of stars to V~17, and dedicated follow up of substantial numbers of sources from the medium deep LOFAR surveys The purpose of this document is to specify one of the six lenses, lens number 4 (L4), required for the construction of the Prime Focus Corrector: 3. APPLICABLE DOCUMENTS 3.1. Manufacturing drawings: the current set of specifications is summarised in these drawings ready to manufacture the lens L4. 4. OPTICAL LAYOUT OF THE PRIME FOCUS CORRECTOR 4.1. The purpose of the Prime Focus Corrector (PFC) is to correct for the optical aberrations in a 2-degree field-of-view and to compensate for atmospheric dispersion whilst the telescope is moving in elevation. The latter correction is performed by a pair of counter-rotating air-separated doublets known as the Atmospheric Dispersion Compensator (ADC) The PFC consists of six lenses (see Figure 1) made of three different types of material (fused silica, N-BK7 and PBL1Y).

7 1100 mm PROCUREMENT TECHNICAL Page: 7 de 13 L1 (fused silica) L2 (N-BK7) L6 (fused silica) ADC 1 L3 (PBL1Y) Field plate L4 (PBL1Y) 410mm ADC 2 2 Field-of-view L5 (N-BK7) F/ mm 2326 mm Figure 1: A schematic representation showing the optical layout of the 2-degree PFC. Not to be used for manufacturing. L4 is shown in the layout The Supplier will ensure that L4 conforms to the specifications detailed in Table Specifications for lens L4 are detailed in Table 1. The superscript numbers used after each specification refer to the clauses in the text, for example superscripts *1 and *2 refer to clauses and respectively. Item Characteristics L4 1 Lens quantity *1 1 2 Shape of the lens *2 3 Radius of Curvature *3 4 Clear aperture *4 Surface 1 Surface 2 Surface 1 Surface 2 Surface 1 Surface 2 CX sphere CC sphere /- 1.7 mm /- 1.7 mm /-0 mm /-0 mm 5 Overall diameter * /-0 mm

8 Page: 8 de 13 6 Centre thickness *6 65 +/- 0.3 mm 7 Surface tilt *7 (absolute value) Surface 1 Surface degree No tilt applied Datum surface 8 Edge Thickness Difference tolerance *8 (tolerance about nominal tilt) +/- 27 µm 9 Surface form irregularity *9 (total surface form errors) Surface 1 Surface 2 80 nm RMS over 560 mm 50 nm RMS over 556 mm 10 Maximum transmitted WFE * nm RMS over 560 mm Table 1: The specifications for lens L4 are detailed Description of the superscript numbers of Table 1: Only one single blank will be delivered for polishing L4. Thus, no spare lenses have been specified The abbreviation CX stands for CONVEX whereas the abbreviation CC stands for CONCAVE Lens L4 is a classical spherical lens: their convex and concave surfaces are spherical The tolerance on the radius of curvature for L4 has been specified as a standard value: +/- 0.1 % of their nominal radius The vignetted beams were taken into account to calculate the clear aperture diameter of L4: The clear aperture diameter of L4 is centred with respect to the optical axis of the WHT primary mirror (see note in the manufacturing drawings mentioned in clause 3.1) The clear aperture radial tolerance is 1 mm The overall diameter of L4 was determined using the clear aperture of the convex surface of the lens: On top of the clear aperture diameter, a certain margin was added for handling the lenses, as specified in the manufacturing drawings mentioned in clause The overall diameter of the lens is also the same as the diameter

9 Page: 9 de 13 of the finished blank. In that case, the outer edge of each blank doesn't have to be machined. This information supersedes the one in the manufacturing drawings mentioned in clause The values of centre thickness must be updated after the melt-fit re-optimisation has been carried out The surface irregularity contains the total surface form errors that can be described with the Zernike terms equal to or higher than the focus term (which is included) The surface irregularity (surface form error) is specified in nm RMS, but upon request along with the response to this tender, this can also be specified in terms of fringes for a Newton s ring type test The surface irregularity is specified over the full clear aperture The total surface form errors (also known as the surface figure or surface accuracy) can be divided into three spatial frequency domain ranges: low-, mid- and high-ranges (Table2). Low frequencies (z4 - z11) Mid frequencies (z12 - z211) High frequencies (> z212) Clear aperture diameter L4 Surf_1 75 nm RMS 25 nm RMS 15 nm RMS 560 mm Surf_2 45 nm RMS 20 nm RMS 10 nm RMS 556 mm Table2: The total surface form errors divided into low-, mid- and high-frequency domain ranges The maximum allowed transmitted Wave Front Errors take into account: The characteristics of the blank (homogeneity, stress birefringence and striae) are specified in the drawings mentioned in clause The total surface form errors of each lens surface (quadratic sum), as mentioned in Table Furthermore, the maximum allowed transmitted Wave Front Error can be divided the into three spatial frequency domain ranges: low-, mid- and high-ranges, as mentioned in Table 3.

10 Page: 10 de 13 Low frequencies (z4 - z11) Mid frequencies (z12 - z211) High frequencies (> z212) Transmitted WFE L4 176 nm RMS 78 nm RMS 39 nm RMS 197 nm RMS Table 3: The total transmitted Wave Front Errors divided into low-, mid- and high- frequency domain ranges Lens will be manufactured with a flat on the concave surface. This provides a surface for improved handling during the polishing and testing phases. The flat is also required to allow for the assembly of each lens in their cells and subsequent alignment of all the cells in the PFC housing The flat is perpendicular to the lens edge, within a tolerance given in the manufacturing drawings mentioned in clause The radial dimensions of the flat are related to the maximum thickness of the lens and dependant on which lens surface is tilted. For each lens, the dimensions of the flat are specified in the manufacturing drawings mentioned in clause Depending on which lens surface is tilted and on how the edge of the lens has been designed for assembly, the radial length of the flat could vary, but should have a minimum radial length of at least 10mm and be located 1mm beyond the clear aperture of the lens A standard protective chamfer will be applied to all the sharp edges of each lens, in order to protect their fragile corners The manufacturing of the lenses should ensure the Prime Focus Corrector to be operable under the following environmental conditions: Temperature: from -5 C to +25 C Humidity: from 5% to 95% Telescope elevation: from zenith (0 degree) to 65 degrees Telescope altitude: 2400m above sea level. 6. OPTICAL TESTING REQUIREMENTS 6.1. The Supplier will carry out the following tests and produce test reports which

