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Tytuł:
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Wave systems with direct processes and localized losses or gains: the nonunitary Poisson kernel.
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Autorzy:
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Martínez-Argüello AM; Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Apartado Postal 48-3, 62210 Cuernavaca Mor., Mexico.
Méndez-Sánchez RA
Martínez-Mares M
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Źródło:
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Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2012 Jul; Vol. 86 (1 Pt 2), pp. 016207. Date of Electronic Publication: 2012 Jul 09.
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Typ publikacji:
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Journal Article; Research Support, Non-U.S. Gov't
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Język:
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English
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Imprint Name(s):
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Publication: : Ridge, NY : American Physical Society
Original Publication: Melville, NY : Published by the American Physical Society through the American Institute of Physics, c2001-
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MeSH Terms:
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Algorithms*
Energy Transfer*
Models, Theoretical*
Rheology/*methods
Computer Simulation
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Entry Date(s):
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Date Created: 20120926 Date Completed: 20130417 Latest Revision: 20120925
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Update Code:
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20240104
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DOI:
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10.1103/PhysRevE.86.016207
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PMID:
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23005507
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We study the scattering of waves in systems with losses or gains simulated by imaginary potentials. This is done for a complex delta potential that corresponds to a spatially localized absorption or amplification. In the Argand plane the scattering matrix moves on a circle C centered on the real axis, but not at the origin, that is tangent to the unit circle. From the numerical simulations it is concluded that the distribution of the scattering matrix, when measured from the center of the circle C, agrees with the nonunitary Poisson kernel. This result is also obtained analytically by extending the analyticity condition, of unitary scattering matrices, to the no-unitary ones. We use this nonunitary Poisson kernel to obtain the distribution of nonunitary scattering matrices when measured from the origin of the Argand plane. The obtained marginal distributions have excellent agreement with the numerical results.
