By Stephen A Maas
This paintings offers microwave and RF know-how from a circuit layout standpoint, instead of a suite of electromagnetic difficulties. The emphasis is on gaining a pragmatic knowing of usually ignored yet important actual methods.
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Extra resources for Practical Microwave Circuits
3] D. M. Pozar, Microwave Engineering, New York: Addison Wesley, 1990. 4] Collin, R. , New York: McGraw-Hill, 1996. 5] S. A. Maas, The RF and Microwave Circuit Design Cookbook, Norwood, MA: Artech House, 1998. , and R. Jansen, “Accurate Model of Effective Dielectric Constant of Microstrip With Validity Up to Millimeter Wave Frequencies,” Electron. , Vol. 18, 1982, p. 272. , and S. Maas, “Performance of Microstrip Couplers on an Anisotropic Substrate with an Isotropic Superstrate,” IEEE Trans. , Vol.
Our analysis is for an ideal coupler, one which has no losses and the even- and odd-mode phase velocities are equal, so θ = θ = θ. We first e o 37 Coupled Transmission Lines and Modal Analysis consider the conditions for an input match. 2. 4), respectively. 12) = Z , Z = Z , as desired. 13) is the condition for matched ports. To find an expression for the coupling, in terms of voltage, we need to find V / V . 7). 20) and, finally, we can use that process to show that the voltage at port 3 is zero.
2 In the absence of radiation, however, its losses are fairly low, as its characteristic impedance is high (usually several hundred ohms) so the currents are relatively low, for a given power level. Its dimensions are generally large compared to other practical transmission lines. Parallel-wire line is sometimes used to feed large, low-frequency dipole antennas. A 300-ohm “twin lead,” a parallel-wire line embedded in polyethylene dielectric, was commonly used for television antenna lead-in cables until the mid-1980s.