Diffraction of Electromagnetic Waves of Rectangular Waveguides With a Longitudinal

General Approaches to Solving Problems of Analysis and Synthesis of Directional Properties of Antenna Arrays

“…To calculate definite integrals in ( 9) and ( 10), we use the principle of equivalence of fields and surface currents induced by them and the method developed in [18] for approximating the currents of objects with axial symmetry by a series of cylindrical functions. In this case, the diffraction functions of the cylinder fields ( 9) and (10) are calculated in an analytical form, and the local diffraction functions of sources located at the points of attachment of the array elements on the carrier surface are found by summing the series of trigonometric functions of azimuthal harmonics [18] with weight coefficients in the form relations of the Hankel functions.…”

“…Calculating the first derivative of the functional ( 17) concerning the components of the column vector and equating it to zero, we obtain a system of linear algebraic equations concerning the desired distribution of grid currents (18) where are elements of the matrix inverse…”

“…(19) The solution of the resulting system of equations was found using the simplex method when converting the invertible matrix on the left side of (19) to the canonical form with the choice of the largest coefficient in absolute value. Antenna element currents satisfying distribution (18) with Lagrange multipliers converting equations of system (19) into identities. Due to the performed transformations, it became possible to correct the amplitudes and phases of the currents of each vibrator.…”

Computer simulation, visualization, and synthesis of a digital antenna array used for transmitting and receiving signals in industrial applications

“…If the noise power is commensurate with the interference power, then the sum S + I is a positive-definite Hermitian matrix. In matrix theory, there are theorems defining the condition maximum ratio of Hermitian forms [12][13][14][15]. Based on these theorems, for a positive-definite Hermitian matrix S + I, the maximum expression ( 8) is achieved for the vector…”

Numerical simulation of characteristics of propagation of symmetric waves in microwave circular shielded waveguide with a radially inhomogeneous dielectric filling

“…The possibility of calculating the characteristics of waveguides with filling described by arbitrary analytical functions makes it possible to pose problems of parametric synthesis aimed at the implementation of devices with given characteristics. In addition, algorithms for calculating inhomogeneously filled circular waveguides can be used to study gradient optical fibers [13][14][15][16][17][18][19][20][21]. This paper proposes a method for calculating the characteristics of wave propagation of a circular shielded waveguide with a radially inhomogeneous dielectric filling, based on a modified Galerkin method as a variant of the spectral method.…”