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Broadband fluorescence and lasing: the role of the chemical potential of light

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posted on 2023-04-04, 10:42 authored by Peter Muys
We model broadband fluorescence as transitions between two bands of an active medium where the sublevels in the individual bands each follow a Boltzmann distribution. The Einstein equations describing the evolution of two levels, are extended for this purpose to describe two bands. We derive a new expression for the chemical potential of photons by imposing Bose-Einstein statistics to our results. We describe for the first time the exact relationship between chemical potential, excitation potential and the zero-phonon energy. We also derive the gain coefficient and show that lasing is not possible in a two-band system. In summary, a two-band model behaves in many aspects similar to a two-level model.

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Preprint ID

105404

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