ISSN:
1349-9432
Keywords:
photonic crystal
;
dispersion relation
;
symmetry
;
group theory
;
Green’s function
;
dipoleradiation
;
sum-frequency generation
;
stimulated emission
;
localized mode
;
lasing
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract In this article, a general theoretical framework to describe and analyze the optical properties of photonic crystals is presented. In addition to the analytical treatment of their optical response based on the method of Green’s function, numerical tools to calculate the dispersion relations and the eigenfunctions of the radiation field, transmission spectra, localized midgap modes, and lasing threshold are introduced and applied to some typical examples. Group theory to analyze the symmetry of the eigenmodes is also introduced, and the existence of uncoupled modes that cannot be excited by external plane waves is shown. The presence of the enhancement effect of nonlinear optical processes and stimulated emission due to the small group velocity which is easily realized in the photonic crystals is pointed out, and the possibility of low-threshold lasing in the photonic crystals is discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s10043-999-0381-0
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