Nystrom-type technique for numerical analysis of lasing spectra and thresholds in arbitrary-shaped active 2-D microcavities

The lasing modes in the arbitrarily shaped microcavity are considered as solutions to the 2-D linear eigenproblem for the Maxwell equations with exact boundary and radiation conditions. The gain is introduced into the cavity material within the active region via the ldquoactiverdquo imaginary part o...

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Vydané v:2008 4th International Conference on Advanced Optoelectronics and Lasers s. 363 - 365
Hlavní autori: Smotrova, E.I., Sewell, P., Benson, T., Ctyroky, J., Nosich, A.I.
Médium: Konferenčný príspevok..
Jazyk:English
Vydavateľské údaje: IEEE 01.09.2008
Predmet:
Eigenvalues and eigenfunctions
Electromagnetic radiation
Frequency
Integral equations
Laser modes
Maxwell equations
Microcavities
microcavity laser
Muller's integral equation
Numerical analysis
Nystrom discretization
Refractive index
Switches
threshold gain
ISBN:9781424419739, 1424419735
ISSN:2160-1518
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Abstract The lasing modes in the arbitrarily shaped microcavity are considered as solutions to the 2-D linear eigenproblem for the Maxwell equations with exact boundary and radiation conditions. The gain is introduced into the cavity material within the active region via the ldquoactiverdquo imaginary part of the refractive index, and the modal frequencies and threshold values of gain are sought as the eigenvalues. This problem can be reduced to the set of two coupled boundary integral equations with smooth or integrable kernels. Discrete form of these equations is built using the exponentially convergent Nystrom-type algorithm. Then the search for the eigenvalues reduces to the calculation of the roots of determinantal equation that can be obtained with guaranteed accuracy.
AbstractList The lasing modes in the arbitrarily shaped microcavity are considered as solutions to the 2-D linear eigenproblem for the Maxwell equations with exact boundary and radiation conditions. The gain is introduced into the cavity material within the active region via the ldquoactiverdquo imaginary part of the refractive index, and the modal frequencies and threshold values of gain are sought as the eigenvalues. This problem can be reduced to the set of two coupled boundary integral equations with smooth or integrable kernels. Discrete form of these equations is built using the exponentially convergent Nystrom-type algorithm. Then the search for the eigenvalues reduces to the calculation of the roots of determinantal equation that can be obtained with guaranteed accuracy.
Author Smotrova, E.I.
Sewell, P.
Ctyroky, J.
Benson, T.
Nosich, A.I.
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  surname: Smotrova
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  organization: Inst. of Radio-Phys. & Electron. NASU, Kharkov
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  givenname: P.
  surname: Sewell
  fullname: Sewell, P.
  organization: George Green Inst. for Electromagn. Res., Univ. of Nottingham, Nottingham
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  givenname: T.
  surname: Benson
  fullname: Benson, T.
  organization: George Green Inst. for Electromagn. Res., Univ. of Nottingham, Nottingham
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  givenname: J.
  surname: Ctyroky
  fullname: Ctyroky, J.
  organization: Inst. of Photonics & Electron. ASCR v.v.i., Prague
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  givenname: A.I.
  surname: Nosich
  fullname: Nosich, A.I.
  organization: Inst. of Radio-Phys. & Electron. NASU, Kharkov
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Snippet The lasing modes in the arbitrarily shaped microcavity are considered as solutions to the 2-D linear eigenproblem for the Maxwell equations with exact boundary...
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StartPage 363
SubjectTerms Eigenvalues and eigenfunctions
Electromagnetic radiation
Frequency
Integral equations
Laser modes
Maxwell equations
Microcavities
microcavity laser
Muller's integral equation
Numerical analysis
Nystrom discretization
Refractive index
Switches
threshold gain
Title Nystrom-type technique for numerical analysis of lasing spectra and thresholds in arbitrary-shaped active 2-D microcavities
URI https://ieeexplore.ieee.org/document/4671975
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