# On guided electromagnetic waves in photonic crystal waveguides

## TL;DR

This paper investigates the existence and confinement of guided electromagnetic waves in photonic crystal waveguides, providing conditions for their existence and explaining how band gaps enable confinement.

## Contribution

It offers new sufficient conditions for the existence of guided modes near specific spectral locations in photonic crystal waveguides.

## Key findings

- Conditions for existence of guided modes near spectral locations
- Confinement achieved through photonic band gaps
- Theoretical framework for waveguide design

## Abstract

The paper addresses the issue of existence and confinement of electromagnetic modes guided by linear defects in photonic crystals. Sufficient condition are provided for existence of such waves near a given spectral location. Confinement to the guide is achieved due to a photonic band gap in the bulk dielectric medium.