Twisted Plane Wave Expansions Using Hypercomplex Methods
نویسندگان
چکیده
منابع مشابه
Plane-wave Expansions of the Optical Field*
In the theories of electrodynamics, acoustics, and optics, fields that satisfy the homogeneous wave equation are often represented by integral expansions of monochromatic plane waves, all propagating with the same speed [ 1,2] . Two different plane-wave expansions are in use. One expansion, due to Whittaker [3] , expresses the field as a superposition of monochromatic, homogeneous plane waves; ...
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Standard low order Lagrangian finite element discretization of boundary value problems for the Helmholtz equation −∆u−ωu = f are afflicted with the so-called pollution phenomenon: though for sufficiently small hω an accurate approximation of u is possible, the Galerkin procedure fails to provide it. Attempts to remedy this have focused on incorporating extra information in the form of plane wav...
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Focused electromagnetic beams are frequently modeled by either an angular spectrum of plane waves or a partial-wave sum of spherical multipole waves. The connection between these two beam models is explored here. The partial-wave expansion of an angular spectrum containing evanescent components is found to possess only odd partial waves. On the other hand, the partial-wave expansion of an alter...
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James J. Shepherd,1,* Andreas Grüneis,1 George H. Booth,1 Georg Kresse,2 and Ali Alavi1,† 1University of Cambridge, Chemistry Department, Lensfield Road, Cambridge CB2 1EW, United Kingdom 2University of Vienna, Faculty of Physics and Center for Computational Materials Science, Sensengasse 8/12, A-1090 Vienna, Austria (Received 23 February 2012; revised manuscript received 10 May 2012; published...
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An approximation technique is considered for computing transmission and reflection coefficients for propagation of an elastic pulse through a planar slab of finite width. The propagation of elastic pulse through a planar slab is derived from first principles using straightforward time-dependent method. The paper ends with calculations of enhancement factor for the elastic plane wave and it is s...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 2014
ISSN: 0034-5318
DOI: 10.4171/prims/123