By V. Zhurbenko
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Extra info for Advanced Microwave Circuits and Systems
2008). The numerical values 28 Advanced Microwave Circuits and Systems 310 30 25 1, 5 4, 8 200 210 30 30 2, 6 3, 7 30 25 15 30 340 560 Fig. 15. Schematic cross section of the 1 mm-long 4 coupled TLs (not to scale), labeled with port numbers. Dimensions are in µm. Relative dielectric permittivity is 4. 9 × 107 (Ω · m)−1 . , 2009). 15 Fig. 16. , 2009). 324j THRU (Fig. 000j . 123j The reference impedance matrices are Z0e/o = Z˜0 = 50 · 14 . The upper diagonal block in Se/o is the even-mode S matrix and the lower diagonal block is the odd-mode S matrix.
Even-mode (broken lines) and odd-mode (solid lines) transmission coefficients for a pair of transmission lines (Fig. , 2008). Our goal is to transform a 2n × 2n scattering matrix S into the following block-diagonal form: S˜ = Sm1 .. . Smn , (62) where Smi are 2 × 2 submatrices, and the rest of the elements of S˜ are all 0. The port numbering for S˜ is shown in Fig. 12 with primes. Note that the port numbering convention adopted in this and the next Sections is different from that adopted in earlier Sections.
2005). Once the foundations of the 2-port method are more firmly established, the multiport method can be used with greater confidence. 30 Advanced Microwave Circuits and Systems S11d S51d S33d S73d S11r S51r S33r S73r S33 S11 S73 S51 Fig. 19. Reference characteristics of the 4 coupled TLs (with a subscript r) and the deembedded results. (with a subscript d). , 2009). 9. Acknowledgments The authors thank H. Ito, T. Sato, T. Sekiguchi, and K. Yamanaga for useful discussions. , and Mentor Graphics, Inc.
Advanced Microwave Circuits and Systems by V. Zhurbenko