volume | PIER Journals

Abstract

There has been a surge of interest in the subwavelength confinement effects of the electromagnetic fields. Based on these effects, one can obtain new behaviors of the near- and farfield radiation. It is well known that in optics, the subwavelength confinement can be obtained due to surface-plasmon (or electrostatic) oscillations in metal structures. This paper is a review of recent studies on the subwavelength confinement in microwaves due to magnetic-dipolarmode (MDM) [or magnetostatic (MS)] oscillations in small ferrite samples. MDM oscillations in a mesoscopic ferrite-disk particle are quantized oscillations, which are characterized by energy eigenstates. The field structures are distinguished by power-flow vortices and non-zero helicity. Also in vacuum, the near fields originated from MDM particles are designated by topologically distinctive power-flow vortices, non-zero helicity, and a torsion degree of freedom. To differentiate such field structures from regular electromagnetic (EM) field structures, we term them as magnetoelectric (ME) fields. In a pattern of the microwave field scattered by a MDM ferrite disk and MDM-disk arrays, one can observe rotating topological-phase dislocations. This opens a perspective for creation of engineered electromagnetic fields with unique symmetry properties. In the near-field applications, we propose novel microwave sensors for material characterization, biology, and nanotechnology. Strong energy concentration and unique topological structures of the near fields originated from the MDM resonators allow effective measuring chiral properties of materials in microwaves. Generating far-field orbital angular momenta from near-field microwave chirality of MDM structures can be a subject of a great interest. Realization of such vortex generators opens perspective for novel microwave systems with topological-phase modulation.

1. Jackson, J. D., "Classical Electrodynamics," Wiley, 1975. Google Scholar

2. Landau, L. D. and E. M. Lifshitz, "Electrodynamics of Continuous Media,", 1984. Google Scholar

3. Barnes, W. L., A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature, Vol. 424, 824-830, 2003.
doi:10.1038/nature01937 Google Scholar

4. Lee, B., I.-M. Lee, S. Kim, D.-H. Oh, and L. Hesselink, "Review on subwavelength confinement of light with plasmonics," J. Mod. Opt., Vol. 57, No. 16, 1479-1497, 2010.
doi:10.1080/09500340.2010.506985 Google Scholar

5. Ahn, W., S. V. Boriskina, Y. Hong, and B. M. Reinhard, "Electromagnetic field enhancement and spectrum shaping through plasmonically integrated optical vortices," Nano Lett., Vol. 12, 219-227, 2012.
doi:10.1021/nl203365y Google Scholar

6. Ruting, F., A. I. Fernandez-Domnguez, L. Martin-Moreno, and F. J. Garcia-Vidal, "Subwavelength chiral surface plasmons that carry tuneable orbital angular momentum," Phys. Rev. B, Vol. 86, 075437, 2012.
doi:10.1103/PhysRevB.86.075437 Google Scholar

7. Tang, Y. and A. E. Cohen, "Optical chirality and its interaction with matter," Phys. Rev. Lett., Vol. 104, 163901, 2010.
doi:10.1103/PhysRevLett.104.163901 Google Scholar

8. Hendry, E., T. Carpy, J. Johnston, M. PoplandR. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, and M. Kadodwala, "Ultrasensitive detection and characterization of biomolecules using superchiral fields," Nat. Nanotechnol., Vol. 5, 783-787, 2010.
doi:10.1038/nnano.2010.209 Google Scholar

9. Hentschel, M., M. Schaferling, T. Weiss, N. Liu, and H. Giessen, "Three-dimensional chiral plasmonic oligomers," Nano Lett., Vol. 12, 2542-2547, 2012.
doi:10.1021/nl300769x Google Scholar

10. Gorodetski, Y., A. Drezet, C. Genet, and T. W. Ebbesen, "Generating far-field orbital angular momenta from near-field optical chirality," Phys. Rev. Lett., Vol. 110, 203906, 2013.
doi:10.1103/PhysRevLett.110.203906 Google Scholar

11. Miroshnichenko, A. E., S. Plach, and Y. S. Kivshar, "Fano resonances in nanoscale structures," Rev. Mod. Phys., Vol. 82, 2257-2298, 2010.
doi:10.1103/RevModPhys.82.2257 Google Scholar

12. Luk'yanchuk, B., N. I. Zheludev, S. A. Maier, N. J. Halas, P. Nordlander, H. Giessen, and C. T. Chong, "The Fano resonance in plasmonic nanostructures and metamaterials," Nature Mater., Vol. 9, 707-715, 2010.
doi:10.1038/nmat2810 Google Scholar

13. Gurevich, A. and G. Melkov, Magnetic Oscillations and Waves, CRC Press, 1996.

14. Kamenetskii, E. O., "Energy eigenstates of magnetostatic waves and oscillations," Phys. Rev. E, Vol. 63, 066612, 2001.
doi:10.1103/PhysRevE.63.066612 Google Scholar

15. Kamenetskii, E. O., M. Sigalov, and R. Shavit, "Quantum confinement of magnetic-dipolar oscillations in ferrite discs," J. Phys.: Condens. Matter, Vol. 17, 2211-2231, 2005.
doi:10.1088/0953-8984/17/13/018 Google Scholar

