Deviation of the waves in an inhomogeneous medium

TL;DR

This paper derives wave deviation in inhomogeneous media using Noorbala and Sepehrinia's formula, confirming its consistency with General Relativity for light in gravitational fields and illustrating the mecano-optics analogy.

Contribution

It demonstrates the application of Noorbala-Sepehrinia's formula to wave deviation in inhomogeneous media and confirms its validity in gravitational contexts.

Findings

Wave deviation formula matches General Relativity predictions for light.

Method verifies the mecano-optics analogy in gravitational fields.

Confirms the validity of Noorbala-Sepehrinia's formula.

Abstract

Using the formula found by Noorbala and Sepehrinia, the wave deviation in an inhomogeneous medium with continuous variation of propagation velocity is deduced. For electromagnetic waves (light) that propagate in the gravitational field, the deduced deviation is identical to that calculated from General Relativity. The method and its consequences are a good example that verifies the Noorbala-Sepehrinia's formula as well as the mecano-optics analogy (Hamilton's principle / principle of stationary action and Fermat's principle) for the bodies movement in the gravitational field.