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A differential equation is derived and used to calculate the dynamic response of a saturable absorber to an incident light pulse of high intensity and short duration. Particular reference is made to the use of the phthalocyanine dyes which have been employed for laser Q -switching. It is found that high-intensity pulses are transmitted with little distortion or attenuation, but those of intermediate intensity show some reduction in pulse width and a delay in reaching peak intensity, in addition to suffering some attenuation. For a ruby-laser-phthalocyanine-dye system these effects would be expected for nanosecond pulse widths and peak intensities in the region of 10 6 w cm -2 . The application of the theory in the design of a laser amplifier chain for pulse sharpening is indicated briefly.
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A. C. Selden (1967) studied this question.
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