11 Page: 11 de 13 will be used by the IAC to determine whether the Goods can be accepted: Testing of the concave surfaces (spherical and aspherical surfaces) will consist of measuring the total surface form errors by a sub-aperture or full-aperture interferometry measurement in reflection on the concave surface Testing of the spherical convex surfaces (all spherical) will consist of measuring the total surface form errors and/or the maximum transmitted WFE (combined with the glass inhomogeneity) by a sub-aperture or full-aperture interferometry measurement in reflection on either the convex surface (internal double-pass) or a return spherical mirror (through-lens double-pass) In case the optical testing set-up required the use of test plates, the Supplier will provide the IAC with the optical characteristics (e.g. interferometric measurements) of all the individual test plates The total surface form errors and maximum transmitted Wave Front Error have been divided into three spatial frequency domain ranges (low, mid and high, as mentioned in Table2 and Table 3) The total surface form errors and the maximum transmitted Wave Front Error are specified over the full clear aperture of the surface considered. In case of sub-aperture interferometric measurements, the total surface form errors and the maximum transmitted Wave Front Error can easily be calculated from the main specifications using a simple proportional law All measurements will be carried out under an environment where temperature, humidity and dust level are controlled. These values will be recorded for each measurement and provided to the IAC along with the report of compliance of each lens. 7. PACKAGING, HANDLING, STORAGE AND TRANSPORTATION 7.1. The packaging and packing material will be procured by the Supplier The Supplier will ensure that L4 is appropriately packaged to protect it from exposure to dust and moisture. Furthermore, L4 will be appropriately wrapped to protect them from scratches The Supplier will ensure that each crate will be equipped with a desiccant bag to prevent from dew The Supplier will ensure that L4 is appropriately secured in the crate so that: Unintended movement of the lens is minimised The packing material offers some protection to L4 in the event that the

12 Page: 12 de 13 crate is mechanically shocked The Supplier will provide the shipping crate which will be used to package the finished lens for secure delivery to the site of integration Handling of the crates will be performed with a forklift from the underside of the crate or through the use of safety lifting strops which will be secured under the crate. The underside of the crate will incorporate fixed spreader beams to separate the box from the ground and to allow for mechanical handling equipment and lifting strops to be deployed beneath the crate. The crate shall have guides to correctly locate and fix the lifting strops. The guides may be created from another set of fixed spreader beams which create a channel. These will be correctly spaced to allow forks from mechanical handing equipment to be deployed Once L4 is polished, the Supplier will take care to store it in an environment that is conducive to maintaining the integrity of the lens. 8. ACCEPTANCE 8.1. IAC shall visit the Supplier, in order to carry out an acceptance test, as well as to inspect the lenses before L4 is packaged, packed and shipped If for any reasons clause 8.1 could not be met, then the Supplier shall deliver to IAC before shipping the acceptance test results with photographs and record notes taken during the final visual inspection of L4, as well as during the packaging and packing of L4 in its crate. A live video link may be required (e.g. Skype) during these steps. 9. DELIVERABLES The following deliverables will be provided by the Supplier: 9.1. Lens L4, clean and identified The shipping crate, clearly and permanently identified Report of compliance for the specifications detailed in section 5, consisting of the measurement data that correspond to the specified parameters Additional deliverables: Information about weight and location of the centre of mass Information about weight of the crate Recommended handling procedure Recommended cleaning procedure.

13 Page: 13 de Optical characteristics of the individual test plates, if required. END OF THE DOCUMENT

Section 5 ISO Drawings ISO 10110

Section 5 ISO Drawings ISO 10110 Section 5 ISO 10110 Drawings Optical Drawings provide a precise Definition of your optic for fabrication. Standards allow for a common language to be used between you and the optician so there is no confusion

More information

Computer Generated Holograms for Optical Testing

Computer Generated Holograms for Optical Testing Computer Generated Holograms for Optical Testing Dr. Jim Burge Associate Professor Optical Sciences and Astronomy University of Arizona jburge@optics.arizona.edu 520-621-8182 Computer Generated Holograms

More information

Potential benefits of freeform optics for the ELT instruments. J. Kosmalski

Potential benefits of freeform optics for the ELT instruments. J. Kosmalski Potential benefits of freeform optics for the ELT instruments J. Kosmalski Freeform Days, 12-13 th October 2017 Summary Introduction to E-ELT intruments Freeform design for MAORY LGS Free form design for

More information

Difrotec Product & Services. Ultra high accuracy interferometry & custom optical solutions

Difrotec Product & Services. Ultra high accuracy interferometry & custom optical solutions Difrotec Product & Services Ultra high accuracy interferometry & custom optical solutions Content 1. Overview 2. Interferometer D7 3. Benefits 4. Measurements 5. Specifications 6. Applications 7. Cases

More information

COS NCM2 Mirror Substrate Specification

COS NCM2 Mirror Substrate Specification Date: Document Number: Revision: Contract No.: NAS5-98043 CDRL No.: N/A Prepared By: E. Wilkinson 2-18-99 E. Wilkinson, COS Instrument Scientist, CU/CASA Date Reviewed By: R. Cahill 2-18-99 R. Cahill,

More information

Understanding Optical Specifications

Understanding Optical Specifications Understanding Optical Specifications Optics can be found virtually everywhere, from fiber optic couplings to machine vision imaging devices to cutting-edge biometric iris identification systems. Despite

More information

Design and Manufacture of 8.4 m Primary Mirror Segments and Supports for the GMT

Design and Manufacture of 8.4 m Primary Mirror Segments and Supports for the GMT Design and Manufacture of 8.4 m Primary Mirror Segments and Supports for the GMT Introduction The primary mirror for the Giant Magellan telescope is made up an 8.4 meter symmetric central segment surrounded

