Abstract/Details

Wave scattering in random layered media


2010 2010

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Abstract (summary)

The scaling and statistics of the transport of waves in random media depend strongly on the dimensionality of the medium. The statistic of transmission in one dimension (1D) and quasi-1D (Q1D) have been calculated and tested. However, the statistic for other dimensions has not been established. Exploring transport in a layered system of stacks of glass cover slips with transverse nonuniformity has allowed us to study a dimensional crossover in transport from 1D towards 3D. The crossover occurs when the lateral spread of the wave become larger than the transverse coherence length in the transmitted speckle pattern as the number of layers increases.

In thin samples, in which light does not spread beyond a single coherence area of the field on the output surface, the statistics of normalized intensity follow 1D statistics associated with a segment of a log-normal distribution with a sharp drop below the log-normal distribution for low values of intensity. Once the lateral spread is larger than the transverse coherence length, the probability density of intensity becomes a mixture of a mesoscopic distribution and an intensity distribution of a Gaussian field. This distribution was originally found for Q1D. Beyond 1D, the intensity statistics have a same form as Q1D statistics which is a function of a single localization parameter, the "statistical conductance" g'. This transition from 1D to Q1D statistics reflects a topological change in the transmitted field. In 1D, the transmitted intensity never vanishes, while beyond 1D, a speckle pattern built upon a network of phase singularities forms.

Indexing (details)


Subject
Statistics;
Condensed matter physics;
Optics
Classification
0463: Statistics
0611: Condensed matter physics
0752: Optics
Identifier / keyword
Pure sciences; Random media; Speckle pattern; Wave localization; Wave optics; Wave propagation; Wave scattering
Title
Wave scattering in random layered media
Author
Park, Jongchul
Number of pages
99
Publication year
2010
Degree date
2010
School code
0046
Source
DAI-B 71/12, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9781124290591
Advisor
Genack, Azriel Z.
Committee member
Chen, Ying-Chin; Gumbs, Godfrey; Klosner, Jerome; Menon, Vinod M.
University/institution
City University of New York
Department
Physics
University location
United States -- New York
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3426805
ProQuest document ID
763427694
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/763427694
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