Design issues related to implementation of the scattering optimization method for aperiodic gratings are discussed. Critical design parameters are highlighted and it is shown how their selection affects the final grating structure. The aperiodic grating design technique is then implemented to develop a grating for TE$-11$/ to TE$-11$/ mode conversion in a circular waveguide at 20 GHz. The length of the grating is 19cm and it has a conversion efficiency of 98.34%.
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