1. Large area photonic crystal cavities: a local density approach
- Author
-
S. Greveling, M. C. F. Dobbelaar, D. van Oosten, Sub Nanophotonics, and Nanophotonics
- Subjects
Electromagnetic field ,Physics ,business.industry ,Physics::Optics ,Atomic and Molecular Physics, and Optics ,Schrödinger equation ,symbols.namesake ,Optics ,Effective mass (solid-state physics) ,Quantum harmonic oscillator ,Photovoltaics ,symbols ,Local-density approximation ,business ,Photonic crystal ,Photonic-crystal fiber - Abstract
Large area photonic crystal cavities are devices of interest for photovoltaics, optoelectronics, and solid-state lighting. However, depending on their dimensions they pose a large computational challenge. Here, we use a local density approach to avoid direct simulation of the device. We capture the effect of both ideal and distorted photonic crystals in an effective mass and an effective potential. We use these to map the problem of calculating the electromagnetic field modes to solving a simple time-independent Schrodinger equation. We show that, in the case that the hole radius varies quadratically as a function of position, the eigenmodes of the photonic crystals can be described by the corresponding eigenmodes of the quantum harmonic oscillator with typical agreements well above 90%.
- Published
- 2015