Maximum Transmission Coefficient Through a Smoothly Inhomogeneous Medium

We consider the problem of energy transmission from one aperture to another by the wave fields in smoothly inhomogeneous media. The study is performed in the quasioptical and scalar approximations when the aperture sizes significantly exceed the wavelength and there exists a ray connecting the apert...

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Bibliographic Details
Published in:Radiophysics and quantum electronics 2019-06, Vol.61 (12), p.908-914
Main Authors: Vlasov, S. N., Koposova, E. V.
Format: Article
Language:English
Subjects:
Apertures
Astronomy
Astrophysics and Astroparticles
Beams (radiation)
Coefficients
Energy transmission
Hadrons
Heavy Ions
Inhomogeneous media
Lasers
Mathematical and Computational Physics
Nuclear Physics
Observations and Techniques
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Quantum Optics
Theoretical
Wave propagation
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Summary:We consider the problem of energy transmission from one aperture to another by the wave fields in smoothly inhomogeneous media. The study is performed in the quasioptical and scalar approximations when the aperture sizes significantly exceed the wavelength and there exists a ray connecting the aperture centers. The transmission coefficient is determined using the well-known parabolic equation, which describes the wave-beam propagation in smoothly inhomogeneous media. As in the homogeneous media, the maximum transmission coefficient is shown to be reached when the field structures at the aperture are specified in the form of special functions, namely, the prolate spheroidal angular functions. The maximum achievable transmission coefficient is determined.
ISSN:0033-8443
1573-9120
DOI:10.1007/s11141-019-09946-1