Purcell Factor

From Qwiki

The enhanced radiative rate of an emitter within a microcavity relative to its value in free-space. For maximal coupling (on-resonance and with the emitter positioned at a field maximum):

$F_{P}=\frac{3}{4\pi^2}\left(\frac{\lambda_{c}}{n}\right)^3\left(\frac{Q}{V}\right)$

where $(λ c / n)$ is the wavelength within the material, and Q and V are the Quality Factor and mode volume (in cubic-wavelengths) of the cavity, respectively.

References

E. M. Purcell, H. C. Torrey, and R. V. Pound, Physical Review, Vol. 69, p. 37 (1946)
E. M. Purcell, Physical Review, Vol. 69, p. 681 (1946)
J. -M. Gerard and B. Gayral, Strong Purcell effect for InAs quantum boxes in three-dimensional solid-state microcavities, IEEE Journal of Lightwave Technology, Vol. 17, No. 11, pp. 2089-2095 (1999).

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Categories: Concept | Optics | Quantum Optics