Approximate analytical method for hexagonal slot frequency selective surface analysis

Abstract

In this article, an efficient approximate analytical method for hexagonal slot frequency selective surface (FSS) analysis is proposed. The main contribution of this article is to derive the tangential incident electric field along each oblique strip complementary to the hexagonal slot, so that Kirchhoff type circuit can be established according to the transmission line parameters and distributed sources. The current distribution is solved using Kirchhoff current law and continuity condition for potential. The transmission characteristic can then be calculated following Munk's scheme. Meanwhile, the physical nature of Munk's scheme is studied. The periodic circuit equations are derived from the corresponding electromagnetic field boundary conditions. The approximate closed-form expressions for aperture field and patch surface current distribution of common FSS elements can be calculated by the method of moments. From the analysis, it is known that the receiving current and transmitting current corresponds to the basis function and test function, respectively. Measured and simulated results of a symmetric hybrid radome composed of hexagonal slot are carried out to verify the accuracy and efficiency of the presented method. The CPU time is about 600 and 0.4 second for CST and the proposed method, respectively.

Power Handling of Slot Loop Frequency Selective Surface Based on Approximate Analytical Method

“…b) The receiving current is used as basis function and test function to eliminate the calculation of transmitting current. The construction of the efficient equivalent transmission line method for FSS can be done by following the procedure described in [14].…”

“…PMM method solves the problem by the mutual impedance approach which is closely associated with the method of moments. However, it results in a high-order matrix equation which is time consuming to solve [13,14]. Although the current distribution of the FSS element can be calculated by full-wave simulation, the equivalent circuit method (e.g., theory of Maxwellian circuits proposed by Mei [15][16][17] and antenna current proposed by Schelkunoff and Friis [18]) is also efficient.…”

Antenna Current Calculation Based on Equivalent Transmission Line Model

“…Numerical methods, such as method of moment (MoM), are usually applied to calculate the transmitting current of dipole antenna. However, the current distribution calculated is in numerical form, which cannot be directly used for frequency-selective surface (FSS), where the analytical current distribution is needed [ 1 , 2 , 3 , 4 , 5 , 6 , 7 ]. Two promising approximate analytical methods for FSS are the periodic method of moment (PMM) and multimodal network approach.…”