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Purcell effect in sub-wavelength semiconductor lasers

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Purcell effect in sub-wavelength semiconductor lasers. / Gu, Qing; Slutsky, Boris; Vallini, Felipe et al.
In: Optics Express, Vol. 21, No. 13, 01.07.2013, p. 15603-15617.

Research output: Contribution to journal › Article › peer-review

HarvardHarvard

Gu, Q, Slutsky, B, Vallini, F, Smalley, JST, Nezhad, MP, Frateschi, NC & Fainman, Y 2013, 'Purcell effect in sub-wavelength semiconductor lasers', Optics Express, vol. 21, no. 13, pp. 15603-15617. https://doi.org/10.1364/OE.21.015603

APA

Gu, Q., Slutsky, B., Vallini, F., Smalley, J. S. T., Nezhad, M. P., Frateschi, N. C., & Fainman, Y. (2013). Purcell effect in sub-wavelength semiconductor lasers. Optics Express, 21(13), 15603-15617. https://doi.org/10.1364/OE.21.015603

CBE

Gu Q, Slutsky B, Vallini F, Smalley JST, Nezhad MP, Frateschi NC, Fainman Y. 2013. Purcell effect in sub-wavelength semiconductor lasers. Optics Express. 21(13):15603-15617. https://doi.org/10.1364/OE.21.015603

MLA

Gu, Qing et al. "Purcell effect in sub-wavelength semiconductor lasers". Optics Express. 2013, 21(13). 15603-15617. https://doi.org/10.1364/OE.21.015603

VancouverVancouver

Gu Q, Slutsky B, Vallini F, Smalley JST, Nezhad MP, Frateschi NC et al. Purcell effect in sub-wavelength semiconductor lasers. Optics Express. 2013 Jul 1;21(13):15603-15617. Epub 2013 Jun 21. doi: 10.1364/OE.21.015603

Author

Gu, Qing ; Slutsky, Boris ; Vallini, Felipe et al. / Purcell effect in sub-wavelength semiconductor lasers. In: Optics Express. 2013 ; Vol. 21, No. 13. pp. 15603-15617.

RIS

TY - JOUR

T1 - Purcell effect in sub-wavelength semiconductor lasers

AU - Gu, Qing

AU - Slutsky, Boris

AU - Vallini, Felipe

AU - Smalley, Joseph S. T.

AU - Nezhad, Maziar P.

AU - Frateschi, Newton C.

AU - Fainman, Yeshaiahu

PY - 2013/7/1

Y1 - 2013/7/1

N2 - We present a formal treatment of the modification of spontaneous emission rate by a cavity (Purcell effect) in sub-wavelength semiconductor lasers. To explicitly express the assumptions upon which our formalism builds, we summarize the results of non-relativistic quantum electrodynamics (QED) and the emitter-field-reservoir model in the quantum theory of damping. Within this model, the emitter-field interaction is modified to the extent that the field mode is modified by its environment. We show that the Purcell factor expressions frequently encountered in the literature are recovered only in the hypothetical condition when the gain medium is replaced by a transparent medium. Further, we argue that to accurately evaluate the Purcell effect, both the passive cavity boundary and the collective effect of all emitters must be included as part of the mode environment.

AB - We present a formal treatment of the modification of spontaneous emission rate by a cavity (Purcell effect) in sub-wavelength semiconductor lasers. To explicitly express the assumptions upon which our formalism builds, we summarize the results of non-relativistic quantum electrodynamics (QED) and the emitter-field-reservoir model in the quantum theory of damping. Within this model, the emitter-field interaction is modified to the extent that the field mode is modified by its environment. We show that the Purcell factor expressions frequently encountered in the literature are recovered only in the hypothetical condition when the gain medium is replaced by a transparent medium. Further, we argue that to accurately evaluate the Purcell effect, both the passive cavity boundary and the collective effect of all emitters must be included as part of the mode environment.

U2 - 10.1364/OE.21.015603

DO - 10.1364/OE.21.015603

M3 - Article

VL - 21

SP - 15603

EP - 15617

JO - Optics Express

JF - Optics Express

SN - 1094-4087

IS - 13

ER -