Generalized eikonal approximation. 1. Propagation of an electromagnetic pulse in a linear dispersive medium

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 15, Issue 10, 1998, Pages 2720-2724

  Quek, B C ^a   Wong, B R ^a   Low, K S ^a  

^a UNIVERSITY OF MALAYA   (Malaysia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040439726     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.15.002720     Document Type: Article

References (15)

1. A. Sommerfeld and J. Runge, “Anwendung der Vektorrechnung auf die Grundlagen der Geometrischen Optik, ” Ann. Phys. (Leipzig) 35, 277–298 (1911).
2. M. Born and E. Wolf, Principies of Optics (Pergamon, Oxford, UK, 1975), Chap. 3.
3. J. B. Keller, “Geometrical theory of diffraction, ” J. Opt. Soc. Am. 52, 116–130 (1962).
4. J. B. Keller and W. Streifer, “Complex rays with application to Gaussian beams, ” J. Opt. Soc. Am. 61, 40–43 (1971).
5. S. Choudhary and L. B. Felsen, “Asymptotic theory for in-homogeneous waves, ” IEEE Trans. Antennas Propag. 21, 827–842 (1973).
6. Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of In-homogeneous Media (Springer-Verlag, Berlin, 1990), Chap.2.
7. Y. A. Kravtsov, L. A. Ostrovsky, and N. S. Stepanov, “Geometrical optics of inhomogeneous and nonstationary dispersive media, ” Proc. IEEE 62, 1492–1510 (1974).
8. M. Kline and I. W. Kay, Electromagnetic Theory and Geometrical Optics (Interscience, New York, 1965), Chap. 6.
9. L. B. Felsen, “Rays, dispersion surfaces and their uses for radiation and diffraction problems, ” SIAM Rev. 12, 425–448 (1970).
10. H. Guo and X. Deng, “Differential geometrical methods in the study of optical transmission (scalar theory). I. Static transmission case, ” J. Opt. Soc. Am. A 12, 600–606 (1995).
11. H. Guo and X. Deng, “Differential geometrical methods in the study of optical transmission (scalar theory). II. Time-dependent transmission theory, ” J. Opt. Soc. Am. A 12, 607–610 (1995).
12. F. John, Partial Differential Equations (Springer-Verlag, New York, 1978), Chap. 1.
13. S. Choudhary and L. B. Felsen, “Analysis of Gaussian beam propagation and diffraction by inhomogeneous wave tracking, ” Proc. IEEE 62, 1530–1541 (1974).
14. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975), Chap. 7.
15. D. Marcuse, “Pulse distortion in single-mode fibers, ” Appl. Opt. 19, 1653–1660 (1980).