Guiding, Diffraction, and Confinement of Optical Radiation by Salvatore Solimeno PDF
By Salvatore Solimeno
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Extra info for Guiding, Diffraction, and Confinement of Optical Radiation
5) ds' we can rewrite Eq. 6) iBon(s') As a consequence, when da -> 0, V 2 S -► - oo. This fact is connected with the concept of caustic (see Section II. lb) as the locus of points where the Laplacian of the eikonal becomes a divergent quantity (see Fig. 6). According to the previous results, the field amplitude along a ray depends on the way in which da or, equivalently, V 2 5 varies. Thus, the knowledge of the trajectory of a single ray is not sufficient to deduce the amplitude A0, but it is necessary to determine all the rays in the proximity of the reference trajectory.
48 I General Features of Electromagnetic Propagation Bibliography Akhmanov, S. , and Khokhlov, R. " Gordon and Breach, New York, 1972. , and Eberly, J. " Wiley, New York 1975. " Benjamin-Cummings, Menlo Park, California, 1965. Brewer, R. , Phys. Today 30, 50 (1977). Chow, W. , Pedrotti, L. , Sanders, V. , and Scully, M. , Rev. Mod. Phys. 57, 61 (1985). , and Grainger, J. " Pergamon, Oxford, 1971. Feynman, R. , Vernon F. , and Hellwarth R. , J. Appi Phys. 28, 49 (1957). " Vols. 1, and 2. , Amsterdam, 1981, and 1985.
From a conceptual point of view, the usefulness of the analytic signal stems from the way in which, at optical frequencies, a fast detector performs measurements of the instantaneous optical intensity. More precisely, we refer to a realistic detector having a response time Td small compared with the inverse of the field bandwidth δω but large with respect to the inverse of its mean frequency ω 0 . 5) justifying the term instantaneous intensity applied to the above integral. , Marathay ) through the free-space impedance Co &n
Guiding, Diffraction, and Confinement of Optical Radiation by Salvatore Solimeno