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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 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
http://www.jpier.org/PIER/pier.php?paper=13081408
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.