, Volume 5, Issue 1, pp 45–49 | Cite as

A Novel Design Method of Focusing-control Device by Modulating SPPs Scattering



A novel design method of focusing device with a desired focal length is proposed, which consists of a nanometal slit surrounded with the grooves with fixed width and depth. By numerical calculation and analytic derivation, a relation between the phases of the light scattering from slit and grooves and the groove positions is revealed. Under the linear approximation, a design formula of focusing device is deduced, from which the position parameters of the grooves can be easily obtained to modulate the phase of the scattering light. The transmitted field distribution through the illustrative structures designed according to the proposed method is simulated with finite-difference time-domain (FDTD) method. The results show a good agreement with the theoretical analysis, and that the focal length can be controlled in several micrometers distance away from the metal exit surface, which verifies the feasibility of the method to deign focus-controlled optical elements in wavelength scale in integrated optics.


Surface plasmon polaritons Subwavelength aperture Scattering light Transmission 



This work is supported by the National Natural Science Foundation of China under Grant 60678028. The authors are grateful to Qingyan Wang at Peking University for theoretical discussions.


  1. 1.
    Ebbesen TW, Lezec HJ, Ghaemi HF, Thio T, Wolff PA (1998) Extraordinary optical transmission through sub-wavelength hole arrays. Nature 391(6668):667–669CrossRefGoogle Scholar
  2. 2.
    Lezec HJ, Degiron A, Devaux E, Linke RA, Martin-Moreno L, Garcia-Vidal FJ, Ebbesen TW (2002) Beaming light from a subwavelength aperture. Science 297(5582):820–822CrossRefGoogle Scholar
  3. 3.
    Barnes WL, Murray WA, Dintinger J, Devaux E, Ebbesen TW (2004) Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film. Phys Rev Lett 92(10):107401CrossRefGoogle Scholar
  4. 4.
    Martin-Moreno L, Garcia-Vidal FJ, Lezec HJ, Degiron A, Ebbesen TW (2003) Theory of highly directional emission from a single subwavelength aperture surrounded by surface corrugations. Phys Rev Lett 90(16):167401CrossRefGoogle Scholar
  5. 5.
    Garcia-Vidal FJ, Martin-Moreno L, Lezec HJ, Ebbesen TW (2003) Focusing light with a single subwavelength aperture flanked by surface corrugations. Appl Phys Lett 83(22):4500–4502CrossRefGoogle Scholar
  6. 6.
    Yu L-B, Lin D-Z, Chen Y-C, Chang Y-C, Huang K-T, Liaw J-W, Yeh J-T, Liu J-M, Yeh C-S, Lee C-K (2005) Physical origin of directional beaming emitted from a subwavelength slit. Phys Rev B 71(4):41405CrossRefGoogle Scholar
  7. 7.
    Lin DZ, Chang CK, Chen YC, Yang DL, Lin MW, Yeh JT, Liu JM, Kuan CH, Yeh CS, Lee CK (2006) Beaming light from a subwavelength metal slit surrounded by dielectric surface gratings. Opt Express 14(8):3503–3511CrossRefGoogle Scholar
  8. 8.
    Wang C, Du C, Luo X (2006) Refining the model of light diffraction from a subwavelength slit surrounded by grooves on a metallic film. Phys Rev B 74(24):245403–245407CrossRefGoogle Scholar
  9. 9.
    Kim S, Kim H, Lim Y, Lee B (2007) Off-axis directional beaming of optical field diffracted by a single subwavelength metal slit with asymmetric dielectric surface gratings. Appl Phys Lett 90(5):51113CrossRefGoogle Scholar
  10. 10.
    Choi KY, Yoon J, Song SH, Oh CH, Kim PS (2005) Surface-plasmon coupling in subwavelength periodic structures. Proc SPIE 5636:22–26CrossRefGoogle Scholar
  11. 11.
    Shi HF, Du CL, Luo XG (2007) Focal length modulation based on a metallic slit surrounded with grooves in curved depths. Appl Phys Lett 91:093111CrossRefGoogle Scholar
  12. 12.
    Kim S, Lim Y, Kim H, Park J, Lee B (2008) Optical beam focusing by a single subwavelength metal slit surrounded by chirped dielectric surface gratings. Appl Phys Lett 92(1):013103CrossRefGoogle Scholar
  13. 13.
    Palik ED (1991) Handbook of optical constants of solids II. Academic, BostonGoogle Scholar
  14. 14.
    Born M, Wolf E (1999) Principles of optics, 7th ed. Cambridge University Press, CambridgeGoogle Scholar
  15. 15.
    Sun ZJ, Kim HK (2004) Refractive transmission of light and beam shaping with metallic nano-optic lenses. Appl Phys Lett 85(4):642–644CrossRefGoogle Scholar
  16. 16.
    Shi H, Wang C, Du C, Luo X, Dong X, Gao H (2005) Beam manipulating by metallic nano-slits with variant widths. Opt Express 13(18):6815–6820CrossRefGoogle Scholar

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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of PhysicsTsinghua UniversityBeijingPeople’s Republic of China
  2. 2.State Key Laboratory of Precision Measurement Technology and Instruments, Department of Precision InstrumentsTsinghua UniversityBeijingPeople’s Republic of China

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