Point Spread Function. Confocal Laser Scanning Microscopy. Confocal Aperture. Optical aberrations. Alternative Scanning Microscopy

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Bi177 Lecture 5 Adding the Third Dimension Wide-field Imaging Point Spread Function Deconvolution Confocal Laser Scanning Microscopy Confocal Aperture Optical aberrations Alternative Scanning Microscopy Two-photon Laser Scanning Microscopy

Widefield imaging: detail in the image from collecting diffracted light Larger aperture = more diffraction peaks = higher resolution Therefore, for any finite aperture: 1. diffraction limit in size of central maximum 2. Extended point spread function Point Spread Function: Image of a infinitely small object.

Point Spread Function is three dimensional Image of subdiffraction limit spot Subdiffraction limit spot Thus, each spot in specimen will be blurred onto the sensor (Aperture and Missing Cone )

To reduce contribution of the blurring to the image: Deconvolution Compute model of what might have generated the image Image blurred by PSF Compare and iterate Compute how model would be blurred by PSF

Image deconvolution Inputs: 3-D image stack 3-D PSF (bead image) Requires: Time Computer memory Note: z-axis blurring from the missing cone is minimized but not eliminated

How else to fill in the missing cone? Need more data in the Z-axis --> Confocal microscopy PMT Detector Detection Pinhole Confocal pinholes Dichroic Beam Splitter Excitation Laser Objective Excitation Pinhole Conjugate Focal Planes

Three confocal places Confocal Microscopy (Minsky, 1957)

Pinhole: Axial Filtering Identical Lenses Focal Points

Aperture trims the PSF: increased resolution in XY plane Cost: Loss of light

Aperture trims the PSF: increased resolution in Z direction But at a cost in brightness: Thinner section means less labeled material in image Aperture rejects some in focus light Subtle scattering or distortion rejects more light

Optical section thickness vs pinhole size % light passed by aperture Apparent brightness will be the product of these two!!

Resolution, Signal and Pinhole Diameter Best Resolution Best Signal to Noise http://depts.washington.edu/keck/leica/pinhole.htm

Why does confocal add depth discrimination? Light projected on a single spot in the specimen Good: excitation falls off by the distance from the focus squared Spatial filter in front of the detector Good: detection falls off by the distance from the focus squared Bad: illumination of regions that are not used to generate an image Optical sectioning Combined, sensitivity falls off by (distance from the focus) 4

But this arrangement generates an image of only one point in the specimen Only a single point is imaged at a time. Detector signal must be decoded by a computer to reconstruct image. Imaging point needs to be scanned somehow.

Scan Specimen Good: Microscope works on axis Best correction for optical aberrations Most uniform light collection efficiency Bad: Slow Sloshes specimen

Scan Microscope Head Good: Specimen doesn t move Microscope works on axis Best correction for optical aberrations Most uniform light collection efficiency Bad: Slow Optics can be more complicated

Scan Laser Good: Faster Specimen moves slowly less sloshing Bad: Very high requirements on objective Light collection may be nonuniform off-axis More complicated

Optical Aberrations: Imperfections in optical systems Chromatic (blue=shorter wavelength) Spherical Curvature of field

Spherical Aberration Zone of Confusion

Spherical aberration: Light misses aperture (and defocused)

Higher index of refraction results in shorter f Chromatic Aberration Lateral (magnification) Axial (focus shift) f Shift of focus i o Change in magnification

Lateral chromatic aberration - light misses aperture

Curvature of field: Flat object does not project a flat image f i o Results in a port hole image: dimmer at edges

Aberrations result in loss of signal and soft focus at depth

How to scan the laser beam? Place galvometer mirror at the telencentric point All light travels through the same zone Angle at which the light travels dictates the position in the specimen plane Telencentric Plane

Position is critical Place galvometer mirror AT the telencentric point laser If not at the point, Spherical aberration results How can two mirrors be at the same point?? Optical relay (without aberration)

1:1 Image relay Focal Point f

Position is critical Place galvometer mirrors AT the telencentric point Optically two mirrors can be at the same point Optical relay (without aberration)

Limitations: Phototoxicity Sample is continuously exposed to light. Weaker signal within sample requires stronger excitation and causes more toxicity.

Limitations: Photobleaching Scanning causes repeated exposure above and below.

Loss of sectioning by Scattering

How else to do confocal microscopy?

Tandem spinning disk scanner Illumination through this side Illumination through this side Alignment is critical Most of light hits mask not hole

Nipkow disk with lenslets >>1% pass Yokogawa

Nipkow disk with lenslets Yokogawa

Optical sectioning without an aperture? Two-Photon laser-scanning microscopy

Two-Photon Excited Fluorescence Very low probability: required intense pulsed laser light Requires two photons: excitation is a function of (exciting light) 2 Exciting light falls off by (distance from focus) 2 Thus, Emission falls off by (distance from focus) 4 --> Optical Sectioning without a confocal aperture!!

TPLSM depth discrimination by selective excitation Light projected on a single spot in the specimen Good: illumination falls off by the distance from the focus squared And Excitation depends on the square of the intensity Spatial filter in front of the detector Good: detection falls off by the distance from the focus squared Bad: illumination of regions that are not used to generate an image Optical sectioning Combined, sensitivity falls off by (distance from the focus) 4

Evil test case (David Piston) Deconvolution vs Confocal Fluorescent plastic cube Bleach one plane using TPLSM

N.A. and image brightness Epifluorescence N.A. = η sin θ Brightness = fn (NA 4 / magnification 2 ) 10x 0.5 NA is 8 times brighter than 10x 0.3NA θ But time matters Pulses are very short 100fsec x c = 30µm