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Mapped Vector Basis Functions for Electromagnetic Integral Equations [electronic resource] / by Andrew F. Peterson.

By: Peterson, Andrew F [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Synthesis Lectures on Computational Electromagnetics: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2006Edition: 1st ed. 2006.Description: VIII, 115 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783031016868.Subject(s): Engineering | Electrical engineering | Telecommunication | Technology and Engineering | Electrical and Electronic Engineering | Microwaves, RF Engineering and Optical CommunicationsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 620 Online resources: Click here to access online
Contents:
Introduction -- The Surface Model -- Divergence-Conforming Basis Functions -- Curl-Conforming Basis Functions -- Transforming Vector Basis Functions to Curved Cells -- Use of Divergence-conforming Basis Functions with the Electric Field Integral Equation -- Use of Curl-conforming Bases with the Magnetic Field Integral Equation.
In: Springer Nature eBookSummary: The method-of-moments solution of the electric field and magnetic field integral equations (EFIE and MFIE) is extended to conducting objects modeled with curved cells. These techniques are important for electromagnetic scattering, antenna, radar signature, and wireless communication applications. Vector basis functions of the divergence-conforming and curl-conforming types are explained, and specific interpolatory and hierarchical basis functions are reviewed. Procedures for mapping these basis functions from a reference domain to a curved cell, while preserving the desired continuity properties on curved cells, are discussed in detail. For illustration, results are presented for examples that employ divergence-conforming basis functions with the EFIE and curl-conforming basis functions with the MFIE. The intended audience includes electromagnetic engineers with some previous familiarity with numerical techniques.
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Introduction -- The Surface Model -- Divergence-Conforming Basis Functions -- Curl-Conforming Basis Functions -- Transforming Vector Basis Functions to Curved Cells -- Use of Divergence-conforming Basis Functions with the Electric Field Integral Equation -- Use of Curl-conforming Bases with the Magnetic Field Integral Equation.

The method-of-moments solution of the electric field and magnetic field integral equations (EFIE and MFIE) is extended to conducting objects modeled with curved cells. These techniques are important for electromagnetic scattering, antenna, radar signature, and wireless communication applications. Vector basis functions of the divergence-conforming and curl-conforming types are explained, and specific interpolatory and hierarchical basis functions are reviewed. Procedures for mapping these basis functions from a reference domain to a curved cell, while preserving the desired continuity properties on curved cells, are discussed in detail. For illustration, results are presented for examples that employ divergence-conforming basis functions with the EFIE and curl-conforming basis functions with the MFIE. The intended audience includes electromagnetic engineers with some previous familiarity with numerical techniques.

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