Asymptotic methods for thin high-contrast two-dimensional PBG materials Academic Article

abstract

• This paper surveys recent analytic and numerical results on asymptotic models of spectra of electromagnetic (EM) waves in two-dimensional (2-D) thin high-contrast photonic bandgap (PBG) materials. These models lead to discovery of interesting phenomena, including extremely narrow bands that can be used for spontaneous emission enhancement, gaps in the long wave regions, and asymptotic periodicity of the spectrum. The asymptotic results provide unexpectedly good qualitative (and sometimes quantitative) description of spectral behavior for materials of finite contrast. In some cases, simple ordinary differential models can be derived that yield a good approximation of the spectra. In such situations, one can obtain approximate analytic formulas for the dispersion relations.

authors

• Kuchment, Peter

published proceedings

• JOURNAL OF LIGHTWAVE TECHNOLOGY

author list (cited authors)

• Axmann, W., Kuchment, P., & Kunyansky, L.

citation count

• 20

complete list of authors

• Axmann, W||Kuchment, P||Kunyansky, L

publication date

• January 1999

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Journal of Lightwave Technology  Journal

keywords

• Photonic Bandgap (pbg)
• Photonic Crystal
• Spectrum

Digital Object Identifier (DOI)

• 10.1109/50.802986

start page

• 1996

end page

• 2007

volume

• 17

issue

• 11

URL

• http%3A%2F%2Fdx.doi.org%2F10.1109%2F50.802986