A NOTE ON ANALYTICITY PROPERTIES OF FAR FIELD PATTERNS

作者:Griesmaier Roland*; Hyvonen Nuutti; Seiskari Otto
来源:Inverse Problems and Imaging, 2013, 7(2): 491-498.
DOI:10.3934/ipi.2013.7.491

摘要

In scattering theory the far field pattern describes the directional dependence of a time-harmonic wave scattered by an obstacle or inhomogeneous medium, when observed sufficiently far away from these objects. Considering plane wave excitations, the far field pattern can be written as a function of two variables, namely the direction of propagation of the incident plane wave and the observation direction, and it is well-known to be separately real analytic with respect to each of them. We show that the far field pattern is in fact a jointly real analytic function of these two variables.

  • 出版日期2013-5

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