An Extension of Physical Optics Approximation for Dielectric Wedge Diffraction for a TM-Polarized Plane Wave
In this study, the edge diffraction of a TM-polarized electromagnetic plane wave by two-dimensional dielectric wedges has been analyzed. An asymptotic solution for the radiation field has been derived from equivalent electric and magnetic currents which can be determined by the geometrical optics (G...
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Veröffentlicht in: | IEICE Transactions on Electronics 2024/05/01, Vol.E107.C(5), pp.115-123 |
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description | In this study, the edge diffraction of a TM-polarized electromagnetic plane wave by two-dimensional dielectric wedges has been analyzed. An asymptotic solution for the radiation field has been derived from equivalent electric and magnetic currents which can be determined by the geometrical optics (GO) rays. This method may be regarded as an extended version of physical optics (PO). The diffracted field has been represented in terms of cotangent functions whose singularity behaviors are closely related to GO shadow boundaries. Numerical calculations are performed to compare the results with those by other reference solutions, such as the hidden rays of diffraction (HRD) and a numerical finite-difference time-domain (FDTD) simulation. Comparisons of the diffraction effect among these results have been made to propose additional lateral waves in the denser media. |
doi_str_mv | 10.1587/transele.2023ECP5027 |
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An asymptotic solution for the radiation field has been derived from equivalent electric and magnetic currents which can be determined by the geometrical optics (GO) rays. This method may be regarded as an extended version of physical optics (PO). The diffracted field has been represented in terms of cotangent functions whose singularity behaviors are closely related to GO shadow boundaries. Numerical calculations are performed to compare the results with those by other reference solutions, such as the hidden rays of diffraction (HRD) and a numerical finite-difference time-domain (FDTD) simulation. 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Electron.</addtitle><description>In this study, the edge diffraction of a TM-polarized electromagnetic plane wave by two-dimensional dielectric wedges has been analyzed. An asymptotic solution for the radiation field has been derived from equivalent electric and magnetic currents which can be determined by the geometrical optics (GO) rays. This method may be regarded as an extended version of physical optics (PO). The diffracted field has been represented in terms of cotangent functions whose singularity behaviors are closely related to GO shadow boundaries. Numerical calculations are performed to compare the results with those by other reference solutions, such as the hidden rays of diffraction (HRD) and a numerical finite-difference time-domain (FDTD) simulation. Comparisons of the diffraction effect among these results have been made to propose additional lateral waves in the denser media.</description><subject>Asymptotic methods</subject><subject>dielectric wedge</subject><subject>edge condition</subject><subject>edge diffraction</subject><subject>FDTD</subject><subject>Finite difference time domain method</subject><subject>Geometrical optics</subject><subject>hidden rays</subject><subject>Mathematical analysis</subject><subject>Physical optics</subject><subject>Plane waves</subject><subject>Singularity (mathematics)</subject><subject>Two dimensional analysis</subject><subject>uniform asymptotic solution</subject><subject>Wave diffraction</subject><issn>0916-8524</issn><issn>1745-1353</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNpNkNtOwkAQhjdGExF9Ay828bq4x3Z7SRAPCYbGYLjcbLdTKKkt7hYDPr1LEMLVTGa-fw4_QveUDKhUyWPnTOOhhgEjjI9HmSQsuUA9mggZUS75JeqRlMaRkkxcoxvvV4RQxSjvoXrY4PG2g8ZXbYPbEmfLna-sqfF03VXW4-F67dpt9WW6PVC2Dj9VYZXtXGXxHIoFhEJZOmNPgMGz9yhra-OqXyhwVpsG8Nz8wC26Kk3t4e4_9tHn83g2eo0m05e30XASWZGwLspBFSaFnAAhIiZS5WUZQ5oaJZNU2NSkiWJpLos89AQw4LlUMi5iI22hqOB99HCYG07_3oDv9KrduCas1JzEilOhWBwocaCsa713UOq1C3-6naZE733VR1_1ma9B9nGQrXxnFnASGRf8CuxJNKYk0SMtj8nZkBNsl8ZpaPgf5BSLTQ</recordid><startdate>20240501</startdate><enddate>20240501</enddate><creator>NGUYEN, Duc Minh</creator><creator>SHIRAI, Hiroshi</creator><creator>KIM, Se-Yun</creator><general>The Institute of Electronics, Information and Communication Engineers</general><general>Japan Science and Technology Agency</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20240501</creationdate><title>An Extension of Physical Optics Approximation for Dielectric Wedge Diffraction for a TM-Polarized Plane Wave</title><author>NGUYEN, Duc Minh ; SHIRAI, Hiroshi ; KIM, Se-Yun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c472t-be8da9eb0e0046058bff6e99a85794c9a97829b5db0584e2e3b5856d6a5cd8143</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Asymptotic methods</topic><topic>dielectric wedge</topic><topic>edge condition</topic><topic>edge diffraction</topic><topic>FDTD</topic><topic>Finite difference time domain method</topic><topic>Geometrical optics</topic><topic>hidden rays</topic><topic>Mathematical analysis</topic><topic>Physical optics</topic><topic>Plane waves</topic><topic>Singularity (mathematics)</topic><topic>Two dimensional analysis</topic><topic>uniform asymptotic solution</topic><topic>Wave diffraction</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>NGUYEN, Duc Minh</creatorcontrib><creatorcontrib>SHIRAI, Hiroshi</creatorcontrib><creatorcontrib>KIM, Se-Yun</creatorcontrib><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>IEICE Transactions on Electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>NGUYEN, Duc Minh</au><au>SHIRAI, Hiroshi</au><au>KIM, Se-Yun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An Extension of Physical Optics Approximation for Dielectric Wedge Diffraction for a TM-Polarized Plane Wave</atitle><jtitle>IEICE Transactions on Electronics</jtitle><addtitle>IEICE Trans. Electron.</addtitle><date>2024-05-01</date><risdate>2024</risdate><volume>E107.C</volume><issue>5</issue><spage>115</spage><epage>123</epage><pages>115-123</pages><artnum>2023ECP5027</artnum><issn>0916-8524</issn><eissn>1745-1353</eissn><abstract>In this study, the edge diffraction of a TM-polarized electromagnetic plane wave by two-dimensional dielectric wedges has been analyzed. An asymptotic solution for the radiation field has been derived from equivalent electric and magnetic currents which can be determined by the geometrical optics (GO) rays. This method may be regarded as an extended version of physical optics (PO). The diffracted field has been represented in terms of cotangent functions whose singularity behaviors are closely related to GO shadow boundaries. Numerical calculations are performed to compare the results with those by other reference solutions, such as the hidden rays of diffraction (HRD) and a numerical finite-difference time-domain (FDTD) simulation. 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subjects | Asymptotic methods dielectric wedge edge condition edge diffraction FDTD Finite difference time domain method Geometrical optics hidden rays Mathematical analysis Physical optics Plane waves Singularity (mathematics) Two dimensional analysis uniform asymptotic solution Wave diffraction |
title | An Extension of Physical Optics Approximation for Dielectric Wedge Diffraction for a TM-Polarized Plane Wave |
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