Locally corrected Nyström method for EM scattering by bodies of revolution

Determination of normalized electric eigenfields in microwave cavities with sharp edges

“…The lower equation in (11) states that J s and s induce an electric null field outside Γ. We decompose the electric field in its cylindrical coordinate components…”

Determination of Normalized Magnetic Eigenfields in Microwave Cavities

“…The lower equation states that J s (r) induces a zero magnetic field outside Γ. Taking the limit V r → r • ∈ Γ in (13) and using (12), one gets the MFIE:…”

Nystrom method for the Muller boundary integral equations on a dielectric body of revolution: axially symmetric problem

“…Magnetic and electric currents, j m = E × n, j e = n × H, satisfy the Muller IE (two coupled vector IEs) [17,18] (see (1)) where (∇, f ) divergence of f, G 1,2 = exp(ik 1,2 R)/(4π·R) are the 3D scalar Green's functions, n is the outer unit normal vector to the surface S, k 1,2 are the wavenumbers inside and outside S, respectively.…”

“…This method has been already used to solve boundary IEs in two-dimensional (2D) and 3D acoustic and electromagnetic scattering [16,17]. The 'local corrections' mean that the length of the subinterval L containing a singular point is split into two parts.…”