volume | PIER Journals

Abstract

In the 150 years that scientists and engineers have used Maxwell's equations to describe electromagnetic phenomena, canonical scattering and radiating problems have played a very important role, providing explanations of and insights into their underlying physics. With the same intent, a variety of active coated nano-particles are examined here theoretically with regard to their ability to effectively enhance or jam(cloak) the responses of quantum emitters, e.g., fluorescing molecules, and nano-antennas to an observer located in their far-field regions. The investigated spherical particles consist of a gain-impregnated silica nano-core covered with a nano-shell of a specific plasmonic material. Attention is devoted to the influence of the over-all size of these particles and their material composition on the obtained levels of active enhancement or jamming. Silver, gold and copper are employed as their nano-shells. The over-all diameters of the investigated coated nano-particles are taken to be 20 nm, 40 nm, and 60 nm, while maintaining the same ratio of the core radius and shell thickness. It is shown that the jamming levels, particularly when several emitters are present, are significantly larger for particles of larger sizes. These configurations are also shown to lead to the largest enhancement levels of the surrounding quantum emitters. Furthermore, for a fixed particle size and for a gain constant that produces the largest enhancement peak at optical wavelengths, it is demonstrated that these larger levels are most notable when the nano-shell is gold.

1. Cai, W. and V. Shalaev, Optical Metamaterials, Springer, Berlin, Germany, 2010.

2. Gordon, J. A. and R. W. Ziolkowski, "CNP optical metamaterials," Opt. Express, Vol. 16, 6692-6716, Apr. 2008.

3. Bharadwaj, P., B. Deutsch, and L. Novotny, "Optical antennas," Adv. Opt. Photon., Vol. 1, No. 3, 438-483, 2009.

4. Agio, M. and A. Alu, Optical Antennas, Cambridge University Press, New York, 2013.

5. Klar, T. A., A. V. Kildishev, V. P. Drachev, and V. M. Shalaev, "Negative-index metamaterials: Going optical," IEEE J. Sel. Topics Quantum Electron., Vol. 12, No. 6, 1106-1115, Nov./Dec. 2006.

6. Gordon, J. A. and R. W. Ziolkowski, "The design and simulated performance of a coated nano-particle laser," Opt. Express, Vol. 15, No. 5, 2622-2653, Mar. 2007.

7. Gordon, J. A. and R. W. Ziolkowski, "Investigating functionalized active coated nano-particles for use in nano-sensing applications," Opt. Express, Vol. 15, No. 20, 12562-12582, Oct. 2007.

8. Xiao, S., V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, "Loss-free and active optical negative-index metamaterials," Nature, Vol. 466, No. 7307, 735-738, Aug. 2010.

9. De Luca, A., M. P. Grzelczak, I. Pastoriza-Santos, L. M. Liz-Marz´an, M. La Deda, M. Striccoli, and G. Strangi, "Dispersed and encapsulated gain medium in plasmonic nanoparticles: A multipronged approach to mitigate optical losses," ACS Nano, Vol. 5, No. 7, 5823-5829, 2011.

10. Klopfer, M. and R. K. Jain, "Plasmonic quantum dots for nonlinear optical applications," Opt. Mat. Express, Vol. 1, No. 7, 1353-1366, Oct. 2011.

11. Campione, S., M. Albani, and F. Capolino, "Complex modes and near-zero permittivity in 3D arrays of plasmonic nanoshells: Loss compensation using gain," Opt. Mat. Express, Vol. 1, No. 6, 1077-1089, Oct. 2011.

12. Pan, J., Z. Chen, J. Chen, P. Zhan, C. J. Tang, Z. L. Wang, and , "Low-threshold plasmonic lasing based on high-Q dipole void mode in a metallic nanoshell," Opt. Lett., Vol. 37, No. 7, 1181-1183, Apr. 2012.

13. Li, Z.-Y., "Metal nanoparticles with gain toward single-molecule detection by surface-enhanced raman scattering," Nano Lett., Vol. 10, 243-249, 2010, doi: 10.1021/nl903409x.

14. Liu, S.-Y., J. Li, F. Zhou, L. Gan, and Z.-Y. Li, "Efficient surface plasmon amplification from gain-assisted gold nanorods," Opt. Lett., Vol. 36, No. 7, 9592-10146, Apr. 2011.

15. Alu, A. and N. Engheta, "Achieving transparency with plasmonic and metamaterial coatings," Phys. Rev. E, Vol. 72, 017723, Jul. 2005.

16. Strangi, G., A. De Luca, S. Ravaine, M. Ferrie, and R. Bartolino, "Gain induced optical transparency in metamaterials," Appl. Phys. Lett., Vol. 98, No. 25, 251912, Jun. 2011.

17. Chew, H. W., P. J. McNulty, and M. Kerker, "Model for a Raman and fluorescent scattering by molecules embedded in small particles," Phys. Rev. A, Vol. 13, 396-404, 1976.

18. Gordon, J. A. and R. W. Ziolkowski, "Investigating functionalized active coated nano-particles for use in nano-sensing applications," Opt. Express, Vol. 15, 12562-12582, Oct. 2007.

19. Alexopoulos, N. G. and N. K. Uzungolu, "Electromagnetic scattering from active objects: Invisible scatterers," Appl. Opt., Vol. 17, 235-232, 1978.

20. Alu, A. and N. Engheta, "Plasmonic and metamaterial cloaking: Physical mechanisms and potentials," J. Opt. A: Pure Appl. Opt., Vol. 10, 2008, doi: 10.1088/1464-4258/10/9/093002.

