In this paper, compact low-temperature co-fired ceramic (LTCC) rat-race couplers are developed using multilayered phase-delay and phase-advance T-equivalent sections. By taking advantage of the multilayered LTCC layout capability, compact 3-D phase-delay and phase-advance T-equivalent sections are designed, and then treated as fundamental elements to construct two types of LTCC rat-race couplers. One type of coupler consists of three phase-delay and a phase-advance sections, whereas the other type coupler is integrated by a phase-delay and three phase-advance sections. At the design frequency 2 GHz, both two types of couplers occupy 3.8 × 3.8 mm 2 circuit sizes, namely areas of 0.025 ¿ 0 × 0.025 ¿ 0 , where ¿ 0 is the free-space wavelength. The measured results of the developed couplers agree the simulated results very well. It demonstrates that using multilayered phase-delay and phase-advance T-equivalent sections is an effective approach to miniaturize the circuit size of the rat-race coupler.
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Chao‐Hsiung Tseng (2010) studied this question.
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