Modal fields calculation using the finite difference beam propagation method

F.H.G.M. Wijnands; Frank Wijnands; Hugo Hoekstra; Gijsbertus J.M. Krijnen; R.M. de Ridder

doi:10.1109/50.350626

Modal fields calculation using the finite difference beam propagation method

F.H.G.M. Wijnands, Frank Wijnands, Hugo Hoekstra, Gijsbertus J.M. Krijnen, R.M. de Ridder

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Abstract

A method is described to construct modal fields for an arbitrary one- or two-dimensional refractive index structure. An arbitrary starting field is propagated along a complex axis using the slowly varying envelope approximation (SVEA). By choosing suitable values for the step-size, one mode is maximally increased in amplitude on propagating, until convergence has been obtained. For the calculation of the next mode, the mode just found is filtered out, and the procedure starts again. The method is tested for one-dimensional refractive index structures, both for nonabsorbing and for absorbing structures, and is shown to give fast convergence.

Original language	Undefined
Pages (from-to)	2066-2072
Number of pages	7
Journal	Journal of lightwave technology
Volume	12
Issue number	12
DOIs	https://doi.org/10.1109/50.350626
Publication status	Published - Dec 1994

Keywords

METIS-112316
IR-15437
EWI-14081

Access to Document

10.1109/50.350626

Cite this

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title = "Modal fields calculation using the finite difference beam propagation method",

abstract = "A method is described to construct modal fields for an arbitrary one- or two-dimensional refractive index structure. An arbitrary starting field is propagated along a complex axis using the slowly varying envelope approximation (SVEA). By choosing suitable values for the step-size, one mode is maximally increased in amplitude on propagating, until convergence has been obtained. For the calculation of the next mode, the mode just found is filtered out, and the procedure starts again. The method is tested for one-dimensional refractive index structures, both for nonabsorbing and for absorbing structures, and is shown to give fast convergence.",

keywords = "METIS-112316, IR-15437, EWI-14081",

author = "F.H.G.M. Wijnands and Frank Wijnands and Hugo Hoekstra and Krijnen, {Gijsbertus J.M.} and {de Ridder}, R.M.",

year = "1994",

month = dec,

doi = "10.1109/50.350626",

language = "Undefined",

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TY - JOUR

T1 - Modal fields calculation using the finite difference beam propagation method

AU - Wijnands, F.H.G.M.

AU - Wijnands, Frank

AU - Hoekstra, Hugo

AU - Krijnen, Gijsbertus J.M.

AU - de Ridder, R.M.

PY - 1994/12

Y1 - 1994/12

N2 - A method is described to construct modal fields for an arbitrary one- or two-dimensional refractive index structure. An arbitrary starting field is propagated along a complex axis using the slowly varying envelope approximation (SVEA). By choosing suitable values for the step-size, one mode is maximally increased in amplitude on propagating, until convergence has been obtained. For the calculation of the next mode, the mode just found is filtered out, and the procedure starts again. The method is tested for one-dimensional refractive index structures, both for nonabsorbing and for absorbing structures, and is shown to give fast convergence.

AB - A method is described to construct modal fields for an arbitrary one- or two-dimensional refractive index structure. An arbitrary starting field is propagated along a complex axis using the slowly varying envelope approximation (SVEA). By choosing suitable values for the step-size, one mode is maximally increased in amplitude on propagating, until convergence has been obtained. For the calculation of the next mode, the mode just found is filtered out, and the procedure starts again. The method is tested for one-dimensional refractive index structures, both for nonabsorbing and for absorbing structures, and is shown to give fast convergence.

KW - METIS-112316

KW - IR-15437

KW - EWI-14081

U2 - 10.1109/50.350626

DO - 10.1109/50.350626

M3 - Article

VL - 12

SP - 2066

EP - 2072

JO - Journal of lightwave technology

JF - Journal of lightwave technology

SN - 0733-8724

IS - 12

ER -