Solutions of Maxwell Equations for Hollow curved Wave Conductor

TL;DR

This paper introduces a method to solve Maxwell equations for curved hollow wave conductors using an effective Riemannian space approach, explicitly constructing the metric and curvature tensor, with results aligning with experimental data.

Contribution

It presents a novel geometric framework for analyzing electromagnetic wave propagation in curved waveguides by explicitly constructing the associated Riemannian metric.

Findings

Method aligns with experimental observations

Explicit construction of metric and curvature tensor

Validates geometric approach for waveguide analysis

Abstract

In the present paper the idea is proposed to solve Maxwell equations for a curved hollow wave conductor by means of effective Riemannian space, in which the lines of motion of fotons are isotropic geodesies for a 4-dimensional space-time. The algorithm of constructing such a metric and curvature tensor components are written down explicitly. The result is in accordance with experiment.