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Analytical model for the transmission of electromagnetic waves through arrays of slits in perfect conductors and lossy metal screens
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View: Figures


Image of FIG. 1.
FIG. 1.

(a) Cross section of the slit grating considered in this paper (the structure is uniform along the x direction). (b) and (c) show the lateral and frontal views of the unit cell valid for normal incidence. (d) Equivalent circuit for the unit cell problem. The conductivity can be infinite to deal with the perfect conductor case. (Note: e.w. represents electric wall, and m.w. represents magnetic wall).

Image of FIG. 2.
FIG. 2.

(a) Longitudinal section of the height step discontinuity under study. (b) Equivalent circuit model for the structure depicted in (a).

Image of FIG. 3.
FIG. 3.

Total electrostatic capacitance () and partial contributions ( and C 0) from analytical formulas (17) and (19) (dashed lines) and from numerical data (solid lines). The circles correspond to the empirical formula for given in Eq. (21).

Image of FIG. 4.
FIG. 4.

Comparison between mode matching and analytical data for three different slit widths: (a) narrow slit, ; (b) medium width slit, , and (c) wide slit, . The screen thickness is for all three cases.

Image of FIG. 5.
FIG. 5.

(Color online) A closer look at the transmission spectra in Fig. 4 for frequencies close to the onset of the first grating lobe (extraordinary transmission region). The top figure uses analytical formulas for edge capacitances, while the bottom figure extracts these capacitances from a few full-wave data. The data corresponding to , which were not present in Fig. 4, are also shown.

Image of FIG. 6.
FIG. 6.

First order Fabry-Pérot resonance of the transmission spectrum of an array of parallel slits in a lossy conducting medium (/m). Four different values of slit width () are considered. Structure dimensions are , , and .

Image of FIG. 7.
FIG. 7.

Transmitted, reflected, and absorbed power as a function of frequency around the first order Fabry-Pérot resonance. Dimensions: , , , and . Conductivity: /m.

Image of FIG. 8.
FIG. 8.

Magnitude of the transmission coefficient as a function of the slit width. Structure dimensions are , , , and /m.

Image of FIG. 9.
FIG. 9.

Dependence of the first Fabry-Pérot resonance frequency with the slit width (a in Fig. 1) for a structure with period, , and screen thickness, . The perfect electric conductor (PEC) and the lossy conductor (/m) cases are compared. Different behavior is observed in the narrow slit limit.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Analytical model for the transmission of electromagnetic waves through arrays of slits in perfect conductors and lossy metal screens