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Diffraction of Electromagnetic Waves on a Waveguide Joint

“…The discreteness of the spectrum and the completeness of the system of normal waves are obtained as a corollary of the theorem of M. V. Keldysh about the operator pencil [8].…”

Calculation of waveguides by the finite element method using the Bunch-Kaufman procedure

“…We approxi mate the components of magnetic field vector at ele ment T 1 as follows: (5) where ( ) α is the value of in the αth node, α = i, m, n are vertexes of triangle T 1 , q = x, y, z, Φ i = x/h x , Φ m = y/h y , and Φ n = 1 -x/h x -y/h y are linear basis functions.…”

“…Each node corresponds to three components of the magnetic field vector , , and . Let us reformulate problem (6), (7) so that the obtained problem would include all elements of form T 1 or T 2 .…”

“…The finite element method (FEM) is one of the most efficient methods for the numerical solution of problems of mathematical physics and technology [1][2][3][4][5][6][7]. The first attempts to apply the FEM to the calcula tion of waveguide systems occurred in the 1960s.…”

Reducing the problem of waveguide excitation by currents in cross-section to a system of integral volterra equations

“…Also, the natural waves are excited through the slits of the waveguide or through another conjugate waveguide (Sadiku, 2014). In this case, the waveguide itself can be both homogeneous and inhomogeneous filling (Bogolyubov et al, 2003;Islamov et al, 2017;Sailaukyzy et al, 2018).…”