class Microroughness_BRDF_Model


The class Microroughness_BRDF_Model implements the solution to first-order vector perturbation, or Rayleigh-Rice, theory for roughness in the smooth surface limit for a single interface with no films. It inherits the properties of Roughness_BRDF_Model, which supplies the model with the power spectral density (PSD) function of the surface roughness.

Illustration of Microroughness_BRDF_Model, showing a single rough surface between a substrate and vacuum.

Parameters:

Parameter Data Type Description Default
lambda double Wavelength of the light in vacuum [µm].
(Inherited from BRDF_Model).
0.532
type int Indicates whether the light is incident from above the substrate or from within the substrate and whether the scattering is evaluated in reflection or transmission. The choices are:
0 : Light is incident from the above the substrate, and scattering is evaluated in reflection.
1 : Light is incident from the above the substrate, and scattering is evaluated in transmission.
2 : Light is incident from the within the substrate, and scattering is evaluated in reflection.
3 : Light is incident from the within the substrate, and scattering is evaluated in transmission.
For 1, 2, and 3, the substrate must be non-absorbing.
(Inherited from BRDF_Model).
0
substrate dielectric_function The optical constants of the substrate, expressed as a complex number (n,k) or, optionally, as a function of wavelength.
(Inherited from BRDF_Model).
(4.05,0.05)
psd PSD_Function_Ptr The two-dimensional power spectrum of the surface height function [µm4].
(Inherited from Roughness_BRDF_Model).
ABC_PSD_Function

See also:

SCATMECH Home,   Conventions,   BRDF_Model,   Roughness_BRDF_Model

D. E. Barrick, Radar Cross Section Handbook, (Plenum, New York, 1970).
J. C. Stover, Optical Scattering: Measurement and Analysis, (SPIE Optical Engineering Press, Bellingham, WA, 1995).
S. O. Rice, "Reflection of electromagnetic waves from slightly rough surfaces," Commun.Pure Appl. Math. 4, 351 (1951).
E. L. Church and J. M. Zavada, "Residual surface roughness of diamond-turned optics," Appl. Opt. 14, 1788 (1975).
E. L. Church, H. A., Jenkinson, and J. M. Zavada, "Measurement of the finish of diamond-turned metal surfaces by differential light scattering," Opt. Eng. 16, 360 (1977).
E. L. Church, H. A., Jenkinson, and J. M. Zavada, "Relationship between surface scattering and microtopographic features," Opt. Eng. 18, 125 (1979).

Include file:

#include "urough.h"

Source code:

urough.cpp

Definition of public elements:

class Microroughness_BRDF_Model
 : public Roughness_BRDF_Model
{
};

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Current SCATMECH version: 7.22 (April 2021)