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         SCATMECH > Classes and Functions >
        Surface Scattering Models
        > Subsurface_Facet_BRDF_Model 
	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.
	
  
         
           
        
	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. 
	      Subsurface_Facet_BRDF_Model only supports type=0. 
            (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 | 
            StackModel_Ptr | 
            Description of any stack
            of films deposited on the substrate. The films are assumed to be conformal and of
            total thickness much less than the horizontal scale of
            the roughness. 
            (Inherited from Facet_BRDF_Model). | 
            No_StackModel | 
           
          
            | 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 | 
            StackModel_Ptr | 
            Description of any stack
            of films deposited on top of the coating. The films are assumed to be
            conformal and to not be rough.
             | 
            No_StackModel | 
           
         
        
        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, 77-86 (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);
};
         
        
        
          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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          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: 7.22 (April 2021) 
 
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