Purcell effect in sub-wavelength semiconductor lasers
Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid
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Yn: Optics Express, Cyfrol 21, Rhif 13, 01.07.2013, t. 15603-15617.
Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid
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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 -