Skip to content
Flex RF Flex RF Flex RF

flex_rf.tidy3d.HuraySurfaceRoughness

Type: class │ Base(s): AbstractSurfaceRoughness

Description

Section titled “Description”

Huray surface roughness model.

Notes

Section titled “Notes”

The power loss compared to smooth surface is described by:

AmatteAflat+32∑ifi/[1+δri+δ22ri2]\frac{A_{matte}}{A_{flat}} + \frac{3}{2}\sum_i f_i/[1+\frac{\delta}{r_i}+\frac{\delta^2}{2r_i^2}]

where δ\delta is skin depth, rir_i the radius of sphere, AmatteAflat\frac{A_{matte}}{A_{flat}} the relative area of the matte compared to flat surface, and fi=Ni4πri2/Aflatf_i=N_i4\pi r_i^2/A_{flat} the ratio of total sphere surface area (number of spheres NiN_i times the individual sphere surface area) to the flat surface area.

This model is based on:

J. Eric Bracken, “A Causal Huray Model for Surface Roughness”, DesignCon, 2012.

Parameters

Section titled “Parameters”
coeffs [tuple[tuple[PositiveFloat, PositiveFloat], ...]]

List of (fi,rif_i, r_i) values for model, where fif_i is the ratio of total sphere surface area to the flat surface area, and rir_i the radius of the sphere.
relative_area [PositiveFloat] = 1

Relative area of the matte base compared to a flat surface

Methods

Section titled “Methods”
from_cannonball_huray(radius: float)

Construct a Cannonball-Huray model.
roughness_correction_factor(frequency: ArrayFloat1D, skin_depths: ArrayFloat1D)

Complex-valued roughness correction factor applied to surface impedance.

Machine-Readable Export

Section titled “Machine-Readable Export”