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Plane-Wave Representations for Scalar Wave Fields

SIAM Review, 1973
Summary: The theory of the representation of wave fields in terms of superpositions of monochromatic plane waves is presented for fields satisfying the inhomogeneous scalar wave equation. The discussion includes expansions of the type originally used by E. T. Whittaker involving only homogeneous plane waves, and of the type introduced by H.
Devaney, A. J., Sherman, George C.
openaire   +2 more sources

Plane wave expansion of cylidrical functions

Optics Communications, 1993
Abstract Cylindrical waves, i.e. the product of a Hankel function of integer order times a sinusoidal angular factor, often occur in diffraction theory. We derive the expansion of a cylindrical wave into plane waves and we give some examples of applications.
G. CINCOTTI   +5 more
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Structure of an edge-dislocation wave originating in plane-wave diffraction by a half-plane

Journal of the Optical Society of America A, 2000
A new treatment of the well-known Sommerfeld solution of the problem of plane-wave diffraction from a perfectly conducting half-plane is reported. We show, in both theory and experiment, that the diffraction field (E-polarization) can be represented as a superposition of real physically existing waves, in contrast to geometrical and boundary waves ...
A I, Khizhnyak   +4 more
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PLANE WAVES IN DISSIPATIVE MEDIA

IEEE Transactions on Antennas and Propagation, 1965
The most general exponential wave that satisfies Maxwell's equations in an infinite homogeneous isotropic medium is derived. Linear and elliptically polarized transverse electromagnetic (TEM) waves, transverse magnetic (TM) hybrid waves, and transverse electric (TE) hybrid waves are shown to be special cases of the general wave.
openaire   +1 more source

Waves and turbulence on a beta-plane

Journal of Fluid Mechanics, 1975
Two-dimensional eddies in a homogeneous fluid at large Reynolds number, if closely packed, are known to evolve towards larger scales. In the presence of a restoring force, the geophysical beta-effect, this cascade produces a field of waves without loss of energy, and the turbulent migration of the dominant scale nearly ceases at a wavenumber kβ = (β/2U)
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Periodic Plane Waves for the Oregonator

Studies in Applied Mathematics, 1976
The Oregonator is a set of differential equations proposed by R. J. Field and R. M. Noyes as a model for the oscillating chemical reaction first studied by B. P. Belousov and A. M. Zhabotinskii. In this paper it is shown that the associated diffusion equations have periodic plane waves for parameter values not covered in earlier work.
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Refraction of Plane Shock Waves

Physical Review, 1947
It is assumed that when a plane shock wave is incident on an interface between two gases of different densities $\ensuremath{\rho}$ and ${\ensuremath{\rho}}_{1}$, and different ratios of specific heats $\ensuremath{\gamma}$ and ${\ensuremath{\gamma}}_{1}$, respectively, a three shock configuration results, involving an incident shock, a reflected shock,
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Polarization of almost-plane waves

Journal of the Optical Society of America A, 2000
The general polarization behavior of almost-plane waves, in which the electric field varies slowly over a circular pupil, is considered, on the basis of an axial Hertz potential treatment and expansion in Zernike polynomials. The resultant modes of a circular aperture are compared with the well-known waveguide (or optical fiber) modes and Gaussian beam
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N-photon amplitudes in a plane-wave background

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2021
James P Edwards, Christian Schubert
exaly  

Plane Waves

2018
Vassily M. Babich, Aleksei P. Kiselev
openaire   +1 more source

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