Vol. 112
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]
2011-01-25
Analysis of High Frequency Plane Wave Transmission into a Double Negative Cylinder by the Modified Watson Transformation and Debye Series Expansion: First Term of the Debye Series
By
Progress In Electromagnetics Research, Vol. 112, 397-414, 2011
Abstract
The modified Watson transform is applied to the Mie series for the electromagnetic wave transmitted into the double negative cylinder due to high frequency plane wave incidence The Debye series expansion is adapted to the transmission coefficients to reveal the transmission mechanism at high frequency. The first term of the Debye series is examined. Two kinds of geometrical shadow regions and two kinds of geometrically lit regions are shown to exist. The field formation mechanisms in these regions are indicated. Several differences between a double positive cylinder and a double negative cylinder are determined. The field computations are performed in the geometrical shadow and the geometrically lit regions for the first term of the Debye series. The residue series and steepest descent computations are shown to be in good agreement with the Mie series computations.
Citation
Saffet Sen, "Analysis of High Frequency Plane Wave Transmission into a Double Negative Cylinder by the Modified Watson Transformation and Debye Series Expansion: First Term of the Debye Series," Progress In Electromagnetics Research, Vol. 112, 397-414, 2011.
doi:10.2528/PIER10121602
References

1. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of ε and μ ," Soviet Physics Uspekhi, Vol. 10, No. 4, Jan.--Feb. 1968.

2. Pendry, J. B., A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Transactions on Microwave Theory and Techniques,, Vol. 47, 2075-2084, Nov. 1999.

3. Pendry, J. B., A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic mesostructures," Physical Review Letters, Vol. 76, 4773, Jun. 17, 1996.

4. Smith, D. R., W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Physical Review Letters, Vol. 84, 4184, May 1, 2000.

5. Shelby, R. A., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, Apr. 6, 2001.

6. Caloz, C., H. Okabe, T. Iwai, and T. Itoh, "Transmission line approach of left-handed (LH) materials," Proc. USNC/URSI, Vol. 1, No. 39, San Antonio, TX, Jun. 2002.

7. Iyer, A. K. and G. V. Eleftheriades, "Negative refractive index metamaterials supporting 2-D waves," Proc. IEEE MTT-S Int. Symp., Vol. 2, 1067-1070, San Antonio, TX, Jun. 2002.

8. Eleftheriades, G. V., A. K. Iyer, and P. C. Kramer, "Planar negative refractive index media using periodically L-C loaded transmission lines," IEEE Transactions on Microwave Theory and Techniques, Vol. 50, No. 12, Dec. 2002.
doi:10.1109/TMTT.2002.805197

9. Naghsvarian-Jahromi, M., "Novel compact meta-material tunable quasi elliptic band-pass filter using microstrip to slotline transition," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 17--18, 2371-2382, 2010.
doi:10.1163/156939310793675808

10. Choi, J. and S. Lim, "Frequency and radiation pattern reconfigurable small metamaterial antenna using its extraordinary zeroth-order resonance," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 14--15, 2119-2127, 2010.

11. Alici, K. B., A. E. Serebryannikov, and E. Ozbay, "Radiation properties and coupling analysis of a metamaterial based, dual polarization, dual band, multiple split ring resonator antenna," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 8--9, 1183-1193, 2010.
doi:10.1163/156939310791586188

12. Sabah, C., "Tunable metamaterial design composed of triangular split ring resonator and wire strip for S- and C-microwave bands," Progress In Electromagnetics Research B, Vol. 22, 341-357, 2010.
doi:10.2528/PIERB10051705

13. Wang, J., S. Qu, H. Ma, J. Hu, Y. Yang, X. Wu, Z. Xu, and M. Hao, "A dielectric resonator-based route to left-handed metamaterials," Progress In Electromagnetics Research B, Vol. 13, 133-150, 2009.
doi:10.2528/PIERB09011103

14. Penalosa-Camacho, C., T. M. Martin-Guerrero, J. Esteban, and J. E. Page, "Derivation and general properties of artificial lossless balanced composite right/left-handed transmission lines of arbitrary order," Progress In Electromagnetics Research B, Vol. 13, 151-169, 2009.
doi:10.2528/PIERB09011002

15. Qiang, L., H. Lu, W. Zhao, J.-K. Wang, and B. Liu, "Simplified extended composite right/left-handed transmission line structure for dual-band applications," Progress In Electromagnetics Research Letters, Vol. 15, 137-144, 2010.
doi:10.2528/PIERL10050608

16. Debye, P., "Das elektromagnetische feld um ein zylinder und die theorie des regenbogens," Physik. Z., Vol. 9, 775, 1908.

17. Watson, G. N., "The diffraction of electric waves by the earth,"," Proceedings of the Royal Society of London, Vol. 95, No. 666, 83-99, 1918.
doi:10.1098/rspa.1918.0050

18. Pumplin, J., "Application of Sommerfeld-Watson transformation to an electrostatics problem," American Journal of Physics, Vol. 37, No. 7, 737-739, 1969.
doi:10.1119/1.1975793

19. Uberall, H., "Acoustic scattering from elastic cylinders and spheres: Surface waves (Watson transform) and transmitted waves," Diffusion et Diffraction, Vol. 2, No. 5, 353-387, 1985.

20. Li, M. K. and W. C. Chew, "A new Sommerfeld-Watson transformation in 3-D," IEEE Antennas and Wireless Propagation Letters, Vol. 3, 75-78, Dec. 2004.

21. Wang, H.-L., Q. Wu, X.-J. He, J. Wu, and L.-W. Li, "Computation of wave scattering problems from a spheric body: Derivation of the new Sommerfeld-Watson transformation," PIERS Online, Vol. 1, No. 6, 707-710, 2005.
doi:10.2529/PIERS110821575600

22. Valagiannopoulos, C. A., "An overview of the Watson transformation presented through a simple example," Progress In Electromagnetics Research, Vol. 75, 137-152, 2007.
doi:10.2528/PIER07052502

23. Sha, W. E. I. and W. C. Chew, "High frequency scattering from an impenetrable sphere," Progress In Electromagnetics Research, Vol. 97, 291-325, 2009.
doi:10.2528/PIER09100102

24. Inada, H., "Diffracted field computations by a series expansion," Radio Science, Vol. 10, 205-220, Feb. 1975.
doi:10.1029/RS010i002p00205

25. Sasamori, T., T. Uno, and S. Adachi, "High-frequency analysis of electromagnetic scattering due to a dielectric cylinder," Electronics and Communications in Japan Part II --- Electronics, Vol. 78, No. 4, 41-55, 1995.
doi:10.1002/ecjb.4420780405

26. Nussenzweig, H. M., "High-frequency scattering by a transparent sphere. 1. Direct reflection and transmission," Journal of Mathematical Physics, Vol. 10, No. 1, 82-124.
doi:10.1063/1.1664764

27. Nussenzweig, H. M. and , "High-frequency scattering by an impenetrable sphere," Annals of Physics, Vol. 34, 23-95, 1965.
doi:10.1016/0003-4916(65)90041-2

28. Şen, S. G. and M. Kuzuoğlu, "Analysis of high frequency plane wave scattering from a double negative cylinder via the Modiˉed Watson transformation and Debye expansion," Progress In Electromagnetics Research, Vol. 84, 55-92, 2008.
doi:10.2528/PIER08061703

29. Şen, S. G., Investigation of Electromagnetic Wave Propagation in Double Negative Metamaterials, Ph.D. Thesis, Middle East Technical University, Ankara, Türkiye, 2008, http://etd.lib.metu.edu.tr/upload/12609748/index.pdf..