“Transfer matrix” method for direct and indirect coupling of cascaded cavities in resonator-waveguide systems

Zhou, Jianhong; Meng, Ying; Song, Hongfei; Han, Wenbo; Mu, Da; Xü, Dong; Liu, Tianchen; Park, Won

doi:10.1016/j.optcom.2014.04.086

Cited by 3 publications

(1 citation statement)

References 19 publications

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“…The former method mainly determined the vibration characteristics of a linear multibody system [13], while the latter mainly solved the time-varying, nonlinear, large motion, controlled, or another general multibody system dynamic problem [14]. Compared to the classical transfer matrix method, MS-TMM has the following advantages: (1) no global dynamics equations of the system are required; (2) only high-level programming is required; (3) a low order of system matrix usually results; (4) high computational efficiency is existed [15]; and (5) the "morbidity" problems inherent to eigenvalue calculations are avoided [16].…”

Section: Introductionmentioning

confidence: 99%

Study on the Seismic Response of a Portal Frame Structure Based on the Transfer Matrix Method of Multibody System

Ding

Zhuang

Wang

2014

Advances in Mechanical Engineering

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Portal frame structures are widely used in industrial building design but unfortunately are often damaged during an earthquake. As a result, a study on the seismic response of this type of structure is important to both human safety and future building designs. Traditionally, finite element methods such as the ANSYS and MIDAS have been used as the primary methods of computing the response of such a structure during an earthquake; however, these methods yield low calculation efficiencies. In this paper, the mechanical model of a single-story portal frame structure with two spans is constructed based on the transfer matrix method of multibody system (MS-TMM); both the transfer matrix of the components in the model and the total transfer matrix equation of the structure are derived, and the corresponding MATLAB program is compiled to determine the natural period and seismic response of the structure. The results show that the results based on the MS-TMM are similar to those obtained by ANSYS, but the calculation time of the MS-TMM method is only 1/20 of that of the ANSYS method. Additionally, it is shown that the MS-TMM method greatly increases the calculation efficiency while maintaining accuracy.

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Section: Introductionmentioning

confidence: 99%

Study on the Seismic Response of a Portal Frame Structure Based on the Transfer Matrix Method of Multibody System

Ding

Zhuang

Wang

2014

Advances in Mechanical Engineering

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Multiple Fano-Like Transmission Mediated by Multimode Interferences in Spoof Surface Plasmon Cavity-Waveguide Coupling System

Qin

Xiao

Liu

et al. 2016

IEEE Trans. Microwave Theory Techn.

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Optical properties of a double-cavity system coupled to a waveguide in photonic crystals

2020

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The optical properties of a pair of directly interacting cavities, side-coupled to a waveguide, are investigated analytically by the coupled-mode theory. Due to the indirect coupling via waveguide, the resonance split can be controlled through the involved direct coupling coefficients and the indirect coupling phase shift. As a result, a variety of complete transmissions, two different types of one-peak reflectivity profiles, and two-peak reflectivity profiles can be obtained. All the predictions of the resonator-waveguide coupling systems obtained theoretically are validated numerically by the finite-difference time-domain method in photonic crystals.

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“Transfer matrix” method for direct and indirect coupling of cascaded cavities in resonator-waveguide systems

Cited by 3 publications

References 19 publications

Study on the Seismic Response of a Portal Frame Structure Based on the Transfer Matrix Method of Multibody System

Study on the Seismic Response of a Portal Frame Structure Based on the Transfer Matrix Method of Multibody System

Multiple Fano-Like Transmission Mediated by Multimode Interferences in Spoof Surface Plasmon Cavity-Waveguide Coupling System

Optical properties of a double-cavity system coupled to a waveguide in photonic crystals

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