Vol. 142
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]
2013-10-18
Circuit and Multipolar Approaches to Investigate the Balance of Powers in 2D Scattering Problems (Invited Paper)
By
Progress In Electromagnetics Research, Vol. 142, 799-823, 2013
Abstract
Circuit and multipolar approaches are presented to investigate the correlation between absorption and scattering processes in 2D problems. This investigation was inspired by earlier works of Prof.R.E. Collin, which pointed out deficiencies of the Th'evenin/Norton circuit models to evaluate the scattered and absorbed powers associated with receiving antennas and, thus, encouraged research on new analytical tools to address these problems. Power balance results are obtained with both circuit and multipolar approaches that are fully consistent. This analysis serves to illustrate how the correlation between absorption and scattering processes results in upper bounds for their power magnitudes, as well as stringent design trade-offs in both far-field and near-field source and scattering technologies.
Citation
Inigo Liberal, Inigo Ederra, Ramon Gonzalo, and Richard Ziolkowski, "Circuit and Multipolar Approaches to Investigate the Balance of Powers in 2D Scattering Problems (Invited Paper)," Progress In Electromagnetics Research, Vol. 142, 799-823, 2013.
doi:10.2528/PIER13081408
References

1. Alu, A. and N. Engheta, "Cloaking asensor," Phys. Rev. Lett., Vol. 102, No. 23, 233901, 2009.
doi:10.1103/PhysRevLett.102.233901

2. Vehmas, J., P. Alitalo, and S. A. Tretyakov, "Experimental demonstration of antenna blockage reduction with a transmission-line cloak," IET Microwaves, Antennas Propag., Vol. 6, No. 7, 830-834, 2012.
doi:10.1049/iet-map.2011.0509

3. Liberal, I., I. Ederra, R. Gonzalo, and R. W. Ziolkowski, "A multipolar analysis of near-field absorption and scattering processes," IEEE Trans. Antennas Propag., Vol. 61, No. 10, 5184-5199, Oct. 2013.
doi:10.1109/TAP.2013.2272453

4. Montgomery, C. G, R. H. Dicke, and E. M. Purcell, "Principles of microwave circuits," Radiutiotz Laboratory Series, Vol. 8, 317-333, McGraw-Hill, New York, 1948.

5. Kahn, W. K. and H. Kurss, "Minimum scattering antennas," IEEE Trans. Antennas Propag., Vol. 13, No. 5, 671-675, Sep. 1965.
doi:10.1109/TAP.1965.1138529

6. Green, R. B., "Scattering from conjugate-matched antennas," IEEE Trans. Antennas Propag., Vol. 14, No. 1, 17-22, Jan. 1966.
doi:10.1109/TAP.1966.1138619

7. Wasylkiwskyj, W. and W. K. Kahn, "Theory of mutual coupling among minimum-scattering antennas," IEEE Trans. Antennas Propag., Vol. 18, No. 2, 204-216, Mar. 1970.
doi:10.1109/TAP.1970.1139649

8. Rogers, P. G., "Application of the minimum scattering antenna theory to mismatched antennas," IEEE Trans. Antennas Propag., Vol. 34, No. 10, 1223-1228, Oct. 1986.
doi:10.1109/TAP.1986.1143747

9. Munk, B. A., Finite Antenna Arrays and FSS, John Wiley & Sons, New York, 2003.

10. Love, A. W., "Comment: On the equivalent circuit of a receiving antenna," IEEE Antennas Propag. Mag., Vol. 44, No. 5, 124-126, 2002.
doi:10.1109/MAP.2002.1077791

11. Van Bladel, J., "On the equivalent circuit of a receiving antenna," IEEE Antennas Propag. Mag., Vol. 44, No. 1, 164-165, 2002.
doi:10.1109/74.997959

12. Collin, R. E., "Limitations of the Thevenin and Norton equivalent circuits for a receiving antenna," IEEE Antennas Propag. Mag., Vol. 45, No. 2, 119-124, 2003.
doi:10.1109/MAP.2003.1203128

13. Love, A. W., "Comment: Limitations of the Thevenin and Norton equivalent circuits for a receiving antenna," IEEE Antennas Propag. Mag., Vol. 45, No. 4, 98-99, Aug. 2003.
doi:10.1109/MAP.2003.1241317

14. Collin, R. E., "Remarks on: Limitations of the Thevenin and Norton equivalent circuits for a receiving antenna," IEEE Antennas Propag. Mag., Vol. 45, No. 4, 99-100, Aug. 2003.
doi:10.1109/MAP.2003.1241318

