Range walk error correction and modeling on Pseudo-random photon counting system

Shanshan Shen; Qian Chen; Weiji He

doi:10.1117/12.2270162

1 August 2017 Range walk error correction and modeling on Pseudo-random photon counting system

Shanshan Shen, Qian Chen, Weiji He

Proceedings Volume 10339, Pacific Rim Laser Damage 2017: Optical Materials for High-Power Lasers; 1033922 (2017) https://doi.org/10.1117/12.2270162
Event: Pacific Rim Laser Damage 2017: Optical Materials for High Power Lasers, 2017, Shanghai, China

Abstract

Signal to noise ratio and depth accuracy are modeled for the pseudo-random ranging system with two random processes. The theoretical results, developed herein, capture the effects of code length and signal energy fluctuation are shown to agree with Monte Carlo simulation measurements. First, the SNR is developed as a function of the code length. Using Geiger-mode avalanche photodiodes (GMAPDs), longer code length is proven to reduce the noise effect and improve SNR. Second, the Cramer–Rao lower bound on range accuracy is derived to justify that longer code length can bring better range accuracy. Combined with the SNR model and CRLB model, it is manifested that the range accuracy can be improved by increasing the code length to reduce the noise-induced error. Third, the Cramer–Rao lower bound on range accuracy is shown to converge to the previously published theories and introduce the Gauss range walk model to range accuracy. Experimental tests also converge to the presented boundary model in this paper. It has been proven that depth error caused by the fluctuation of the number of detected photon counts in the laser echo pulse leads to the depth drift of Time Point Spread Function (TPSF). Finally, numerical fitting function is used to determine the relationship between the depth error and the photon counting ratio. Depth error due to different echo energy is calibrated so that the corrected depth accuracy is improved to 1cm.

Citation Download Citation

Shanshan Shen, Qian Chen, and Weiji He "Range walk error correction and modeling on Pseudo-random photon counting system", Proc. SPIE 10339, Pacific Rim Laser Damage 2017: Optical Materials for High-Power Lasers, 1033922 (1 August 2017); https://doi.org/10.1117/12.2270162

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KEYWORDS

Photon counting

Laser development

Vertical cavity surface emitting lasers

Avalanche photodiodes

Calibration

Monte Carlo methods

Pulsed laser operation

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