Abstract
This paper presents a mathematical model for analyzing the characteristics of SIW structures with slot emitters, based on solving the integral equations of the problem by the method of moments. Due to its short computation time, the program can serve as the basis for developing programs for the synthesis of slot antenna arrays. The correct operation of the program is confirmed by comparison with a commercial program. It has been shown that in a SIW waveguide, as an open structure, incident and reflected waves belong to the class of complex waves. They are not planar, exist outside the SIW boundaries, and have unequal lateral structure. In the region of the pin walls, the Poynting vector can have the direction opposite to the wave motion. Using the concept of an equivalent transmission line for an open structure allows one to calculate the reflection coefficient in any section of the waveguide. It has been established that application of the equivalent waveguide model to the slots is appropriate for determining the initial values in the synthesis procedure. The required slot displacements on the SIW are small, which requires high precision in antenna manufacturing. The work shows that the phase of the electric field in the cross section of the slot is uneven. Only in very narrow slots the phase changes insignificantly. In wider slots, the phase distribution depends on the slot width and its displacement, which significantly changes the dependence of the slot parameters on the displacement.
Published Version
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