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.
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.
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