Random amplifying medium: statistics of super-reflectance and time-delay fluctuations

Kumar, N.

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3232

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DC Field	Value	Language
dc.contributor.author	Kumar, N.	-
dc.date.accessioned	2007-07-09T11:15:30Z	-
dc.date.available	2007-07-09T11:15:30Z	-
dc.date.issued	2001-03	-
dc.identifier.citation	Physica E: Low-dimensional Systems and Nanostructures, 2001, Vol.9, p356-361	en
dc.identifier.issn	1386-9477	-
dc.identifier.uri	http://hdl.handle.net/2289/3232	-
dc.description	Restricted Access.	en
dc.description.abstract	A light wave incident on a random amplifying medium (RAM) may be reflected with a reflection coefficient (r) exceeding unity. This super-reflectance and the associated time-delay will be non-self-averaging, and show sample-specific fluctuations characteristic of coherent transport through random media. The statistics of these random fluctuations involve a synergetic inter-play of disorder (localization) and coherent amplification (non-resonant distributed feedback), which is disallowed for its electronic (fermionic) counterpart. In this work, we review and report on some of our recent analytical results for these statistics for the case of a long one-dimensional (1D) RAM that physically corresponds to a single-channel optical fibre having gain and disorder, and operating in the reflection mode. Our main result is that the coherent amplification makes the probability density of the super-reflection peak for some r>1 with a long tail, while the otherwise infinite mean delay-time is rendered finite. Interestingly, our treatment of amplification provides a natural counter to monitor the time-delay for the corresponding passive (e.g., electronic) problem as well. Our approach, based on the invariant imbedding technique, is valid below the threshold for lasing, i.e., for the localization length < the gain-length.	en
dc.format.extent	75403 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	en
dc.publisher	Elsevier B.V.	en
dc.relation.uri	http://dx.doi.org/10.1016/S1386-9477(00)00228-9	en
dc.rights	2001 Elsevier B.V.	en
dc.subject	Reflection coefficient	en
dc.subject	Fluctuations	en
dc.subject	Random lasers	en
dc.subject	Delay time	en
dc.subject	Disorder	en
dc.title	Random amplifying medium: statistics of super-reflectance and time-delay fluctuations	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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