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A uniform integral representation for geometric optics solutions near caustics
1.G. Hazak, I. B. Bernstein, and T. M. Smith, Phys. Fluids 26, 684 (1983).
2.G. Hazak, I. B. Bernstein, and T. M. Smith, Phys. Fluids (to be published).
3.S. Ichimaru, Basic Principles of Plasma Physics, a Statistical Approach (Benjamin, Boston, 1973).
4.L. Friedland and I. B. Bernstein, Phys. Rev. A 22, 1680 (1980).
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6.Yu. K. Kravtsov, Sov. Phys. Acoust. 14, 1 (1968).
7.L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981).
8.The solutions on both sides of the source are clearly the Airy functions which according to (1) must satisfy the jump condition This condition together with the asymptotic behavior of G at yield Eq. (2).
9.M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970).
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