Coherently amplifying random medium: Statistics of super-reflection

Kumar, N.; Pradhan, P.; Jayannavar, A.M.

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3064

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DC Field	Value	Language
dc.contributor.author	Kumar, N.	-
dc.contributor.author	Pradhan, P.	-
dc.contributor.author	Jayannavar, A.M.	-
dc.date.accessioned	2007-06-21T09:01:58Z	-
dc.date.available	2007-06-21T09:01:58Z	-
dc.date.issued	1998-03	-
dc.identifier.citation	Superlattices and Microstructures, 1998, Vol.23, p853-857	en
dc.identifier.issn	0749-6036	-
dc.identifier.uri	http://hdl.handle.net/2289/3064	-
dc.description	Restricted Access.	en
dc.description.abstract	Light-wave propagation in a randomly scattering but uniformly and coherently amplifying optical medium is analysed for the statistics of the coefficient of reflectionr(l) that may now exceed unity, hence super-reflection. Uniform coherent amplification is introduced phenomenologically through a constant negative imaginary part added to the otherwise real dielectric constant of the medium, assumed random. The probability densityp(r,l) for the reflection coefficient, calculated in a random phase approximation, tends to an asymptotic formp(r, ∞) having a long tail with divergent mean left angle bracketrright-pointing angle bracket in the limit of weak disorder but with the sample lengthl(measured in units of the localization length in the absence of gain) much greater-than1. This super-reflection is attributed to a synergetic effect of localization and coherent amplification, as distinct from the classically diffusive path-length prolongation. Our treatment is based on the invariant-imbedding method for the one-channel (single-mode) case, and is in the spirit of the scattering approach to wave transport as pioneered by Landauer. Generalization to the multichannel case is pointed out. Relevance to random lasers, and some recent results for a sub-meanfree path sample are also briefly discussed.	en
dc.format.extent	104644 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	Elsevier B.V.	en
dc.relation.uri	http://dx.doi.org/10.1006/spmi.1997.0546	en
dc.rights	1998 Elsevier B.V.	en
dc.subject	random laser	en
dc.subject	localization	en
dc.subject	amplification	en
dc.subject	fluctuations	en
dc.title	Coherently amplifying random medium: Statistics of super-reflection	en
dc.type	Article	en
Appears in Collections:	Research Papers (LAMP)

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