Phase-space beam summation: A local spectrum analysis of time-dependent radiation

Journal of Electromagnetic Waves and Applications

Volumn 11, Issue 6, 1997, Pages 739-773

  Melamed, Timor ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC FIELD THEORY; NUMERICAL METHODS; PHASE SPACE METHODS; SPECTRUM ANALYSIS; WAVELET TRANSFORMS;

TIME DEPENDENT RADIATION;

ELECTROMAGNETIC WAVES;

EID: 0030714898     PISSN: 09205071     EISSN: 15693937     Source Type: Journal    
DOI: 10.1163/156939397X00945     Document Type: Article

References (33)

1. Brittingham, J. B., "Focus wave modes in homogeneous maxwell's equation: Transverse electric mode," J. Appl. Phys, Vol. 5, 1179-1189, 1983.
2. Ziolkowsky, R. W., "Localized transmission of electromagnetic energy," Phys. Rev. A, Vol. 39, 2005-2033, 1989.
3. Moses, H. E., and R. T. Prosser, "Initial conditions, sources and three dimensions. part I: The inverse initial value problem. acoustic and electromagnetic 'bullets', expanding waved and imploding waves," IEEE Trans. Antennas Propagat., Vol. AP-34, 188-196, 1986.
4. Wu, T. T., "Electromagnetic missiles," J. APhys., Vol. 60, 2981-2985, 1985.
5. Heyman, E., and L. B. Felsen, "Complex source pulsed beam fields," J. Opt. Soc. Am. A, Vol. 6, 806-817, 1989.
6. Heyman, E., B. Z. Steinberg, and R. Ianconescu, "Electromagnetic complex source pulsed beam fields," IEEE Trans. Antennas Propagat., Vol. AP-38, 957-963, 1990.
7. Felsen, L. B., and N. Marcuvitz, Radiation and Scattering of Waves, IEEE Press, Piscataway, N.J., 1994.
8. Felsen, J. B., "Novel ways for tracking rays," J. Opt. Soc. Am. A, Vol. 2, 954-963, 1985, invited paper.
9. Chapman, C. H., "A new method for computing synthetic seismograms," Geophys. J. Roy. Astro. Soc., Vol. 54, 481-518, 1978.
10. Heyman, E., and L. B. Felsen, "Weakly dispersive spectral theory of transients (STT), part I: Formulation and interpretation, part II: Evaluation of the spectral integral, part III: Applications," IEEE Trans. Antennas propagat., Vol. AP-35, 80-86; 574-580; 1258-1266, 1987.
11. Hansen, T. B., and A. D. Yaghjian, "Planar near-field scanning in the time-domain. part I: Formulation," IEEE Trans. Antennas Propagat., Vol. AP-42, 1280-1291, 1994.
12. Hansen, T. B., and A. D. Yaghjian, "Planar near-field scanning in the time-domain. part II: Sampling theorem computation schemes," IEEE Trans. Antennas propagat., Vol. AP-42, 1292-1300, 1994.
13. Heyman, E., "Pulsed beam propagation in an inhomogeneous medium," IEEE Trans. Antennas Propagat., Vol. AP-42, 311-319, 1994.
14. Heyman, E., R. Strachielevitz, and D. Koslof, "Pulsed baem reflection and transmission at a planar interface: Exact solutions and approxi- mate local models," Wave Motion, Vol. 18, 315-343, 1993.
15. Ianconescu, R., and E. Heyman, "Pulsed beam diffraction by a perfectly conduction wedge. Exact solution," IEEE Trans. Antennas propagat., Vol. AP-42, 1377-1385, 1994
16. Popov, M. M., V. Cerveny, and I. PŜenĈik, "Computation of wave films in inhomogeneious media- Gaussian beam approach," Geophys. J. Roy. Soc., Vol. 70, 109-128, 1982.
17. Heyman, E., "Complex source pulsed beam expansion of transient radiation," Wave Motion, Vol. 11, 337-349, 1989.
18. Bastiaans, M. J., "The expansion of an optical signal into a discrete set of Gaussian beams," Optik, Vol. 57, 95-102, 1980.
19. Einziger, P. D., S. Raz, and M. Shapira, "Gabor representation and aperture theory," J. Opt. Soc. Am. A, Vol. 3, 508-522, 1986.
20. Steinberg, B. Z., E. Heyman, and L. B. Felsen, "Phased space beam summation for time-harmonic radiation from large apertures," J. Opt. Soc. Am. A, Vol. 8, 41-59, 1991.
21. Maciel, J. J., and L. B. Felsen, "Systematic study of fields due to extended apertures by Gaussian beam discretization," IEEE Trans. Antennas propagat., Vol. AP-37, 884-892, 1989.
22. Dendane, A., and J. M Arnold, "Scattered fields analysis of a focused reflector using the Gabor series," IEEE Proc. Microwaves, Antennas and Propagation, Vol. 141, 216-222, 1994.
23. Arnold, J. M., "Phased-space localization and discrete representations of wave fields," J. Opt. Soc. Am. A, Vol. 12, 111-123, 1995.
24. Steinberg, B. Z., E. Heyman, and L. B. Felsen, "Phase space beam summation for time dependent radiation from large apertures: Continuous parametrization," J. Opt. Soc. Am. A, Vol. 8, 943-958, 1991.
25. Steinberg, B. Z., and E. Heyman, "Phase space beam summation for time dependent radiation from large apertures: Discretize parametrization," J. Opt. Soc. Am. A, Vol. 8 959-966, 1991.
26. Steinberg, B. Z., and E. Heyman, "The local Radon transform and variable scale resolution with application to time-dependent radiation," SIAM J. Appl. Math., Vol. 53, 381-400, 1993.
27. Siegman, A. E., "Hermite-Gaussian functions of complex arguments as optical-beam eigenfunctions," J. Opt. Soc. Am., Vol. 63, 1093-1094, 1973.
28. Heyman, E., and I. Beracha, "Complex multidipole pulsed beams and hermit pulsed beams: A novel expansion scheme for transient radiation from well collimated apertures," J. Opt. Soc. Am., A, Vol. 9, 1779-1793, 1992.
29. Steinberg, B. Z., and J. J. McCoy, "Marching acoustic fields in a phase- space," J. Acoust. Soc. Am., Vol. 93, 188-204, 1993.
30. Melamed, T., "Phase-space techniques for time-domain local inversion of inhomogeneous medium," Ph.D. thesis, Tel-Aviv University, 1996.
31. Chapman, C. H., "Generalized Radon transforms and slant stacks," Geophys. J. Roy. Astr. Soc., Vol. 66, 445, 1981.
32. Bastiaans, M. J., "Signal descriptions by means of a local frequency spectrum," Transformations in Optical Signal Processing, Proc. SPIE, Vol. 373, 49-62, 1981.
33. Heyman, E., and T. Melamed, "Certain consideration in aperture synthesis for ulrawideband/short-pulsed fields," IEEE Trans. Antennas Propagat., Vol. AP-42, 518-525, 1994