Second-Order Perturbative Analysis with Approximated Integration for Propagation Mode in Two-Dimensional Two-Slab Waveguides
Summary :
We calculated propagation constants of supermodes for two-dimensional two-slab waveguides, with small core gap, using second-order perturbation expansion from gapless slab waveguide system, and compared our results with the existing works. In the perturbation calculation, we used trapezoidal method to calculate the integral over the transverse direction in space and obtained second-order expansion of (core gap)/(core width) for propagation constants. Our result can explain the qualitative relationship between the propagation constants and the gap distance in the neighbor of (core gap)/(core width) being zero.
- Publication
- IEICE TRANSACTIONS on Electronics Vol.E97-C No.1 pp.11-16
- Publication Date
- 2014/01/01
- Publicized
- Online ISSN
- 1745-1353
- DOI
- 10.1587/transele.E97.C.11
- Type of Manuscript
- Special Section PAPER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)
- Category
- Optical Waveguide Analysis
Authors
Naofumi KITSUNEZAKI
Aoyama Gakuin University
Keyword
Latest Issue
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Naofumi KITSUNEZAKI, "Second-Order Perturbative Analysis with Approximated Integration for Propagation Mode in Two-Dimensional Two-Slab Waveguides" in IEICE TRANSACTIONS on Electronics,
vol. E97-C, no. 1, pp. 11-16, January 2014, doi: 10.1587/transele.E97.C.11.
Abstract: We calculated propagation constants of supermodes for two-dimensional two-slab waveguides, with small core gap, using second-order perturbation expansion from gapless slab waveguide system, and compared our results with the existing works. In the perturbation calculation, we used trapezoidal method to calculate the integral over the transverse direction in space and obtained second-order expansion of (core gap)/(core width) for propagation constants. Our result can explain the qualitative relationship between the propagation constants and the gap distance in the neighbor of (core gap)/(core width) being zero.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/transele.E97.C.11/_p
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@ARTICLE{e97-c_1_11,
author={Naofumi KITSUNEZAKI, },
journal={IEICE TRANSACTIONS on Electronics},
title={Second-Order Perturbative Analysis with Approximated Integration for Propagation Mode in Two-Dimensional Two-Slab Waveguides},
year={2014},
volume={E97-C},
number={1},
pages={11-16},
abstract={We calculated propagation constants of supermodes for two-dimensional two-slab waveguides, with small core gap, using second-order perturbation expansion from gapless slab waveguide system, and compared our results with the existing works. In the perturbation calculation, we used trapezoidal method to calculate the integral over the transverse direction in space and obtained second-order expansion of (core gap)/(core width) for propagation constants. Our result can explain the qualitative relationship between the propagation constants and the gap distance in the neighbor of (core gap)/(core width) being zero.},
keywords={},
doi={10.1587/transele.E97.C.11},
ISSN={1745-1353},
month={January},}
Copy
TY - JOUR
TI - Second-Order Perturbative Analysis with Approximated Integration for Propagation Mode in Two-Dimensional Two-Slab Waveguides
T2 - IEICE TRANSACTIONS on Electronics
SP - 11
EP - 16
AU - Naofumi KITSUNEZAKI
PY - 2014
DO - 10.1587/transele.E97.C.11
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E97-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 2014
AB - We calculated propagation constants of supermodes for two-dimensional two-slab waveguides, with small core gap, using second-order perturbation expansion from gapless slab waveguide system, and compared our results with the existing works. In the perturbation calculation, we used trapezoidal method to calculate the integral over the transverse direction in space and obtained second-order expansion of (core gap)/(core width) for propagation constants. Our result can explain the qualitative relationship between the propagation constants and the gap distance in the neighbor of (core gap)/(core width) being zero.
ER -
English