21. Xu, Q., F. Liu, W. Meng, and Y. Huang, "Plasmonic core-shell metal-organic nanoparticles enhanced dye-sensitized solar cells," Opt. Express, Vol. 20, No. 106, A898-A907, Nov. 2012.

22. Alu, A. and N. Engheta, "Enhanced directivity from subwavelength infrared/optical nano-antennas loaded with plasmonic materials or metamaterials," IEEE Trans. Antennas Propagat., Vol. 55, 3027-3039, Nov. 2007.

23. Hirsch, L. R., A. M. Gobin, A. R. Lowery, F. Tam, R. A. Drezek, N. J. Halas, and J. L. West, "Metal nanoshells," Ann. Biomed. Eng., Vol. 34, No. 1, 15-22, Jan. 2006.

24. Halas, N. J., "Plasmonics: An emerging field fostered by nano letters," Nano. Lett., Vol. 10, 3816-3822, Sep. 2010.

25. Choi, I. and Y. Choi, "Plasmonic nanosensors: Review and prospect," IEEE J. Selected Top. Quantum Electron., Vol. 18, No. 3, 1110-1121, May/Jun. 2012.

26. Arslanagic, S., R. W. Ziolkowski, and O. Breinbjerg, "Radiation properties of an electric Hertzian dipole located near-by concentric metamaterial spheres," Radio Sci., Vol. 42, RS6S16, Nov. 2007, doi:10.1029/2007RS003663.

27. Arslanagic, S. and R. W. Ziolkowski, "Active coated nano-particle excited by an arbitrarily located electric Hertzian dipole — Resonance and transparency effects," J. Opt. A, Vol. 12, 024014, Feb. 2010.

28. Arslanagic, S. and R. W. Ziolkowski, "Active coated nano-particles: Impact of plasmonic material choice," Appl. Phys. A, Vol. 103, 795-798, Jun. 2011.

29. Arslanagic, S. and R. W. Ziolkowski, "Jamming of quantum emitters by active coated nano-particles," IEEE J. Selected Top. Quantum Electron., Vol. 19, No. 3, 4800506, May/Jun. 2013.

30. Chance, R. R., A. Prock, and R. Silbey, "Molecular fluorescence and energy transfer near interfaces," Adv. Chem. Phys., Vol. 37, 1-65, 1978.

31. Ziolkowski, R. W. and A. D. Kipple, "Reciprocity between the effects of resonant scattering and enhanced radiated power by electrically small antennas in the presence of nested metamaterial shells," Phys. Rev. E, Vol. 72, 036602, Sep. 2005.

32. Ziolkowski, R. W. and A. Erentok, "Metamaterial-based efficient electrically small antennas," IEEE Trans. Antennas Propagat., Vol. 54, 2113-2130, Jul. 2006.

33. Erentok, A. and R. W. Ziolkowski, "A hybrid optimization method to analyze metamaterial-based electrically small antennas," IEEE Trans. Antennas Propag., Vol. 55, No. 3, 731-741, Mar. 2007.

34. Ziolkowski, R. W. and A. Erentok, "At and beyond the Chu limit: Passive and active broad bandwidth metamaterial-based efficient electrically small antennas," IET Microwaves, Antennas & Propagation, Vol. 1, No. 1, 116-128, Feb. 2007.

35. Purcell, E. M., "Spontaneous emission probabilities at radio frequencies," Phys. Rev., Vol. 69, 681, Jun. 1946.

36. Novotny, L. and B. Hecht, Principles of Nano-optics, Cambridge University Press, New York, 2012.

37. Noginov, M. A., G. Zhu, A. M. Belgrave, R. Bakker, V. M. Shalaev, E. E. Narimanov, S. Stout, E. Herz, T. Suteewong, and U. Wiesner, "Demonstration of a spaser-based nanolaser," Nature Photon., Vol. 460, 1110-1112, Aug. 2009.

38. Noginov, M. A., G. Zhu, V. P. Drachev, and V. M. Shalaev, "Surface plasmons and gain media," Nanophotonics with Surface Plasmons, Chap. 5, 141-169, Elsevier, 2007.

39. Sivan, Y., S. Xiao, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, "Frequency-domain simulations of anegative-index material with embedded gain," Opt. Express., Vol. 17, 24060-24074, Dec. 2009.

40. Fang, A., T. Koschny, and C. M. Soukoulis, "Lasing in metamaterial nanostructures," J. Opt., Vol. 12, 024013, Jan. 2010.

41. Campbell, S. D. and R. W. Ziolkowski, "Impact of strong localization of the incident power density on the nano-ampliflier characteristics of active coated nano-particles," Opt. Commun., Vol. 285, No. 16, 3341-3352, 2012.

42. Li, D. B. and C. Z. Ning, "Giant modal gain, ampliflied surface plasmon-polariton propagation, and slowing down of energy velocity in a metal-semiconductor-metal structure," Phys. Rev. B, Vol. 80, 153304, Oct. 2009.

43. Hill, M. T., "Status and prospects for metallic and plasmonic nano-lasers [invited]," J. Opt. Soc. Am. B, Vol. 27, B36-B44, Nov. 2010.

44. Campbell, S. D. and R. W. Ziolkowski, "The performance of active coated nanoparticles based on quantum dot gain media," Adv. Optoelectron., Vol. 2012, Article ID 368786, 2012.

45. Arslanagic, S. and R. W. Ziolkowski, "Nano-sensing of the orientation of fluorescing molecules with active coated nano-particles," Photonics and Nanostructures — Fundamentals and Applications, Feb. 2014.

Dr. Samel Arslanagic

Dr. Richard Ziolkowski