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         SCATMECH > Classes and Functions >
        Surface Scattering Models
        > Double_Interaction_BRDF_Model 
	class Double_Interaction_BRDF_Model
        
         
        The class Double_Interaction_BRDF_Model
        implements the double interaction model for light
        scattering from a spherical particle above a surface. This is a ray tracing approximation and
	  does not consider the interaction between the particle and its image in the substrate.
	
  
         
           
          
	  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) | 
           
          
            | density | 
            double | 
            The
            surface number density of local scatterers
            [µm-2]. 
            (Inherited from Local_BRDF_Model.) | 
            1 | 
           
          
            | stack | 
            StackModel_Ptr | 
            Description of any stack
            of films deposited on the substrate. | 
            No_StackModel | 
           
          
            | distance | 
            double | 
            The
            distance from the surface to the center of the particle
            [µm]. For a sphere touching a surface, the
            distance should be the same as the sphere's
            radius. This parameter should be at least as large as the radius of the particle, if the particle is spherical. | 
            0.05 | 
           
          
            | scatterer | 
            Free_Space_Scatterer_Ptr | 
            The model
            describing the scattering by a particle. The medium surrounding the sphere (scatterer.medium) must be the same as the substrate 
	      (substrate), and the wavelength (scatterer.lambda) must match the model wavelength (lambda).
	      
  | 
            MieScatterer | 
           
          
            | alpha | 
            double | 
            The rotation of the 
	    particle about the z-axis [rad]. This parameter only has an 
	    effect if the particle is non-axially symmetric. (Note that all models currently inheriting Free_Space_Scatterer are axially symmetric.)
             | 
            0 | 
           
          
            | beta | 
            double | 
            The rotation of the 
	    particle about the y-axis [rad]. This rotation 
	    follows the rotation alpha about the 
	    z-axis.  This parameter only has an 
	    effect if the particle is non-spherical. To further rotate the particle about the z-axis after rotation about the y-axis, the 
	    user should evaluate the scattering in a rotated geometry.
             | 
            0 | 
           
         
        See also:
        SCATMECH Home,   Conventions,   BRDF_Model,   Local_BRDF_Model,   Abstract class SphericalScatterer,  
        class RayleighScatterer,  
        class RayleighGansScatterer,
          class MieScatterer,  
        dielectric_stack 
        K. B. Nahm and W. L. Wolfe, "Light-scattering models for
        spheres on a conducting plane: comparison with experiment,"
        Appl. Opt. 26, 2995-2999 (1987). 
        T. A. Germer, "Angular
	 dependence and polarization of
        out-of-plane optical scattering from particulate
        contamination, subsurface defects, and surface
        microroughness," Appl. Opt. 36, 8798-8805
        (1997). 
	Include file:
          
#include "sphprt.h"
 
        Source code:
          
sphprt.cpp
 
        Definition of public elements:
          
class Double_Interaction_BRDF_Model
    : public Local_BRDF_Model
{
};
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