TAILIEUCHUNG - Advanced Microwave Circuits and Systems Part 2

Tham khảo tài liệu 'advanced microwave circuits and systems part 2', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 24 Advanced Microwave Circuits and Systems S1ios s S33OS -yS33 S21OS S43OS S21TH S43TH Fig. 10. Characteristics of the THRU Fig. 9a after performing the thru-only S11TH S33TH S21TH S43TH or open-short S11OS S33OS S21OS S43OS de-embedding Amakawa et al. 2008 . Fig. 10 shows the de-embedded characteristics of a symmetric THRU itself Fig. 9a . The reflection coefficients obtained by the proposed method S11TH and S33TH stay very close to the center of the Smith chart and the transmission coefficients S21TH and S43TH at its right end as they should. Fig. 11 shows even- and odd-mode transmission coefficients for a pair of 1 mm-long transmission lines shown in Fig. 9 b . A comparatively large difference is seen between the results from the two de-embedding methods for the even mode. One likely cause is the nonideal behavior of the SHORT Goto et al. 2008 Ito Masu 2008 . The odd-mode results on the other hand agree very well indicating the immunity of this mode and the differential mode to the problem that plague the even mode and the common mode . 6. Decomposition of a 2n-port into n 2-ports The essential used idea in the previous section was to reduce a 4-port problem to two independent 2-port problems by mode transformation. The requirement for it to work was that the 4 X 4 S matrix of the THRU dummy pattern a pair of nonuniform TLs have the even odd symmetry and left right symmetry. This development naturally leads to the idea that the same de-embedding method should be applicable to 2n-ports where n is a positive integer provided that the S-matrix of the THRU n coupled nonuniform TLs can somehow be block-diagonalized with 2 X 2 diagonal blocks Amakawa et al. 2009 . Modal analysis of multiconductor transmission lines MTLs have been a subject of intensive study for decades Faria 2004 Kogo 1960 Paul 2008 Williams et al. 1997 . MTL equations are typically written in terms of per-unit-length equivalent-circuit parameters. Experimental characterization of MTLs therefore .

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