Design and mathematical analysis of a metasurface-based THz bandpass
filter with an equivalent circuit model

Ananga Paul; Ananga Paul; Nilotpal; Nilotpal; Somak Bhattacharyya; Smrity Dwivedi; Smrity Dwivedi

doi:10.1364/AO.431821

Applied Optics
Vol. 60,
Issue 22,
pp. 6429-6437
(2021)
•https://doi.org/10.1364/AO.431821

Design and mathematical analysis of a metasurface-based THz bandpass filter with an equivalent circuit model

Ananga Paul, Nilotpal, Somak Bhattacharyya, and Smrity Dwivedi

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Ananga Paul, Nilotpal, Somak Bhattacharyya, and Smrity Dwivedi, "Design and mathematical analysis of a metasurface-based THz bandpass filter with an equivalent circuit model," Appl. Opt. 60, 6429-6437 (2021)

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Abstract

This paper presents successive studies of single-, double-, and triple-layered metasurface-based bandpass filters along with their equivalent circuit modeling and mathematical analyses. A triple-layered bandpass filter operating in the THz region is reported exhibiting flattop passband response while maintaining transmission of more than 95% over the entire passband starting from the design of a single-layered bandpass filter configuration. A stepwise mathematical analysis is carried out for the single-layered structure and compared with the simulation data, where the two results have been found in good agreement. Thereafter, the study is extended for double- and triple-layer bandpass filters. The triple-layered structure offers a very steep transition between passband and stopband with noise-free background, and thereby offers a potential candidate for 6G communication.

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Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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No. of Layers	Side View of Structure	Reflection/Transmission Response
Single-Layered Structure Case: 1
Double-Layered Structure Case: 2
Triple-Layered Structure Case: 3

	Operating Frequency Range (THz)	Center Frequency (THz)	3 dB Bandwidth (GHz)	Fractional Bandwidth	Q-factor/ Selectivity	Transition Band (GHz)	Extinction Ratio (dB)	Full-width Half-Maximum (GHz)	Passband Rippling	Stopband Rippling	Periodicity of Unit Cell	Thickness of Unit Cell
This Work	1–3	1.92	406	21%	4.73	230	19.65	482	Negligible	Negligible	$λ / 9$	$λ / 1.12$
[25]	0.3–1.7	0.98	324	33%	3.02	$> 400$ ^a	6.02^a	480^a	Negligible^a	Negligible^a	$λ / 6$	$λ$
[27]	0.1–0.6	0.405	100	24%	4.05	100^a	4.08^a	170^a	Present^a	Present^a	$λ / 3$	$λ / 2.8$
[37]	0.5–1.8	1	440	44%	2.3	300^a	11.12^a	500^a	Present^a	Present^a	$λ / 1.4$	$λ / 2.2$

No. of Layers	Side View of Structure	Reflection/Transmission Response
Single-Layered Structure Case: 1
Double-Layered Structure Case: 2
Triple-Layered Structure Case: 3

	Operating Frequency Range (THz)	Center Frequency (THz)	3 dB Bandwidth (GHz)	Fractional Bandwidth	Q-factor/ Selectivity	Transition Band (GHz)	Extinction Ratio (dB)	Full-width Half-Maximum (GHz)	Passband Rippling	Stopband Rippling	Periodicity of Unit Cell	Thickness of Unit Cell
This Work	1–3	1.92	406	21%	4.73	230	19.65	482	Negligible	Negligible	$λ / 9$	$λ / 1.12$
[25]	0.3–1.7	0.98	324	33%	3.02	$> 400$ ^a	6.02^a	480^a	Negligible^a	Negligible^a	$λ / 6$	$λ$
[27]	0.1–0.6	0.405	100	24%	4.05	100^a	4.08^a	170^a	Present^a	Present^a	$λ / 3$	$λ / 2.8$
[37]	0.5–1.8	1	440	44%	2.3	300^a	11.12^a	500^a	Present^a	Present^a	$λ / 1.4$	$λ / 2.2$

Abstract

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Equations (9)

Applied Optics