Efficient reference-less transmission matrix retrieval for DMD amplitude modulation

Transmission matrix (TM) has applications ranging from imaging through scattering, communication, to multimode fiber imaging. TM retrieval for binary amplitude modulation recovers the TM from the intensity outputs of probing binary incident fields. However, the computational complexity limits the application for retrieval of large TM. We propose an efficient algorithm for TM retrieval with binary amplitude modulation. Our method designs the probing binary fields with convolution matrix and develops efficient retrieval algorithm based on fast Fourier transform (FFT). It improves the computational complexity by orders of magnitude. We verify the proposed algorithm with simulated data.