Abstract
In the work, mathematical modeling of antenna devices in the microwave range was carried out. A method is proposed for calculating the fields of aperture antennas in the time domain, in which the antiderivative impulse response of the antenna as a function of the observation point can in many cases be expressed in elementary functions in the entire half-space in front of the aperture. On its basis, the characteristic features of pulsed fields of aperture antennas of various shapes for different observation points are shown. Flyby diagrams of a circular aperture are obtained at various flyby radius, as well as the amplitude profile of the electromagnetic field of a circular aperture along the electric field strength vector at various distances, the amplitude profile of the electromagnetic field of circular apertures corresponding to the successive addition of Fresnel zones along the electric field strength vector, longitudinal amplitude profiles of small and large circular apertures and the amplitude profile of the electromagnetic field of the annular aperture corresponding to two adjacent Fresnel zones along the electric field strength vector. The proposed calculation method is generalized for field distributions decreasing towards the edges of the aperture. The proposed modeling method is generalized for rectangular, circular and annular apertures. It is shown that for a monochromatic signal when measuring the radiation pattern with a receiving aperture antenna at a finite distance, the measurement error is minimized when the probe size is about half the size of the antenna.
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Islamov, I.J., Hasanov, M.H., Hunbataliyev, E.Z. (2023). Mathematical Modeling of the Antenna Devices of the Microwave Range. In: Hemanth, D.J., Yigit, T., Kose, U., Guvenc, U. (eds) 4th International Conference on Artificial Intelligence and Applied Mathematics in Engineering. ICAIAME 2022. Engineering Cyber-Physical Systems and Critical Infrastructures, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-031-31956-3_14
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