Transmission lines¶
A transmission line is a specialized cable or other structure designed to conduct electromagnetic waves in a contained manner. The term applies when the conductors are long enough that the wave nature of the transmission must be taken into account.
Transmission matrix
The transmission matrix is one of the ways to describe a microwave device. The \(ABCD\)-parameters of the device act as elements of this matrix. The matrix equation relates the input voltage and input current to the output voltage and output current.
Scattering matrix
The scattering matrix is one of the ways to describe a microwave device. The \(S\)-parameters of the device act as elements of this matrix. The matrix equation relates the waves reflected from the input and output to the waves incident on the input and output.
Contents:
- Coplanar lines
- Effective permittivity of coplanar transmission line when distance is greater than thickness
- Effective permittivity of coplanar transmission line when distance is less than thickness
- Wave impedance of coplanar line when hyperbolic sine ratio squared is between \(0\) and \(\frac{1}{2}\)
- Wave impedance of coplanar line when length to distance ratio squared is between \(\frac{1}{2}\) and \(1\)
- Microstrip lines
- Attenuation coefficient in dielectric substate of microstrip line
- Attenuation coefficient in metal of microstrip line when width is greater than thickness
- Attenuation coefficient in microstrip metal when thickness is greater than width times \(2 \pi\)
- Attenuation coefficient in microstrip metal when thickness is less than width times \(2 \pi\)
- Effective permittivity of microstrip line when width is greater than thickness
- Effective permittivity of microstrip line when width is less than thickness
- Effective permittivity of microstrip line from frequency
- Effective width of microstrip line when width is greater than thickness
- Effective width of microstrip line when width is less than thickness
- Inductance of microstrip line strip
- Resistance of microstrip line
- Short circuit inductance of microstrip line
- Surge impedance of microstrip line from frequency
- Standing wave ratio from reflection coefficient
- Standing wave ratio from voltage
- Hybrid parameters matrix equation
- Impedances of π-type circuit of transmission line
- Impedances of T-type circuit of transmission line
- Input impedance from transmission matrix
- Input impedance of lossless transmission line
- Input impedance of lossy transmission line
- Reflection coefficient from ratio of average power to incident power
- Standing wave ratio from ratio of average power to incident power
- Reflection coefficient from load and surge impedance
- Scattering matrix equation
- Scattering matrix to transmission matrix
- Admittance matrix equation
- Impedance matrix equation
- Transmission matrix equation
- Transmission matrix for parallel load in line
- Transmission matrix for serial load in line
- Transmission matrix of lossless transmission line
- Transmission matrix of lossy transmission line
- Transmission matrix of π-type matrix
- Transmission matrix of T-type circuit
- Surge impedance of microstrip line when effective width is greater than substrate thickness
- Surge impedance of microstrip line when effective width is less than substrate thickness