More information

Spectrograph Lens Fabrication RFQ 22 Jan, 2003

Spectrograph Lens Fabrication RFQ 22 Jan, 2003 Spectrograph Lens Fabrication RFQ 22 Jan, 2003 1 Scope of Project This document describes the specifications for the fabrication of 18 optical elements to be used in the Prime Focus Imaging Spectrograph

More information

Optical Design of the SuMIRe PFS Spectrograph

Optical Design of the SuMIRe PFS Spectrograph Optical Design of the SuMIRe PFS Spectrograph Sandrine Pascal* a, Sébastien Vives a, Robert H. Barkhouser b, James E. Gunn c a Aix Marseille Université - CNRS, LAM (Laboratoire d'astrophysique de Marseille),

More information

Fabrication of 6.5 m f/1.25 Mirrors for the MMT and Magellan Telescopes

Fabrication of 6.5 m f/1.25 Mirrors for the MMT and Magellan Telescopes Fabrication of 6.5 m f/1.25 Mirrors for the MMT and Magellan Telescopes H. M. Martin, R. G. Allen, J. H. Burge, L. R. Dettmann, D. A. Ketelsen, W. C. Kittrell, S. M. Miller and S. C. West Steward Observatory,

More information

Statement of Work for the procurement of the Collimator and Camera mirrors of the GTCAO WFC. Gran Telescopio de Canarias, S.A.

Statement of Work for the procurement of the Collimator and Camera mirrors of the GTCAO WFC. Gran Telescopio de Canarias, S.A. OAPs SOW TITLE Statement of Work for the procurement of the Collimator and Camera mirrors of the GTCAO WFC Code : Issue : Date : No. of pages : 8 Gran Telescopio de Canarias, S.A. Instituto de Astrofísica

More information

COS FUV Grating Substrate Specification

COS FUV Grating Substrate Specification COS FUV Grating Substrate Specification Date: Document Number: Revision: Contract No.: NAS5-98043 CDRL No.: N/A Prepared By: Reviewed By: Approved By: Approved By: Approved By: E. Wilkinson, COS Instrument

More information

OPTICS DIVISION B. School/#: Names:

OPTICS DIVISION B. School/#: Names: OPTICS DIVISION B School/#: Names: Directions: Fill in your response for each question in the space provided. All questions are worth two points. Multiple Choice (2 points each question) 1. Which of the

More information

Mirrors. Plano and Spherical. Mirrors. Published on II-VI Infrared

Mirrors. Plano and Spherical. Mirrors. Published on II-VI Infrared Page 1 of 13 Published on II-VI Infrared Plano and Spherical or total reflectors are used in laser cavities as rear reflectors and fold mirrors, and externally as beam benders in beam delivery systems.

More information

The Design, Fabrication, and Application of Diamond Machined Null Lenses for Testing Generalized Aspheric Surfaces

The Design, Fabrication, and Application of Diamond Machined Null Lenses for Testing Generalized Aspheric Surfaces The Design, Fabrication, and Application of Diamond Machined Null Lenses for Testing Generalized Aspheric Surfaces James T. McCann OFC - Diamond Turning Division 69T Island Street, Keene New Hampshire

More information

Optical Engineering 421/521 Sample Questions for Midterm 1

Optical Engineering 421/521 Sample Questions for Midterm 1 Optical Engineering 421/521 Sample Questions for Midterm 1 Short answer 1.) Sketch a pechan prism. Name a possible application of this prism., write the mirror matrix for this prism (or any other common

More information

Manufacturing, testing and alignment of Sentinel-2 MSI telescope mirrors

Manufacturing, testing and alignment of Sentinel-2 MSI telescope mirrors Manufacturing, testing and alignment of Sentinel-2 MSI telescope mirrors P. Gloesener, F. Wolfs, F. Lemagne, C. Flebus AMOS Angleur, Belgium pierre.gloesener@amos.be P. Gloesener, F. Wolfs, F. Lemagne,

More information

Why is There a Black Dot when Defocus = 1λ?

Why is There a Black Dot when Defocus = 1λ? Why is There a Black Dot when Defocus = 1λ? W = W 020 = a 020 ρ 2 When a 020 = 1λ Sag of the wavefront at full aperture (ρ = 1) = 1λ Sag of the wavefront at ρ = 0.707 = 0.5λ Area of the pupil from ρ =

More information

Preliminary optical design for the WEAVE two-degree prime focus corrector

Preliminary optical design for the WEAVE two-degree prime focus corrector Preliminary optical design for the WEAVE two-degree prime focus corrector Tibor Agócs* a, Don Carlos Abrams b, Diego Cano Infantes b, Neil O'Mahony b, Kevin Dee c, Jean- Baptiste Daban d, Carole Gouvret

More information

Chapter Ray and Wave Optics

Chapter Ray and Wave Optics 109 Chapter Ray and Wave Optics 1. An astronomical telescope has a large aperture to [2002] reduce spherical aberration have high resolution increase span of observation have low dispersion. 2. If two

More information

Typical Interferometer Setups

Typical Interferometer Setups ZYGO s Guide to Typical Interferometer Setups Surfaces Windows Lens Systems Distribution in the UK & Ireland www.lambdaphoto.co.uk Contents Surface Flatness 1 Plano Transmitted Wavefront 1 Parallelism

More information

The optical upgrade of the Dark Energy Survey corrector Design and Manufacture of the Optics

The optical upgrade of the Dark Energy Survey corrector Design and Manufacture of the Optics The optical upgrade of the Dark Energy Survey corrector Design and Manufacture of the Optics Dr David Brooks Optical Science Laboratory Department of Physics & Astronomy University College London KICP

More information

The RSH Catalogue. CO2 Laser Optics/Consumables - Lenses

The RSH Catalogue. CO2 Laser Optics/Consumables - Lenses The RSH Catalogue CO2 Laser Optics/Consumables - Lenses 2014 2015 1 Company Profile RSH Optronics, Headquartered in Ajmer, Rajasthan, India, is the leading supplier & manufacturer for Photonics Products

