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Plane-Wave Representations for Scalar Wave Fields
SIAM Review, 1973Summary: 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.
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Plane wave expansion of cylidrical functions
Optics Communications, 1993Abstract 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, 2000A 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, 1965The 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.
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Waves and turbulence on a beta-plane
Journal of Fluid Mechanics, 1975Two-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, 1976The 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, 1947It 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, 2000The 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, 2021James P Edwards, Christian Schubert
exaly

