Download Progress in Optics, Volume 39 by Emil Wolf (ed.) PDF
By Emil Wolf (ed.)
Provides 5 articles at the following issues of analysis in optics: complicated rays; homodyne detection and quantum-state reconstruction; scattering of sunshine in eikonal approximation; the orbital angular momentum of sunshine; and the optical Kerr impact and quantum optics in fibres.
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Example text
Generally two complex rays arrive at each point of observation: the direct ray from the complex point source, and the diffracted complex ray from the edge of the half-plane. The contribution of the diffracted ray can be calculated by a generalization for complex rays of the geometric theory of diffraction. Pereira [1984] suggested referring to this theory as the “complex geometric theory of diffraction”. The impressive accuracy of the results for this problem was reported by Takenaka and Fukumitsu [1982].
2). Notice that the first variations of both the real and imaginary parts of the eikonal must vanish. The second of these requirements has been regarded as a “principle of least attenuation”. Conditions of this type are discussed, for example, in the review paper by Kravtsov, Tinin and Cherkashin [1979] devoted to multipath phenomena in ionospheric radio wave propagation, and in a recent review and a book by Apresyan and Kravtsov [1996a,b] in the chapter concerning multipath phenomena in the theory of radiative transfer.
28) is valid only for sufficiently long pulses. Other aspects of complex ray propagation in anisotropic media were treated by Budden and Terry [1971], Terry [1971, 19781, and Sukhy [1972a,b, 19741. The last paper takes into account mode coupling effects in lossy anisotropic media. An alternative formulation of complex geometrical optics for lossy anisotropic media, which explores the coupled equations for tp’ and V’’ instead of the complex eikonal equation Hj = 0, was stumed by Sukhy [1972a]. Gaussian beam propagation in anisotropic media was also investigated by Shin and Felsen [1974].