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- W2101544321 abstract "We consider the scattering of plane electromagnetic waves by parallel, coplanar, arbitrary cylinders distributed essentially as in a one-dimensional liquid of elastic objects. Green's function methods are used to generalize and extend results obtained previously by separations of variables for circular cylinders. Taking into account coherent multiple scattering, we obtain a general form for the coherent field and a corresponding approximation for the incoherent scattering. The field depends critically on the normalized difference between the average and minimum separations of scatterer centers; say on <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>d = (b_{av}-b_{min})/b_{av}</tex> which equals the relative elbow room per scatterer. If <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>d=0</tex> , then the distribution is periodic and the results reduce to those for the general grating; thus the range <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>d approx 0</tex> corresponds to the quasi-periodic case. Similarly, at the other limit <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>drightarrow1</tex> , the results reduce to those for the random rare gas case, and the range <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>d approx 1</tex> may be called quasi-random. Thus, as the parameter <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>d</tex> is varied from 1 to 0 (or as the distribution of scatterers is compressed), the result exhibit successively the effects expected for gaseous, liquid, and crystalline distributions." @default.
- W2101544321 created "2016-06-24" @default.
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- W2101544321 date "1959-12-01" @default.
- W2101544321 modified "2023-09-27" @default.
- W2101544321 title "Scattering by quasi-periodic and quasi-random distributions" @default.
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- W2101544321 doi "https://doi.org/10.1109/tap.1959.1144757" @default.
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