Tunable Photonic Crystals
Abstract
Our initial theoretical work with Dr. Yu. Godin on asymptotic models for 3D thin-film photonic crystals is out. The results establish a possibility of spectral gaps and provide new computational tools for studies of 3D photonic crystals. A. Eigotin and Yu. Godin, 'Spectral Properties of Thin-film Photonic Crystals', SIAN J. Appl. Math., 61, No. 6, pp. 2008-2035 (2001). We finished our work on nonlinear photonic crystals with quadratic nonlinearity including the role the group velocity matching for nonlinear interactions in periodic media. We can see looking at publications a growing interest to nonlinear periodic dielectric structures, especially with quadratic nonlinearity. We believe that the work we have conducted is an achievement in that area. We learned from the editor that our paper was 'one of the most accessed articles for the Journal last year. A. Eabine and A. Figotin 'Nonlinear Photonic Crystals. I. Quadratic Nonlinearity', Waves in Random Media, II, pp. R31-R102 (2001) The work on the development of computationally efficient 'Resolvent method' for localized states in 20 photonic crystals of the square geometry is completed. We believe that the proposed method is superior in both the speed and the accuracy of computation. A. Figotin and V. Curen, 'Resolvent Method for Computation of Localized Defect, Modes of H-polarization in 20 Photonic crystals, Phys. Rev. E, 64, 056623, 2001. Rev. E, Vol. 63, pp. 066609-1-066609-17, 2001. All the computational work was carried Out en our 581' Octane' computers as well as 32 CPU parallel 581' Origin 2000' computer.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 2002
- Accession Number
- ADA405657
Entities
People
- Alex Figotin
Organizations
- University of California, Irvine