PlanarQuasiStaticResult

class pmrf.models.components.lines.planar.PlanarQuasiStaticResult(ep_eff: jnp.ndarray, zc: jnp.ndarray, w_eff: jnp.ndarray, shunt_conductance_factor: jnp.ndarray)

Bases: Module

Quasi-static solution of a single-conductor planar line over a ground plane.

Contains the effective permittivity, characteristic impedance, effective conductor width, and static-conductivity geometry factor.

Parameters:

• ep_eff (jnp.ndarray) – Complex effective relative permittivity, shape (npoints,).

• zc (jnp.ndarray) – Quasi-static characteristic impedance in ohms, \(Z_a/\sqrt{\varepsilon_e}\).

• w_eff (jnp.ndarray) – Electromagnetic effective conductor width in meters.

• shunt_conductance_factor (jnp.ndarray) – Geometry factor multiplying static conductivity, in meters.

to_immittance(freq: Frequency, dielectric: DielectricProperties, conductor: ConductorProperties, current_distribution: AbstractCurrentDistribution, cross_section: AbstractPlanarCrossSection) → ImmittanceResult

Convert the quasi-static solution to per-unit-length immittance.

The external inductance and the shunt admittance follow from the quasi-static impedance and effective permittivity. Surface impedance is charged through the supplied current-distribution strategy:

\[Z = \frac{j\omega Z_c \sqrt{\varepsilon_e}}{c} + Z_s K_c \qquad Y = \frac{j\omega \sqrt{\varepsilon_e}}{Z_c c}\]

The current distribution supplies surface impedances and geometry weights. Complex \(\varepsilon_e\) contributes dielectric loss through the real part of \(Y\).

Parameters:

• freq (Frequency) – The frequency axis.

• dielectric (DielectricProperties) – Evaluated relative permittivity and permeability.

• conductor (ConductorProperties) – Evaluated conductor properties.

• current_distribution (AbstractCurrentDistribution) – The strategy that charges surface impedance into \(Z\). It must be written for the family cross_section belongs to.

• cross_section (AbstractPlanarCrossSection) – The line’s frozen cross-section record.

Returns:

The series impedance and shunt admittance.

Return type:

ImmittanceResult

References

Pozar, D. M. (2011). Microwave Engineering (4th ed.), Section 3.8. Wiley.

ep_eff: Array

Complex effective relative permittivity

shunt_conductance_factor: Array

Geometry factor multiplying static conductivity

w_eff: Array

Effective conductor width in meters

zc: Array

Quasi-static characteristic impedance in ohms