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Self-focusing of Gaussian beams: an alternate derivation

Pierre-A. Belanger and Claude Pare

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Abstract

It is shown that self-focusing can be taken into account in an optical paraxial system by simply defining a new generalized radius of curvature, namely,

1qNL=1R−jσπW2λ,
where (σ − 1) is the ratio of the power of the beam to the critical power for self-focusing.

© 1983 Optical Society of America

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