Model for describing plasmonic nanolasers using Maxwell-Liouville equations with finite-difference time-domain calculations

Trivedi, Dhara J.; Wang, Danqing; Odom, Teri W.; Schatz, George C.

doi:10.1103/physreva.96.053825

Title: Model for describing plasmonic nanolasers using Maxwell-Liouville equations with finite-difference time-domain calculations

Journal Article · Fri Nov 10 00:00:00 EST 2017 · Physical Review A

DOI:https://doi.org/10.1103/physreva.96.053825· OSTI ID:1540665

Trivedi, Dhara J. ^[1]; Wang, Danqing ^[1]; Odom, Teri W. ^[1]; Schatz, George C. ^[1]

Northwestern Univ., Evanston, IL (United States)

In this work, we present a theoretical study of lasing action when plasmonic metallic structures that show lattice plasmon resonances are embedded in a gain medium. Our model combines classical electrodynamics for arrays of gold nanoparticles with a four-level quantum Liouville model of the laser dye photophysics. A numerical solution was implemented using finite-difference time-domain calculations coupled with a finite-difference solution to the Liouville equation. A particular focus of this work is the influence of dephasing in the quantum dynamics on the emission intensity at the threshold for lasing. We find that dephasing in the quantum system leads to reduced lasing emission, but with little effect on the long-term population inversion. Both electronic and vibrational dephasing is considered, but only electronic dephasing is significant, with the fully dephased result appearing for dephasing times comparable to plasmon dephasing (~10 fs) while fully coherent results involve >100 ps dephasing times as determined by the rate of stimulated emission. There are factor-of-2 differences between the Maxwell-Liouville results (greater emission intensities and narrower widths) compared to the corresponding results of rate-equation models of the dye states, which indicates the importance of using the Maxwell-Liouville approach in modeling these systems. We also examine rate-equation models with and without constraints arising from the Pauli exclusion principle, and we find relatively small effects.

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Research Organization:: Northwestern Univ., Evanston, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0004752; DMR-1608258

OSTI ID:: 1540665

Alternate ID(s):: OSTI ID: 1408258

Journal Information:: Physical Review A, Vol. 96, Issue 5; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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Title: Model for describing plasmonic nanolasers using Maxwell-Liouville equations with finite-difference time-domain calculations

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