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Static Bloch sums for the square array (2002)

McPhedran, R. C. ; Nicorovici, N. A.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 2802-2813

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: We consider sums arising in doubly quasiperiodic Green's functions for the Laplace equation, over the square array. The sums are represented as Fourier series, and it is shown that the coefficients in the series can be obtained as polynomials. We give expressions from which the first six array sums can be evaluated efficiently, and accurate to better than one part in 107, over most of the Brillouin zone. © 2002 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.1467968

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