Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Andrzej A. Skorupski"'
We present an analysis of electromagnetic oscillations in a spherical conducting cavity filled concentrically with either dielectric or vacuum layers. The fields are given analytically, and the resonant frequency is determined numerically. An importa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::704f1d558e087fa9c4c22fd4fc4842a2
http://arxiv.org/abs/1103.1240
http://arxiv.org/abs/1103.1240
Autor:
Andrzej A. Skorupski
Publikováno v:
Journal of Mathematical Physics. 34:2990-3011
Propagation of an electromagnetic wave in a nonhomogeneous medium in the presence of cutoffs and resonances is examined. Approximate formulas are derived for the reflection, transmission, and absorption coefficients, given in terms of the phase‐int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7065625468a979a1d809c167f0646c33
https://doi.org/10.1063/1.530405
https://doi.org/10.1063/1.530405
Publikováno v:
SPIE Proceedings.
In this paper we treat two and three dimensional light bullets by somewhat different methods. In both cases stability is achieved for some parameters. In the first case we propose a scheme for stabilizing spatiotemporal solitons (STS) in media with c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59ba85a3423debea1423b216ba4d77d2
https://doi.org/10.1117/12.634071
https://doi.org/10.1117/12.634071
Autor:
Andrzej A. Skorupski
Publikováno v:
Journal of Mathematical Physics. 49:053523
Four generalizations of the Phase Integral Approximation (PIA) to sets of N ordinary differential equations of the Schroedinger type: u_j''(x) + Sum{k = 1 to N} R_{jk}(x) u_k(x) = 0, j = 1 to N, are described. The recurrence relations for higher orde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cace5128269900a2acbb06366a970755
https://doi.org/10.1063/1.2919888
https://doi.org/10.1063/1.2919888
Autor:
Andrzej A. Skorupski
Publikováno v:
Journal of Mathematical Physics. 29:1824-1831
The wave equation is solved with the phase‐integral approximation in the asymptotic regions, and integrated numerically elsewhere. In this application the phase‐integral approximation is relatively simple in higher orders, and its accuracy can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbfdec0a16be5a085fe887bbc8447a93
https://doi.org/10.1063/1.527884
https://doi.org/10.1063/1.527884
Autor:
Andrzej A. Skorupski
Publikováno v:
Reports on Mathematical Physics. 17:161-187
This paper treats the local behaviour of certain phase-integral approximations ( PIA ) of arbitrary order. This is done for the vicinities of zeros and poles of the coefficient Q 2 ( z ) in the wave-equation d 2 ψ/ dz 2 + Q 2 ( z )ψ = 0. This coeff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f766fc2c311700d2afe961a22d5578bb
https://doi.org/10.1016/0034-4877(80)90061-0
https://doi.org/10.1016/0034-4877(80)90061-0
Autor:
Andrzej A. Skorupski
Publikováno v:
Journal of Mathematical Physics. 29:1814-1823
Approximate solutions to the one‐dimensional time independent wave equation, called the phase‐integral approximations, are analyzed in the vicinity of characteristic points. The approximations are of arbitrary order and are generated from an unsp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d889212daab78199449df61027b7a64
https://doi.org/10.1063/1.527883
https://doi.org/10.1063/1.527883
Autor:
Andrzej A. Skorupski
Publikováno v:
Journal of Mathematical Physics. 25:2655-2661
Using the double phase‐integral approximation technique developed earlier for the wave equation d2ψ/dz2+Q2(z) ψ=0, we derive analytical formulas for the reflection (R), transmission (T), and absorption (A) coefficients. They are valid to arbitrar
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https://explore.openaire.eu/search/publication?articleId=doi_________::a8920242841b1d6bd46186b194abb2b1
https://doi.org/10.1063/1.526496
https://doi.org/10.1063/1.526496
Autor:
Andrzej A. Skorupski
Publikováno v:
Journal of Mathematical Physics. 25:2651-2654
The time‐independent wave equation, d2ψ/dz2+Q2(z)ψ=0, where Q2(z) may have arbitrary order zeros and poles on or close to the real axis, is transformed to a simpler wave equation of similar properties (model). Approximate transformations leading
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::832198efeb5e8cb86068f83b47c6157b
https://doi.org/10.1063/1.526495
https://doi.org/10.1063/1.526495
Autor:
Andrzej A. Skorupski, Eryk Infeld
Publikováno v:
Physics of Fluids. 14:1812
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::099a28116d0cc5987b324268414a98bf
https://doi.org/10.1063/1.1693684
https://doi.org/10.1063/1.1693684