15. Andersen, J. B. and R. G. Vaughan, "Transmitting, receiving, and scattering properties of antennas," IEEE Antennas Propag. Mag., Vol. 45, No. 4, 93-98, Aug. 2003.
doi:10.1109/MAP.2003.1241316

16. Pozar, D. M., "Scattered and absorbed powers in receiving antennas," IEEE Antennas Propag. Mag., Vol. 46, No. 1, 144-145, 145.
doi:10.1109/MAP.2004.1296172

17. Balanis, C. A., Antenna Theory: Analysis and Design, 3rd Edition, John Wiley & Sons, New York, 2005.

18. Kraus, J. D., Antennas, 2nd Edition, McGraw Hill, New York, 1988.

19. Aharoni, I., Antennae, an Introduction to Their Theory, 164-176, Clarendon Press, Oxford, 1946.

20. Andersen, J. B. and A. Frandsen, "Absorption efficiency of receiving antennas," IEEE Trans. Antennas Propag., Vol. 53, No. 9, 2843-2849, Sep. 2005.
doi:10.1109/TAP.2005.854532

21. Kwon, D. H. and D. M. Pozar, "Optimal characteristics of an arbitrary receive antenna," IEEE Trans. Antennas Propag., Vol. 57, No. 12, 3720-3727, 2009.
doi:10.1109/TAP.2009.2025975

22. Liberal, I. and R. W. Ziolkowski, "Analytical and equivalent circuit models to elucidate power balance in scattering problems," IEEE Trans. Antennas Propag., Vol. 61, No. 5, 2714-2726, 2013.
doi:10.1109/TAP.2013.2242033

23. Alu, A. and S. Maslovski, "Power relations and a consistent analytical model for receiving wire antennas," IEEE Trans. Antennas Propag., Vol. 58, No. 5, 1436-1448, 2010.
doi:10.1109/TAP.2010.2044354

24. Newton, R. G., "Optical theorem and beyond," Am. J. Phys., Vol. 44, No. 7, 639-642, 1976.
doi:10.1119/1.10324

25. Gustafsson, M., J. B. Andersen, G. Kristensson, and G. F. Pedersen, "Forward scattering of loaded and unloaded antennas," IEEE Trans. Antennas Propag, Vol. 60, No. 12, 5663-5668, 2012.
doi:10.1109/TAP.2012.2214191

26. Carney, P., J. Schotland, and E. Wolf, "Generalized optical theorem for reflection, transmission, and extinction of power for scalar fields," Phys. Rev. E, Vol. 70, 036611, 2004.
doi:10.1103/PhysRevE.70.036611

27. Marengo, E. A., "A new theory of the generalized optical theorem in anisotropic media," IEEE Trans. Antennas Propag., Vol. 61, No. 4, 2164-2179, Apr. 2013.
doi:10.1109/TAP.2012.2233702

28. Harrington, R. F., Time-harmonic Electromagnetic Fields, McGraw-Hill, New York, NY, USA, 1961.

29. Balanis, C. A., Advanced Engineering Electromagnetics, Wiley, New York, NY, USA, 2012.

30. Belov, P. A., C. R. Simovski, and S. A. Tretyakov, "Two-dimensional electromagnetic crystals formed by reactively loaded wires," Phys. Rev. E, Vol. 66, 036610, 2002.
doi:10.1103/PhysRevE.66.036610

31. Belov, P. A., S. A. Tretyakov, and A. J. Viitanen, "Dispersion and reflection properties of artificial media formed by regular lattices of ideally conducting wires," Journal of Electromagnetic Waves and Applications, Vol. 16, No. 8, 1153-1170, 2002.
doi:10.1163/156939302X00688

32. Liberal, I., I. S. Nefedov, I. Ederra, R. Gonzalo, and S. A. Tretyakov, "Electromagnetic response and homogenization of grids of ferromagnetic microwires," J. Appl. Phys., Vol. 110, No. 6, 064909, Sep. 2011.
doi:10.1063/1.3631062

33. Liberal, I., I. S. Nefedov, I. Ederra, R. Gonzalo, and S. A. Tretyakov, "On the effective permittivity of arrays of ferromagnetic wires," J. Appl. Phys., Vol. 110, No. 10, 104902, Nov. 2011.
doi:10.1063/1.3658844

34. Liberal, I., I. Ederra, C. Gomez-polo, A. Labrador, J. I. Perez-landazabal, and R. Gonzalo, "A comprehensive analysis of the absorption spectrum of conducting ferromagnetic wires," IEEE Trans. Microwave Theory Tech., Vol. 60, No. 7, 2055-2065, Jul. 2012.
doi:10.1109/TMTT.2012.2195022

35. Collin, R. E., Field Theory of Guided Waves, 2nd Edition, IEEE Press, New York, 1991.