Elliptic Cylindrical Waves (ECW), defined as the product of an angular Mathieu function by its corresponding radial Mathieu function, occur in the solution of scattering problems involving two-dimensional structures with elliptic cross sections. In this paper, we explicitly derive the expansion of ECW, along a plane surface, in terms of homogeneous and evanescent plane waves, showing the accuracy of the numerical implementation of the formulas and discussing possible applications of the result. © 2015 Elsevier B.V. All rights reserved.

Plane-wave expansion of elliptic cylindrical functions / Santini, Carlo; Frezza, Fabrizio; Tedeschi, Nicola. - In: OPTICS COMMUNICATIONS. - ISSN 0030-4018. - STAMPA. - 349:(2015), pp. 185-192. [10.1016/j.optcom.2015.03.057]

Plane-wave expansion of elliptic cylindrical functions

SANTINI, CARLO;FREZZA, Fabrizio;TEDESCHI, NICOLA
2015

Abstract

Elliptic Cylindrical Waves (ECW), defined as the product of an angular Mathieu function by its corresponding radial Mathieu function, occur in the solution of scattering problems involving two-dimensional structures with elliptic cross sections. In this paper, we explicitly derive the expansion of ECW, along a plane surface, in terms of homogeneous and evanescent plane waves, showing the accuracy of the numerical implementation of the formulas and discussing possible applications of the result. © 2015 Elsevier B.V. All rights reserved.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/777929
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