Order N photonic band structures for metals and other dispersive materials

TL;DR

This paper introduces an efficient Order N computational method for calculating photonic band structures in metals and dispersive materials, enabling analysis of complex structures with high stability and accuracy.

Contribution

The paper presents the first Order N scheme for photonic band structure calculations in dispersive materials, improving efficiency and stability over previous methods.

Findings

Results closely match existing techniques for metallic systems

Method demonstrates excellent numerical stability

Enables analysis of complex dispersive structures

Abstract

We show, for the first time, how to calculate photonic band structures for metals and other dispersive systems using an efficient Order N scheme. The method is applied to two simple periodic metallic systems where it gives results in close agreement with calculations made with other techniques. Further, the approach demonstrates excellent numerical stablity within the limits we give. Our new method opens the way for efficient calculations on complex structures containing a whole new class of material.