By Professor Dr. Wolfgang Demtröder (auth.)

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This spontaneous radiation can be emitted in the arbitrary direction k and increases the number of photons in the mode with frequency v and wave vector k by oue. In the case of isotropic emission, the prob ability of gaining a spontaneous photon is equal for all modes with the same frequency v but different directions k. 17) A21 is the Einstein coefficient of spontaneous emission and is often called the spontaneous transition probability. 2. Absorption and Emission of Light 14 Let us now look for relations between the three Einstein coefficients B12, B21, and A21.

1 05c) that limits the spatial coherence. , they may have different frequencies w. The coherence length is determined by the spectral width ßw of the radiation emitted from A s . Since Ikl = wie the spectral width ßw corresponds to an interval ßk = ßwle of the k values. 107).

The induced photon of energy h v is emitted into the same mode that caused the emission. This means that the number of photons in this mode is increased by one. 16) The constant factor B21 is the Einstein coefficient oi induced emission. An excited molecule in the state E2 mayaiso spontaneously convert its excitation energy into an emitted photon hv. This spontaneous radiation can be emitted in the arbitrary direction k and increases the number of photons in the mode with frequency v and wave vector k by oue.

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