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The Lineshape of Saturation-Broadened Transitions in the Gas Phase

✍ Scribed by R.H. Schwendeman

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
84 KB
Volume
198
Category
Article
ISSN
0022-2852

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✦ Synopsis

The equations of motion for the density matrix are manipulated in spherical tensor form to derive formulas for the lineshapes of saturation-broadened spectroscopic transitions for gas-phase molecules. The formulas, which include consideration of the spatial degeneracy, are given for both plane-polarized and circularly polarized radiation and are in the form of weighted sums of the reciprocals of the eigenvalues of a matrix. In most practical cases, the eigenvalues will be in the form of Lorentz denominators, which expresses the lineshape as a sum of saturation-broadened Lorentz lineshapes. The approximations required to make the lineshapes equal to a sum of Karplus-Schwinger saturation-broadened lineshapes are described. The lineshape formula for plane-polarized radiation is equivalent to the continued-fraction form previously reported (R. H.

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