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Power Flow Structures in Two Dimensional Electromagnetic Fields

Rizvi, A. A. and Papas, C. H. (2000) Power Flow Structures in Two Dimensional Electromagnetic Fields. Progress In Electromagnetics Research, 29 . pp. 261-294. ISSN 1070-4698. doi:10.2528/pier99092401.

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Qualitative behaviour of time average power flow in electromagnetic fields can be studied by observing the critical points of the Poynting vector field, S. In order to analyze the behaviour of the flow lines of a plane Poynting vector field in the neighbourhood of a critical point, the S field is expanded in a Taylor series. Using this expansion, critical points can be classified according to their order and degeneracy. A formula for the index of rotation of the S field at a critical point is derived. The behaviour of the transverse electric or magnetic field component in the neighbourhood of the critical point is also studied. Lowest order critical points are always nondegenerate and they have interesting properties with regards to polarization and energy distribution. Examples involving linearly polarized system of interfering plane and/or cylindrical waves are given to show the critical points. The behaviour of flow lines is illustrated in these examples.

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Additional Information:© 2000 EMW Publishing.
Record Number:CaltechAUTHORS:20190717-101829357
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Official Citation:A. A. Rizvi, and C. H. Papas, "Power Flow Structures in Two Dimensional Electromagnetic Fields," Progress In Electromagnetics Research, Vol. 29, 261-294, 2000. doi:10.2528/PIER99092401
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97187
Deposited By: Tony Diaz
Deposited On:17 Jul 2019 17:23
Last Modified:16 Nov 2021 17:27

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