Approximate analytic expressions for calculation of spontaneous emission spectra for a quantum well embedded in a planar microcavity |
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Authors: | Hong-Dong Zhao Mei Sun Li-Ying Han Ping He Hong-Li Tian |
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Institution: | (1) School of Information Engineering, Hebei University of Technology, Tianjin, 300130, China |
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Abstract: | The control of spontaneous emission is one of important characteristics of a planar microcavity. The integrals in the spherical
coordinate for TE and TM modes spontaneous emission spectra of a quantum well (QW) embedded in a planar microcavity are derived
with new variables dependent on wavelength and Taylor series including the two polarizations of the vacuum field. The approximate
expressions of spontaneous emission in QW planar microcavities are obtained. The approximate results show that spontaneous
emission spectra agree well with that in the numerical integral for planar semiconductor microcavities, in which Fermi-Dirac
distribution functions of electrons and holes are considered. The main contribution to the spontaneous emission, radiated
into all direction, has been found. |
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Keywords: | Quantum well Planar microcavity Approximate expressions Spontaneous emission |
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