Electromagnetic analysis of coupling and guiding phenomena in elliptical cross-section parallel waveguides with rotated symmetry planes

Stavros I. Tsakiris; Nikolaos K. Uzunoglu

doi:10.1364/JOSAA.24.000470

Journal of the Optical Society of America A
Vol. 24,
Issue 2,
pp. 470-481
(2007)
•https://doi.org/10.1364/JOSAA.24.000470

Electromagnetic analysis of coupling and guiding phenomena in elliptical cross-section parallel waveguides with rotated symmetry planes

Stavros I. Tsakiris and Nikolaos K. Uzunoglu

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Stavros I. Tsakiris and Nikolaos K. Uzunoglu, "Electromagnetic analysis of coupling and guiding phenomena in elliptical cross-section parallel waveguides with rotated symmetry planes," J. Opt. Soc. Am. A 24, 470-481 (2007)

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Related Topics
Table of Contents Category
- Fiber Optics and Optical Communications
Optics & Photonics Topics
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The topics in this list come from the Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Fiber optics (060.2310)
- Waveguides (230.7370)

About this Article
History
- Original Manuscript: February 27, 2006
- Revised Manuscript: August 4, 2006
- Manuscript Accepted: August 23, 2006

Abstract

Rigorous electromagnetic analysis methods, based on the Green’s function method along with the method of moments, are utilized to analyze coupling, guiding, and polarization phenomena in elliptic cross-section parallel waveguides. The analysis is carried out for the general case of closely spaced elliptic fibers of arbitrary orientation of the ellipses’ axes. Numerical results are presented for the cases of 0° and 45° angles between axes, as well as for the single elliptical fiber and closely spaced circular dielectric waveguides. The possibility of using this type of coupling structure in quantum signal processing applications is examined.

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Equations (50)

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$b ∕ α$	Even Fast ${HE}_{11}$ Mode	Odd Fast ${HE}_{11}$ Mode	Odd Slow ${HE}_{11}$ Mode	Even Slow ${HE}_{11}$ Mode
0.4	1.115	1.098	1.134	1.139
0.5	1.051	1.075	1.119	1.097
0.6	1.042	1.046	1.082	1.085

$b ∕ α$ , Refractive Index	Odd Fast ${HE}_{11}$ Mode	Even Fast ${HE}_{11}$ Mode	Odd Slow ${HE}_{11}$ Mode	Even Slow ${HE}_{11}$ Mode
$b ∕ α = 0.4$ , $n_{1} = 1.539$	1.105	1.110	1.134	1.139
$b ∕ α = 0.5$ , $n_{1} = 1.539$	1.063	1.066	1.111	1.107
$b ∕ α = 0.4$ , $n_{1} = 1.581$	1.107	1.114	1.142	1.146
$b ∕ α = 0.5$ , $n_{1} = 1.581$	1.059	1.067	1.113	1.118

$b ∕ α$	Even Fast ${HE}_{11}$ Mode	Odd Fast ${HE}_{11}$ Mode	Odd Slow ${HE}_{11}$ Mode	Even Slow ${HE}_{11}$ Mode
0.4	1.115	1.098	1.134	1.139
0.5	1.051	1.075	1.119	1.097
0.6	1.042	1.046	1.082	1.085

$b ∕ α$ , Refractive Index	Odd Fast ${HE}_{11}$ Mode	Even Fast ${HE}_{11}$ Mode	Odd Slow ${HE}_{11}$ Mode	Even Slow ${HE}_{11}$ Mode
$b ∕ α = 0.4$ , $n_{1} = 1.539$	1.105	1.110	1.134	1.139
$b ∕ α = 0.5$ , $n_{1} = 1.539$	1.063	1.066	1.111	1.107
$b ∕ α = 0.4$ , $n_{1} = 1.581$	1.107	1.114	1.142	1.146
$b ∕ α = 0.5$ , $n_{1} = 1.581$	1.059	1.067	1.113	1.118

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Figures (11)

Tables (2)

Equations (50)

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Journal of the Optical Society of America A

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