Scattering-matrix analysis of periodically patterned multilayers with asymmetric unit cells and birefringent media
- 18 January 2008
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 77 (3), 035324
- https://doi.org/10.1103/physrevb.77.035324
Abstract
Fourier analysis has been successfully applied to study optical properties of photonic crystal structures, usually composed of optically isotropic media. In a commonly used formulation [D. M. Whittaker and I. S. Culshaw, Phys. Rev. B 60, 2610 (1999)], inversion symmetry of the unit cell is required. Here, we extend the treatment of Whittaker and Culshaw to structures with asymmetric unit cells that can be composed of birefringent media. As applications we consider a high-refractive-index membrane with a triangular lattice of triangular holes, where the presence of a TE-like gap at and of a TM-like gap at is established, and a slot waveguide made of (birefringent) porous silicon, where coupling of guided modes to radiative modes is achieved through a one-dimensional periodic grating.
Keywords
This publication has 45 references indexed in Scilit:
- Fast factorization rule and plane-wave expansion method for two-dimensional photonic crystals with arbitrary hole-shapePhysical Review B, 2006
- Cavity modes in one-dimensional photonic crystal slabsOptical and Quantum Electronics, 2005
- Ultra-low loss photonic integrated circuit with membrane-type photonic crystal waveguidesOptics Express, 2003
- High-Q photonic nanocavity in a two-dimensional photonic crystalNature, 2003
- Electromagnetic analysis of photonic crystal waveguides operating above the light coneIEEE Journal of Quantum Electronics, 2002
- Quasiguided modes and optical properties of photonic crystal slabsPhysical Review B, 2002
- New formulation of the Fourier modal method for crossed surface-relief gratingsJournal of the Optical Society of America A, 1997
- Electromagnetic properties of a dielectric grating. I. Propagating, evanescent, and guided wavesPhysical Review B, 1996
- Electromagnetic diffraction analysis of two-dimensional gratingsOptics Communications, 1993
- Matrix method for tunneling in heterostructures: Resonant tunneling in multilayer systemsPhysical Review B, 1988