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Lossless Resonator, 1/Open/Open/2, Admittance Model (QLAE3)

Lossless Resonator, 1/Open/Open/2, Admittance Model (QLAE3)

Properties	Description	Units	Default	Range
F	Frequency at which the line is ¼ wavelengths long	Hz	Required	> 0
Z0	Characteristic impedance of a unit element (UE)	Ohms	Required	> 0
Y1	Characteristic admittance of the open stub at node n1	Sie	Required	> 0
Y2	Characteristic impedance of the open stub at node n2	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.

The input parameters Z0 and Y1, and Y2 are for the single-line equivalent:

Netlist Form

QLAE3:NAME n1 [n2] F=val Z0=val Y1=val Y2=val

Netlist Example

QLAE3:QLAE31 1 2 F=4GHZ Z0=50 Z1=0.025 Z2=0.025

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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