Finite element simulation of microphotonic lasing system

doi:10.1364/OE.20.011548

Finite element simulation of microphotonic lasing system

Chris Fietz and Costas M. Soukoulis »View Author Affiliations

Optics Express, Vol. 20, Issue 10, pp. 11548-11560 (2012)
http://dx.doi.org/10.1364/OE.20.011548

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Abstract
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References (19)
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Abstract

We present a method for performing time domain simulations of a microphotonic system containing a four level gain medium based on the finite element method. This method includes an approximation that involves expanding the pump and probe electromagnetic fields around their respective carrier frequencies, providing a dramatic speedup of the time evolution. Finally, we present a two dimensional example of this model, simulating a cylindrical spaser array consisting of a four level gain medium inside of a metal shell.

OCIS Codes
(140.3460) Lasers and laser optics : Lasers
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(160.3918) Materials : Metamaterials

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: April 9, 2012
Revised Manuscript: April 27, 2012
Manuscript Accepted: April 30, 2012
Published: May 4, 2012

Citation
Chris Fietz and Costas M. Soukoulis, "Finite element simulation of microphotonic lasing system," Opt. Express 20, 11548-11560 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-10-11548

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References

K. Böhringer and O. Hess, “A full time-domain approach to spatio-temporal dynamics of semiconductor lasers. II. spatio-temporal dynamics,” Prog. Quantum Electron.32, 247–307 (2008). [CrossRef]
A. Fang, T. Koschny, M. Wegener, and C. M. Soukoulis, “Self-consistent calculation of metamaterials with gain,” Phys. Rev. B79, 241104 (2009). [CrossRef]
A. Fang, “Reducing the losses of optical metamaterials,” Ph.D. thesis, Iowa State University (2010).
A. Fang, T. Koschny, and C. M. Soukoulis, “Lasing in metamaterial nanostructures,” J. Opt.12, 024013 (2010). [CrossRef]
A. Fang, T. Koschny, and C. M. Soukoulis, “Self-consistent calculations of loss-compensated fishnet metamaterials,” Phys. Rev. B82, 121102 (2010). [CrossRef]
S. Wuestner, A. Pusch, K. L. Tsakmakidis, J. M. Hamm, and O. Hess, “Overcoming losses with gain in a negative refractive index metamaterial,” Phys. Rev. Lett.105, 127401 (2010). [CrossRef] [PubMed]
A. Fang, Z. Huang, T. Koschny, and C. M. Soukoulis, “Overcoming the losses of a split ring resonator array with gain,” Opt. Express19, 12688–12699 (2011). [CrossRef] [PubMed]
S. Wuestner, A. Pusch, K. L. Tsakmakidis, J. M. Hamm, and O. Hess, “Gain and plasmon dynamics in active negative-index metamaterials,” Phil. Trans. R. Soc. London Ser. A369, 3525–3550 (2011). [CrossRef]
J. M. Hamm, S. Wuestner, K. L. Tsakmakidis, and T. Hess, “Theory of light amplification in active fishnet metamaterials,” Phys. Rev. Lett.107, 167405 (2011). [CrossRef] [PubMed]
J. A. Gordon and R. W. Ziolkowski, “The design and simulated performance of a coated nano-particle laser,” Opt. Express15, 2622–2653 (2007). [CrossRef] [PubMed]
J. A. Gordon and R. W. Ziolkowski, “CNP optical metamaterials,” Opt. Express16, 6692–6716 (2008). [CrossRef] [PubMed]
A. E. Siegman, Lasers (University Science Books, 1986). See chapters 2, 3, and 6.
X. Jiang and C. M. Soukoulis, “Time dependent theory for random lasers,” Phys. Rev. Lett.85, 70–73 (2000). [CrossRef] [PubMed]
W. B. J. Zimmerman, Process Modelling and Simulation with Finite Element Methods (World Scientific, 2004).
J. Jin, The Finite Element Method in Electromagnetics, 2nd ed. (John Wiley & Sons, Inc., 2002).
D. J. Bergman and M. I. Stockman, “Surface plasmon amplification by stimulated emission of radiation: quantum generation of coherent surface plasmons in nanosystems,” Phys. Rev. Lett.90, 027402 (2003). [CrossRef] [PubMed]
M. I. Stockman, “Spasers explained,” Nat. Photon.2, 327–329 (2008). [CrossRef]
E. F. Kuester, M. A. Mohamed, M. Piket-May, and C. L. Holloway, “Averaged transition conditions for electromagnetic fields at a metafilm,” IEEE Trans. Antennas Propag.51, 2641–2651 (2003). [CrossRef]
C. Fietz and G. Shvets, “Homogenization theory for simple metamaterials modeled as one-dimensional arrays of thin polarizable sheets,” Phys. Rev. B82, 205128 (2010). [CrossRef]

