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Efficient field computation using Gaussian beams for<br/><br/>both transmission and reception

Wednesday, August 4, 2010 - 3:30pm - 4:00pm
Keller 3-180
Thorkild Hansen (Seknion Inc.)
An exact representation is presented for the field inside a sphere
(the observation sphere) due to primary sources enclosed by a second sphere
(the source sphere). The regions bounded by the two spheres have no common
points. The field of the primary sources is expressed in terms of Gaussian
beams whose branch-cut disks are centered in the source sphere. The
expansion coefficients for the standing spherical waves in the observation
sphere are expressed in terms of the output of Gaussian-beam receivers,
whose branch-cut disks are centered in the observation sphere. In this
configuration the patterns of the transmitting and receiving beams
multiply to produce a higher directivity than is usually seen with
Gaussian beams. This leads to a fast method for computing matrix-vector
multiplications in scattering calculations, as will be illustrated for a
Dirichlet square plate.
MSC Code: 
28C20
Keywords: