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Using state tomography for characterizing input principal modes in optically scattering medium.

Jun Yang, Daniel A Nolan

|December 2, 2016

Summary

This summary is machine-generated.

We developed two new methods to measure principal modes (Eisenbud-Wigner-Smith eigenstates) in scattering media using temporal delay measurements. These techniques offer efficient ways to characterize complex optical systems.

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Area of Science:

Optics
Quantum Mechanics
Materials Science

Background:

Characterizing complex optical systems is crucial for many applications.
Principal modes, or Eisenbud-Wigner-Smith eigenstates, describe the fundamental transmission properties of scattering media.
Existing methods for measuring these modes can be computationally intensive.

Purpose of the Study:

To introduce two novel, efficient methods for measuring principal modes in optically scattering media.
To leverage temporal delay measurements for characterizing system eigenstates.
To reduce the number of required input launching conditions compared to traditional techniques.

Main Methods:

Developed two distinct measurement protocols based on direct measurement of temporal delays.
Method 1 utilizes N² input launching conditions and measures mean signal delays.
Method 2, applicable for non-degenerate modes with large delay differences, requires only 3N - 2 input launching conditions.

Main Results:

Both proposed methods successfully measure principal modes (Eisenbud-Wigner-Smith eigenstates).
Method 1 provides full information on principal modes using mean signal delays.
Method 2 offers a significant reduction in required measurements under specific conditions.

Conclusions:

The proposed methods provide efficient and practical approaches for measuring principal modes in scattering media.
These techniques simplify the characterization of complex optical systems.
The findings have implications for controlling and utilizing light propagation in disordered materials.