Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems
An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched laye...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Gopalakrishnan, J. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022transfer abstract |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Atomistic study of three-leg molecular devices - Mahmoud, Ahmed ELSEVIER, 2015, an international journal reporting research on wave phenomena, Amsterdam |
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| Übergeordnetes Werk: |
volume:108 ; year:2022 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.wavemoti.2021.102826 |
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ELV056123868 |
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| 520 | |a An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. | ||
| 520 | |a An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. | ||
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10.1016/j.wavemoti.2021.102826 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001603.pica (DE-627)ELV056123868 (ELSEVIER)S0165-2125(21)00124-4 DE-627 ger DE-627 rakwb eng 670 VZ 540 VZ 35.00 bkl Gopalakrishnan, J. verfasserin aut Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. Nonlinear Elsevier Eigenvalue Elsevier FEAST Elsevier Antiresonant Elsevier PML Elsevier Optical fiber Elsevier Parker, B.Q. oth VandenBerge, P. oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:108 year:2022 pages:0 https://doi.org/10.1016/j.wavemoti.2021.102826 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 108 2022 0 |
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10.1016/j.wavemoti.2021.102826 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001603.pica (DE-627)ELV056123868 (ELSEVIER)S0165-2125(21)00124-4 DE-627 ger DE-627 rakwb eng 670 VZ 540 VZ 35.00 bkl Gopalakrishnan, J. verfasserin aut Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. Nonlinear Elsevier Eigenvalue Elsevier FEAST Elsevier Antiresonant Elsevier PML Elsevier Optical fiber Elsevier Parker, B.Q. oth VandenBerge, P. oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:108 year:2022 pages:0 https://doi.org/10.1016/j.wavemoti.2021.102826 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 108 2022 0 |
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10.1016/j.wavemoti.2021.102826 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001603.pica (DE-627)ELV056123868 (ELSEVIER)S0165-2125(21)00124-4 DE-627 ger DE-627 rakwb eng 670 VZ 540 VZ 35.00 bkl Gopalakrishnan, J. verfasserin aut Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. Nonlinear Elsevier Eigenvalue Elsevier FEAST Elsevier Antiresonant Elsevier PML Elsevier Optical fiber Elsevier Parker, B.Q. oth VandenBerge, P. oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:108 year:2022 pages:0 https://doi.org/10.1016/j.wavemoti.2021.102826 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 108 2022 0 |
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10.1016/j.wavemoti.2021.102826 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001603.pica (DE-627)ELV056123868 (ELSEVIER)S0165-2125(21)00124-4 DE-627 ger DE-627 rakwb eng 670 VZ 540 VZ 35.00 bkl Gopalakrishnan, J. verfasserin aut Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. Nonlinear Elsevier Eigenvalue Elsevier FEAST Elsevier Antiresonant Elsevier PML Elsevier Optical fiber Elsevier Parker, B.Q. oth VandenBerge, P. oth Enthalten in North-Holland Publ Mahmoud, Ahmed ELSEVIER Atomistic study of three-leg molecular devices 2015 an international journal reporting research on wave phenomena Amsterdam (DE-627)ELV018330797 volume:108 year:2022 pages:0 https://doi.org/10.1016/j.wavemoti.2021.102826 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_40 GBV_ILN_2027 35.00 Chemie: Allgemeines VZ AR 108 2022 0 |
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Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems |
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Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems |
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Gopalakrishnan, J. |
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Atomistic study of three-leg molecular devices |
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Atomistic study of three-leg molecular devices |
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Gopalakrishnan, J. |
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Gopalakrishnan, J. |
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10.1016/j.wavemoti.2021.102826 |
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computing leaky modes of optical fibers using a feast algorithm for polynomial eigenproblems |
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Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems |
| abstract |
An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. |
| abstractGer |
An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. |
| abstract_unstemmed |
An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization, is presented. It is applied to the nonlinear eigenproblem that arises from a frequency-dependent perfectly matched layer. This approach is shown to result in an accurate method for computing leaky modes of optical fibers. Extensive computations on an antiresonant fiber with a complex transverse microstructure are reported. This structure is found to present substantial computational difficulties: Even when employing over one million degrees of freedom, the fiber model appears to remain in a preasymptotic regime where computed confinement loss values are likely to be off by orders of magnitude. Other difficulties in computing mode losses, together with practical techniques to overcome them, are detailed. |
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Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems |
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https://doi.org/10.1016/j.wavemoti.2021.102826 |
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Parker, B.Q. VandenBerge, P. |
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