More information

Contouring aspheric surfaces using two-wavelength phase-shifting interferometry

Contouring aspheric surfaces using two-wavelength phase-shifting interferometry OPTICA ACTA, 1985, VOL. 32, NO. 12, 1455-1464 Contouring aspheric surfaces using two-wavelength phase-shifting interferometry KATHERINE CREATH, YEOU-YEN CHENG and JAMES C. WYANT University of Arizona,

More information

Using molded chalcogenide glass technology to reduce cost in a compact wide-angle thermal imaging lens

Using molded chalcogenide glass technology to reduce cost in a compact wide-angle thermal imaging lens Using molded chalcogenide glass technology to reduce cost in a compact wide-angle thermal imaging lens George Curatu a, Brent Binkley a, David Tinch a, and Costin Curatu b a LightPath Technologies, 2603

More information

Design parameters Summary

Design parameters Summary 634 Entrance pupil diameter 100-m Entrance pupil location Primary mirror Exit pupil location On M6 Focal ratio 6.03 Plate scale 2.924 mm / arc second (on-axis) Total field of view 10 arc minutes (unvignetted)

More information

Observational Astronomy

Observational Astronomy Observational Astronomy Instruments The telescope- instruments combination forms a tightly coupled system: Telescope = collecting photons and forming an image Instruments = registering and analyzing the

More information

Waves & Oscillations

Waves & Oscillations Physics 42200 Waves & Oscillations Lecture 33 Geometric Optics Spring 2013 Semester Matthew Jones Aberrations We have continued to make approximations: Paraxial rays Spherical lenses Index of refraction

More information

Practical Guide to Specifying Optical Components

Practical Guide to Specifying Optical Components Practical Guide to Specifying Optical Components OPTI 521 Introduction to Opto-Mechanical Engineering Fall 2012 December 10, 2012 Brian Parris Introduction This paper is intended to serve as a practical

More information

PROCEEDINGS OF SPIE. Fabrication of the DESI corrector lenses

PROCEEDINGS OF SPIE. Fabrication of the DESI corrector lenses PROCEEDINGS OF SPIE SPIEDigitalLibrary.org/conference-proceedings-of-spie Fabrication of the DESI corrector lenses Timothy N. Miller, Robert W. Besuner, Michael E. Levi, Michael Lampton, Patrick Jelinsky,

More information

Southern African Large Telescope. Prime Focus Imaging Spectrograph. Grating and Filter Specification Document

Southern African Large Telescope. Prime Focus Imaging Spectrograph. Grating and Filter Specification Document Southern African Large Telescope Prime Focus Imaging Spectrograph Grating and Filter Specification Document Chip Kobulnicky University of Wisconsin Kenneth Nordsieck University of Wisconsin Revision 2.1

More information

J. C. Wyant Fall, 2012 Optics Optical Testing and Testing Instrumentation

J. C. Wyant Fall, 2012 Optics Optical Testing and Testing Instrumentation J. C. Wyant Fall, 2012 Optics 513 - Optical Testing and Testing Instrumentation Introduction 1. Measurement of Paraxial Properties of Optical Systems 1.1 Thin Lenses 1.1.1 Measurements Based on Image Equation

More information

PRECISION LENS MOLDING OF CHALCOGENIDE OPTICS. Jayson J. Nelson 22 Apr 2015

PRECISION LENS MOLDING OF CHALCOGENIDE OPTICS. Jayson J. Nelson 22 Apr 2015 PRECISION LENS MOLDING OF CHALCOGENIDE OPTICS Jayson J. Nelson 22 Apr 2015 PRECISION LENS MOLDING OF CHALCOGENIDE OPTICS 2 Global markets are looking for low cost materials that satisfy infrared imaging

More information

Lecture 2: Geometrical Optics. Geometrical Approximation. Lenses. Mirrors. Optical Systems. Images and Pupils. Aberrations.

Lecture 2: Geometrical Optics. Geometrical Approximation. Lenses. Mirrors. Optical Systems. Images and Pupils. Aberrations. Lecture 2: Geometrical Optics Outline 1 Geometrical Approximation 2 Lenses 3 Mirrors 4 Optical Systems 5 Images and Pupils 6 Aberrations Christoph U. Keller, Leiden Observatory, keller@strw.leidenuniv.nl

More information

Converging Lenses. Parallel rays are brought to a focus by a converging lens (one that is thicker in the center than it is at the edge).

Converging Lenses. Parallel rays are brought to a focus by a converging lens (one that is thicker in the center than it is at the edge). Chapter 30: Lenses Types of Lenses Piece of glass or transparent material that bends parallel rays of light so they cross and form an image Two types: Converging Diverging Converging Lenses Parallel rays

More information

An integral eld spectrograph for the 4-m European Solar Telescope

An integral eld spectrograph for the 4-m European Solar Telescope Mem. S.A.It. Vol. 84, 416 c SAIt 2013 Memorie della An integral eld spectrograph for the 4-m European Solar Telescope A. Calcines 1,2, M. Collados 1,2, and R. L. López 1 1 Instituto de Astrofísica de Canarias

More information

SPIE Volume 472 PRECISION OPTICAL GLASSWORKING. A manual for the manufacture, W. Zschommler. Glasbearbeitung (Werkkiinde fur den Feinoptiker)

SPIE Volume 472 PRECISION OPTICAL GLASSWORKING. A manual for the manufacture, W. Zschommler. Glasbearbeitung (Werkkiinde fur den Feinoptiker) SPIE Volume 472 PRECISION OPTICAL GLASSWORKING A manual for the manufacture, testing and design of precision optical components and the training of optical craftsmen W. Zschommler English translation by

More information

Ch 24. Geometric Optics

Ch 24. Geometric Optics text concept Ch 24. Geometric Optics Fig. 24 3 A point source of light P and its image P, in a plane mirror. Angle of incidence =angle of reflection. text. Fig. 24 4 The blue dashed line through object

