Waves in periodic and random media : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Waves in Periodic and Random Media, June 22-28, 2002, Mount Holyoke College, South Hadley, MA
著者
書誌事項
Waves in periodic and random media : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Waves in Periodic and Random Media, June 22-28, 2002, Mount Holyoke College, South Hadley, MA
（Contemporary mathematics, 339）
American Mathematical Society, c2003
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注記
Includes bibliographical references
内容説明・目次
内容説明
Science and engineering have been great sources of problems and inspiration for generations of mathematicians. This is probably true now more than ever as numerous challenges in science and technology are met by mathematicians. One of these challenges is understanding propagation of waves of different nature in systems of complex structure. This book contains the proceedings of the research conference, 'Waves in Periodic and Random Media'. Papers are devoted to a number of related themes, including spectral theory of periodic differential operators, Anderson localization and spectral theory of random operators, photonic crystals, waveguide theory, mesoscopic systems, and designer random surfaces. Contributions are written by prominent experts and are of interest to researchers and graduate students in mathematical physics.
目次
Spectral properties of absorptive photonic crystals by J. M. Combes, B. Gralak, and A. Tip Regularity properties for the density of states of random Schrodinger operators by J.-M. Combes, P. D. Hislop, and F. Klopp Spectral properties of Schrodinger operators with a strongly attractive $\delta$ interaction supported by a surface by P. Exner Absolute continuity of the spectra of periodic waveguides by L. Friedlander The Anderson metal-insulator transport transition by F. Germinet and A. Klein Theory and computation of scattering resonances of photonic microstructures by S. E. Golowich and M. I. Weinstein Asymptotic formulas for eigenvalues and eigenfunctions of periodic magnetic Schrodinger operators by Yu. Karpeshina On guided waves in photonic crystal waveguides by P. Kuchment and B. Ong The design and photofabrication of random achromatic optical diffusers for uniform illumination by T. A. Leskova, A. A. Maradudin, E. R. Mendez, and J. Munoz-Lopez Resonance optical switch: Calculation of resonance eigenvalues by B. Pavlov and K. Robert High energy asymptotics of the density of states for certain periodic pseudo-differential operators in dimension one by A. V. Sobolev On discrete spectrum in the gaps of a two-dimensional periodic elliptic operator perturbed by a decaying potential by T. A. Suslina On the principal eigenvalue of the Schrodinger operator with a scaled random potential by V. V. Yurinsky.
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