Scattering from cylinders using the two-dimensional vector plane wave spectrum
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Updated: Jun 1, 2026

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Peter Pawliuk1, Matthew Yedlin
1Department of Electrical and Computer Engineering, The University of British Columbia, 2329 West Mall, Vancouver, British Columbia, Canada V6T 1Z4. ppawliuk@interchange.ubc.ca
Abstract:
The two-dimensional vector plane wave spectrum (VPWS) is scattered from parallel circular cylinders using a boundary value solution with the T-matrix formalism. The VPWS allows us to define the incident, two-dimensional electromagnetic field with an arbitrary distribution and polarization, including both radiative and evanescent components. Using the fast Fourier transform, we can quickly compute the multiple scattering of fields that have any particular functional or numerical form. We perform numerical simulations to investigate a grating of cylinders that is capable of converting an evanescent field into a set of propagating beams. The direction of propagation of each beam is directly related to a spatial frequency component of the incident evanescent field.
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