More information

A new prime-focus corrector for paraboloid mirrors

A new prime-focus corrector for paraboloid mirrors 2013 THOSS Media & DOI 10.1515/aot-2012-0078 Adv. Opt. Techn. 2013; 2(1): 111 116 Research Article Andrew Rakich* and Norman J. Rumsey A new prime-focus corrector for paraboloid mirrors Abstract: A new

More information

Null Hartmann test for the fabrication of large aspheric surfaces

Null Hartmann test for the fabrication of large aspheric surfaces Null Hartmann test for the fabrication of large aspheric surfaces Ho-Soon Yang, Yun-Woo Lee, Jae-Bong Song, and In-Won Lee Korea Research Institute of Standards and Science, P.O. Box 102, Yuseong, Daejon

More information

Reflectors vs. Refractors

Reflectors vs. Refractors 1 Telescope Types - Telescopes collect and concentrate light (which can then be magnified, dispersed as a spectrum, etc). - In the end it is the collecting area that counts. - There are two primary telescope

More information

StockOptics. CATALOG 2018 Europe

StockOptics. CATALOG 2018 Europe StockOptics CATALOG 2018 Europe Dear asphericon customer Within the StockOptics product line, you can choose from an extensive portfolio of precision-polished aspheric lenses, cylinders and axicons. Benefit

More information

EE119 Introduction to Optical Engineering Fall 2009 Final Exam. Name:

EE119 Introduction to Optical Engineering Fall 2009 Final Exam. Name: EE119 Introduction to Optical Engineering Fall 2009 Final Exam Name: SID: CLOSED BOOK. THREE 8 1/2 X 11 SHEETS OF NOTES, AND SCIENTIFIC POCKET CALCULATOR PERMITTED. TIME ALLOTTED: 180 MINUTES Fundamental

More information

3.0 Alignment Equipment and Diagnostic Tools:

3.0 Alignment Equipment and Diagnostic Tools: 3.0 Alignment Equipment and Diagnostic Tools: Alignment equipment The alignment telescope and its use The laser autostigmatic cube (LACI) interferometer A pin -- and how to find the center of curvature

More information

Post PDR Optical Design Study. Robert Barkhouser JHU/IDG January 6, 2014

Post PDR Optical Design Study. Robert Barkhouser JHU/IDG January 6, 2014 ARCTIC Post PDR Optical Design Study Robert Barkhouser JHU/IDG January 6, 2014 1 APO 3.5 m Telescope Model From Joe H. as part of f8v240 imager model. dl Note (1) curved focal surface and (2) limiting

More information

Performance Factors. Technical Assistance. Fundamental Optics

Performance Factors.   Technical Assistance. Fundamental Optics Performance Factors After paraxial formulas have been used to select values for component focal length(s) and diameter(s), the final step is to select actual lenses. As in any engineering problem, this

More information

Designing and Specifying Aspheres for Manufacturability

Designing and Specifying Aspheres for Manufacturability Designing and Specifying Aspheres for Manufacturability Jay Kumler Coastal Optical Systems Inc 4480 South Tiffany Drive, West Palm Beach, FL 33407 * ABSTRACT New technologies for the fabrication of aspheres

More information

Fizeau interferometer with spherical reference and CGH correction for measuring large convex aspheres

Fizeau interferometer with spherical reference and CGH correction for measuring large convex aspheres Fizeau interferometer with spherical reference and CGH correction for measuring large convex aspheres M. B. Dubin, P. Su and J. H. Burge College of Optical Sciences, The University of Arizona 1630 E. University

More information

1.1 Singlet. Solution. a) Starting setup: The two radii and the image distance is chosen as variable.

1.1 Singlet. Solution. a) Starting setup: The two radii and the image distance is chosen as variable. 1 1.1 Singlet Optimize a single lens with the data λ = 546.07 nm, object in the distance 100 mm from the lens on axis only, focal length f = 45 mm and numerical aperture NA = 0.07 in the object space.

More information

Lecture 2: Geometrical Optics. Geometrical Approximation. Lenses. Mirrors. Optical Systems. Images and Pupils. Aberrations.

Lecture 2: Geometrical Optics. Geometrical Approximation. Lenses. Mirrors. Optical Systems. Images and Pupils. Aberrations. Lecture 2: Geometrical Optics Outline 1 Geometrical Approximation 2 Lenses 3 Mirrors 4 Optical Systems 5 Images and Pupils 6 Aberrations Christoph U. Keller, Leiden Observatory, keller@strw.leidenuniv.nl

More information

EE119 Introduction to Optical Engineering Spring 2002 Final Exam. Name:

EE119 Introduction to Optical Engineering Spring 2002 Final Exam. Name: EE119 Introduction to Optical Engineering Spring 2002 Final Exam Name: SID: CLOSED BOOK. FOUR 8 1/2 X 11 SHEETS OF NOTES, AND SCIENTIFIC POCKET CALCULATOR PERMITTED. TIME ALLOTTED: 180 MINUTES Fundamental

More information

Optical design of a high resolution vision lens

Optical design of a high resolution vision lens Optical design of a high resolution vision lens Paul Claassen, optical designer, paul.claassen@sioux.eu Marnix Tas, optical specialist, marnix.tas@sioux.eu Prof L.Beckmann, l.beckmann@hccnet.nl Summary:

More information

Optical Components for Laser Applications. Günter Toesko - Laserseminar BLZ im Dezember

Optical Components for Laser Applications. Günter Toesko - Laserseminar BLZ im Dezember Günter Toesko - Laserseminar BLZ im Dezember 2009 1 Aberrations An optical aberration is a distortion in the image formed by an optical system compared to the original. It can arise for a number of reasons

More information

Lenses Design Basics. Introduction. RONAR-SMITH Laser Optics. Optics for Medical. System. Laser. Semiconductor Spectroscopy.

