Vol. 114
Latest Volume
All Volumes
PIER 180 [2024] PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2011-03-02
Pulsed Beam Expansion of Electromagnetic Aperture Fields
By
Progress In Electromagnetics Research, Vol. 114, 317-332, 2011
Abstract
The present contribution is concerned with an exact frame-based pulsed-beams expansion of planar aperture time-dependent electromagnetic fields. The propagating field is described as a discrete superposition of tilted, shifted and delayed electromagnetic pulsed-beam waveobjects over the frame spectral lattice. Explicit asymptotic expressions for the electromagnetic pulsed-beam propagators are obtained for the commonly used pulsed-quadratic windows.
Citation
Timor Melamed, "Pulsed Beam Expansion of Electromagnetic Aperture Fields," Progress In Electromagnetics Research, Vol. 114, 317-332, 2011.
doi:10.2528/PIER11012001
References

1. Steinberg, B. Z., E. Heyman, and L. B. Felsen, "Phase space beam summation for time-harmonic radiation from large apertures," J. Opt. Soc. Am. A, Vol. 8, 41-59, 1991.
doi:10.1364/JOSAA.8.000041

2. Shlivinski, A., E. Heyman, A. Boag, and C. Letrou, "A phase-space beam summation formulation for ultra wideband radiation," IEEE Trans. Antennas Propagat., Vol. 52, 2042-2056, 2004.
doi:10.1109/TAP.2004.832513

3. Chabory, A., S. Bolioli, and J. Sokoloff, "Novel Gabor-based Gaussian beam expansion for curved aperture radiation in dimension two," Progress In Electromagnetics Research, Vol. 58, 171-85, 2006.
doi:10.2528/PIER05090702

4. 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.
doi:10.1364/JOSAA.8.000943

5. Melamed, T., "Phase-space beam summation: A local spectrum analysis for time-dependent radiation," Journal of Electromagnetic Waves and Applications, Vol. 11, No. 6, 739-773, 1997.
doi:10.1163/156939397X00945

6. Shlivinski, A., E. Heyman, and A. Boag, "A pulsed beam summation formulation for short pulse radiation based on windowed radon transform (WRT) frames," IEEE Trans. Antennas Propagat., Vol. 53, 3030-3048, 2005.
doi:10.1109/TAP.2005.854550

7. Melamed, T., "Time-domain phase-space Green's functions for inhomogeneous media," Ultrawideband/Short Pulse Electromagnetics 6, E. L. Mokole, M. Kragalott, K. R. Gerlach, M. Kragalott, and K. R. Gerlach (eds.), 56-63, Springer-Verlag, New York, 2007.

8. Shin, S. Y. and L. B. Felsen, "Gaussian beams in anisotropic media," Applied Phys., Vol. 5, 239-250, 1974.

9. Tinkelman, I. and T. Melamed, "Gaussian beam propagation in generic anisotropic wavenumber profiles," Optics Letters, Vol. 28, 1081-1083, 2003.
doi:10.1364/OL.28.001081

10. Tinkelman, I. and T. Melamed, "Local spectrum analysis of ¯eld propagation in anisotropic media, Part I - Time-harmonic fields," J. Opt. Soc. Am. A, Vol. 22, 1200-1207, 2005.
doi:10.1364/JOSAA.22.001200

11. Tinkelman, I. and T. Melamed, "Local spectrum analysis of field propagation in anisotropic media, Part II - Time-dependent fields," J. Opt. Soc. Am. A, Vol. 22, 1208-1215, 2005.
doi:10.1364/JOSAA.22.001208

12. Tuz, V. R., "Three-dimensional Gaussian beam scattering from a periodic sequence of bi-isotropic and material layers," Progress In Electromagnetics Research B, Vol. 7, 53-73, 2008.
doi:10.2528/PIERB08022806

13. Kong, F., B.-I. Wu, H. Huang, J. Huangfu, S. Xi, and J. A. Kong, "Lateral displacement of an electromagnetic beam reflected from a grounded indefinite uniaxial slab ," Progress In Electromagnetics Research, Vol. 82, 351-366, 2008.
doi:10.2528/PIER08032102

