With the increasing application of metal diaphragm waveguide circular polarizers in satellite communications, in view of the difficulty in strictly solving the electromagnetic characteristics of metal diaphragms in waveguides, an analysis and optimization method using multiple Lagrange interpolation and optimal consistent polynomial approximation is proposed. Through network cascade solution, the parameters, structural design and performance simulation results of 8 pairs of diaphragm dual-frequency dual circular polarizers that meet engineering applications are obtained at a very fast speed. The axial ratio can theoretically reach 0 dB at the two-point frequency of 3:2, and the axial ratio is less than 0.5 dB within the 4% bandwidth of the two frequency points. If the number of diaphragms is increased, the performance can be further improved.
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