D. M. Pozar, Microwave Engineering, 4th ed.
Lumped matching, transmission lines and S parameters.
RF-06
All five chapters available
Matching networks and passive microwave design
Derive realizable impedance transformations at microwave frequencies, synthesize matching circuits from signed reactance and susceptance, and validate losses, bandwidth and measurement reference planes.
5 / 5All five chapters available
Prerequisites
- RF-01
- RF-04
- RF-05
Learning goals
- Define input matching for a real-positive reference resistance and distinguish source conjugate matching.
- Deduce the correct topology when the load resistance exceeds the source resistance.
- Deduce the reversed topology when the source resistance exceeds the load resistance.
- Derive B and X from nodal admittance and complex impedance, without memorizing recipes.
- Translate the two signed solutions into physically positive L and C values.
- Compute an ideal 50-to-200 Ω transformation at 1 GHz and check its input impedance.
- Compute the reversed 200-to-50 Ω case from its own admittance equation.
- Distinguish the ideal center-frequency match from bandwidth and dissipation.
- Explain VNA S11 calibration and why measuring insertion loss also requires a two-port fixture.
- Document component tolerances, substrate/fixture parasitics and experimental uncertainty.
Course chapters
Matching networks and passive microwave design
All five chapters are published with derivations and worked exercises.
- 01→
L-section impedance matching: topology, exact derivation and VNA check
Choose the physically realizable shunt/series order, derive both sign branches, build 50-to-200 Ω and 200-to-50 Ω circuits at 1 GHz, and audit loss and bandwidth.
190–250 min · Intermediate to advanced - 02→
Pi and T matching networks
Derive and build low-pass Pi/T transformations from virtual-resistance constraints, exact node equations and measured reference planes.
220–300 min · Advanced - 03→
Single- and double-stub impedance matching
Guided-line admittance, open/short stubs, single- and double-tee transformations, Smith charts and forbidden regions.
240–320 min · Advanced - 04→
Distributed resonators and microwave filters
Standing-wave boundaries, quarter/half-wave modes, unloaded and loaded Q, coupling extraction and a two-pole Butterworth design.
250–330 min · Advanced - 05→
Microwave losses, bandwidth and practical constraints
Conductor/dielectric loss, skin effect, distributed attenuation, manufacturing tolerances, SOLT/TRL calibration and de-embedding.
260–340 min · Advanced
Scientific references
References
Derivations assume positive real resistances and ideal reactive elements unless indicated otherwise.
R. E. Collin, Foundations for Microwave Engineering, 2nd ed.
Network analysis and microwave power relations.