14. Melamed, T. and L. B. Felsen, "Pulsed beam propagation in lossless dispersive media, Part I: Theory," J. Opt. Soc. Am. A, Vol. 15, 1268-1276, 1998.
doi:10.1364/JOSAA.15.001268

15. Melamed, T. and L. B. Felsen, "Pulsed beam propagation in lossless dispersive media, Part II: A numerical example," J. Opt. Soc. Am. A, Vol. 15, 1277-1284, 1998.
doi:10.1364/JOSAA.15.001277

16. Melamed, T. and L. B. Fels, "Pulsed beam propagation in dispersive media via pulsed plane wave spectral decomposition," IEEE Trans. Antennas Propagat., Vol. 48, 901-908, 2000.
doi:10.1109/8.865222

17. Kiselev, A. P., "Localized light waves: Paraxial and exact solutions of the wave equation (a review)," Opt. Spectrosc., Vol. 102, 603-622, 2007.
doi:10.1134/S0030400X07040200

18. Cerveny, V., M. M. Popov, and I. Psencik, "Computation of wave fields in inhomogeneous media - Gaussian beam approach," Geophys. J. Roy. Asro. Soc., Vol. 70, 109-128, 1982.
doi:10.1111/j.1365-246X.1982.tb06394.x

19. Wu, Z. and L. Guo, "Electromagnetic scattering from a multilayered cylinder arbitrarily located in a Gaussian beam, a new recursive algorithms," Progress In Electromagnetics Research, Vol. 18, 317-333, 1998.
doi:10.2528/PIER97071100

20. Heyman, E., "Pulsed beam propagation in an inhomogeneous medium," IEEE Trans. Antennas Propagat., Vol. 42, 311-319, 1994.
doi:10.1109/8.280715

21. Melamed, T., "Phase-space Green's functions for modeling time-harmonic scattering from smooth inhomogeneous objects," J. Math. Phys., Vol. 46, 2232-2246, 2004.
doi:10.1063/1.1737812

22. Hadad, Y. and T. Melamed, "Tilted Gaussian beam propagation in inhomogeneous media," J. Opt. Soc. Am. A, Vol. 27, 1840-1850, 2010.
doi:10.1364/JOSAA.27.001840

23. Melamed, T., E. Heyman, and L. B. Felsen, "Local spectral analysis of short-pulse-excited scattering from weakly inhomogenous media: Part I - forward scattering," IEEE Trans. Antennas Propagat., Vol. 47, 1208-1217, 1999.
doi:10.1109/8.785753

24. Melamed, T., E. Heyman, and L. B. Felsen, "Local spectral analysis of short-pulse-excited scattering from weakly inhomogeneous media: Part II - Inverse scattering," IEEE Trans. Antennas Propagat., Vol. 47, 1218-1227, 1999.
doi:10.1109/8.785754

25. Galdi, V., H. Feng, D. A. Castanon, W. C. Karl, and L. B. Felsen, "Moderately rough surface underground imaging via short-pulse quasi-ray Gaussian beams," IEEE Trans. Antennas Propagat., Vol. 51, 2304-2318, 2003.
doi:10.1109/TAP.2003.816363

26. Melamed, T., "On localization aspects of frequency-domain scattering from low-contrast objects," IEEE Antennas Wirel. Propag. Lett., Vol. 2, 40-42, 2003.
doi:10.1109/LAWP.2003.811328

27. Wang, M.-J., Z.-S. Wu, Y.-L. Li, and G. Zhang, "High resolution range profile identifying simulation of laser radar based on pulse beam scattering characteristics of targets," Progress In Electromagnetics Research, Vol. 96, 193-204, 2009.
doi:10.2528/PIER09041901

28. Lim, S.-H, J.-H. Han, S.-Y. Kim, and N.-H. Myung, "Azimuth beam pattern synthesis for airborne SAR system optimization," Progress In Electromagnetics Research, Vol. 106, 295-309, 2010.
doi:10.2528/PIER10061901

29. Collin, R. E., "Scattering of an incident Gaussian beam by a perfectly conducting rough surface," IEEE Trans. Antennas Propagat., Vol. 42, 70-74, 1994.
doi:10.1109/8.272303

30. Kilic, O. and R. H. Lang, "Scattering of a pulsed beam by a random medium over ground,", Vol. 15, No. 4, 481-516, 2001.

