Two-Mode Waveguide Characterization by Intensity Measurements from Exit Face Images

A method that characterizes two-mode waveguides whose modes cannot be selectively excited (such as buried waveguides) is presented and demonstrated. The theoretical results are presented for <formula formulatype="inline"> <tex Notation="TeX">$N$</tex></formul...

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Main Authors: Xes&#x00FA;s Prieto-Blanco, Jes&#x00FA;s Linares
Format: Article
Language:English
Published: IEEE 2012-01-01
Series:IEEE Photonics Journal
Subjects:
Online Access:https://ieeexplore.ieee.org/document/6095574/
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author Xes&#x00FA;s Prieto-Blanco
Jes&#x00FA;s Linares
author_facet Xes&#x00FA;s Prieto-Blanco
Jes&#x00FA;s Linares
author_sort Xes&#x00FA;s Prieto-Blanco
collection DOAJ
description A method that characterizes two-mode waveguides whose modes cannot be selectively excited (such as buried waveguides) is presented and demonstrated. The theoretical results are presented for <formula formulatype="inline"> <tex Notation="TeX">$N$</tex></formula> modes, although for the sake of simplicity, only the two-mode case is developed. The values of the optical mode fields are recovered from several images of the waveguide exit face, where both modes interfere with different relative intensity in each image. From these mode fields, both the squared index distribution, except in an additive constant, and the effective index difference can be obtained by inverting the Helmholtz equation. As in the case of the standard monomode intensity method, the relative values of effective indices and index distributions become absolute if the modes are retrieved in a point of known index, for instance, in the substrate. The method can also be applied to multimode guides if only two modes are excited. In fact, an inexpensive setup is proposed to excite the first two modes of a multimode buried waveguide. This waveguide was fabricated by ion exchange in glass and buried by electromigration. The shape of the squared refractive index recovered by the proposed method agrees with that reported in the literature.
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spelling doaj.art-120c769bba164179b1d23d0cf68987312022-12-21T18:43:16ZengIEEEIEEE Photonics Journal1943-06552012-01-0141657910.1109/JPHOT.2011.21775166095574Two-Mode Waveguide Characterization by Intensity Measurements from Exit Face ImagesXes&#x00FA;s Prieto-Blanco0Jes&#x00FA;s Linares1Departamento de F&#x00ED;sica Aplicada, &#x00C1;rea de &#x00D3;ptica, Escola Universitaria de &#x00D3;ptica e Optometr&#x00ED;a, Campus Vida, Universidade de Santiago de Compostela, Galicia, SpainDepartamento de F&#x00ED;sica Aplicada, &#x00C1;rea de &#x00D3;ptica, Escola Universitaria de &#x00D3;ptica e Optometr&#x00ED;a, Campus Vida, Universidade de Santiago de Compostela, Galicia, SpainA method that characterizes two-mode waveguides whose modes cannot be selectively excited (such as buried waveguides) is presented and demonstrated. The theoretical results are presented for <formula formulatype="inline"> <tex Notation="TeX">$N$</tex></formula> modes, although for the sake of simplicity, only the two-mode case is developed. The values of the optical mode fields are recovered from several images of the waveguide exit face, where both modes interfere with different relative intensity in each image. From these mode fields, both the squared index distribution, except in an additive constant, and the effective index difference can be obtained by inverting the Helmholtz equation. As in the case of the standard monomode intensity method, the relative values of effective indices and index distributions become absolute if the modes are retrieved in a point of known index, for instance, in the substrate. The method can also be applied to multimode guides if only two modes are excited. In fact, an inexpensive setup is proposed to excite the first two modes of a multimode buried waveguide. This waveguide was fabricated by ion exchange in glass and buried by electromigration. The shape of the squared refractive index recovered by the proposed method agrees with that reported in the literature.https://ieeexplore.ieee.org/document/6095574/Visible laserswaveguide deviceswaveguide characterization
spellingShingle Xes&#x00FA;s Prieto-Blanco
Jes&#x00FA;s Linares
Two-Mode Waveguide Characterization by Intensity Measurements from Exit Face Images
IEEE Photonics Journal
Visible lasers
waveguide devices
waveguide characterization
title Two-Mode Waveguide Characterization by Intensity Measurements from Exit Face Images
title_full Two-Mode Waveguide Characterization by Intensity Measurements from Exit Face Images
title_fullStr Two-Mode Waveguide Characterization by Intensity Measurements from Exit Face Images
title_full_unstemmed Two-Mode Waveguide Characterization by Intensity Measurements from Exit Face Images
title_short Two-Mode Waveguide Characterization by Intensity Measurements from Exit Face Images
title_sort two mode waveguide characterization by intensity measurements from exit face images
topic Visible lasers
waveguide devices
waveguide characterization
url https://ieeexplore.ieee.org/document/6095574/
work_keys_str_mv AT xesx00fasprietoblanco twomodewaveguidecharacterizationbyintensitymeasurementsfromexitfaceimages
AT jesx00faslinares twomodewaveguidecharacterizationbyintensitymeasurementsfromexitfaceimages