منابع مشابه
Some spectral properties of weighted random processes
We study the power spectrum and, more generally, the spectral covariance of weighted stationary processes. It is found that if the power spectrum of the underlying stationary process is suitably well behaved and properly matched to the weight function, then the highfrequency behavior of the power spectriom and spectral covariance is especially simple. Asymptotic theorems describing this behavio...
متن کاملSpectral Properties of Random Unitary Band Matrices
i It is a pleasure to thank Professor Stoiciu for his patience and selflessness in being my thesis advisor. Second, I would like to thank Professor Silva for being my second reader and for his helpful suggestions. Finally, I would like to thank my parents, without whom I could never have completed this thesis. One of the most important results in analysis is the Spectral Theorem, which shows th...
متن کاملTransmission matrices of random media: means for spectral polarimetric measurements.
The field transmitted through disordered media is essentially a randomly sampled version of the incident field. Properties of the initial field can be recovered if this sampling function or transmission matrix is known. Here we demonstrate how the transmission matrix of a disordered material can be used to simultaneously measure the spectral and polarimetric properties of an optical field.
متن کاملSpectral Properties of Classical Waves in High-Contrast Periodic Media
We introduce and investigate the band gap sturcture of the frequency spectrum for classical electromagnetic and acoustic waves in a high contrast two-component periodic medium. The asymptotics with respect to the high contrast is considered. The limit medium is described in terms of appropriate see-adjoint operators and the convergence to the limit is proven. These limit operators give an idea ...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1984
ISSN: 0386-2194
DOI: 10.3792/pjaa.60.343