Abstract
Mathematical modeling of the mutual coupling in finite phased array of dipoles with complex shape reflector is developed. The complete set of equations of the mathematical model is formulated as Pocklington integral equation for dipoles current distributions and integral equation of II kind for the scattering field of reflector. Offered compact form of the mathematical model as the set of the functional matrix equations includes special iterative procedure for obtaining the required accuracy and stability of the numerical solution.
Highlights
The mutual coupling of the dipoles in phased array antennas is discussed in Ref. [1, 2]
Well-known approaches for analysis the mutual coupling of the dipoles which dispose in an infinity periodic array can localize some angular directs of array’s pattern
These angular direct characterize effect of array blindness caused of surface wave resonant [2]
Summary
Mathematical modeling of the mutual coupling in finite phased array of dipoles with complex shape reflector is developed. Analysis of the mutual coupling of the dipoles becomes difficult to determine the antenna array radiating field in case of finite complex shape reflector In this case we must consider the appropriate boundary problem to determine current distribution on reflector surface and function of dipoles excitation. For large-size array these approaches is very effective and provides methods of cancellation the surface waves and improvement of mismatching for given frequency band It is important: for small-size arrays (volume of numerical data limited capabilities of computer modeling) we must determine the exact electromagnetic fields of the boundary dipoles, because their current distributions most heavily exposed inhomogeneous mutual coupling. The mostly used radiators for practice antenna systems is dipoles, results of mathematical modeling can obtain the array’s pattern and changes of the array excitation caused the mutual coupling dipoles and reflector.
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