### Abstract

In this paper, it is pointed out that the light transmission anomalies observed for, thin-film metallic gratings can be explained entirely in terms of dynamical diffraction theory. Surface plasmons are an intrinsic component of the diffracted wave field and, as such, play no independent causal role in the anomalies, as has been implied by others. The dynamical scattering matrix for the Bloch-wave modes of the diffracted photon wave field (E, H) is derived for a three-dimensionally periodic medium with arbitrary dielectric constant. A new theoretical treatment and numerical results are presented for a one-dimensional array of slits. In model metallic slit arrays, with negative dielectric constant, 100% and 0% transmission is possible at different wavelengths in the zero-order beam. In slit arrays, both propagating and evanescent modes (traditional surface plasmons) are strongly excited at both the peak and the minimum transmission conditions.

Original language | English (US) |
---|---|

Article number | 195105 |

Pages (from-to) | 1951051-19510511 |

Number of pages | 17559461 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 66 |

Issue number | 19 |

State | Published - Nov 15 2002 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*66*(19), 1951051-19510511. [195105].

**Dynamical diffraction explanation of the anomalous transmission of light through metallic gratings.** / Treacy, Michael.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 66, no. 19, 195105, pp. 1951051-19510511.

}

TY - JOUR

T1 - Dynamical diffraction explanation of the anomalous transmission of light through metallic gratings

AU - Treacy, Michael

PY - 2002/11/15

Y1 - 2002/11/15

N2 - In this paper, it is pointed out that the light transmission anomalies observed for, thin-film metallic gratings can be explained entirely in terms of dynamical diffraction theory. Surface plasmons are an intrinsic component of the diffracted wave field and, as such, play no independent causal role in the anomalies, as has been implied by others. The dynamical scattering matrix for the Bloch-wave modes of the diffracted photon wave field (E, H) is derived for a three-dimensionally periodic medium with arbitrary dielectric constant. A new theoretical treatment and numerical results are presented for a one-dimensional array of slits. In model metallic slit arrays, with negative dielectric constant, 100% and 0% transmission is possible at different wavelengths in the zero-order beam. In slit arrays, both propagating and evanescent modes (traditional surface plasmons) are strongly excited at both the peak and the minimum transmission conditions.

AB - In this paper, it is pointed out that the light transmission anomalies observed for, thin-film metallic gratings can be explained entirely in terms of dynamical diffraction theory. Surface plasmons are an intrinsic component of the diffracted wave field and, as such, play no independent causal role in the anomalies, as has been implied by others. The dynamical scattering matrix for the Bloch-wave modes of the diffracted photon wave field (E, H) is derived for a three-dimensionally periodic medium with arbitrary dielectric constant. A new theoretical treatment and numerical results are presented for a one-dimensional array of slits. In model metallic slit arrays, with negative dielectric constant, 100% and 0% transmission is possible at different wavelengths in the zero-order beam. In slit arrays, both propagating and evanescent modes (traditional surface plasmons) are strongly excited at both the peak and the minimum transmission conditions.

UR - http://www.scopus.com/inward/record.url?scp=0037113656&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037113656&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0037113656

VL - 66

SP - 1951051

EP - 19510511

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 19

M1 - 195105

ER -