Calculating photonic band structure
- 26 February 1996
- journal article
- review article
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 8 (9), 1085-1108
- https://doi.org/10.1088/0953-8984/8/9/003
Abstract
Photonic materials structured on the scale of the wavelength of light have become the subject of an active field of research fed by the hope of creating novel properties. Theory plays a central role reinforced by the difficulty of manufacturing photonic materials: unusually we are better able to design a photonic material than to build it. In this review we explore the application of scattering theory to Maxwell's equations that has enabled theory to make such a central contribution: implementation of Maxwell's equations on a discrete mesh, development of the electromagnetic transfer matrix, order-N methods, and adaptive meshes. At the same time we present applications to a few key problems by way of illustration, and discuss the special circumstances of metallic photonic structures and their unique properties.Keywords
This publication has 20 references indexed in Scilit:
- Photonic Band StructuresJournal of Modern Optics, 1994
- A Brief Review of Theoretical Results for Photonic Band StructuresJournal of Modern Optics, 1994
- Photonic band-gap crystalsJournal of Physics: Condensed Matter, 1993
- Calculation of photon dispersion relationsPhysical Review Letters, 1992
- Scattering of electromagnetic waves by periodic structuresJournal of Physics: Condensed Matter, 1992
- Photonic band structure: The face-centered-cubic case employing nonspherical atomsPhysical Review Letters, 1991
- Existence of a photonic gap in periodic dielectric structuresPhysical Review Letters, 1990
- Electromagnetic wave propagation in periodic structures: Bloch wave solution of Maxwell’s equationsPhysical Review Letters, 1990
- Full vector wave calculation of photonic band structures in face-centered-cubic dielectric mediaPhysical Review Letters, 1990
- Inhibited Spontaneous Emission in Solid-State Physics and ElectronicsPhysical Review Letters, 1987