An analysis of wave guidance by surface-relief grating waveguides is presented for the case of oblique propagation. This analysis is based on the first-order differential equations expressing the coupling of the space harmonics and an improved differential method is applied to solve the equations in the grating region with arbitrary profile. The propagation constants are calculated for isotropic grating waveguids with sinusoidal profile and the calculated results indicate that the accurate solutions can be obtained by increasing the number of expansion terms and the number of segments. Moreover, this method is extended to the case of the analysis of obliquely propagating waves and it is shown that peculiar leaky waves and stop bands appear owing to the coupling between TE and TM waves.
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Keiji MATSUMOTO, Katsu ROKUSHIMA, Jiro YAMAKITA, "Analysis of Wave Guidance by Surface-Relief Grating Waveguides for Oblique Propagation" in IEICE TRANSACTIONS on Electronics,
vol. E76-C, no. 10, pp. 1498-1504, October 1993, doi: .
Abstract: An analysis of wave guidance by surface-relief grating waveguides is presented for the case of oblique propagation. This analysis is based on the first-order differential equations expressing the coupling of the space harmonics and an improved differential method is applied to solve the equations in the grating region with arbitrary profile. The propagation constants are calculated for isotropic grating waveguids with sinusoidal profile and the calculated results indicate that the accurate solutions can be obtained by increasing the number of expansion terms and the number of segments. Moreover, this method is extended to the case of the analysis of obliquely propagating waves and it is shown that peculiar leaky waves and stop bands appear owing to the coupling between TE and TM waves.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e76-c_10_1498/_p
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@ARTICLE{e76-c_10_1498,
author={Keiji MATSUMOTO, Katsu ROKUSHIMA, Jiro YAMAKITA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Analysis of Wave Guidance by Surface-Relief Grating Waveguides for Oblique Propagation},
year={1993},
volume={E76-C},
number={10},
pages={1498-1504},
abstract={An analysis of wave guidance by surface-relief grating waveguides is presented for the case of oblique propagation. This analysis is based on the first-order differential equations expressing the coupling of the space harmonics and an improved differential method is applied to solve the equations in the grating region with arbitrary profile. The propagation constants are calculated for isotropic grating waveguids with sinusoidal profile and the calculated results indicate that the accurate solutions can be obtained by increasing the number of expansion terms and the number of segments. Moreover, this method is extended to the case of the analysis of obliquely propagating waves and it is shown that peculiar leaky waves and stop bands appear owing to the coupling between TE and TM waves.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - Analysis of Wave Guidance by Surface-Relief Grating Waveguides for Oblique Propagation
T2 - IEICE TRANSACTIONS on Electronics
SP - 1498
EP - 1504
AU - Keiji MATSUMOTO
AU - Katsu ROKUSHIMA
AU - Jiro YAMAKITA
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E76-C
IS - 10
JA - IEICE TRANSACTIONS on Electronics
Y1 - October 1993
AB - An analysis of wave guidance by surface-relief grating waveguides is presented for the case of oblique propagation. This analysis is based on the first-order differential equations expressing the coupling of the space harmonics and an improved differential method is applied to solve the equations in the grating region with arbitrary profile. The propagation constants are calculated for isotropic grating waveguids with sinusoidal profile and the calculated results indicate that the accurate solutions can be obtained by increasing the number of expansion terms and the number of segments. Moreover, this method is extended to the case of the analysis of obliquely propagating waves and it is shown that peculiar leaky waves and stop bands appear owing to the coupling between TE and TM waves.
ER -