Numerical Methods for Composite Dielectric Gratings Embedded with Conducting Strips Using Scattering Factors

Wakabayashi, Hitoshi; Asai, Mitsuteru; Matsumoto, Keiji; Yamakita, Jiro

doi:10.1587/transele.e96.c.19

Cited by 4 publications

(2 citation statements)

References 10 publications

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“…Recently, the refractive index can be easily controlled by desigining periodic structures such as optoelectronic devices, photonic bandgap crystals, frequency selective devices, and other applications by the development of manufacturing technology of optical devices. Thus, the scattering and guiding problems of the inhomogeneous gratings have been of considerable interest, and many analytical and numerical methods which are applicable to the dielectric gratings having an arbitrarily periodic structures with combination of dielectric and/or metallic materials [1]- [5]. However, analysis of the dielectric grating [2]- [5] with metallic materials is only homogeneous type except [1].…”

Section: Introductionmentioning

confidence: 99%

“…Thus, the scattering and guiding problems of the inhomogeneous gratings have been of considerable interest, and many analytical and numerical methods which are applicable to the dielectric gratings having an arbitrarily periodic structures with combination of dielectric and/or metallic materials [1]- [5]. However, analysis of the dielectric grating [2]- [5] with metallic materials is only homogeneous type except [1]. Tamia et al [1] proposed the modal transmission-line theory of multilayered grating structure with inhomogeneous region, in which the metallic region is not perfectly conducting type.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Scattering of Electromagnetic Waves by Inhomogeneous Dielectric Gratings Loaded with Conducting Strips — Matrix Formulation of Point Matching Method —

Yamasaki

2019

IEICE Trans. Electron.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Scattering of Electromagnetic Waves by Inhomogeneous Dielectric Gratings Loaded with Conducting Strips — Matrix Formulation of Point Matching Method —

Yamasaki

2019

IEICE Trans. Electron.

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Numerical method of applying shadow theory to all regions of multilayered dielectric gratings in conical mounting

et al. 2016

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Nakayama's shadow theory first discussed the diffraction by a perfectly conducting grating in a planar mounting. In the theory, a new formulation by use of a scattering factor was proposed. This paper focuses on the middle regions of a multilayered dielectric grating placed in conical mounting. Applying the shadow theory to the matrix eigenvalues method, we compose new transformation and improved propagation matrices of the shadow theory for conical mounting. Using these matrices and scattering factors, being the basic quantity of diffraction amplitudes, we formulate a new description of three-dimensional scattering fields which is available even for cases where the eigenvalues are degenerate in any region. Some numerical examples are given for cases where the eigenvalues are degenerate in the middle regions.

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Numerical analysis of scattering fields by a multiple plane grating using shadow theory

Wakabayashi¹,

Asai

Yamakita³

2023

J. Opt. Soc. Am. A

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In the shadow theory, a new description of electromagnetic fields using scattering factors has been employed. This paper presents a new numerical method based on scattering factors for the scattering problem of a composite dielectric grating embedded with conducting strips. The scattering factors for the primary fields, which are based on the assumption of conducting strips being removed completely and those for the secondary fields generated by the surface electric currents on conducting strips, are introduced. The presented method is formulated to obtain scattering factors for the total fields and Joule losses for propagating wave and evanescent wave incidences from the currents determined by using the Galerkin procedure. Numerical examples are given for an asymmetric multiple plane grating consisting of conducting strips. The scattering properties and the normalized Joule losses are calculated for propagating wave and evanescent wave incidences. It is shown that the diffraction efficiencies and scattering factors hold the symmetries on the reciprocity in the case of resistive plane gratings.

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Numerical Methods for Composite Dielectric Gratings Embedded with Conducting Strips Using Scattering Factors

Cited by 4 publications

References 10 publications

Scattering of Electromagnetic Waves by Inhomogeneous Dielectric Gratings Loaded with Conducting Strips — Matrix Formulation of Point Matching Method —

Scattering of Electromagnetic Waves by Inhomogeneous Dielectric Gratings Loaded with Conducting Strips — Matrix Formulation of Point Matching Method —

Numerical method of applying shadow theory to all regions of multilayered dielectric gratings in conical mounting

Numerical analysis of scattering fields by a multiple plane grating using shadow theory

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