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## Transmission lines and transmission line resonators

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Open Resonator Microwave Sensor Systems for Industrial Gauging: A practical design approach — Recommend this title to your library

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Transmission lines are arrangements of conductors whose purpose is the transfer of power or information from a source to a load, both of which should be viewed as generic. That is, the source may well be a generator but it can equally be the output of a device such as a transmitter, a receiving antenna, or an amplifier, whereas the load can be any device or system that receives the power or information such as a resistor, a transmitting antenna, or an actuator. Transmission lines differ from the common circuit theory approach to transfer of power. In circuits, we usually assume a lumped parameter model, that is, a line, connecting two points in a circuit has some resistance, capacitance, inductance, and conductance that depend on the type of line, materials, and dimensions, but these are the total values for the whole line.

Chapter Contents:

• 2.1 Introduction
• 2.2 The transmission line
• 2.3 Transmission line parameters
• 2.3.1 Calculation of line parameters
• 2.4 The transmission line equations
• 2.4.1 Time-domain transmission line equations
• 2.5 Types of transmission lines
• 2.5.1 The lossless transmission line
• 2.5.2 The long transmission line
• 2.5.3 The distortionless transmission line
• 2.5.4 The low-resistance transmission line
• 2.6 The field approach to transmission lines
• 2.7 Finite transmission lines
• 2.7.1 The load reflection coefficient
• 2.7.2 Line impedance and the generalized reflection coefficient
• 2.7.3 The lossless, terminated transmission line
• 2.7.4 The lossless, matched transmission line
• 2.7.5 The lossless, shorted transmission line
• 2.7.6 The lossless, open transmission line
• 2.7.7 The lossless, resistively loaded transmission line
• 2.8 Power relations on a general transmission line
• 2.9 Passive transmission line circuits
• 2.9.1 Impedance matching
• 2.9.2 Power dividers
• 2.9.2.1 The lossless T-junction power divider
• 2.9.2.2 The lossy T-junction power divider
• 2.9.2.3 The Wilkinson power divider
• 2.9.3 Directional couplers
• 2.9.4 Antennas and probes
• 2.9.5 Attenuators
• 2.9.6 Other circuits
• 2.10 Transmission line resonators
• 2.10.1 The concept of resonance
• 2.10.2 The series RLC circuit
• 2.10.3 Parallel resonant circuit
• 2.11 Series and parallel transmission line resonators
• 2.11.1 Short-circuited λ/2 transmission line resonator
• 2.11.2 Open-circuited λ/2 transmission line resonator
• 2.11.3 Additional properties of transmission line resonators
• 2.11.4 Tapped transmission line resonators
• 2.12 The Smith chat
• Bibliography

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