A New Compact Expression for the Powers of Hybrid Modes of the Step-Index Optical Fiber

TL;DR

This paper introduces a new, compact, and exact formula for calculating the powers of hybrid EH- and HE-modes in step-index optical fibers, utilizing Pauli matrices, and simplifies to approximate forms for weakly-guided fibers.

Contribution

It presents a novel, exact expression for hybrid mode powers in step-index fibers, derived using Pauli matrices, improving upon existing approximate methods.

Findings

Exact formula for hybrid mode powers developed

Expression simplifies to known approximations for weakly-guided fibers

Enhances accuracy and computational efficiency in fiber mode analysis

Abstract

A new, compact, and exact general expression is developed for the powers of hybrid EH- and HE-modes of the standard step-index optical fiber. The expression is found with the help of the Pauli matrices. The expression is reducible to widely used approximate forms for hybrid mode powers of weakly-guided fibers.