TL;DR: In this article, a symmetrical tooth-shaped radiator is obtained from a rectangular radiator by adding small symmetrical rectangular cutouts on its two sides, and regression models are constructed for each type of the antenna.
Abstract: Printed monopole antennas with a rectangular radiator as well as with a symmetrical tooth-shaped radiator are considered. The tooth-shaped radiator is obtained from a rectangular radiator by adding small symmetrical rectangular cutouts on its two sides. The antennas with four-, six- and eight-tooth-shaped radiators are considered. For the antennas, the influence of the radiator geometry parameters on the two base resonance frequencies is studied. The common features and characteristics of the dependences of the resonances on the radiator parameters are revealed for the considered tooth-shaped antennas. Regression models are constructed for each type of the antenna. In the obtained models, the values of the two base resonances are functions of the length and width of the radiator as well as of the depth of rectangular cutouts on it. The designing of dual-band printed monopole tooth-shaped antennas for various numbers of cutouts on the radiator is proposed. For the design of the shape of the radiator antennas, regression models are used, which allow to obtain the parameters of the radiator for given resonance frequencies. Examples of obtained antennas with various numbers of teeth are given. Conclusions about the applicability of antennas of this type for operation on two bands are given.
TL;DR: In this paper, the problem of the electromagnetic wave diffraction by a rectangular perfectly conducting metal plate is considered and the solution of the problem is reduced to the integral equations for the tangential components of the magnetic intensity vector on the metal surface.
Abstract: The classical problem of the electromagnetic wave diffraction by a rectangular perfectly conducting metal plate is considered. The solution of the problem is reduced to the solving integral equations for the tangential components of the magnetic intensity vector on the metal surface. The collocation method is applied to the equation with the representation of the sought functions in the form of a series in the Chebyshev polynomials of the 1st and 2nd kind. Numerical experiments have been carried out for a different number of terms of the Fourier series of the sought functions and a different number of collocation points. Graphs comparing the results obtained for various parameters are presented. It is shown that an increase in the number of collocation points leads to a greater stability of the solution. It is concluded that there is no clear-cut convergence of the solution with this choice of collocation points.