16. Kamenetskii, E. O., "Vortices and chirality of magnetostatic modes in quasi-2D ferrite disc particles," J. Phys. A: Math. Theor., Vol. 40, 6539-6559, 2007.
doi:10.1088/1751-8113/40/24/017 Google Scholar

17. Kamenetskii, E. O., "Helical-mode magnetostatic resonances in small ferrite particles and singular metamaterials," J. Phys.: Condens. Matter, Vol. 22, 486005, 2010.
doi:10.1088/0953-8984/22/48/486005 Google Scholar

18. Kamenetskii, E. O., M. Sigalov, and R. Shavit, "Manipulating microwaves with magnetic-dipolar-mode vortices," Phys. Rev. A, Vol. 81, 053823, 2010.
doi:10.1103/PhysRevA.81.053823 Google Scholar

19. Kamenetskii, E. O., R. Joffe, and R. Shavit, "Coupled states of electromagnetic fields with magnetic-dipolar-mode vortices: MDM-vortex polaritons," Phys. Rev. A, Vol. 84, 023836, 2011.
doi:10.1103/PhysRevA.84.023836 Google Scholar

20. Kamentskii, E. O., "Microwave magnetoelectric fields," arXiv:1111.4359, 2011. Google Scholar

21. Kamenetskii, E. O., R. Joffe, and R. Shavit, "Microwave magnetoelectric fields and their role in the matter-field interaction," Phys. Rev. E, Vol. 87, 023201, 2013.
doi:10.1103/PhysRevE.87.023201 Google Scholar

22. Berezin, M., E. O. Kamenetskii, and R. Shavit, "Topological phase effects and path-dependent interference in microwave structures with magnetic-dipolar-mode ferrite particles," J. Opt., Vol. 14, 125602, 2012.
doi:10.1088/2040-8978/14/12/125602 Google Scholar

23. Kamenetskii, E. O., G. Vaisman, and R. Shavit, "Fano resonances of microwave structures with embedded magneto-dipolar quantum dots," arXiv:1309.2792, 2013. Google Scholar

24. McDonald, K. T., "An electrostatic wave," arXiv:physics/0312025, 2003. Google Scholar

25. McDonald, K. T., "Magnetostatic spin waves," arXiv:physics/0312026, 2003. Google Scholar

26. Sondergaard, T. and S. Bozhevolnyi, "Slow-plasmon resonant nanostructures: Scattering and field enhancements," Phys. Rev. B, Vol. 75, 073402, 2007.
doi:10.1103/PhysRevB.75.073402 Google Scholar

27. Pelton, M., J. Aizpurua, and G. Bryant, "Metal-nanoparticle plasmonics," Laser & Photon. Rev., Vol. 2, 136-159, 2008.
doi:10.1002/lpor.200810003 Google Scholar

28. Stockman, M. I., S. V. Faleev, and D. J. Bergman, "Localization versus delocalization of surface plasmons in nanosystems: Can one state have both characteristics?," Phys. Rev. Lett., Vol. 87, 167401, 2001.
doi:10.1103/PhysRevLett.87.167401 Google Scholar

29. Li, K., M. I. Stockman, and D. J. Bergman, "Self-similar chain of metal nanospheres as an e±cient nanolens," Phys. Rev. Lett., Vol. 91, 227402, 2003.
doi:10.1103/PhysRevLett.91.227402 Google Scholar

30. Bergman, D. J. and D. Stroud, "Theory of resonances in the electromagnetic scattering by macroscopic bodies," Phys. Rev. B, Vol. 22, 3527-3539, 1980.
doi:10.1103/PhysRevB.22.3527 Google Scholar

31. Mayergoyz, I. D., D. R. Fredkin, and Z. Zhang, "Electrostatic (plasmon) resonances in nanoparticles," Phys. Rev. B, Vol. 72, 155412, 2005.
doi:10.1103/PhysRevB.72.155412 Google Scholar

32. Brongersma, M. L., J. W. Hartman, and H. A. Atwater, "Electromagnetic energy transfer and switching in nanoparticle chain arrays below the diffraction limit," Phys. Rev. B, Vol. 62, R16356-R16359, 2000.
doi:10.1103/PhysRevB.62.R16356 Google Scholar

33. Maier, S. M., P. G. Kik, and H. A. Atwater, "Optical pulse propagation in metal nanoparticle chain waveguides," Phys. Rev. B, Vol. 67, 205402, 2003.
doi:10.1103/PhysRevB.67.205402 Google Scholar

34. Davis, T. J., K. C. Vernon, and D. E. Gomez, "Effect of retardation on localized surface plasmon resonances in a metallic nanorod," Opt. Express, Vol. 17, 23655-23663, 2009.
doi:10.1364/OE.17.023655 Google Scholar

35. Wang, Z. B., B. S. Luk'yanchuk, M. H. Hong, Y. Lin, and T. C. Chong, "Energy flow around a small particle investigated by classical Mie theory ," Phys. Rev. B, Vol. 70, 035418, 2004.
doi:10.1103/PhysRevB.70.035418 Google Scholar