Lenses Design Basics. Introduction. RONAR-SMITH Laser Optics. Optics for Medical. System. Laser. Semiconductor Spectroscopy. Introduction Optics Application Lenses Design Basics a) Convex lenses Convex lenses are optical imaging components with positive focus length. After going through the convex lens, parallel beam of light

More information

A fast F-number 10.6-micron interferometer arm for transmitted wavefront measurement of optical domes

A fast F-number 10.6-micron interferometer arm for transmitted wavefront measurement of optical domes A fast F-number 10.6-micron interferometer arm for transmitted wavefront measurement of optical domes Doug S. Peterson, Tom E. Fenton, Teddi A. von Der Ahe * Exotic Electro-Optics, Inc., 36570 Briggs Road,

More information

Testing Aspheric Lenses: New Approaches

Testing Aspheric Lenses: New Approaches Nasrin Ghanbari OPTI 521 - Synopsis of a published Paper November 5, 2012 Testing Aspheric Lenses: New Approaches by W. Osten, B. D orband, E. Garbusi, Ch. Pruss, and L. Seifert Published in 2010 Introduction

More information

ESPRESSO. Preliminary Specifications for the Dichroic. VLT-SPE-ESP , Issue 5.0 October 17 th, 2013

ESPRESSO. Preliminary Specifications for the Dichroic. VLT-SPE-ESP , Issue 5.0 October 17 th, 2013 Centro de Astrofísica da Universidade do Porto Universidade de Lisboa, CAAUL and LOLS INAF, Osservatorio Astronomico di Trieste INAF, Osservatorio Astronomico di Brera Observatory of the University of

More information

Tolerancing in Zemax. Lecture 4

Tolerancing in Zemax. Lecture 4 Tolerancing in Zemax Lecture 4 Objectives: Lecture 4 At the end of this lecture you should: 1. Understand the reason for tolerancing and its relation to typical manufacturing errors 2. Be able to perform

More information

EUV Plasma Source with IR Power Recycling

EUV Plasma Source with IR Power Recycling 1 EUV Plasma Source with IR Power Recycling Kenneth C. Johnson kjinnovation@earthlink.net 1/6/2016 (first revision) Abstract Laser power requirements for an EUV laser-produced plasma source can be reduced

More information

TMT Segment Polishing Principles

TMT Segment Polishing Principles TMT Segment Polishing Principles Eric Williams a, Jerry Nelson b, and Larry Stepp a a TMT Observatory Corporation, Pasadena, CA 91107 b University of California Santa Cruz, Santa Cruz, CA 95064 April 3,

More information

TECHNICAL QUICK REFERENCE GUIDE MANUFACTURING CAPABILITIES GLASS PROPERTIES COATING CURVES REFERENCE MATERIALS

TECHNICAL QUICK REFERENCE GUIDE MANUFACTURING CAPABILITIES GLASS PROPERTIES COATING CURVES REFERENCE MATERIALS TECHNICAL QUICK REFERENCE GUIDE COATING CURVES GLASS PROPERTIES MANUFACTURING CAPABILITIES REFERENCE MATERIALS TABLE OF CONTENTS Why Edmund Optics?... 3 Anti-Reflective (AR) Coatings... 4-16 Metallic Mirror

More information

Testing an off-axis parabola with a CGH and a spherical mirror as null lens

Testing an off-axis parabola with a CGH and a spherical mirror as null lens Testing an off-axis parabola with a CGH and a spherical mirror as null lens Chunyu Zhao a, Rene Zehnder a, James H. Burge a, Hubert M. Martin a,b a College of Optical Sciences, University of Arizona 1630

More information

LIGHT REFLECTION AND REFRACTION

LIGHT REFLECTION AND REFRACTION LIGHT REFLECTION AND REFRACTION REFLECTION OF LIGHT A highly polished surface, such as a mirror, reflects most of the light falling on it. Laws of Reflection: (i) The angle of incidence is equal to the

More information

BEAM HALO OBSERVATION BY CORONAGRAPH

BEAM HALO OBSERVATION BY CORONAGRAPH BEAM HALO OBSERVATION BY CORONAGRAPH T. Mitsuhashi, KEK, TSUKUBA, Japan Abstract We have developed a coronagraph for the observation of the beam halo surrounding a beam. An opaque disk is set in the beam

More information

CHAPTER 36 TOLERANCING TECHNIQUES

CHAPTER 36 TOLERANCING TECHNIQUES CHAPTER 36 TOLERANCING TECHNIQUES Robert R. Shannon Optical Sciences Center Uni ersity of Arizona Tucson, Arizona 3 6. 1 GLOSSARY a relative tolerance error BK7, SF2 types of optical glass C to F spectral

More information

!!! DELIVERABLE!D60.2!

!!! DELIVERABLE!D60.2! www.solarnet-east.eu This project is supported by the European Commission s FP7 Capacities Programme for the period April 2013 - March 2017 under the Grant Agreement number 312495. DELIVERABLED60.2 Image

More information

Wavefront Sensor for the ESA-GAIA Mission

Wavefront Sensor for the ESA-GAIA Mission Wavefront Sensor for the ESA-GAIA Mission L.L.A. Vosteen*, Draaisma F.,Werkhoven, W.P., Riel L.J.M.., Mol, M.H., Ouden G. den TNO Science and Industry, Stieltjesweg 1,2600 AD Delft, The Netherlands ABSTRACT

More information

Beam expansion standard concepts re-interpreted

Beam expansion standard concepts re-interpreted Beam expansion standard concepts re-interpreted Ulrike Fuchs (Ph.D.), Sven R. Kiontke asphericon GmbH Stockholmer Str. 9 07743 Jena, Germany Tel: +49-3641-3100500 Introduction Everyday work in an optics

More information

The 20/20 telescope: Concept for a 30 m GSMT

The 20/20 telescope: Concept for a 30 m GSMT The : Concept for a 30 m GSMT Roger Angel, Warren Davison, Keith Hege, Phil Hinz, Buddy Martin, Steve Miller, Jose Sasian & Neville Woolf University of Arizona 1 The : combining the best of filled aperture

More information

Design of null lenses for testing of elliptical surfaces

Design of null lenses for testing of elliptical surfaces Design of null lenses for testing of elliptical surfaces Yeon Soo Kim, Byoung Yoon Kim, and Yun Woo Lee Null lenses are designed for testing the oblate elliptical surface that is the third mirror of the

More information

25 cm. 60 cm. 50 cm. 40 cm.

