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In optical trapping applications, the optical force should be investigated within a wide range of parameter space in terms of beam configuration to reach the desirable performance. A simple but reliable way of conducting the related investigation is to evaluate optical forces corresponding to all possible beam configurations. Although the optical force exerted on arbitrarily shaped particles can be...
In this paper, a discontinuous Galerkin augmented electric field integral equation method (DG-A-EFIE) is presented to handle low-frequency, multiscale electromagnetic problems. The discontinuous Galerkin (DG) method allows non-conformal meshes. The augmented electric field integral equation method (A-EFIE) can eliminate the low-frequency unstable problem of EFIE. The presented DG-A-EFIE formulation...
The discontinuous Galerkin (DG) method is combined with the augmented electric field integral equation (AEFIE). AEFIE is proved to be stable in the low-frequency regime. The DG method admits non-conformal elements by using square-integrable, basis and test functions during the discretization. The resultant AEFIE-DG formulation is thus suitable solving the low frequency problems with non-conformal...
For method of moments (MoM) system with many right hand sides (RHSs), skeletonization has been employed to avoid the repetitive solution of all the RHSs. However, the peak memory requirement for the skeletonization may degrade the performance of the previously developed algorithms when the number of unknowns becomes very large. To alleviate the associated difficulty, a strategy is proposed to construct...
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