Transmission Line Computation Model for Metal-Insulator-Metal Plasmonic Waveguide Connected with Stub-shaped Resonator

doi:10.19596/j.cnki.1001-246x.8629

Abstract

Abstract:

Based on the well-known analogy of propagation modes between metal-insulator-metal (MIM) waveguides and microwave transmission lines, an improved transmission line model (ITLM) have been proposed to describe reflection coefficients of a MIM waveguide stub. The Fresnel formula have been employed to predict the phase shift resulting from the reflection of surface plasmon polaritons (SPP) from the stub's end, which allows the ITLM to describe the influence of the stub-shaped resonators arranged in the side-coupled configuration on the transmission spectrum of main waveguide more precisely. In this paper, the improved transmission line models of MIM waveguide side coupled to single stub and double-side symmetric stubs have been proposed, and the predicted transmission spectrum by the ITLM is well agreed with simulation results of the finite element method. Specifically, transmission minimum predicted by ITLM is more close to that calculated by numerical methods than the classical transmission line model. Moreover, it is verified that ITLM possess much higher efficiency in calculating the transmission spectrum of the MIM waveguide connected with stub-shaped resonators than the finite element method employed in this work.

Key words: surface plasmons polaritons, metal-insulator-metal waveguides, stub-shaped resonator, transmission line model

Jianfei GUAN, Tao CHEN. Transmission Line Computation Model for Metal-Insulator-Metal Plasmonic Waveguide Connected with Stub-shaped Resonator[J]. Chinese Journal of Computational Physics, 2023, 40(4): 473-481.

Figures/Tables 8

Fig.1 Schematic of a single-stub structure and equivalent transmission line model(TLM) (a) schematics of MIM waveguide stub; (b) equivalent TLM terminated by the impedance Zl; (c) approximate TLM terminated by the reactance Xl; (d) revised approximate TLM with an extend length Δd terminated by a short circuit

Fig.2 Variation curves of intensity reflectivity and δϕ to the reflection of SPP on MIM stub end (a) intensity reflectivity; (b) δϕ

Fig.3 Varization of SPPs propagation constant with wavelength in Ag-air-Ag waveguide (a) real part of β; (b) waveguide wavelength; (c) imaginary part of β; (d) propagation length

Fig.4 Schematic of MIM waveguide with single-stub and its equivalent transmission line (a) MIM waveguide with single stub; (b) equivalent transmission line model

Fig.5 Transmissivity vs stub depths d1 for MIM waveguide with single stub (a) λ=800 nm; (b) λ=1550 nm

Fig.6 Schematic of MIM waveguide with double stubs and its equivalent transmission line (a) MIM waveguide with double stubs; (b) equivalent transmission line model

Fig.7 Transmissivity vs stub depths for MIM waveguide with symmetric double stubs (a) λ=800 nm; (b) λ=1 550 nm

Fig.8 Transmission spectra of MIM waveguide with stub resonators (a) single side stub; (b) symmetric double-side stubs

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