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Analysis of the transmission process through single apertures surrounded by periodic corrugations

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Abstract

We have analyzed the transmission process through single subwavelength apertures surrounded by a set of periodic grooves in optically thick Ag films. On one hand, we found that the intensity of both single- and double-corrugated structures follows just one exponential regime as a function of the hole depth. On the other hand, it is shown that the transmission process can be separated into three independent steps: coupling in, transmission through the aperture and coupling out. This is in contrast with the transmission through hole arrays reported by previous studies where two transmission regimes were found. These findings are of relevance not only for further understanding the enhanced transmission but also for any applications based on this phenomenon.

©2004 Optical Society of America

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Figures (5)

Fig. 1.
Fig. 1. Transmission spectra of cylindrical apertures surrounded by 5 concentric grooves on the input side, for a range of hole depths h. The geometric parameters are detailed in the text.
Fig. 2.
Fig. 2. Intensity as a function of h for bull’s eye structures with corrugations on the input side (diamonds), and on both sides (squares). The data are derived from Figs. 1 and 3 at three different wavelengths: λ=650 nm (black), λ=700 nm (red), λ=750 nm (blue).
Fig. 3.
Fig. 3. Transmission spectra of cylindrical apertures surrounded by 5 concentric grooves on both sides, for a range of hole depths h.
Fig. 4.
Fig. 4. Ratio between the transmission spectra of Fig. 1 and those of isolated apertures without corrugations of same dimensions.
Fig. 5.
Fig. 5. Ratio between the transmission spectra of Fig. 3 and those of holes of same dimensions surrounded by a bull’s eye structure on the exit side only.

Equations (6)

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I ci ( λ , h ) = f ci ( λ ) . T ( λ , h ) . f e ( λ ) ,
I ( λ , h ) = f i ( λ ) . T ( λ , h ) . f e ( λ ) ,
I ci ( λ , h ) I ( λ , h ) = f ci ( λ ) f i ( λ ) .
I ce ( λ , h ) = f i ( λ ) . T ( λ , h ) . f ce ( λ ) ,
I cie ( λ , h ) = f ci ( λ ) . T ( λ , h ) . f ce ( λ ) .
I cie ( λ , h ) I ce ( λ , h ) = f ci ( λ ) f i ( λ ) .
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