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4 edition of Multiple scattering by a random stack of dielectric slabs. N.Y., 1958. found in the catalog.

Multiple scattering by a random stack of dielectric slabs. N.Y., 1958.

by I. Kay

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Published by Courant Institute of Mathematical Sciences, New York University in New York .
Written in English


Edition Notes

Statement(by I. Kay and A. Silverman.)
ContributionsSilverman, A.
The Physical Object
Pagination25 p.
Number of Pages25
ID Numbers
Open LibraryOL17971963M

  Tables of X and Y are referenced in Table 1. With their aid we may use the similarity relations [Eqs. (14)-(17)] to relate a given problem to the corresponding solution for isotropic scattering. [Note that X and Y MULTIPLE SCATTERING IN PLANETARY ATMOSPHERES functions can be defined also for aniso- and tropic scattering, but that ://   Let a plane monochromatic wave uo(so,r) = exp(ik,s,. r), k, = 2 n / l, propagating along the direction of the unit vector so be incident on a confined random inhomogeneous medium. Then the field obeys the equation () where I (r) is the random part of dielectric permittivity responsible for multiple ://

P. Sheng, B. White, Z.Q. Zhang, and G. Papanicolaou, Wave Localization and Multiple Scattering in Randomly-Layerered Media, in: Scattering and Localization of Classical Waves in Random Media edited by Ping Sheng (World Scientific, Singapore, ). Google Scholar   In random lasers, which do not have mirrors or a well-defined cavity, light is confined within the gain medium by means of multiple scattering. The sharp peaks in the emission spectra of semiconductor powders, first observed in , has therefore lead to an intense debate about the nature of the lasing modes in these so-called lasers with

Engineering light scattering with low-loss dielectric nanostructures (Conference Presentation) Luca Dal Negro Proc. SPIE , Photonic and Phononic Properties of Engineered Nanostructures VIII, Q (14 March ); doi: /   Theoretical considerations are reviewed, concerning models for the development of band bending, Raman scattering in general and its application to surface regions. Experimental results of band-bending analysis by Raman spectroscopy are discussed for various systems, including gas-covered surfaces, semiconductor/metal interfaces, and


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Multiple scattering by a random stack of dielectric slabs. N.Y., 1958 by I. Kay Download PDF EPUB FB2

This banner text can have markup. web; books; video; audio; software; images; Toggle navigation   In order to separate the scattering effect from the intrinsic attenuation, we need a multiple scattering model for seismic wave propagation in random heterogeneous media.

In this paper, we apply radiative transfer theory to seismic wave propagation and formulate in the frequency domain the energy density distribution in space for a point :// Scattering of light by a random stack of dielectric 1958. book represents a one-dimensional scattering problem, where the scattered field is a three-dimensional vector :// Kurokawa Y, Miyazaki H, Jimba Y () Light scattering from a monolayer of periodically arrayed dielectric spheres on dielectric substrates.

Phys Rev B –4 ADS CrossRef Google Scholar Kurokawa Y, Miyazaki H, Jimba Y (a) Optical band structure and near-field intensity of a periodically arrayed monolayer of dielectric spheres on This tutorial gives an overview of the transverse Anderson localization of light in one and two transverse dimensions.

A pedagogical approach is followed throughout the presentation, where many aspects of localization are illustrated by means of a few simple models.

The tutorial starts with some basic aspects of random matrix theory and light propagation through and reflection from a random ?uri=aop Volume 9, Issue 2 Supplement, September ISSN: (Online) In this issue Multiple scattering by a random stack of dielectric slabs.

Kay, R. A A Monte-Carlo method to calculate multiple phase space integrals — II. Cerulus, E. Hagedorn Pages Continue reading To view the rest of this content please follow This self-contained and accessible book provides a thorough introduction to the basic physical and mathematical principles required in studying the scattering and absorption of light and other electromagnetic radiation by particles and particle :// For random arrays, the phenomenon of wave transmission and scattering is investigated and compared in two scenarios: (1) Wave propagating through the array of cylinders; this is the scenario which   We consider resonant nanostructure arrays and gratings illuminated by free-space plane waves.

Semi-infinite metallic and dielectric membranes (slabs surrounded by a vacuum), periodically nanostructured in one or two dimensions, are depicted in figure the 1D case, the structure is infinite in y and infinitely periodic in x, the electromagnetic solutions are independent of :// Aerosols are defined as particles suspended in air or any other gaseous medium.

These particles may be solid (dust, smoke, fume etc.) or liquid (mist, fog etc.). They range in size from   results in a spatially modulated index of refraction n x. Outside the random me-dium n 0=1.

The system is randomized by specifying thicknesses for each layer as d 1,2= d 1,2 1+, where d 1 = nm and d 2 = nm are the average thick-nesses of the layers, = represents the degree of randomness, and is a random number in −1,:// Random lasers [4,5], multiple scattering in random in essentially two-dimensional space by scattering from a random array of dielectric cylinders placed between a pair of parallel conducting   () Haining Chong, Zemin Xu, Zhewei Wang, Jianbo Yu, Tobias Biesner, Martin Dressel, Lan Wu, Qiang Li, and Hui Ye CMOS-Compatible Antimony-Doped Germanium Epilayers for Mid-Infrared Low-Loss High-Plasma-Frequency   Graphene is a flat monolayer of graphite with carbon atoms closely packed in a two-dimensional honeycomb lattice.

A hallmark of graphene is the existence of Dirac cones in the electronic band structure, resulting in extraordinary structural and electronic properties with great potential for nanoelectronics [1–3].In addition to outstanding electrical, mechanical and chemical properties Abstract.

This paper serves as a guide for a tour from proximity resonances to Anderson localization. It can be quite a long trip. To see a proximity resonance it is The scattering parameters S 11 and S 21 and the real and imaginary part of the dielectric permittivity estimated with the stepwise method when n = 0 and n = 1 are reported in Figure 6a,b, :// Controlled Random Surfaces.

The control of surface roughness with tuned statistical properties is a mean to choose the scattered light distribution. 19 The method based on photofabrication using the speckle of a diffused laser beam has been proposed by Gray. 20 It allows tuning the statistical properties of the generated surface by modifying parameters of the ://   Multiple scattering is a major interest for astronomers studying reflection and transmission of light by planetary atmospheres and its study, including the phenomenon of enhanced back-scattering, has resulted in considerable advances based on the exploitation of reciprocity (Mishchenko ).

Random plane wave in two-dimensional (2D) homogeneous and isotropic random medium is studied by means of stochastic functional approach.

The random medium is assumed to be an omnidirectional L. Tsang and J. Kong, "Multiple scattering of acoustic waves by random distributions of discrete scatterers with the use of quasicrystalline - coherent potential approximation," Journal of Applied Physics, Vol.

52,September. Zhao X, Wu Y, Fan Z and Li F Three-dimensional simulations of the complex dielectric properties of random composites by finite element method J. Appl. Phys. 95 –7 Crossref [76]  Since multiple scattering processes (dynamic diffraction theory) are very important for the properties of PTCs and PNCs, we discuss now the implications of structural ordering on the Fourier spectrum (see, for instance, Baake (), or Axel and Gratias ()).

Generally, a Fourier spectrum, can consist of three parts,Proc. SPIEPhotonic Crystal Materials and Devices XII, (1 July ); doi: /