2025-02-16
Lensing by a Single Interface: Perfect Focus Point Rather Than a Drain Point
By
Progress In Electromagnetics Research Letters, Vol. 125, 33-36, 2025
Abstract
An exact analytical solution is obtained for the problem of finding the field of a linear electric current located near the interface between half-spaces filled with ordinary and perfectly matched double-negative media. To achieve this, a novel approach is introduced that, for the first time, enabled the correct analytic continuation of the function describing the field into the entire half-space filled with a double-negative medium. The analysis of this solution shows that the current source field, upon reaching the point of perfect focusing, passes through it and then moves off to infinity, rather than disappearing at that point, as claimed in earlier works.
Citation
Leonid Pazynin, Kostyantyn Sirenko, and Vadym Pazynin, "Lensing by a Single Interface: Perfect Focus Point Rather Than a Drain Point," Progress In Electromagnetics Research Letters, Vol. 125, 33-36, 2025.
doi:10.2528/PIERL24112307
References

1. Guo, Zhiwei, Xian Wu, Yong Sun, Haitao Jiang, Ya-Qiong Ding, Yunhui Li, Yewen Zhang, and Hong Chen, "Anomalous broadband Floquet topological metasurface with pure site rings," Advanced Photonics Nexus, Vol. 2, No. 1, 016006, Jan. 2023.        Google Scholar

2. Guo, Zhiwei, Haitao Jiang, Kejia Zhu, Yong Sun, Yunhui Li, and Hong Chen, "Focusing and super-resolution with partial cloaking based on linear-crossing metamaterials," Physical Review Applied, Vol. 10, No. 6, 064048, Dec. 2018.        Google Scholar

3. Chen, H., B.-I. Wu, and J. A. Kong, "Review of electromagnetic theory in left-handed materials," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 15, 2137-2151, 2006.        Google Scholar

4. Kong, J. A., "Electromagnetic wave interaction with stratified negative isotropic media," Progress In Electromagnetics Research, Vol. 35, 1-52, 2002.
doi:10.2528/PIER01082101        Google Scholar

5. Chew, Weng Cho, "Some reflections on double negative materials," Progress In Electromagnetics Research, Vol. 51, 1-26, 2005.        Google Scholar

6. Pacheco, Joe, "Theory and application of left-handed metamaterials," Ph.D. dissertation, Massachusetts Institute of Technology, Cambridge, MA, USA, 2004.

7. Culhaoglu, Ali E., Andrey V. Osipov, and Peter Russer, "Imaging by a double negative metamaterial slab excited with an arbitrarily oriented dipole," Radio Science, Vol. 49, No. 1, 68-79, 2014.        Google Scholar

8. Rosenblatt, Gilad and Meir Orenstein, "Perfect lensing by a single interface: Defying loss and bandwidth limitations of metamaterials," Physical Review Letters, Vol. 115, No. 19, 195504, 2015.        Google Scholar

9. Keleshteri, Marzieh Eini, Vladimir I. Okhmatovski, and Joe Lovetri, "Analytic sinusoidal steady-state electromagnetic field expressions for the ideal Veselago lens," IEEE Open Journal of Antennas and Propagation, Vol. 2, 1057-1070, Oct. 2021.        Google Scholar

10. Pazynin, Leonid A., "Pulsed radiation from a line electric current near a planar interface: A novel technique," IEEE Transactions on Antennas and Propagation, Vol. 59, No. 12, 4733-4739, Dec. 2011.        Google Scholar

11. Felsen, L. and N. Marcuvitz, Radiation and Scattering of Waves, Vol. 31, Prentice-Hall, 1973.

12. Chew, W., Waves and Fields in Inhomogenous Media, Vol. 16, John Wiley & Sons, 1999.
doi:10.1109/9780470547052

13. Korn, G. and T. Korn, Mathematical Handbook for Scientists and Engineers, Vol. 25, McGraw-Hill, 1961.