Adaptive Wavelet Collocation Method for Simulation of Time Dependent Maxwell's Equations
For researchers simulating guided-wave optical devices, this method offers a more efficient approach by reducing computational resources through adaptive gridding.
This paper develops an adaptive wavelet collocation method for solving time-dependent Maxwell's equations, dynamically adapting the computational grid at each time step. The method achieves high compression rates, substantially reducing computational cost and enabling efficient simulation of guided-wave optical devices.
This paper investigates an adaptive wavelet collocation time domain method for the numerical solution of Maxwell's equations. In this method a computational grid is dynamically adapted at each time step by using the wavelet decomposition of the field at that time instant. In the regions where the fields are highly localized, the method assigns more grid points; and in the regions where the fields are sparse, there will be less grid points. On the adapted grid, update schemes with high spatial order and explicit time stepping are formulated. The method has high compression rate, which substantially reduces the computational cost allowing efficient use of computational resources. This adaptive wavelet collocation method is especially suitable for simulation of guided-wave optical devices.