Saturation of Optical Transitions in Organic Compounds by Laser Flux*†

L. Huff; L. G. DeShazer

doi:10.1364/JOSA.60.000157

Journal of the Optical Society of America
Vol. 60,
Issue 2,
pp. 157-165
(1970)
•https://doi.org/10.1364/JOSA.60.000157

Saturation of Optical Transitions in Organic Compounds by Laser Flux

L. Huff and L. G. DeShazer

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L. Huff and L. G. DeShazer, "Saturation of Optical Transitions in Organic Compounds by Laser Flux*†," J. Opt. Soc. Am. 60, 157-165 (1970)

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Abstract

Results of a comprehensive theoretical treatment of saturated absorption are presented. An expression for the transmittance as a function of incident radiant-flux density is derived for an energy-level model including excited-state absorption. This expression is found to be a general result, applicable to any model with two transitions absorbing the laser flux under steady-state conditions. The variation of transmittance with incident-flux density was measured and fitted to this expression for cryptocyanine in methanol and the amylose–iodine–iodide complex, as examples. Also, the time-dependent saturation phenomena are analyzed numerically for optically thick absorbers, and results are presented using model parameters appropriate to chloroaluminum phthalocyanine in pyridine. The temporal shaping of the laser pulse transmitted by the cryptocyanine solution was observed and fitted to the time-dependent computer solution.

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Model	K₁	K₂	K₃
Fig. 2	$1 + \frac{A_{32}}{A_{21}} + 2 (\frac{A_{31} + A_{32}}{A_{3^{'} 3}}) + \frac{σ_{2}}{σ_{1}} \frac{A_{42}}{A_{4^{'} 4}} (\frac{A_{31} + A_{32}}{A_{42}})$	$\frac{σ_{2}}{σ_{1}} [\frac{A_{32}}{A_{21}} + \frac{A_{42}}{A_{4^{'} 4}} (\frac{A_{31} + A_{32}}{A_{42}})]$	$\frac{σ_{2}}{σ_{1}} (\frac{A_{31} + A_{32}}{A_{42}}) \cdot {\frac{A_{42}}{A_{4^{'} 4}} [1 + 2 \frac{A_{32}}{A_{21}} + 2 (\frac{A_{31} + A_{32}}{A_{3^{'} 3}})] + \frac{A_{32}}{A_{21}}}$
Fig. 3	$\frac{σ_{2}}{σ_{1}} (\frac{A_{31} + A_{32}}{A_{42}}) + \frac{A_{32}}{A_{21}} + 2$	$\frac{σ_{2}}{σ_{1}} [\frac{A_{32}}{A_{21}} + (\frac{A_{31} + A_{32}}{A_{42}})]$	$2 \frac{σ_{2}}{σ_{1}} (\frac{A_{31} + A_{32}}{A_{42}}) (1 + \frac{A_{32}}{A_{21}})$
Fig. 4	$\frac{σ_{3}}{σ_{1}} (\frac{A_{31} + A_{32}}{A_{43}}) + \frac{A_{32}}{A_{21}} + 2$	$\frac{σ_{3}}{σ_{1}} [1 + (\frac{A_{31} + A_{32}}{A_{43}})]$	$\frac{σ_{3}}{σ_{1}} (3 + \frac{A_{32}}{A_{21}}) (\frac{A_{31} + A_{32}}{A_{43}})$
Fig. 5	$\frac{σ_{2}}{σ_{1}} \frac{A_{21}}{A_{32}} + 2$	$\frac{σ_{2}}{σ_{1}} (1 + \frac{A_{21}}{A_{32}})$	$3 \frac{σ_{2}}{σ_{1}} \frac{A_{21}}{A_{32}}$

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Journal of the Optical Society of America