By E. Wolf (Ed.)

ISBN-10: 0080880002

ISBN-13: 9780080880006

ISBN-10: 0444854444

ISBN-13: 9780444854445

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Extra info for Progress in Optics, Vol. 19

Example text

In fact, the Bloch equations are valid for arbitrary degrees of saturation, provided only that the impact approximation is valid (O'T,<<1). In this limit, restoration of the omitted terms described above leads, upon transcription to the lO)-l1) basis, precisely the simple and familiar form of the Bloch equations, in particular with plo coupled only to itself by the relaxation mechanism, whereas in the I*) basis, all four density matrix elements are coupled to one another. SZIKLAS [1969] is evidently concerned, however, with the limit of well separated spectral lines, and the expressions he finds, notwithstanding the misleading statement described above, are valid in the stated limit.

The power-broadening and saturation predicted by eq. 5a) was confirmed experimentally by CITRON,GRAY,GABELand STROUD [1977] and by EZEKIEL and Wu [1978]. In the latter experiment, an asymmetry of the absorption curve (not the scattering spectrum) was observed, possibly due to the cumulative effect of radiation pressure on the atoms. 3. n-photon incident field; the dressed atom method In view of the discussion of 0 2 it is clear that the results obtained by taking the initial field state to have exactly n photons in a particular mode and then letting n and the quantization volume V approach infinity with n/V constant must be identical to the ones obtained for the case of an initially coherent field state.

MOLLOW[1975a] achieved a rigorous and exact solution for the Schrodinger pure state vector I t ) which describes the joint, correlated system of atom and field, including multiphoton terms of all orders. 19) 26 RESONANCE LIGHT SCATTERING AND FLUORESCENCE [I, 5 3 where E(+)is the Schrodinger picture quantum mechanical photon absorption operator at the position of the atom, to which the c-number coherent state eigenvalue EF'(t) must be added when the canonical transformation described in 0 2 is inverted.

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Progress in Optics, Vol. 19 by E. Wolf (Ed.)


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