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Lossless Resonator, 1/Open/2/Open (QLAE6)

Lossless Resonator, 1/Open/2/Open (QLAE6)

Properties	Description	Units	Default	Range
F	Frequency at which line is ¼ wavelength long	Hz	Required	> 0
Y1	Characteristic admittance of series OST at node n1	Sie	Required	> 0
Y2	Characteristic admittance of series OST at node n2	Sie	Required	> 0
Y3	Characteristic admittance of parallel OST	Sie	Required	> 0

Notes

1. This element is valid only in homogeneous media (e.g., stripline); otherwise, the following basic assumptions cannot be made:

2. Decomposition into even- and odd- modes for asymmetric lines

3. Equal even- and odd-mode phase velocities.

4. To realize the structures as coupled lines requires a calculation of the even- and odd-mode immittances (impedance and admittance,) given the values of the parameters for the equivalent single-line models.

5. The input parameters Z1 and Z2, and Z3 are for the single-line equivalent:

Netlist Form

QLAE6:NAME n1 [n2] F=val Y1=val Y2=val Y3=val

Netlist Example

QLAE6:QLAE61 1 2 F=4GHZ Y1=(1/40) Y2=(1/40) Y3=(1/50)

is equivalent to:

CPL: 1 2 3 4 ZE=140 ZO=40 E=90 F=4GHZ

References

1. R. J. Wenzel, “Exact Design of TEM Microwave Networks Using Quarter-Wave Lines,” IEEE Transactions on Microwave Theory and Techniques, vol MTT-12, No. 1, January 1964; pp. 94-111. (Correction in MTT-18, No. 11, p. 1005;. November 1970)

2. G. Matthei, L. Young, and E. M. T. Jones, “Microwave Filters, Impedance-Matching Networks, and Coupling Structures,” Artech House Books, pp. 214-229; 1980.

3. Edward G. Cristal, “Coupled-Transmission-Line Directional Couplers with Coupled Lines of Unequal Characteristic Impedances,” IEEE Transactions on Microwave Theory and Techniques, vol MTT-14, No. 7, pp. 337-346; July 1958.

4. H. Ozaki and J. Ishii, “Synthesis of a class of Stripline Filters,” IRE Transactions on Circuit Theory, vol CT-5, No. 2, pp. 104-109; June 1958.

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