Resonantly enhanced transmission of terahertz radiation through a periodic array of subwavelength apertures

Hua Cao; Ajay Nahata

doi:10.1364/OPEX.12.001004

Optics Express
Vol. 12,
Issue 6,
pp. 1004-1010
(2004)
•https://doi.org/10.1364/OPEX.12.001004

Resonantly enhanced transmission of terahertz radiation through a periodic array of subwavelength apertures

Hua Cao and Ajay Nahata

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Hua Cao and Ajay Nahata, "Resonantly enhanced transmission of terahertz radiation through a periodic array of subwavelength apertures," Opt. Express 12, 1004-1010 (2004)

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Abstract

We demonstrate resonantly enhanced transmission of freely propagating coherent terahertz radiation through free-standing metal foils perforated with periodic arrays of sub-wavelength apertures. These arrays consist of 400 µm diameter apertures periodically spaced by 1 mm and 600 µm diameter apertures periodically spaced by 1.5 mm. We measure absolute amplitude transmission coefficients of ~0.6 at the resonance wavelength. Correspondingly, the ratio of the absolute amplitude transmission coefficient to the fractional aperture area at these resonance frequencies is ~5. This value at terahertz frequencies is significantly larger than equivalent values measured at optical frequencies.

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Fig. 1. Measured time-domain THz waveforms transmitted through an aperture array fabricated in (a) a 75 µm thick free-standing stainless steel foil and (b) a 75 µm thick free-standing stainless steel foil with 3 µm of silver deposited on both surfaces. Sample A consists of 400 µm diameter apertures periodically spaced by 1 mm. Sample B consists of 600 µm diameter apertures periodically spaced by 1.5 mm.

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Fig. 2. (a) Magnitude and (b) phase of the amplitude transmission coefficient obtained using a 75 µm free-standing stainless steel foil.

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Fig. 3. (a) Magnitude and (b) phase of the amplitude transmission coefficient obtained using a 75 µm free-standing stainless steel foil coated on both sides with 3 µm of silver.

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Equations (8)

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k_{sp} = k_{x} + i G_{x} + j G_{y,}

k_{sp} = \frac{ω}{c} {(\frac{ε_{d} ε_{m}}{ε_{d} + ε_{m}})}^{\frac{1}{2}},

k_{spr} = \frac{ω}{c} {(\frac{ε_{d}}{{(ε_{mr} + ε_{d})}^{2} + ε_{mi}^{2}})}^{\frac{1}{2}} {(\frac{ε_{e}^{2} + {(ε_{e}^{4} + ε_{d}^{2} ε_{mi}^{2})}^{\frac{1}{2}}}{2})}^{\frac{1}{2}} = \frac{ω}{c} n_{sp}

k_{spi} = \frac{ω}{c} {(\frac{ε_{d}}{{(ε_{mr} + ε_{d})}^{2} + ε_{mi}^{2}})}^{\frac{1}{2}} \frac{ε_{d} ε_{mi}}{{[2 (ε_{e}^{2} + {(ε_{e}^{4} + ε_{d}^{2} ε_{mi}^{2})}^{\frac{1}{2}})]}^{\frac{1}{2}}}

k_{spr} = \frac{ω}{c} n_{sp} \approx \frac{ω}{c} \sqrt{ε_{d}}

k_{spi} = \frac{ω}{c} \frac{ε_{d}^{\frac{3}{2}}}{2 ε_{mi}} .

λ_{peak} = \frac{P}{\sqrt{i^{2} + j^{2}}} n_{sp} = \frac{P}{\sqrt{i^{2} + j^{2}}} \sqrt{ε_{d}}

\frac{E_{transmitted} (f)}{E_{incident} (f)} = t (f) = ∣ t (f) ∣ \exp [φ (f)] .

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Equations (8)

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