Wideband coupled-line ring hybrids are presented for high power-division ratios. For this, an equivalent circuit to make the characteristic impedance of a transmission-line section lower is firstly investigated, based on a Π-type lumped-element equivalent circuits. Design formulas of four types of equivalent circuits (LΠ-,LT-,LS2-, andLS1-types) are then derived, andNis introduced for more design flexibility and wideband performance. TheLS2-type withN=1 is composed of one transmission-line section and two identical series inductances at both ends, which cannot be used for the ring hybrids with the high power-division ratios. To avoid the problem, modifiedLS2-type (MLS2-type) withNis additionally suggested, and that withN=1 is intensively discussed. Using two of those,LS1-type withN=2 andMLS2-type withN=1, the coupled-line ring hybrids with 13- and 11-dB power-division ratios are fabricated. The measured results show good agreement with those predicted.
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Ahn et al. (2013) studied this question.
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