spherical-multipole analysis of an arbitrarily directed complex-source beam diffracted by an acoustically soft or hard circular cone
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2015
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Abstract
An analytical approach to analyze the diffraction of an arbitrarily directed
complex-source beam (CSB) by an acoustically soft or hard semi-infinite
circular cone is presented. The beam is generated by assigning a
complex-valued location to a point source; its waist and direction are
defined by the real and imaginary parts of the source coordinate,
respectively. The corresponding scalar boundary-value problem is solved by a
spherical-multipole analysis. The solution requires the calculation of
associated Legendre functions of the first kind for complex-valued arguments
which turns out to be a non-trivial task. Beside a numerical analysis of the
corresponding algorithms we present numerical results for the total
near- and scattered far-fields.
| Reference Key |
reinhardt2015advancesspherical-multipole
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|---|---|
| Authors | ;A. Reinhardt;H. Bruens;L. Klinkenbusch;M. Katsav;E. Heyman |
| Journal | neuropsychiatrie : klinik, diagnostik, therapie und rehabilitation : organ der gesellschaft osterreichischer nervenarzte und psychiater |
| Year | 2015 |
| DOI |
10.5194/ars-13-57-2015
|
| URL | |
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