31. Hoppe, D. J. and Y. Rahmat-Samii, "Gaussian beam reflection at a dielectric-chiral interface," Journal of Electromagnetic Waves and Applications, Vol. 6, No. 1-6, 603-624, 1992.

32. Wang, M.-J., Z.-S. Wu, and Y.-L. Li, "Investigation on the scattering characteristics of Gaussian beam from two dimensional dielectric rough surfaces based on the Kirchhoff approximation," Progress In Electromagnetics Research B, Vol. 4, 223-235, 2008.
doi:10.2528/PIERB08010903

33. Sakurai, H. and S. Kozaki, "Scattering of a Gaussian beam by a radially inhomogeneous dielectric sphere," Journal of Electromagnetic Waves and Applications, Vol. 15, 1673-1693, 2001.
doi:10.1163/156939301X00193

34. Falco, F. and T. Tamir, "Improved analysis of nonspecular phenomena in beams reflected from stratified media," J. Opt. Soc. Am. A, Vol. 7, 185-190, 1990.
doi:10.1364/JOSAA.7.000185

35. Bass, F. and L. Resnick, "Wave beam propagation in layered media," Progress In Electromagnetics Research, Vol. 38, 111-123, 2002.
doi:10.2528/PIER02081301

36. Kong, J. A., "Electromagnetic wave interaction with stratified negative isotropic media ," Journal of Electromagnetic Waves and Applications, Vol. 15, No. 10, 1319-1320, 2001.
doi:10.1163/156939301X01200

37. Hadad, Y. and T. Melamed, "Non-orthogonal domain parabolic equation and its Gaussian beam solutions," IEEE Trans. Antennas Propagat., Vol. 58, 1164-1172, 2010.
doi:10.1109/TAP.2010.2041161

38. Hadad, Y. and T. Melamed, "Parameterization of the tilted Gaussian beam waveobjects," Progress In Electromagnetics Research, Vol. 102, 65-80.
doi:10.2528/PIER09120405

39. Chou, H.-T., P. H. Pathak, and R. J. Burkholder, "Application of Gaussian-ray basis functions for the rapid analysis of electromagnetic radiation from reflector antennas," IEE Proc., Microw. Antennas Propag., Vol. 150, 177-183, 2003.
doi:10.1049/ip-map:20030506

40. Chou, H.-T., P. H. Pathak, and R. J. Burkholder, "Novel Gaussian beam method for the rapid analysis of large reflector antennas," IEEE Trans. Antennas Propagat., Vol. 49, 880-893, 2001.
doi:10.1109/8.931145

41. Chou, H.-T. and P. H. Pathak, "Fast Gaussian beam based synthesis of shaped reflector antennas for contoured beam applications ," IEE Proc., Microw. Antennas Propag., Vol. 151, 13-20, 2004.
doi:10.1049/ip-map:20040250

42. Melamed, T., "Exact beam decomposition of time-harmonic electromagnetic waves," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 8-9, 975-986, 2009.

43. Melamed, T., "TE and TM beam decomposition of time-harmonic electromagnetic waves," J. Opt. Soc. Am. A, Vol. 28, 401-409, 2011.
doi:10.1364/JOSAA.28.000401

44. Heyman, E. and T. Melamed, "Space-time representation of ultra wideband signals," Advances in Imaging and Electron Physics, Vol. 103, 1-63, Elsevier, 1998.

45. Steinberg, B. Z. and E. Heyman, "Phase space beam summation for time dependent radiation from large apertures: Discretized parametrization ," J. Opt. Soc. Am. A, Vol. 8, 959-966, 1991.
doi:10.1364/JOSAA.8.000959

46. Heyman, E. and T. Melamed, "Certain considerations in aperture synthesis of ultrawideband/short-pulse radiation," IEEE Trans. Antennas Propagat., Vol. 42, 518-525, 1994.
doi:10.1109/8.286220

47. Shlivinski, A., E. Heyman, and A. Boag, "A phase-space beam summation formulation for ultrawide-band radiation - Part II: A multiband scheme," IEEE Trans. Antennas Propagat., Vol. 53, 948-957, 2005.
doi:10.1109/TAP.2004.842683