An analytical study of the power distribution patterns of silica waveguides with high parabolic cylindrical deformation

Pankaj Kumar Choudhury, Roger A. Lessard

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

An attempt is made to determine the relative power distribution in a step-index parabolic cylindrical waveguide (PCW) with high deformation across the direction of propagation. The guide is assumed to be made of silica. The scalar field approximation is employed for the analysis under which a vanishing refractive-index (RI) difference in the waveguide materials is considered. Further, no approximation for fields is used in the analytical treatment. Due to the geometry of such waveguides, PCWs lose the well-defined modal discreteness, and a kind of mode bunching is observed instead, which becomes much more prominent in PCWs with high bends. However, with the increase in cross-sectional size, the mode-bunching tendency is slightly reduced. The general expressions for power in the guiding and nonguiding sections are obtained, and the fractional power patterns in all of the sections are presented for PCWs of various cross-sectional dimensions. It is observed that the confinement of power in the core section is increased for PCWs of larger cross-sectional size. Moreover, a fairly uniform distribution of power is seen over the modes having intermediate values of propagation constants.

Original languageEnglish
Pages (from-to)127-133
Number of pages7
JournalMicrowave and Optical Technology Letters
Volume32
Issue number2
DOIs
Publication statusPublished - 20 Jan 2002
Externally publishedYes

Fingerprint

distribution (property)
Silicon Dioxide
Waveguides
bunching
Silica
silicon dioxide
waveguides
Circular waveguides
Refractive index
propagation
approximation
Geometry
tendencies
refractivity
scalars
geometry
Direction compound

Keywords

  • EM wave propagation
  • Optical waveguides

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics

Cite this

@article{c38f45e37574479aaaaf658a7e4d2d71,
title = "An analytical study of the power distribution patterns of silica waveguides with high parabolic cylindrical deformation",
abstract = "An attempt is made to determine the relative power distribution in a step-index parabolic cylindrical waveguide (PCW) with high deformation across the direction of propagation. The guide is assumed to be made of silica. The scalar field approximation is employed for the analysis under which a vanishing refractive-index (RI) difference in the waveguide materials is considered. Further, no approximation for fields is used in the analytical treatment. Due to the geometry of such waveguides, PCWs lose the well-defined modal discreteness, and a kind of mode bunching is observed instead, which becomes much more prominent in PCWs with high bends. However, with the increase in cross-sectional size, the mode-bunching tendency is slightly reduced. The general expressions for power in the guiding and nonguiding sections are obtained, and the fractional power patterns in all of the sections are presented for PCWs of various cross-sectional dimensions. It is observed that the confinement of power in the core section is increased for PCWs of larger cross-sectional size. Moreover, a fairly uniform distribution of power is seen over the modes having intermediate values of propagation constants.",
keywords = "EM wave propagation, Optical waveguides",
author = "Choudhury, {Pankaj Kumar} and Lessard, {Roger A.}",
year = "2002",
month = "1",
day = "20",
doi = "10.1002/mop.10110",
language = "English",
volume = "32",
pages = "127--133",
journal = "Microwave and Optical Technology Letters",
issn = "0895-2477",
publisher = "John Wiley and Sons Inc.",
number = "2",

}

TY - JOUR

T1 - An analytical study of the power distribution patterns of silica waveguides with high parabolic cylindrical deformation

AU - Choudhury, Pankaj Kumar

AU - Lessard, Roger A.

PY - 2002/1/20

Y1 - 2002/1/20

N2 - An attempt is made to determine the relative power distribution in a step-index parabolic cylindrical waveguide (PCW) with high deformation across the direction of propagation. The guide is assumed to be made of silica. The scalar field approximation is employed for the analysis under which a vanishing refractive-index (RI) difference in the waveguide materials is considered. Further, no approximation for fields is used in the analytical treatment. Due to the geometry of such waveguides, PCWs lose the well-defined modal discreteness, and a kind of mode bunching is observed instead, which becomes much more prominent in PCWs with high bends. However, with the increase in cross-sectional size, the mode-bunching tendency is slightly reduced. The general expressions for power in the guiding and nonguiding sections are obtained, and the fractional power patterns in all of the sections are presented for PCWs of various cross-sectional dimensions. It is observed that the confinement of power in the core section is increased for PCWs of larger cross-sectional size. Moreover, a fairly uniform distribution of power is seen over the modes having intermediate values of propagation constants.

AB - An attempt is made to determine the relative power distribution in a step-index parabolic cylindrical waveguide (PCW) with high deformation across the direction of propagation. The guide is assumed to be made of silica. The scalar field approximation is employed for the analysis under which a vanishing refractive-index (RI) difference in the waveguide materials is considered. Further, no approximation for fields is used in the analytical treatment. Due to the geometry of such waveguides, PCWs lose the well-defined modal discreteness, and a kind of mode bunching is observed instead, which becomes much more prominent in PCWs with high bends. However, with the increase in cross-sectional size, the mode-bunching tendency is slightly reduced. The general expressions for power in the guiding and nonguiding sections are obtained, and the fractional power patterns in all of the sections are presented for PCWs of various cross-sectional dimensions. It is observed that the confinement of power in the core section is increased for PCWs of larger cross-sectional size. Moreover, a fairly uniform distribution of power is seen over the modes having intermediate values of propagation constants.

KW - EM wave propagation

KW - Optical waveguides

UR - http://www.scopus.com/inward/record.url?scp=0037137844&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037137844&partnerID=8YFLogxK

U2 - 10.1002/mop.10110

DO - 10.1002/mop.10110

M3 - Article

AN - SCOPUS:0037137844

VL - 32

SP - 127

EP - 133

JO - Microwave and Optical Technology Letters

JF - Microwave and Optical Technology Letters

SN - 0895-2477

IS - 2

ER -