36. Bashevoy, M. V., V. A. Fedotov, and N. I. Zheludev, "Optical whirlpool on an absorbing metallic nanoparticle," Opt. Express, Vol. 13, 8372-8379, 2005.
doi:10.1364/OPEX.13.008372 Google Scholar

37. Tribelsky, M. I. and B. S. Luk'ynchuk, "Anomalous light scattering by small particles," Phys. Rev. Lett., Vol. 97, 263902, 2006.
doi:10.1103/PhysRevLett.97.263902 Google Scholar

38. Walker, L. R., "Magnetostatic modes in ferromagnetic resonance," Phys. Rev., Vol. 105, 390-399, 1957.
doi:10.1103/PhysRev.105.390 Google Scholar

39. Dillon, Jr., J. F., "Magnetostatic modes in disks and rods," J. Appl. Phys., Vol. 31, 1605-1614, 1960.
doi:10.1063/1.1735901 Google Scholar

40. Yukawa, T. and K. Abe, "FMR spectrum of magnetostatic waves in a normally magnetized YIG disk," J. Appl. Phys., Vol. 45, 3146-3153, 1974.
doi:10.1063/1.1663739 Google Scholar

41. Kamenetskii, E. O., A. K. Saha, and I. Awai, "Interaction of magnetic-dipolar modes with microwave-cavity electromagnetic fields," Phys. Lett. A, Vol. 332, 303-309, 2004.
doi:10.1016/j.physleta.2004.09.067 Google Scholar

42. Sigalov, M., E. O. Kamenetskii, and R. Shavit, "Eigen electric moments and magnetic-dipolar vortices in quasi-2D ferrite disks," Appl. Phys. B, Vol. 93, 339-343, 2008.
doi:10.1007/s00340-008-3168-2 Google Scholar

43. Sigalov, M., E. O. Kamenetskii, and R. Shavit, "Electric self-inductance of quasi-two-dimensional magnetic-dipolar-mode ferrite disks," J. Appl. Phys., Vol. 104, 053901, 2008.
doi:10.1063/1.2973676 Google Scholar

44. Kamenetskii, E. O., R. Shavit, and M. Sigalov, "Quantum wells based on magnetic-dipolar-mode oscillations in disk ferromagnetic particles," Europhys. Lett., Vol. 64, 730-736, 2003.
doi:10.1209/epl/i2003-00620-2 Google Scholar

45. Pozar, D. M., Microwave Engineering, 3rd Ed., Wiley , 2004.

46. Sigalov, M. and Magnetic-dipolar, "Magnetic-dipolar and electromagnetic vortices in quasi-2D ferrite disks," J. Phys.: Condens. Matter, Vol. 21, 016003, 2009.
doi:10.1088/0953-8984/21/1/016003 Google Scholar

47. Kamenetskii, E. O., M. Sigalov, and R. Shavit, "Tellegen particles and magnetoelectric metamaterials," J. Appl. Phys., Vol. 105, 013537, 2009.
doi:10.1063/1.3054298 Google Scholar

48. Anlage, S. M., D. E. Steinhauer, B. J. Feenstra, C. P. Vlahacos, and F. C.Wellstood, "Near-field microwave microscopy of material properties," arXiv: cond-mat/0001075, 2000. Google Scholar

49. Rosner, B. T. and D. W. van der Weide, "High-frequency near-field microscopy," Rev. Sci. Instrum., Vol. 73, 2505-2525, 2002.
doi:10.1063/1.1482150 Google Scholar

50. Joffe, R., E. O. Kamenetskii, and R. Shavit, "Novel microwave near-field sensors for material characterization, biology and nanotechnology," J. Appl. Phys., Vol. 113, 063912, 2013.
doi:10.1063/1.4791713 Google Scholar

51. Carney, P. S., B. Deutch, A. A. Govyadinov, and R. Hillenbrand, "Phase in nanooptics," ACS NANO, Vol. 6, 8-12, 2012.
doi:10.1021/nn205008y Google Scholar

52. Wu, C., A. B. Khanikaev, R. Adato, N. Arju, A. Ali Yanik, H. Altug, and G. Shvets, "Fano-resonant asymmetric metamaterials for ultrasensitive spectroscopy and identification of molecular monolayers," Nature Mater., Vol. 11, 69-75, 2012. Google Scholar

53. Andrews, D. L., Structured Light and Its Applications: An Introduction to Phase-structured Beams and Nanoscale Optical Forces, 2008. Google Scholar

54. Johnson, C., C. M. Marcus, M. P. Hanson, and A. C. Gossard, "Coulomb-modified Fano resonance in a one-lead quantum dot," Phys. Rev. Lett., Vol. 93, 106803, 2004.
doi:10.1103/PhysRevLett.93.106803 Google Scholar

Dr. Eugene O. Kamenetskii

Mr. Roman Joffe

Dr. Maksim Berezin

Mr. Guy Vaisman

Professor Reuven Shavit