Oblique scattering from an inhomogeneous chiral cylindrical object with use of axial Beltrami fields and the fast multipole method

摘要

A fast multipole accelerated integral-equation-based technique for analyzing oblique scattering from two-dimensional inhomogeneous chiral objects immersed in a chiral host is presented. The analysis is performed in terms of Beltrami fields, as they provide a natural representation of fields in a chiral medium. Volume integral equations in terms of solely axial components of Beltrami fields are derived and are discretized by use of pyramidal basis functions. Our numerical results are validated against exact solutions for scattering from circular cylinders and shells. Scattering from large shells and corrugated curved gratings is presented, and the reduced computational complexity of our algorithm is demonstrated. #1997 Optical Society of America [S0740-3232(97)02410-1]