class Subsurface_Facet_BRDF_Model


The class Subsurface_Facet_BRDF_Model calculates the scattering from large scale roughness of a substrate under a smooth dielectric overcoat. The flakes are assumed to have a specified slope distribution function. The model is similar to Facet_BRDF_Model, except that the facets are assumed to be beneath a refracting interface. The model also can be applied to the scattering from flakes embedded in a dielectric coating.

Diagram showing Subsurface_Facet_BRDF_Model

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 scattering is evaluated in reflection (0) or transmission (1).
(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)
sdf Slope_Distribution_Function Function describing the isotropic two-dimensional distribution of surface slopes.
(Inherited from Facet_BRDF_Model.)
Exponential_Slope_Distribution_Function
stack dielectric_stack Description of any stack of films deposited on the substrate, usually specified by a file. The films are assumed to be conformal and of total thickness much less than the horizontal scale of the roughness.
See dielectric_stack, for more information.
(Inherited from Facet_BRDF_Model).
no films
overcoat dielectric_function The optical constants of the coating above the rough surface, expressed as a complex number (n,k) or, optionally, as a function of wavelength. The coating's absorption coefficient (k) must be zero. (1.59,0.0)
overcoat_stack dielectric_stack Description of any stack of films deposited on top of the coating, usually specified by a file. The films are assumed to be conformal and to not be rough.
See dielectric_stack, for more information.
no films

See also:

SCATMECH Home,   Conventions,   Facet_BRDF_Model,   dielectric_stack

T.A. Germer and M.E. Nadal, " Modeling the appearance of special effect pigments," in Surface Scattering and Diffraction for Advanced Metrology, Z.-H. Gu and A.A. Maradudin, Eds., Proc. SPIE 4447, in press (2001).

T.A. Germer and E. Marx, "Ray model of light scattering by flake pigments or rough surfaces with smooth transparent coatings," Appl. Opt. 43(6), 1266-1274 (2004).

Include file:

#include "flake.h"

Source code:

flake.cpp

Definition of public elements:

class Subsurface_Facet_BRDF_Model
  : public Facet_BRDF_Model
{
    virtual double local_angle(double thetai,double thetas,double phis);
    virtual double local_slope(double thetai,double thetas,double phis);
};


virtual double local_angle(double thetai,double thetas,double phis)

A function which returns the local angle of incidence on a surface facet. It overloads the function of the same name provided by Facet_BRDF_Model.

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virtual double local_slope(double thetai,double thetas,double phis)

A function which returns the local slope of a surface facet reflecting in the specified geometry. It overloads the function of the same name provided by Facet_BRDF_Model.

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Current SCATMECH version: 6.00 (February 2008)
This page first online: Version 3.00 (December 2001)
This page last modified: Version 6.00 (February 2008)