# Optical Transfer Matrix method of layers with mechanical movements

## TL;DR

This paper extends the transfer matrix method to account for mechanical movements of layers, analyzing how velocity and velocity gradients influence electromagnetic reflection and transmission.

## Contribution

It introduces a modified transfer matrix approach that incorporates layer movements and velocity gradients, providing new insights into dynamic optical systems.

## Key findings

- Velocity affects phase and amplitude of reflection coefficients.
- Velocity gradients influence optical properties in layered systems.
- Modified method enables analysis of moving and flowing layers.

## Abstract

Transfer matrix method is a well-known and extensively used tool to compute the reflection and transmission coefficients of electromagnetic waves when interacting with a system of layers parallel to each other. We present here a modified form of transfer matrix method including the effects of any possible kinetic movements of layers with respect to each other with a constant velocity. We present a comprehensive analysis of the effect of velocity on the phase and amplitude of the reflection coefficient as a function of velocity. Additionally, to mimic the flow of liquids on top of layers we also present the effect of velocity gradients in the direction normal to the planar layers.

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Source: https://tomesphere.com/paper/1703.01490