2 research outputs found
Multiple Scattering of Electromagnetic Waves by an Array of Parallel Gyrotropic Rods
We study multiple scattering of electromagnetic waves by an array of parallel
gyrotropic circular rods and show that such an array can exhibit fairly unusual
scattering properties and provide, under certain conditions, a giant
enhancement of the scattered field. Among the scattering patterns of such an
array at its resonant frequencies, the most amazing is the distribution of the
total field in the form of a perfect self-similar structure of chessboard type.
The scattering characteristics of the array are found to be essentially
determined by the resonant properties of its gyrotropic elements and cannot be
realized for arrays of nongyrotropic rods. It is expected that the results
obtained can lead to a wide variety of practical applications.Comment: 5 pages, 6 figure
About optimal loss function for training physics-informed neural networks under respecting causality
A method is presented that allows to reduce a problem described by
differential equations with initial and boundary conditions to the problem
described only by differential equations. The advantage of using the modified
problem for physics-informed neural networks (PINNs) methodology is that it
becomes possible to represent the loss function in the form of a single term
associated with differential equations, thus eliminating the need to tune the
scaling coefficients for the terms related to boundary and initial conditions.
The weighted loss functions respecting causality were modified and new weighted
loss functions based on generalized functions are derived. Numerical
experiments have been carried out for a number of problems, demonstrating the
accuracy of the proposed methods.Comment: 25 pages, 7 figures, 6 table