We present a theoretical study of interference effect in a Mach-Zehnder interferometer in which two microresonators are side coupled to both arms of the interferometer. The results show that sharp asymmetric Fano resonance, coupled resonator induced transparency and absorption effects can be created in such a structure. We demonstrate that these effects arise from interference between a resonance mode and a continuing propagating mode with asymmetric phase difference, destructive interference between two overcoupled resonance modes, and constructive interference between an overcoupled resonance mode and an undercoupled mode or a continuing propagating mode with symmetric phase differences, respectively. These effects may offer a better understanding of the analogous effects in atomic medium and also make optical resonators a potential device to utilize these effects.
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An application of uncertainty analysis of microelectromechanical resonator is presented. A number of different uncertain parameters have been considered, connected both to geometric characteristics and material property. Sensitivity analysis has been carried out in order to study the influence of each input uncertain parameter on the chosen dynamic characteristics. The propagation of given uncertainties into the variation of studied output parameter has been evaluated by means of the Monte Carlo simulation, the vertex method and genetic algorithms. Finite element model of microresonator has been elaborated. It has taken into account the phenomenon of viscous damping coming from the presence of surrounding air as well as the in?uence of constant electrostatic field.
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MEMS design flow should take in account every measure to include key steps involving in designing of MEMS device, but there are many variables which cannot be taken in account. Thus in this paper authors presented mathematical model of electrostatic microresonator in which mechanical and electrical parameters are used. Such model could be used during statistical analysis of electrical and mechanical parameters to obtain correlation dependences between them. This analysis allows to predict, to estimate output characterristics of the structure. In the paper main aspects of micro-electro-mechanical actuators design are presented. Equations for mechanical and electrical model are carried out.
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