Vol. 89
Latest Volume
All Volumes
PIERB 106 [2024] PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2020-10-12
Theory of Electromagnetic Radiation in Nonlocal Metamaterials --- Part II: Applications
By
Progress In Electromagnetics Research B, Vol. 89, 87-109, 2020
Abstract
We deploy the general momentum space theory developed in Part I in order to explore nonlocal radiating systems utilizing isotropic spatially-dispersive metamaterials. The frequency-dependent angular radiation power density is derived for both transverse and longitudinal external sources, providing detailed expressions for some special but important cases like time-harmonic- and rectangular-pulse-excited small dipoles embedded into such isotropic metamaterial domains. The fundamental properties of dispersion and radiation functions for some of these domains are developed in examples illustrating the features in nonlocal radiation phenomena, including differences in bandwidth and directivity performance, novel virtual array effects, and others. In particular, we show that by a proper combination of transverse and longitudinal modes, it is possible to attain perfect isotropic radiators in domains excited by small sinusoidal dipoles. The directivity of a nonlocal small antenna is also shown to increase by possibly four times its value in conventional local domains if certain design conditions are met.
Citation
Said Mikki, "Theory of Electromagnetic Radiation in Nonlocal Metamaterials --- Part II: Applications," Progress In Electromagnetics Research B, Vol. 89, 87-109, 2020.
doi:10.2528/PIERB20050101
References

1. Mikki, S., "Theory of electromagnetic radiation in nonlocal metamaterials: A momentum space approach — Part I (submitted)," Progress In Electromagnetics Research B, Vol. 89, 63-86, 2020.
doi:10.2528/PIERB20043010

2. Ginzburg, V. L. The Propagation of Electromagnetic Waves in Plasmas, Pergamon Press, Oxford, New York, 1970.

3. Landau, L. D., Electrodynamics of Continuous Media, Butterworth-Heinemann, Oxford, England, 1984.

4. Ginzburg, V. L., Theoretical Physics and Astrophysics, Pergamon Press, Oxford, New York, 1979.

5. Agranovich, V. and V. Ginzburg, Crystal Optics with Spatial Dispersion, and Excitons, Springer Berlin Heidelberg Imprint Springer, Berlin, Heidelberg, 1984.
doi:10.1007/978-3-662-02406-5

6. Halevi, P., Spatial Dispersion in Solids and Plasmas, North-Holland, Amsterdam, New York, 1992.

7. Ilinskii, Y. A. and L. Keldysh, Electromagnetic Response of Material Media, Springer Science+Business Media, New York, 1994.
doi:10.1007/978-1-4899-1570-2

8. Sitenko, A. G., Electromagnetic Fluctuations in Plasma, Academic Press, 1967.

9. Fabrizio, M. and A. Morro, Electromagnetism of Continuous Media: Mathematical Modelling and Applications, Oxford University Press, Oxford, 2003.
doi:10.1093/acprof:oso/9780198527008.001.0001

10. Schelkunoff, S. A. and H. T. Friss, Antennas: Theory and Practice, Chapman & Hall, London, New York, 1952.

11. Balanis, C. A., Antenna Theory: Analysis and Design, 4th Ed., Inter-Science, Wiley, 2015.

12. Mikki, S. and A. Kishk, "Theory and applications of infinitesimal dipole models for computational electromagnetics," IEEE Transactions on Antennas and Propagation, Vol. 55, No. 5, 1325-1337, May 2007.
doi:10.1109/TAP.2007.895625

13. Mikki, S. and Y. Antar, "Near-field analysis of electromagnetic interactions in antenna arrays through equivalent dipole models," IEEE Transactions on Antennas and Propagation, Vol. 60, No. 3, 1381-1389, March 2012.
doi:10.1109/TAP.2011.2180318

14. Clauzier, S., S. Mikki, and Y. Antar, "Generalized methodology for antenna design through optimal infinitesimal dipole model," 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), 1264-1267, September 2015.
doi:10.1109/ICEAA.2015.7297321

15. Mikki, S. and Y. Antar, "On the fundamental relationship between the transmitting and receiving modes of general antenna systems: A new approach," IEEE Antennas and Wireless Propagation Letters, Vol. 11, 232-235, 2012.
doi:10.1109/LAWP.2012.2188490

16. Zeidler, E., Quantum Field Theory II: Quantum Electrodynamics, Springer, 2006.

17. Godement, R., Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions, Springer-Verlag, Berlin, 2005.

18. Mikki, S. M. and A. A. Kishk, "Electromagnetic wave propagation in nonlocal media: Negative group velocity and beyond," Progress In Electromagnetics Research B, Vol. 14, 149-174, 2009.
doi:10.2528/PIERB09031911

19. Mikki, S. and Y. Antar, "On electromagnetic radiation in nonlocal environments: Steps toward a theory of near field engineering," 2015 9th European Conference on Antennas and Propagation (EuCAP), 1-5, April 2015.

20. Mikki, S. and Y. Antar, New Foundations for Applied Electromagnetics: The Spatial Structure of Fields, Artech House, London, 2016.

21. Mikki, S., "Exact derivation of the radiation law of antennas embedded into generic nonlocal metamaterials: A momentum-space approach," 2020 14th European Conference on Antennas and Propagation (EuCAP), 1-5, 2020.

22. Lathi, B. P. and Z. Ding, Modern Digital and Analog Communication Systems, Oxford University Press, New York, 2019.

23. Sarkar, D., S. Mikki, K. V. Srivastava, and Y. Antar, "Dynamics of antenna reactive energy using time-domain IDM method," IEEE Transactions on Antennas and Propagation, Vol. 67, No. 2, 1084-1093, Feb. 2019.
doi:10.1109/TAP.2018.2880047

24. Schwinger, J., et al., Classical Electrodynamics, Perseus Books, Mass, 1998.