Demonstration of Range & Doppler Compensated Holographic Ladar

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Demonstration of Range & Doppler Compensated Holographic Ladar CLRC 2016 Presented by Piotr Kondratko Jason Stafford a Piotr Kondratko b Brian Krause b Benjamin Dapore a Nathan Seldomridge b Paul Suni b David Rabb a a AFRL Sensors Directorate b Lockheed Martin Advanced Technology Center, Coherent Technologies

Outline Digital Holography Overview and Applications Study Problem and Objective System Architecture and Design Controller Software System Overview Tracker Performance Field Tests and Results

Digital Holography Background Form holograms by interfering signal with off-axis reference beam Use COTS focal plane arrays (CCD/CMOS) to record data Numerically process & filter to obtain complex-valued images Access to image phase permits advanced functions Aberration correction / wavefront sensing, multi-aperture / synthetic aperture imaging, 3D and vibration imaging Pupil Plane Hologram 2D FFT DH System Implementation (Bi-static or Monostatic) Transmitter Pupil 200 300 350 Receiver Laser FPA LO Complex Image 400 500 360 370 380 390 200 300 400 500 400 Phase Correction 140 160 180 200 Sharpened Image 50 Local Oscillator 200 300 400 150 200 300 400 500 200 300 400 500 200 50 150 200 500 200 300 400 500

80 60 40 20 200 300 400 500 600 700 800 900 Applications of Digital Holography Capabilities Combined Coherent Imaging 200 300 400 500 600 700 800 900 Impacts QL sensitivity less laser power or > range Corrected imaging improved imaging Dual wavelength advanced imaging 200 400 600 800 200 400 600 800 Aberration Correction & WFS 120 80 60 40 20 1.2654 = Sharpness Plane: Image 50 150 200 Image Plane: Sharpness = 1.2122 120 Robust against scintillation Does not require a separate illuminator Multi-plane WFS deep turbulence correction 20 40 60 80 120 50 150 200 20 40 60 80 120 Multi & Synthetic Aperture Imaging HIPAT PHAST MATRX PHASER 3D, Vibration & Polarimetric Imaging DH enables phased array imaging High resolution imaging Lower SWaP 3D range & pose Vibration and Polarization Imaging Biometrics ID

The Problem Statement Relative motion between ladar and target integration efficiency: η χ DH system efficiency loss associated with Temporal Signal and LO alignment τ Frequency difference due to Doppler f D = 2v/λ CNR = η λ3 hc T2 ρ Ω Pt p πω 2 Return Signal Camera Integration ~few µs t p Camera Integration ~few µs t p LO Signal τ Missalignment f D Missalignment η χ τ, f D = χ 2 u,v τ, f D E u E v Time η = 1 τ t p η = sinc 2 f D t p

Demonstration Objective Demonstrate range and Doppler compensation technique for a moving target Location: Wright Patterson AFB Time: May 2015 CNRs: ~8 to 24 db (pulse width and target reflectivity) Parameter Design Value TX Peak Power 500 mw Wavelength (λ) 1545 nm Pulse width (t p ) - 300 ns Target max speed (v) ±~20 m/s (±45 mph) Target range (R) 200-0 m Target reflectivity (ρ/ω) Retro Tape 1: 89 (sr -1 ) Retro Tape 2: 8 (sr -1 ) Aperture 27.5 cm (11 ) System efficiency (η) 6% One-way atmospheric transmission (T) 96% WPAFB

DH Imager System Architecture Focal length FOV at 500 m Parameter Value 11.9 m 32 cm Physical layout of designed system

Functional Diagram of DH System Acquire Range - Direct Detection - Laser Range Finder Filter Noise and Estimate (Kalman) - Target Distance - Target Velocity Adjust the DH System f D = 2v/λ - Frequency AOFS - Pulse Positions

Field Testing and Target Ranger Telescope DH Range & Doppler Demonstration System DH Ranger Target on Runway Illumination Scheme

Tracker Performance Range: 1 cm 67ps (small fraction from 300ns pulse) Doppler: Measured > 1 m/s 55% Efficiency Filtered ~0.05 m/s 99% Efficiency Range less important than Doppler filtering

DH Ranging Results Approximate Vehicle Target Velocities: 5, 10, 13, 16, 24 m/s Model includes range dependent vignetting CNR = η λ3 hc T2 ρ Ω Pt p πω 2 Moving Target DH Pupils No CNR loss due to range and Doppler was observed

Range & Doppler Ambiguity Function System configured (automated) to validate range and Doppler ambiguity function target is fixed at range sweep programmed range and Doppler T ( T u η χ t, f = χ u,v t, f 2 E u E v T T ) / 2 t v v 0 ( t d, d f d ( T u 2 T ) T T t ( T sinc ( T T ) / 2 t u v v d u 2 u ( f T ) / 2 ( T T ) / 2 t v d d T ) v u T ) / 2 d v Experiment Model

Summary and Future Work Digital Holography Ladar Demonstration of range and Doppler compensation System capability complete efficiency recovery at ~24 m/s vehicle target speeds from ~200-700m Demonstration confirmed range and Doppler ambiguity model Future Work: Range and Doppler compensation for multi-aperture DH RX/TX systems for ground and air platforms Contact Information: Jason Stafford: jason.stafford.2@us.af.mil Peter Kondratko: piotr.k.kondratko@lmco.com

Software and Timing Architecture