1 research outputs found
Efficient Calculation of the 3-D Rectangular Waveguide Green’s Functions Derivatives by the Ewald Method
In this contribution, the Ewald method has efficiently
been applied to accelerate the computation of the rectangular
waveguide Green’s functions derivatives. Based on previous
works, we have outlined new approximation formulae that avoid
the evaluation of computationally expensive complementary error
functions of complex argument, needed by the Ewald method.
This is possible when the internal medium of the rectangular
waveguide is homogeneous and lossless. On the other hand,
different convergence numerical studies have been carried out,
showing a similar convergence rate for computing the original
Green’s functions and their derivatives. Moreover, we have
checked that the computational time is only slightly increased
for obtaining the derivatives as compared to the original Green’s
functions, after the application of these new techniques. The new
derived expressions are useful for the evaluation of electromagnetic
fields, the characterization of dielectric materials and step
discontinuities between rectangular waveguides, and the analysis
of rectangular cavities using integral equation formulations. For
validation, the electric field produced by a surface electric current
density with a rectangular pulse distribution has been evaluated,
using the new proposed expressions. These results have been
compared to simulations provided by a full-wave finite elements
commercial software to verify their correctness, exhibiting a good
agreement