| Presentation | 2022-01-27 Numerical method for scattering by multiple plane gratings using shadow theory Hideaki Wakabayashi, Masamitsu Asai, Jiro Yamakita, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In the shadow theory, electromagnetic fields are expressed by using the scattering factors. We have proposed two applications of scattering factors. One is that the spectral-domain Green's functions are introduced directly using the scattering factors. The other is that the numerical accuracy is evaluated using scattering factors for a multilayered dielectric grating. In this paper, we formulate the matrix eigenvalues method using shadow theory and obtain scattering factors and Joule losses using Galerkin method. We calculate for an asymmetric multiple plane grating consisting of strip conductors and show that in the low grazing limit of incidence, the secondary fields of all orders and Joule losses in each grating approach zero. In addition, we demonstrate that the scattering factors have even symmetries for reflection and reflective symmetries for transmission. We conclude that the reciprocity holds for all complex incident angles including evanescent waves in the case of resistive plane gratings. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | multiple plane grating / low grazing limit / matrix eigenvalues method / shadow theory / scattering factor / Galerkin method / Joule loss / reciprocity |
| Paper # | PN2021-32,EMT2021-48,MWP2021-37 |
| Date of Issue | 2022-01-20 (PN, EMT, MWP) |
| Conference Information | |
| Committee | PN / MWP / EMT / IEE-EMT |
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| Conference Date | 2022/1/27(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Rakuyu-Kaikan |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Hideaki Furukawa(NICT) / Akihiko Hirata(Chiba Inst. of Tech.) / Hiroyuki Deguchi(Doshisha Univ.) |
| Vice Chair | Kohei Shiomoto(Tokyo City Univ.) / Ryuichi Sugizaki(Furukawa Electric) / Noboru Yoshikane(KDDI Research) / Atsushi Kanno(NICT) / Hideki Kawaguchi(Muroran Inst. of Tech) |
| Secretary | Kohei Shiomoto(NTT) / Ryuichi Sugizaki(Univ. of Electr-Comm.) / Noboru Yoshikane(Yazaki) / Atsushi Kanno(CRIEPI) / Hideki Kawaguchi(Miyazaki Univ.) / (Mitsubishi Electric) |
| Assistant | Kenji Ishii(Mitsubishi Electric) / Yojiro Mori(Nagoya Univ.) / Li Yi(Osaka Univ.) / Yuya Yamaguchi(NICT) / Kazuki Niino(Kyoto Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Photonic Network / Technical Committee on Microwave and Millimeter-wave Photonics / Technical Committee on Electromagnetic Theory / Technical Meeting on Electromagnetic Theory |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Numerical method for scattering by multiple plane gratings using shadow theory |
| Sub Title (in English) | |
| Keyword(1) | multiple plane grating |
| Keyword(2) | low grazing limit |
| Keyword(3) | matrix eigenvalues method |
| Keyword(4) | shadow theory |
| Keyword(5) | scattering factor |
| Keyword(6) | Galerkin method |
| Keyword(7) | Joule loss |
| Keyword(8) | reciprocity |
| 1st Author's Name | Hideaki Wakabayashi |
| 1st Author's Affiliation | Okayama Prefectual University(Okayama Pref. Univ.) |
| 2nd Author's Name | Masamitsu Asai |
| 2nd Author's Affiliation | Kindai University(Kindai Univ.) |
| 3rd Author's Name | Jiro Yamakita |
| 3rd Author's Affiliation | Okayama Prefectual University(Okayama Pref. Univ.) |
| Date | 2022-01-27 |
| Paper # | PN2021-32,EMT2021-48,MWP2021-37 |
| Volume (vol) | vol.121 |
| Number (no) | PN-350,EMT-351,MWP-352 |
| Page | pp.pp.1-6(PN), pp.1-6(EMT), pp.1-6(MWP), |
| #Pages | 6 |
| Date of Issue | 2022-01-20 (PN, EMT, MWP) |