Surface distribution and field dependency upon the radius of curvature at smoothed corners of a scatterer

Paul Smith; Audrey Markowskei

doi:10.1109/ICEAA.2018.8520492

Surface distribution and field dependency upon the radius of curvature at smoothed corners of a scatterer

Paul Smith, Audrey Markowskei

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

Abstract

Previous numerical studies [1], [6] have demonstrated that, under E-polarized illumination, the maximum difference in the farfield patterns of an infinite cylindrical structure scatterer with a right-angle corner, and its rounded counterpart, is proportional to (kρ)^4/3, where ρ denotes the radius of curvature in the vicinity of the rounded corner point, as kρ → 0. A theoretical basis for these numerical results is derived by solving an approximate integral equation for the difference in the surface currents on a test structure, the lemniscate, and its rounded counterpart.

Original language	English
Title of host publication	Proceedings of the 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA)
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	311-314
Number of pages	4
ISBN (Electronic)	9781538667620, 9781538667613
ISBN (Print)	9781538667637
DOIs	https://doi.org/10.1109/ICEAA.2018.8520492
Publication status	Published - 2018
Event	20th International Conference on Electromagnetics in Advanced Applications, ICEAA 2018 - Cartagena de Indias, Colombia Duration: 10 Sept 2018 → 14 Sept 2018

Conference

Conference	20th International Conference on Electromagnetics in Advanced Applications, ICEAA 2018
Country/Territory	Colombia
City	Cartagena de Indias
Period	10/09/18 → 14/09/18

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10.1109/ICEAA.2018.8520492

Cite this

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title = "Surface distribution and field dependency upon the radius of curvature at smoothed corners of a scatterer",

abstract = "Previous numerical studies [1], [6] have demonstrated that, under E-polarized illumination, the maximum difference in the farfield patterns of an infinite cylindrical structure scatterer with a right-angle corner, and its rounded counterpart, is proportional to (kρ)4/3, where ρ denotes the radius of curvature in the vicinity of the rounded corner point, as kρ → 0. A theoretical basis for these numerical results is derived by solving an approximate integral equation for the difference in the surface currents on a test structure, the lemniscate, and its rounded counterpart.",

author = "Paul Smith and Audrey Markowskei",

year = "2018",

doi = "10.1109/ICEAA.2018.8520492",

language = "English",

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pages = "311--314",

booktitle = "Proceedings of the 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA)",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

note = "20th International Conference on Electromagnetics in Advanced Applications, ICEAA 2018 ; Conference date: 10-09-2018 Through 14-09-2018",

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Smith, P & Markowskei, A 2018, Surface distribution and field dependency upon the radius of curvature at smoothed corners of a scatterer. in Proceedings of the 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA). Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 311-314, 20th International Conference on Electromagnetics in Advanced Applications, ICEAA 2018, Cartagena de Indias, Colombia, 10/09/18. https://doi.org/10.1109/ICEAA.2018.8520492

Surface distribution and field dependency upon the radius of curvature at smoothed corners of a scatterer. / Smith, Paul; Markowskei, Audrey.
Proceedings of the 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA). Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2018. p. 311-314.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

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PY - 2018

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N2 - Previous numerical studies [1], [6] have demonstrated that, under E-polarized illumination, the maximum difference in the farfield patterns of an infinite cylindrical structure scatterer with a right-angle corner, and its rounded counterpart, is proportional to (kρ)4/3, where ρ denotes the radius of curvature in the vicinity of the rounded corner point, as kρ → 0. A theoretical basis for these numerical results is derived by solving an approximate integral equation for the difference in the surface currents on a test structure, the lemniscate, and its rounded counterpart.

AB - Previous numerical studies [1], [6] have demonstrated that, under E-polarized illumination, the maximum difference in the farfield patterns of an infinite cylindrical structure scatterer with a right-angle corner, and its rounded counterpart, is proportional to (kρ)4/3, where ρ denotes the radius of curvature in the vicinity of the rounded corner point, as kρ → 0. A theoretical basis for these numerical results is derived by solving an approximate integral equation for the difference in the surface currents on a test structure, the lemniscate, and its rounded counterpart.

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ER -

Surface distribution and field dependency upon the radius of curvature at smoothed corners of a scatterer

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