2017-03-23
Almost Periodic Lumped Elements Structure Modeling Using Iterative Method: Application to Photonic Jets and Planar Lenses
By
Progress In Electromagnetics Research M, Vol. 55, 121-132, 2017
Abstract
In this work, we show that it is possible to produce a planar electromagnetic jet using a flat structure consisting of elementary cells based on lumped elements and fed with a source line. A combination of elementary cells may represent a gradient index, locating the electromagnetic energy in a small area, consisting of a few cells and having a size of about 0.75λ. The theoretical framework of the study is based on the Wave Concept Iterative Process method (WCIP) formulated in both spectral and spatial domains. An analogy with an optical model based on optical paths equality enables predicting the location of formation of this spot. The use of such a system can provide solutions for the development of new kinds of applications such as engraving sub-wavelength, data storage, improved scalpel optics for ultra-precise laser surgery, and detection of cancer.
Citation
Mohamed Karim Azizi, Henri Baudrand, Taieb Elbellili, and Ali Gharsallah, "Almost Periodic Lumped Elements Structure Modeling Using Iterative Method: Application to Photonic Jets and Planar Lenses," Progress In Electromagnetics Research M, Vol. 55, 121-132, 2017.
doi:10.2528/PIERM16121906
References

1. Chen, Z., A. Taflove, and V. Backman, "Photonic nanojet enhancement of backscattering of light by nanoparticles: A potential novel visible-light ultramicroscopy technique," Opt. Express, Vol. 12, No. 7, 1214-1220, 2004.
doi:10.1364/OPEX.12.001214        Google Scholar

2. Kim, M.-S., T. Scharf, S. M¨uhlig, C. Rockstuhl, and H. P. Herzig, "Engineering photonic nanojets," Opt. Express, Vol. 19, No. 11, 10206, 2011.
doi:10.1364/OE.19.010206        Google Scholar

3. Wang, Z., W. Guo, L. Li, B. Luk'yanchuk, A. Khan, Z. Liu, Z. Chen, and M. Hong, "Optical virtual imaging at 50 nm lateral resolution with a white-light nanoscope," Nat. Commun., Vol. 2, 218, 2011.
doi:10.1038/ncomms1211        Google Scholar

4. Dantham, V. R., P. B. Bisht, and C. K. R. Namboodiri, "Enhancement of Raman scattering by two orders of magnitude using photonic nanojet of a microsphere," Journal of Applied Physics, Vol. 109, No. 10, 2011.
doi:10.1063/1.3590156        Google Scholar

5. Kong, S.-C., A. Sahakian, A. Taflove, and V. Backman, "Photonic nanojet-enabled optical data storage," Opt. Express, Vol. 16, No. 18, 13713, 2008.
doi:10.1364/OE.16.013713        Google Scholar

6. Heifetz, A., S. C. Kong, A. V. Sahakian, A. Taflove, and V. Backman, "Photonic nanojets," Journal of Computational and Theoretical Nanoscience, Vol. 6, No. 9, 1979-1992, 2009.
doi:10.1166/jctn.2009.1254        Google Scholar

7. Chen, Z., A. Taflove, and V. Backman, "Photonic nanojet enhancement of backscattering of light by nanoparticles: A potential novel visible-light ultramicroscopy technique," Opt. Express, Vol. 12, No. 7, 1214-1220, 2004.
doi:10.1364/OPEX.12.001214        Google Scholar

8. Li, X., Z. Chen, A. Taflove, and V. Backman, "Optical analysis of nanoparticles via enhanced backscattering facilitated by 3-D photonic nanojets," Opt. Express, Vol. 13, No. 2, 526-533, 2005.
doi:10.1364/OPEX.13.000526        Google Scholar

9. Lecler, S., Y. Takakura, and P. Meyrueis, "Properties of a three-dimensional photonic jet," Opt. Lett., Vol. 30, No. 19, 2641-2643, 2005.
doi:10.1364/OL.30.002641        Google Scholar

