The Experts below are selected from a list of 297 Experts worldwide ranked by ideXlab platform
Michael Fleischhauer - One of the best experts on this subject based on the ideXlab platform.
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revivals made simple Poisson Summation Formula as a key to the revivals in the jaynes cummings model
Physical Review A, 1993Co-Authors: Michael Fleischhauer, W P SchleichAbstract:We investigate the phenomenon of quantum revivals in the Jaynes-Cummings model for an arbitrary quantized field mode. With the help of the Poisson Summation Formula, we cast the infinite sum determining the atomic inversion into an infinite sum of integrals. Each integral, when evaluated using the method of stationary phase, yields under appropriate conditions one revival. We present simple approximate analytical expressions for these revivals and illustrate this general technique by the examples of a coherent and a highly squeezed state. The oscillatory photon distribution of the latter creates slightly different Rabi frequencies which give rise to a beat note; that is, echos in the revivals. We obtain the photon statistics of the quantized field by ``measuring'' the atomic collapse of a single revival\char21{}a technique which might be applicable in the realm of the one-atom maser.
R. Mittra - One of the best experts on this subject based on the ideXlab platform.
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Scattering from structured slabs having two-dimensional periodicity
IEEE Transactions on Antennas and Propagation, 1991Co-Authors: R.e. Jorgenson, R. MittraAbstract:The problem of a plane wave incident on a structured slab is examined. To analyze the problem, an electric field integral equation (EFIE) is derived that has as its unknown the equivalent surface currents on the plates in the unit cell. The integral equation is discretized and solved approximately using the method of moments with subdomain basis and testing functions. The periodic Green's function is efficiently calculated using the Poisson Summation Formula. The interaction of the structure with the surrounding environment is described in terms of a generalized scattering matrix. Results are presented showing the reflection coefficient as a function of frequency for arrays of zigzagging strips and honeycomb slabs.
Gusein Sh. Guseinov - One of the best experts on this subject based on the ideXlab platform.
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An application of spectral theory of the Laplace operator
Complex Variables and Elliptic Equations, 2013Co-Authors: Gusein Sh. GuseinovAbstract:We describe the structure of arbitrary rapidly decreasing functions of the Laplace operator. Combining this with the spectral data of the periodic Laplace operator we develop a generalization of the classical Poisson Summation Formula.
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Spectral method for derivingmultivariate Poisson Summation Formulae
Communications on Pure and Applied Analysis, 2012Co-Authors: Gusein Sh. GuseinovAbstract:We show that using spectral theory of a finite family of pairwise commuting Laplace operators and the spectral properties of the periodic Laplace operator some analogues of the classical multivariate Poisson Summation Formula can be derived.
W P Schleich - One of the best experts on this subject based on the ideXlab platform.
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revivals made simple Poisson Summation Formula as a key to the revivals in the jaynes cummings model
Physical Review A, 1993Co-Authors: Michael Fleischhauer, W P SchleichAbstract:We investigate the phenomenon of quantum revivals in the Jaynes-Cummings model for an arbitrary quantized field mode. With the help of the Poisson Summation Formula, we cast the infinite sum determining the atomic inversion into an infinite sum of integrals. Each integral, when evaluated using the method of stationary phase, yields under appropriate conditions one revival. We present simple approximate analytical expressions for these revivals and illustrate this general technique by the examples of a coherent and a highly squeezed state. The oscillatory photon distribution of the latter creates slightly different Rabi frequencies which give rise to a beat note; that is, echos in the revivals. We obtain the photon statistics of the quantized field by ``measuring'' the atomic collapse of a single revival\char21{}a technique which might be applicable in the realm of the one-atom maser.
R.e. Jorgenson - One of the best experts on this subject based on the ideXlab platform.
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Scattering from structured slabs having two-dimensional periodicity
IEEE Transactions on Antennas and Propagation, 1991Co-Authors: R.e. Jorgenson, R. MittraAbstract:The problem of a plane wave incident on a structured slab is examined. To analyze the problem, an electric field integral equation (EFIE) is derived that has as its unknown the equivalent surface currents on the plates in the unit cell. The integral equation is discretized and solved approximately using the method of moments with subdomain basis and testing functions. The periodic Green's function is efficiently calculated using the Poisson Summation Formula. The interaction of the structure with the surrounding environment is described in terms of a generalized scattering matrix. Results are presented showing the reflection coefficient as a function of frequency for arrays of zigzagging strips and honeycomb slabs.