Time-dependent one-dimensional electromagnetic wave propagation in inhomogeneous media: exact solution in terms of transmutations and Neumann series of Bessel functions
DOI10.1134/S1995080220050054zbMath1450.78003arXiv1910.14438OpenAlexW3042503048MaRDI QIDQ2206680
Sergii M. Torba, Vladislav V. Kravchenko, Kira V. Khmelnytskaya
Publication date: 28 October 2020
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.14438
Maxwell systeminhomogeneous mediabicomplex numbersNeumann series of Bessel functionstransmutation operatorhyperbolic Vekua equation
PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Waves and radiation in optics and electromagnetic theory (78A40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)
Cites Work
- Unnamed Item
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- On Bers generating functions for first order systems of mathematical physics
- Hyperbolic calculus
- Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions
- Complete families of solutions for the Dirac equation using bicomplex function theory and transmutations
- Construction of transmutation operators and hyperbolic pseudoanalytic functions
- Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations
- Neumann series of Bessel functions
- Transmutations for Darboux transformed operators with applications
- Neumann Series of Bessel Functions
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