2017Unpublished venueRequires access

Scattering by Complex Objects

Akira Ishimaru

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Abstract

This chapter starts with integral equation formulations for scalar fields for Dirichlet, Neumann, and two'media problems. It then discusses electric field integral equation (EFIE) and magnetic field integral equation (MFIE), followed by the T-matrix method. The chapter also discusses inhomogeneous dielectric media, including Green's dyadic and describes aperture diffraction problems, small apertures, and Babinets principle. Huygens' principle is used in the chapter to obtain the expressions for the field in terms of the incident wave and the contribution from the surface field. The chapter further discusses a penetrable homogeneous body, where one relates the field to the surface integral and the other relates the normal derivative of the field to the surface integral. Finally, it talks about the formulation of the scattering problem in terms of the surface integral equations for the unknown surface fields.

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What this paper is about

This chapter starts with integral equation formulations for scalar fields for Dirichlet, Neumann, and two'media problems. It then discusses electric field integral equation (EFIE) and magnetic field integral equation (MFIE), followed by the T-matrix method. The chapter also discusses inhomogeneous dielectric media, including Green's dyadic and describes aperture diffraction problems, small apertures, and Babinets principle. Huygens' principle is used in the chapter to obtain the expressions for the field in terms of the incident wave and the contribution from the surface field. The chapter further discusses a penetrable homogeneous body, where one relates the field to the surface integral and the other relates the normal derivative of the field to the surface integral. Finally, it talks about the formulation of the scattering problem in terms of the surface integral equations for the unknown surface fields.

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Available abstract

This chapter starts with integral equation formulations for scalar fields for Dirichlet, Neumann, and two'media problems. It then discusses electric field integral equation (EFIE) and magnetic field integral equation (MFIE), followed by the T-matrix method. The chapter also discusses inhomogeneous dielectric media, including Green's dyadic and describes aperture diffraction problems, small apertures, and Babinets principle. Huygens' principle is used in the chapter to obtain the expressions for the field in terms of the incident wave and the contribution from the surface field. The chapter further discusses a penetrable homogeneous body, where one relates the field to the surface integral and the other relates the normal derivative of the field to the surface integral. Finally, it talks about the formulation of the scattering problem in terms of the surface integral equations for the unknown surface fields.

Key concepts: Electric-field integral equation, Integral equation, Surface integral, Mathematics, Scattering, Surface (topology), Mathematical analysis, Summation equation

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