25 cm. 60 cm. 50 cm. 40 cm. Geometrical Optics 7. The image formed by a plane mirror is: (a) Real. (b) Virtual. (c) Erect and of equal size. (d) Laterally inverted. (e) B, c, and d. (f) A, b and c. 8. A real image is that: (a) Which

More information

LIGHT-REFLECTION AND REFRACTION

LIGHT-REFLECTION AND REFRACTION LIGHT-REFLECTION AND REFRACTION Class: 10 (Boys) Sub: PHYSICS NOTES-Refraction Refraction: The bending of light when it goes from one medium to another obliquely is called refraction of light. Refraction

More information

Aspheric Lenses. Contact us for a Stock or Custom Quote Today! Edmund Optics BROCHURE

Aspheric Lenses. Contact us for a Stock or Custom Quote Today!   Edmund Optics BROCHURE Edmund Optics BROCHURE Aspheric Lenses products & capabilities Contact us for a Stock or Custom Quote Today! USA: +1-856-547-3488 EUROPE: +44 (0) 1904 788600 ASIA: +65 6273 6644 JAPAN: +81-3-3944-6210

More information

Asphere testing with a Fizeau interferometer based on a combined computer-generated hologram

Asphere testing with a Fizeau interferometer based on a combined computer-generated hologram 172 J. Opt. Soc. Am. A/ Vol. 23, No. 1/ January 2006 J.-M. Asfour and A. G. Poleshchuk Asphere testing with a Fizeau interferometer based on a combined computer-generated hologram Jean-Michel Asfour Dioptic

More information

SOAR Integral Field Spectrograph (SIFS): Call for Science Verification Proposals

SOAR Integral Field Spectrograph (SIFS): Call for Science Verification Proposals Published on SOAR (http://www.ctio.noao.edu/soar) Home > SOAR Integral Field Spectrograph (SIFS): Call for Science Verification Proposals SOAR Integral Field Spectrograph (SIFS): Call for Science Verification

More information

EE119 Introduction to Optical Engineering Spring 2003 Final Exam. Name:

EE119 Introduction to Optical Engineering Spring 2003 Final Exam. Name: EE119 Introduction to Optical Engineering Spring 2003 Final Exam Name: SID: CLOSED BOOK. THREE 8 1/2 X 11 SHEETS OF NOTES, AND SCIENTIFIC POCKET CALCULATOR PERMITTED. TIME ALLOTTED: 180 MINUTES Fundamental

More information

System/Prescription Data

System/Prescription Data System/Prescription Data File : U:\alpi's designs\1.0 Meter\1.0 meter optical design\old Lenses- Design Stuff\LCOGT 1.0meter Telescope Design for UCSB.zmx Title: LCOGT 1.0 Meter Telescope Date : THU NOV

More information

Technical Report Synopsis: Chapter 4: Mounting Individual Lenses Opto-Mechanical System Design Paul R. Yoder, Jr.

Technical Report Synopsis: Chapter 4: Mounting Individual Lenses Opto-Mechanical System Design Paul R. Yoder, Jr. Technical Report Synopsis: Chapter 4: Mounting Individual Lenses Opto-Mechanical System Design Paul R. Yoder, Jr. Introduction Chapter 4 of Opto-Mechanical Systems Design by Paul R. Yoder, Jr. is an introduction

More information

October 7, Peter Cheimets Smithsonian Astrophysical Observatory 60 Garden Street, MS 5 Cambridge, MA Dear Peter:

October 7, Peter Cheimets Smithsonian Astrophysical Observatory 60 Garden Street, MS 5 Cambridge, MA Dear Peter: October 7, 1997 Peter Cheimets Smithsonian Astrophysical Observatory 60 Garden Street, MS 5 Cambridge, MA 02138 Dear Peter: This is the report on all of the HIREX analysis done to date, with corrections

More information

Lens Design I. Lecture 3: Properties of optical systems II Herbert Gross. Summer term

Lens Design I. Lecture 3: Properties of optical systems II Herbert Gross. Summer term Lens Design I Lecture 3: Properties of optical systems II 205-04-8 Herbert Gross Summer term 206 www.iap.uni-jena.de 2 Preliminary Schedule 04.04. Basics 2.04. Properties of optical systrems I 3 8.04.

More information

Lens centering using the Point Source Microscope

Lens centering using the Point Source Microscope Invited Paper Lens centering using the Point Source Microscope Robert E. Parks Optical Perspectives Group, LLC, 5130 N. Calle la Cima, Tucson, AZ 85718 ABSTRACT Precision lens centering is necessary to

More information

INTERFEROMETER VI-direct

INTERFEROMETER VI-direct Universal Interferometers for Quality Control Ideal for Production and Quality Control INTERFEROMETER VI-direct Typical Applications Interferometers are an indispensable measurement tool for optical production

More information

New opportunities of freeform gratings using diamond machining

New opportunities of freeform gratings using diamond machining New opportunities of freeform gratings using diamond machining Dispersing elements for Astronomy: new trends and possibilities 11/10/17 Cyril Bourgenot Ariadna Calcines Ray Sharples Plan of the talk Introduction

More information

The LINOS Singlets. Our quality criteria:

The LINOS Singlets. Our quality criteria: The LINOS From convergent lenses and diffuse lenses to best form lenses and aspheres, our extensive selection of simple lenses, or singlets, with various focal lengths and diameters guarantees that you

More information

The Core Optics. Input Mirror T ~ 3% T ~ 3% Signal Recycling Photodetector

The Core Optics. Input Mirror T ~ 3% T ~ 3% Signal Recycling Photodetector The Core Optics End Mirror Power Recycling Mirror Input Mirror T ~ 3% T ~ 3% End Mirror T ~ 10 ppm Laser Nd:Yag 6 W 100 W 12 kw 20 m 4000 m Signal Recycling Photodetector Mirror (dark fringe) Fold mirrors

