Common-path optical feedback interferometry design of single-pixel imaging experiments

We discuss and present the design and preliminary simulations of a common-path interferometer based on laser self-mixing effect to acquire wide field imaging by single-pixel compressed sensing. The design uses a random speckle generator to provide structured illumination on the target, compressed sensing algorithm to acquire images by using the laser source as the bucket detector and machine learning network to denoising the raw images. Simulations of the three elements show promising result in terms of signal acquisition, image computation and system’s training duration. Simulation of the laser dynamics in the common-path interferometry configuration results in robust steady state laser stability also in case of relatively large fluctuating feedback.