Variational Effective Index Mode Solver

Alyona Ivanova; Manfred Hammer; Remco Stoffer; Embrecht W.C. van Groesen

Variational Effective Index Mode Solver

Alyona Ivanova, Manfred Hammer, Remco Stoffer, Embrecht W.C. van Groesen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

54 Downloads (Pure)

Abstract

A variational approach for the modal analysis of dielectric waveguides with arbitrary piecewise constant rectangular 2D cross-section is developed. It is based on a representation of a mode profile as a superposition of all modes of the constituting slab waveguides times some unknown continuous coefficient functions, defined on the entire lateral coordinate axis. The propagation constant and the lateral functions are found from a variational principle. It appears that this method, while preserving the computational efficiency of the standard effective index method, provides more accurate estimates for propagation constants, as well as well-defined continuous approximations for mode profiles.

Original language	Undefined
Title of host publication	11th Annual Symposium IEEE/LEOS Benelux
Place of Publication	Eindhoven
Publisher	IEEE
Pages	261-264
Number of pages	4
ISBN (Print)	978-90-6144-989-8
Publication status	Published - 9 Nov 2006
Event	11th Annual Symposium IEEE/LEOS Benelux Chapter 2006 - Eindhoven, The Netherlands, Eindhoven, Netherlands Duration: 30 Nov 2006 → 1 Dec 2006 Conference number: 11

Publication series

Name
Number	supplement

Conference

Conference	11th Annual Symposium IEEE/LEOS Benelux Chapter 2006
Country/Territory	Netherlands
City	Eindhoven
Period	30/11/06 → 1/12/06

Keywords

EWI-8174
IR-57751
METIS-237620

Access to Document

Ivanova06variational

http://eprints.eemcs.utwente.nl/secure2/8174/01/ihs06.pdf

Cite this

@inproceedings{77c42c40947f4b699cbb216b938dc6ee,

title = "Variational Effective Index Mode Solver",

abstract = "A variational approach for the modal analysis of dielectric waveguides with arbitrary piecewise constant rectangular 2D cross-section is developed. It is based on a representation of a mode profile as a superposition of all modes of the constituting slab waveguides times some unknown continuous coefficient functions, defined on the entire lateral coordinate axis. The propagation constant and the lateral functions are found from a variational principle. It appears that this method, while preserving the computational efficiency of the standard effective index method, provides more accurate estimates for propagation constants, as well as well-defined continuous approximations for mode profiles.",

keywords = "EWI-8174, IR-57751, METIS-237620",

author = "Alyona Ivanova and Manfred Hammer and Remco Stoffer and {van Groesen}, {Embrecht W.C.}",

year = "2006",

month = nov,

day = "9",

language = "Undefined",

isbn = "978-90-6144-989-8",

publisher = "IEEE",

number = "supplement",

pages = "261--264",

booktitle = "11th Annual Symposium IEEE/LEOS Benelux",

address = "United States",

note = "11th Annual Symposium IEEE/LEOS Benelux Chapter 2006 ; Conference date: 30-11-2006 Through 01-12-2006",

}

TY - GEN

T1 - Variational Effective Index Mode Solver

AU - Ivanova, Alyona

AU - Hammer, Manfred

AU - Stoffer, Remco

AU - van Groesen, Embrecht W.C.

N1 - Conference code: 11

PY - 2006/11/9

Y1 - 2006/11/9

N2 - A variational approach for the modal analysis of dielectric waveguides with arbitrary piecewise constant rectangular 2D cross-section is developed. It is based on a representation of a mode profile as a superposition of all modes of the constituting slab waveguides times some unknown continuous coefficient functions, defined on the entire lateral coordinate axis. The propagation constant and the lateral functions are found from a variational principle. It appears that this method, while preserving the computational efficiency of the standard effective index method, provides more accurate estimates for propagation constants, as well as well-defined continuous approximations for mode profiles.

AB - A variational approach for the modal analysis of dielectric waveguides with arbitrary piecewise constant rectangular 2D cross-section is developed. It is based on a representation of a mode profile as a superposition of all modes of the constituting slab waveguides times some unknown continuous coefficient functions, defined on the entire lateral coordinate axis. The propagation constant and the lateral functions are found from a variational principle. It appears that this method, while preserving the computational efficiency of the standard effective index method, provides more accurate estimates for propagation constants, as well as well-defined continuous approximations for mode profiles.

KW - EWI-8174

KW - IR-57751

KW - METIS-237620

M3 - Conference contribution

SN - 978-90-6144-989-8

SP - 261

EP - 264

BT - 11th Annual Symposium IEEE/LEOS Benelux

PB - IEEE

CY - Eindhoven

T2 - 11th Annual Symposium IEEE/LEOS Benelux Chapter 2006

Y2 - 30 November 2006 through 1 December 2006

ER -