Calculation of radiation characteristics of the cylindrical Luneburg lens based on Green's functions for radially inhomogeneous media

A. N. Korotkov, Y. E. Mitelman, V. A. Chechetkin, S. N. Shabunin

Federal State Autonomous Educational Institution of Higher Education «Ural Federal University named after the first President of Russia B.N.Yeltsin», 19 Mira street, Ekaterinburg 620002, Russia

 

The paper is received on December 7, 2016, after correction - on February 10, 2017

 

Abstract. The method of calculation of radiation characteristics of cylindrical Luneburg lens, based on the Green's functions for cylindrical radially layered magneto-dielectric structures is proposed in this paper. Electric, magnetic dipoles and their combinations as field sources are discussed. Segments of radial lines of electric and magnetic type, the matrix of transmission line segments and boundaries between layers are used as a model of radially inhomogeneous structure of the lens. For the calculation of the far field characteristics of the antenna the method of steepest descent is used. The proposed approach allowed creating compact and fast algorithms and programs based on them. Comparison of different types of partitioning of the lens structure based on the thickness and dielectric permittivity of the layers is presented and designs, providing maximum gain with the minimum number of layers, are proposed. Luneburg lens gain and radiation pattern for a Huygens element as a radiator are shown. The results can be used to optimize the structure of the lens according to the desired field and polarization characteristics, and can be considered as a first, but sufficiently accurate, approximation for electromagnetic simulators which takes into account the specific design of the radiators. This paper is dedicated to the proposed method of calculation of the antenna parameters for Luneburg lens with radiators of different types. The algorithm is based on Green’s function method for radially layered structures. Fig. 2 presents different types of partitioning of the lens. The comparison of gain of the system for different types of partitioning and size of the lens are shown in Fig. 3. The calculated radiation patterns are presented in Fig. 6 and 7.
Key words: Luneburg lens, Green's function, radiation field, cylindrical lens, layered structure, antenna gain, radiation pattern.

For citation:

A.N.Korotkov, Y.E Mitelman, V.A.Chechetkin, S.N. Shabunin. Calculation of radiation characteristics of the cylindrical Luneburg lens based on Green's functions for radially inhomogeneous media.. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2017, No. 2. Available at http://jre.cplire.ru/jre/feb17/8/text.pdf. (In Russian)