Transmission matrix through scattering media via coupled partitioning evaluation.

Area of Science:

• Optics
• Wave Physics
• Computational Imaging

Background:

• The transmission matrix (TM) is crucial for understanding scattering systems in optical imaging and communications.
• Measuring high-dimensional TMs is computationally intensive due to coupled transmission elements and large linear systems.
• Current limitations hinder applications in wavefront control and high-resolution imaging through scattering media.

Purpose of the Study:

• To introduce a novel method for efficient acquisition of high-dimensional transmission matrices.
• To address the computational challenges associated with TM measurement.
• To enable advanced applications in scattering media manipulation.

Main Methods:

• Developed the coupled partitioning evaluation of the transmission matrix (CPETM) method.
• Decomposed interference terms among transmitted modes within TM submatrices.
• Reorganized the coupling of transmission elements for simplified computation.

Main Results:

• CPETM significantly reduces computational demands for high-dimensional TM acquisition.
• Demonstrated effective manipulation of coupling between transmission elements.
• Provided a practical and theoretical framework for analyzing scattering processes.

Conclusions:

• The CPETM method offers a computationally efficient approach to high-dimensional TM measurement.
• This technique facilitates improved wavefront control and high-resolution imaging through scattering media.
• The study provides valuable tools for manipulating and understanding light scattering.