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Vol. 12, issue 02, article # 4

pdf Shapovalov K. A. Wentzel–kramers–brillouin (wkb) approximation improved for large scattering angles. // Atmospheric and oceanic optics. 1999. V. 12. No. 02. P. 115-117.
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Abstract:

A modification of the WKB approximation is proposed, which allows its correct application to optically “soft” particles at large scattering angles (larger than 90 ÷ 100°). Capabilities of the modified WKB approximation are demonstrated as applied to calculation of the scattering phase function (or its element f₁₁) for a cylindrical particle in comparison with the standard WKB and Rayleigh—Gans—Debye approximations. Expressions for calculation of backscattering cross section of the cylindrical particle are derived in the standard and modified WKB approximations.