Radiative energy transfer in disordered photonic crystals
Abbreviated Journal Title
J. Phys.-Condes. Matter
Keywords
VARYING REFRACTIVE-INDEX; STRONGLY SCATTERING MEDIA; SELF-COLLIMATION; LIGHT DIFFUSION; BAND-STRUCTURE; PROPAGATION; WAVES; BACKSCATTERING; COHERENCE; EQUATIONS; Physics, Condensed Matter
Abstract
The difficulty of description of the radiative transfer in disordered photonic crystals arises from the necessity to consider on an equal footing the wave scattering by periodic modulations of the dielectric function and by its random inhomogeneities. We resolve this difficulty by approaching this problem from the standpoint of the general multiple scattering theory in media with an arbitrary regular profile of the dielectric function. We use the general asymptotic solution of the Bethe-Salpeter equation in order to show that for a sufficiently weak disorder the diffusion limit in disordered photonic crystals is presented by incoherent superpositions of the modes of the ideal structure with weights inversely proportional to the respective group velocities. The radiative transfer and the diffusion equations are derived as a relaxation of long scale deviations from this limiting distribution. In particular, it is shown that in general the diffusion is anisotropic unless the crystal has sufficiently rich symmetry, say, the square lattice in 2D or the cubic lattice in 3D. In this case, the diffusion is isotropic and only in this case can the effect of the disorder be characterized by a single mean free path depending on frequency.
Journal Title
Journal of Physics-Condensed Matter
Volume
21
Issue/Number
17
Publication Date
1-1-2009
Document Type
Article
Language
English
First Page
16
WOS Identifier
ISSN
0953-8984
Recommended Citation
"Radiative energy transfer in disordered photonic crystals" (2009). Faculty Bibliography 2000s. 1517.
https://stars.library.ucf.edu/facultybib2000/1517
Comments
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