More information

Alex Lyubarsky OPTI 521 December 8, 2013

Alex Lyubarsky OPTI 521 December 8, 2013 Alex Lyubarsky OPTI 521 December 8, 2013 Introduction to Optical Specification Standards (Section 1) Sections 2-13 of ISO 10110 Standard Specification ISO 10110 Drawings Q & A ISO 10110 standard created

More information

The SIDE dual VIS-NIR fiber fed spectrograph for the 10.4 m Gran Telescopio Canarias

The SIDE dual VIS-NIR fiber fed spectrograph for the 10.4 m Gran Telescopio Canarias The SIDE dual VIS-NIR fiber fed spectrograph for the 10.4 m Gran Telescopio Canarias O. Rabaza* a, H.W. Epps b, M. Ubierna a, J. Sánchez a, M. Azzaro a, F. Prada a a Institute of Astrophysics of Andalucia

More information

Asphere and Freeform Measurement 101

Asphere and Freeform Measurement 101 OptiPro Systems Ontario, NY, USA Asphere and Freeform Measurement 101 Asphere and Freeform Measurement 101 By Scott DeFisher This work culminates the previous Aspheric Lens Contour Deterministic Micro

More information

Exercises Advanced Optical Design Part 5 Solutions

Exercises Advanced Optical Design Part 5 Solutions 2014-12-09 Manuel Tessmer M.Tessmer@uni-jena.dee Minyi Zhong minyi.zhong@uni-jena.de Herbert Gross herbert.gross@uni-jena.de Friedrich Schiller University Jena Institute of Applied Physics Albert-Einstein-Str.

More information

PHY 431 Homework Set #5 Due Nov. 20 at the start of class

PHY 431 Homework Set #5 Due Nov. 20 at the start of class PHY 431 Homework Set #5 Due Nov. 0 at the start of class 1) Newton s rings (10%) The radius of curvature of the convex surface of a plano-convex lens is 30 cm. The lens is placed with its convex side down

More information

Lecture 4: Geometrical Optics 2. Optical Systems. Images and Pupils. Rays. Wavefronts. Aberrations. Outline

Lecture 4: Geometrical Optics 2. Optical Systems. Images and Pupils. Rays. Wavefronts. Aberrations. Outline Lecture 4: Geometrical Optics 2 Outline 1 Optical Systems 2 Images and Pupils 3 Rays 4 Wavefronts 5 Aberrations Christoph U. Keller, Leiden University, keller@strw.leidenuniv.nl Lecture 4: Geometrical

More information

Using Stock Optics. ECE 5616 Curtis

Using Stock Optics. ECE 5616 Curtis Using Stock Optics What shape to use X & Y parameters Please use achromatics Please use camera lens Please use 4F imaging systems Others things Data link Stock Optics Some comments Advantages Time and

More information

4.1.2 Optical Specifications and Performance Goals

4.1.2 Optical Specifications and Performance Goals 4 WBS 1.4 Optics 4 WBS 1.4 Optics... 1 4.1 Optical Design... 2 4.1.1 Introduction... 2 4.1.2 Optical Specifications and Performance Goals... 2 4.1.3 Mechanical Requirements... 3 4.2 Characteristics and

More information

Vladimir Vassiliev UCLA

Vladimir Vassiliev UCLA Vladimir Vassiliev UCLA Reduce cost of FP instrumentation (small plate scale) Improve imaging quality (angular resolution) Minimize isochronous distortion (energy threshold, +) Increase FoV (sky survey,

More information

Optics and photonics Preparation of drawings for optical elements and systems. Part 5: Surface form tolerances

Optics and photonics Preparation of drawings for optical elements and systems. Part 5: Surface form tolerances Provläsningsexemplar / Preview INTERNATIONAL STANDARD ISO 10110-5 Third edition 2015-08-01 Optics and photonics Preparation of drawings for optical elements and systems Part 5: Surface form tolerances

More information

LuphoScan platforms. Dr. Gernot Berger (Business Development Manager) APOMA Meeting, Tucson, years of innovation

LuphoScan platforms. Dr. Gernot Berger (Business Development Manager) APOMA Meeting, Tucson, years of innovation 125 years of innovation (Business Development Manager) APOMA Meeting, Tucson, 2016 HQ in Berwyn, Pennsylvania $4.0 billion in sales (2015) 15,000 colleagues, 150 manufacturing locations, 30 countries Businesses

More information

An all-silica three-element wide-field corrector for GMT

An all-silica three-element wide-field corrector for GMT An all-silica three-element wide-field corrector for GMT Will Saunders 1*, Peter Gillingham 1, Sean Lin 2, Bob Woodruff 2, Andrew Rakich 2 1 Australian Astronomical Observatory, PO Box 915, North Ryde,

More information

Section A Conceptual and application type questions. 1 Which is more observable diffraction of light or sound? Justify. (1)

Section A Conceptual and application type questions. 1 Which is more observable diffraction of light or sound? Justify. (1) INDIAN SCHOOL MUSCAT Department of Physics Class : XII Physics Worksheet - 6 (2017-2018) Chapter 9 and 10 : Ray Optics and wave Optics Section A Conceptual and application type questions 1 Which is more

More information

Some of the important topics needed to be addressed in a successful lens design project (R.R. Shannon: The Art and Science of Optical Design)

Some of the important topics needed to be addressed in a successful lens design project (R.R. Shannon: The Art and Science of Optical Design) Lens design Some of the important topics needed to be addressed in a successful lens design project (R.R. Shannon: The Art and Science of Optical Design) Focal length (f) Field angle or field size F/number

More information

PRODUCT BROCHURE PRECITEC LR. Optical sensor for ultra-precision surfaces

PRODUCT BROCHURE PRECITEC LR. Optical sensor for ultra-precision surfaces PRODUCT BROCHURE PRECITEC LR Optical sensor for ultra-precision surfaces 2 PRECITEC LR Optical sensor for ultra-precision surfaces PRODUCT HIGHLIGHTS PUSHING THE LIMITS WITH OPTICAL MEASUREMENT The PRECITEC

More information