Vol. 6, issue 12, article # 9

Fortes B.V. Lens transform in calculations of coherent paraxial beam propagation. // Atmospheric and oceanic optics. 1993. V. 6. No. 12. P. 877-880.
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Abstract:

The theory of so–called "lens" transform known also as Talanov coordinate transform is discussed. It gives the possibility for the numerical modeling of focused beams propagation along very short paths and collimated beams propagation along very long path, reducing the problem on propagation of the initial beam to the problem on propagation of the equivalent beam with different initial curvature of the wave front. The formula for conversion of the refractive index field along the initial beam path to the refractive index field along the equivalent beam path is derived. This formula is used to recalculate the parameters of a medium in the problem on nonstationary thermal blooming.

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