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
PhotonicsPhotonic crystalMaxwell's equationsPolygon meshElectromagnetic fieldScatteringComputer scienceElectromagnetic field solverPhysicsOpticsOptical fieldClassical mechanicsQuantum mechanics
Affiliated Institutions
Related Publications
Collective Theory for Surface Enhanced Raman Scattering
We present an implementation of Maxwell's equations on adaptive meshes in order to study interaction of light with metal surfaces. For the first time it is possible to handle su...
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations ...
Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap
Although light propagation in weakly modulated photonic crystals is basically similar to propagation in a diffraction grating in which conventional refractive index loses its me...
Anomalous refractive properties of photonic crystals
We describe methods of investigating the behavior of photonic crystals. Our approach establishes a link between the dispersion relation of the Bloch modes for an infinite crysta...
The general theory of van der Waals forces
Publisher Summary The van der Waals forces refer to the attractive forces acting between any two neutral atoms or molecules that are separated by distance large compared to th...
Publication Info
- Year
- 1996
- Type
- article
- Volume
- 8
- Issue
- 9
- Pages
- 1085-1108
- Citations
- 207
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
207
OpenAlex
Cite This
J. B. Pendry
(1996).
Calculating photonic band structure.
Journal of Physics Condensed Matter
, 8
(9)
, 1085-1108.
https://doi.org/10.1088/0953-8984/8/9/003
Identifiers
- DOI
- 10.1088/0953-8984/8/9/003