Bergman, D. J.
Böhringer, K.
Fang, A.
Fietz, C.
Gordon, J. A.
Hamm, J. M.
Hess, O.
Hess, T.
Holloway, C. L.
Huang, Z.
Jiang, X.
Jin, J.
Koschny, T.
Kuester, E. F.
Mohamed, M. A.
Piket-May, M.
Pusch, A.
Shvets, G.
Siegman, A. E.
Soukoulis, C. M.
Stockman, M. I.
Tsakmakidis, K. L.
Wegener, M.
Wuestner, S.
Zimmerman, W. B. J.
Ziolkowski, R. W.

IEEE Trans. Antennas Propag.

E. F. Kuester, M. A. Mohamed, M. Piket-May, and C. L. Holloway, “Averaged transition conditions for electromagnetic fields at a metafilm,” IEEE Trans. Antennas Propag.51, 2641–2651 (2003). [CrossRef]

J. Opt.

A. Fang, T. Koschny, and C. M. Soukoulis, “Lasing in metamaterial nanostructures,” J. Opt.12, 024013 (2010). [CrossRef]

Nat. Photon.

M. I. Stockman, “Spasers explained,” Nat. Photon.2, 327–329 (2008). [CrossRef]

Opt. Express

Phil. Trans. R. Soc. London Ser. A

S. Wuestner, A. Pusch, K. L. Tsakmakidis, J. M. Hamm, and O. Hess, “Gain and plasmon dynamics in active negative-index metamaterials,” Phil. Trans. R. Soc. London Ser. A369, 3525–3550 (2011). [CrossRef]

Phys. Rev. B

A. Fang, T. Koschny, and C. M. Soukoulis, “Self-consistent calculations of loss-compensated fishnet metamaterials,” Phys. Rev. B82, 121102 (2010). [CrossRef]
A. Fang, T. Koschny, M. Wegener, and C. M. Soukoulis, “Self-consistent calculation of metamaterials with gain,” Phys. Rev. B79, 241104 (2009). [CrossRef]
C. Fietz and G. Shvets, “Homogenization theory for simple metamaterials modeled as one-dimensional arrays of thin polarizable sheets,” Phys. Rev. B82, 205128 (2010). [CrossRef]

Phys. Rev. Lett.

X. Jiang and C. M. Soukoulis, “Time dependent theory for random lasers,” Phys. Rev. Lett.85, 70–73 (2000). [CrossRef] [PubMed]
D. J. Bergman and M. I. Stockman, “Surface plasmon amplification by stimulated emission of radiation: quantum generation of coherent surface plasmons in nanosystems,” Phys. Rev. Lett.90, 027402 (2003). [CrossRef] [PubMed]
S. Wuestner, A. Pusch, K. L. Tsakmakidis, J. M. Hamm, and O. Hess, “Overcoming losses with gain in a negative refractive index metamaterial,” Phys. Rev. Lett.105, 127401 (2010). [CrossRef] [PubMed]
J. M. Hamm, S. Wuestner, K. L. Tsakmakidis, and T. Hess, “Theory of light amplification in active fishnet metamaterials,” Phys. Rev. Lett.107, 167405 (2011). [CrossRef] [PubMed]

Prog. Quantum Electron.

K. Böhringer and O. Hess, “A full time-domain approach to spatio-temporal dynamics of semiconductor lasers. II. spatio-temporal dynamics,” Prog. Quantum Electron.32, 247–307 (2008). [CrossRef]

Other

W. B. J. Zimmerman, Process Modelling and Simulation with Finite Element Methods (World Scientific, 2004).
J. Jin, The Finite Element Method in Electromagnetics, 2nd ed. (John Wiley & Sons, Inc., 2002).
A. E. Siegman, Lasers (University Science Books, 1986). See chapters 2, 3, and 6.
A. Fang, “Reducing the losses of optical metamaterials,” Ph.D. thesis, Iowa State University (2010).

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