3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants
A full-vectorial 3-D numerical method applicable to high-index contrast optical waveguide discontinuities is presented. Rigorous treatment of the longitudinal boundary condition is incorporated in the formulation. The square root of the characteristic matrix is approximated using Padeacute approxima...
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| الوصول للمادة أونلاين: | https://eprints.kfupm.edu.sa/id/eprint/14199/1/14199_1.pdf https://eprints.kfupm.edu.sa/id/eprint/14199/2/14199_2.doc |
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| _version_ | 1864513393403101184 |
|---|---|
| author | Jamid, H.A. |
| author2 | Khan, Md.Z.M. unknown |
| author2_role | author author |
| author_facet | Jamid, H.A. Khan, Md.Z.M. unknown |
| author_role | author |
| dc.creator.none.fl_str_mv | Jamid, H.A. Khan, Md.Z.M. unknown |
| dc.date.none.fl_str_mv | 0000-04 2020 |
| dc.format.none.fl_str_mv | application/pdf application/msword |
| dc.identifier.none.fl_str_mv | https://eprints.kfupm.edu.sa/id/eprint/14199/1/14199_1.pdf https://eprints.kfupm.edu.sa/id/eprint/14199/2/14199_2.doc (0000) 3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants. Quantum Electronics, IEEE Journal of, 43. |
| dc.language.none.fl_str_mv | en en |
| dc.publisher.none.fl_str_mv | IEEE |
| dc.relation.none.fl_str_mv | https://eprints.kfupm.edu.sa/id/eprint/14199/ |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Computer |
| dc.title.none.fl_str_mv | 3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants |
| dc.type.none.fl_str_mv | Article PeerReviewed info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | A full-vectorial 3-D numerical method applicable to high-index contrast optical waveguide discontinuities is presented. Rigorous treatment of the longitudinal boundary condition is incorporated in the formulation. The square root of the characteristic matrix is approximated using Padeacute approximants which results in an efficient implementation. The biconjugate gradient stabilized method is utilized to iteratively calculate the reflected and transmitted fields. A preconditioner is proposed which results in reduced number of iterations. The proposed method is applied to various optical waveguide facets exhibiting strong transverse and longitudinal refractive index discontinuities. In all cases, the modal reflectivities of the fundamental TE-Like and TM-Like modes are calculated for both the full-vectorial and the semi-vectorial formulations. Significant difference in the calculated modal reflectivity is seen between the full and semi-vectorial models. The error in the power balance remains low in the full-vectorial case irrespective of the waveguide dimensions. However, in the semi-vectorial case, the error in the power balance is found to increase when the waveguide width is reduced |
| eu_rights_str_mv | openAccess |
| format | article |
| id | KFUPM_95a33949c14f52a1cb73be24e51b9f5a |
| identifier_str_mv | (0000) 3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants. Quantum Electronics, IEEE Journal of, 43. |
| language_invalid_str_mv | en |
| network_acronym_str | KFUPM |
| network_name_str | King Fahd University of Petroleum and Minerals |
| oai_identifier_str | oai::14199 |
| publishDate | 0000 |
| publisher.none.fl_str_mv | IEEE |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | 3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade ApproximantsJamid, H.A.Khan, Md.Z.M.unknownComputerA full-vectorial 3-D numerical method applicable to high-index contrast optical waveguide discontinuities is presented. Rigorous treatment of the longitudinal boundary condition is incorporated in the formulation. The square root of the characteristic matrix is approximated using Padeacute approximants which results in an efficient implementation. The biconjugate gradient stabilized method is utilized to iteratively calculate the reflected and transmitted fields. A preconditioner is proposed which results in reduced number of iterations. The proposed method is applied to various optical waveguide facets exhibiting strong transverse and longitudinal refractive index discontinuities. In all cases, the modal reflectivities of the fundamental TE-Like and TM-Like modes are calculated for both the full-vectorial and the semi-vectorial formulations. Significant difference in the calculated modal reflectivity is seen between the full and semi-vectorial models. The error in the power balance remains low in the full-vectorial case irrespective of the waveguide dimensions. However, in the semi-vectorial case, the error in the power balance is found to increase when the waveguide width is reducedIEEE0000-042020ArticlePeerReviewedinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfapplication/mswordhttps://eprints.kfupm.edu.sa/id/eprint/14199/1/14199_1.pdfhttps://eprints.kfupm.edu.sa/id/eprint/14199/2/14199_2.doc (0000) 3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants. Quantum Electronics, IEEE Journal of, 43. enenhttps://eprints.kfupm.edu.sa/id/eprint/14199/info:eu-repo/semantics/openAccessoai::141992019-11-01T14:04:41Z |
| spellingShingle | 3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants Jamid, H.A. Computer |
| status_str | publishedVersion |
| title | 3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants |
| title_full | 3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants |
| title_fullStr | 3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants |
| title_full_unstemmed | 3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants |
| title_short | 3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants |
| title_sort | 3-D Full-Vectorial Analysis of Strong Optical Waveguide Discontinuities Using Pade Approximants |
| topic | Computer |
| url | https://eprints.kfupm.edu.sa/id/eprint/14199/1/14199_1.pdf https://eprints.kfupm.edu.sa/id/eprint/14199/2/14199_2.doc |