## Numerical analysis of plasmon-resonance absorption in bisinusoidal metal gratings

JOSA A, Vol. 19, Issue 4, pp. 695-701 (2002)

http://dx.doi.org/10.1364/JOSAA.19.000695

Acrobat PDF (208 KB)

### Abstract

We numerically investigate plasmon-resonance absorption of incident light energy by a bisinusoidal metal grating, i.e., one whose surface profile is sinusoidally corrugated in two orthogonal directions with a common period. Employing Yasuura’s modal expansion method, we solve the problem of plane-wave diffraction by the grating and evaluate the absorption, which is observed as dips in diffraction efficiency curves. We examine the field distribution and energy flow in detail at the angles of incidence at which the absorption occurs. We show that the absorption is caused by coupling of the TM component of an evanescent order with surface plasmons. A phase-matching condition is used in the prediction of the incident angle at which the absorption occurs. This, together with the field profile in the presence of the resonance absorption, explains the mechanism of the absorption. We then illustrate interesting features of the absorption: enhancement of polarization conversion between the incident light and the reflected light and simultaneous excitation of two plasmon waves in directions that are symmetric with respect to the plane of incidence.

© 2002 Optical Society of America

**OCIS Codes**

(050.1950) Diffraction and gratings : Diffraction gratings

(240.6680) Optics at surfaces : Surface plasmons

**Citation**

Toyonori Matsuda, Daqing Zhou, and Yoichi Okuno, "Numerical analysis of plasmon-resonance absorption in bisinusoidal metal gratings," J. Opt. Soc. Am. A **19**, 695-701 (2002)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-4-695

Sort: Year | Journal | Reset

### References

- H. Raeter, “Surface plasmon and roughness,” in Surface Polaritons, V. M. Argranovich and D. L. Mills, eds. (North-Holland, New York, 1982), Chap. 9, pp. 331–403.
- M. Nevièr, “The homogenous problem,” in Electromagnetic Theory of Gratings, R. Petit, ed. (Springer-Verlag, Berlin, 1980), Chap. 5, pp. 123–157.
- S. J. Elston, G. P. Bryan-Brown, and J. R. Sambles, “Polarisation conversion from diffraction gratings,” Phys. Rev. B 44, 6393–6399 (1991).
- A. Nemetz, U. Fernandez, and W. Knoll, “Surface plasmon field-enhanced Raman spectroscopy with double gratings,” J. Appl. Phys. 75, 1582–1585 (1994).
- W. L. Barnes, T. W. Preist, S. C. Kitson, J. R. Sambles, N. P. K. Cotter, and D. J. Nash, “Photonic gaps in the dispersion of surface plasmons on gratings,” Phys. Rev. B 51, 11164–11167 (1995).
- N. E. Glass, A. A. Maradudin, and V. Celli, “Surface plasmons on a large-amplitude doubly periodic corrugated surface,” Phys. Rev. B 26, 5357–5365 (1982).
- N. E. Glass, A. A. Maradudin, and V. Celli, “Theory of surface-polariton resonances and field enhancements in light scattering from bigratings,” J. Opt. Soc. Am. 73, 1240–1248 (1983).
- T. Inagaki, J. P. Goudonnet, J. W. Little, and E. T. Arakawa, “Photoacoustic study of plasmon-resonance absorption in a bigrating,” J. Opt. Soc. Am. B 2, 432–439 (1985).
- J. B. Harris, T. W. Preist, J. R. Sambles, R. N. Thorpe, and R. A. Watts, “Optical response of bigratings,” J. Opt. Soc. Am. A 13, 2041–2049 (1996).
- T. Matsuda and Y. Okuno, “Numerical evaluation of plane-wave diffraction by a doubly periodic grating,” Radio Sci. 31, 1791–1798 (1996).
- H. Ikuno and K. Yasuura, “Improved point-matching method with application to scattering from a periodic surface,” IEEE Trans. Antennas Propag. AP-21, 657–662 (1973).
- C. C. Chen, “Transmission of microwave through perforated flat plates of finite thickness,” IEEE Trans. Microwave Theory Tech. MTT-21, 1–6 (1973).
- C. L. Lawson and R. J. Hanson, Solving Least Squares Problems (Prentice-Hall, Englewood Cliffs, N. J., 1974).
- Theoretical foundations of the Yasuura method can be found in Ref. 15 16 17.
- K. Yasuura and T. Itakura, “Approximation method for wave functions (I),” Tech. Rep., Vol. 38, No. 1 (Kyushu University, Fukuoka, Japan, 1965), pp. 72–77.
- K. Yasuura and T. Itakura, “Complete set of wave functions,” Tech. Rep., Vol. 38, No. 4 (Kyushu University, Fukuoka, Japan, 1966), pp. 378–385.
- K. Yasuura and T. Itakura, “Approximate algorithm by complete set of wave functions,” Tech. Rep., Vol. 39, No. 1 (Kyushu University, Fukuoka, Japan, 1966), pp. 51–56.
- G. Hass and L. Hadley, “Optical properties of metals,” 2nd ed., in American Institute of Physics Handbook D. E. Gray, ed. (McGraw-Hill, New York, 1963), pp. 6–107.
- R. H. Ritchie, E. T. Arakawa, J. J. Cowan, and R. N. Hamm, “Surface-plasmon resonance effect in grating diffraction,” Phys. Rev. Lett. 21, 1530–1533 (1968).

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article | Next Article »

OSA is a member of CrossRef.