Self-phase modulation of laser beams by media which possess a temperature-dependent refractive index gives rise to far-field aberrational rings. Steady-state aberration profiles were measured and quantitative agreement with theory was obtained. A simple qualitative explanation of the ring structure is given. A self-induced frequency modulation of 1.5-W argon laser pulses was also observed and chirping detected.
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Dabby et al. (1970) studied this question.