10. Itagi, A. V. and W. A. Challener, "Optics of photonic nanojets," J. Opt. Soc. Am. A. Opt. Image Sci. Vis., Vol. 22, No. 12, 2847-58, 2005.
doi:10.1364/JOSAA.22.002847        Google Scholar

11. Ammar, N., T. Aguili, H. Baudrand, B. Sauviac, and B. Ounnas, "Wave concept iterative process method for electromagnetic or photonic jets: Numerical and experimental results," IEEE Transactions on Antennas and Propagation, Vol. 63, No. 11, 1, 2015.
doi:10.1109/TAP.2015.2486800        Google Scholar

12. Ju, D., H. Pei, Y. Jiang, and X. Sun, "Controllable and enhanced nanojet effects excited by surface plasmon polariton," Appl. Phys. Lett., Vol. 102, 171109, 2013.
doi:10.1063/1.4802958        Google Scholar

13. Khaleque, A. and Z. Li, "Tailoring the properties of photonic nanojets by changing the material and geometry of the concentrator," Progress In Electromagnetics Research Letters, Vol. 48, 7-13, 2014.
doi:10.2528/PIERL14052108        Google Scholar

14. Chen, Z., X. Li, A. Taflove, and V. Backman, "Backscattering enhancement of light by nanoparticles positioned in localized optical intensity peaks," Appl. Opt., Vol. 45, No. 4, 633-638, 2006.
doi:10.1364/AO.45.000633        Google Scholar

15. Godi, G., R. Sauleau, and D. Thouroude, "Performance of reduced size substrate lens antennas for millimeter-wave communications," IEEE Trans. Antennas Propag., Vol. 53, No. 4, 1278-1286, 2005.
doi:10.1109/TAP.2005.844420        Google Scholar

16. Boriskin, A. V., A. Rolland, R. Sauleau, and A. I. Nosich, "Assessment of FDTD accuracy in the compact hemielliptic dielectric lens antenna analysis," IEEE Trans. Antennas Propag., Vol. 56, No. 3, 758-764, 2008.
doi:10.1109/TAP.2008.916950        Google Scholar

17. Azizi, M. K., N. Sboui, F. Choubani, and A. Gharsallah, "A novel design of photonic band gap by F.W.C.I.P method," 2008 2nd International Conference on Signals, Circuits and Systems, SCS 2008, 2008.        Google Scholar

18. Latrach, L., M. Karim Azizi, A. Gharsallah, and H. Baudrand, "Study of one dimensional almost periodic structure using a novel WCIP method," International Journal on Communications Antenna and Propagation (I.Re.C.A.P.), Vol. 4, No. 6, December 2014, ISSN 2039–5086.        Google Scholar

19. Baudrand, H. and R. S. N'gongo, "Applications of wave concept iterative procedure," Recent Res. Devel. Microwave Theory Tech., Vol. 1, 187-197, 1999.        Google Scholar

20. Pendry, J. B., A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microw. Theory Tech., Vol. 47, No. 11, 2075-2084, 1999.
doi:10.1109/22.798002        Google Scholar

21. Baudrand, H., M. K. Azizi, and M. Titaouine, General Principles of the Wave Concept Iterative Process, 1-42, John Wiley & Sons, Inc, September 2016.

22. Baudrand, H., N. Raveu, and M. Titaouine, The Wave Concept in Electromagnetism and Circuits: Theory and Applications, ISTE Ltd 2016, ISTE Ltd and John Wiley & Sons, Inc, September 2016.
doi:10.1002/9781119332701

23. Azizi, M. K., L. Latrach, N. Raveu, A. Gharsallah, and H. Baudrand, "A new approach of almost periodic lumped elements circuits by an iterative method using auxiliary sources," Am. J. Appl. Sci., Vol. 10, No. 11, 1457-1472, 2013.
doi:10.3844/ajassp.2013.1457.1472        Google Scholar