Coherent light scattering and imaging in disordered media

The scattering and transmission of coherent light in correlated disordered media have significant research value in fundamental physics, scattering imaging, biomedical imaging, and various other applications. Directly solving optical scattering problems in disordered media typically involves the conversion of Maxwell's equations into integral equations, which can be computationally intensive. In this paper, we propose a coherent Monte Carlo ray tracing algorithm based on the Born approximation, which can efficiently simulate coherent light transport in the disordered media and generate speckle patterns. This algorithm utilizes the Born approximation theory to calculate scattering amplitudes and cross-sections of particles and modifies classical ray tracing algorithms to handle coherence of waves. To validate the accuracy of the algorithm, we compare its results with simulations that directly solve Maxwell's equations. The numerical results show that this algorithm provides highly consistent results with accurate wave equation scattering simulations while significantly reducing computation time, demonstrating its potential for applications in computational imaging tasks.