A new mathematical and computational technique for calculating quantum vacuum expectation values of energy and momentum densities associated with electromagnetic fields in bounded domains containing inhomogeneous media is discussed. This technique is illustrated by calculating the mode contributions to the difference in the vacuum force expectation between opposite ends of an inhomogeneous dielectric non-dispersive medium confined to a perfectly conducting rigid box.
This paper describes how models of slender MEMS components can be generated using symbolic simulations based on Cosserat theory. Due to the generality of the method, models can be generated for a wide range of components under different stress conditions. The structure of the Cosserat- based models is presented, showing their concise, mathematically accurate representation. This potentially results in faster simulation results than finite element analysis, requiring detailed 3d meshed models. The use of Cosserat models in symbolic simulations enables generation of closed-form expressions for the dynamics of components with complex shapes. The influence of various stress conditions, such as package-induced and residual stress, on the behavior of the component can be included in these expressions.
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