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         SCATMECH > Classes and Functions >
        Surface Scattering Models
        > RCW_BRDF_Model 
	class
        RCW_BRDF_Model
         
	
        The class RCW_BRDF_Model provides a BRDF_Model 
	interface to the RCW_Model.  Since a periodic structure 
	yields delta-function-like peaks in the BRDF, the BRDF cannot be strictly evaluated
	for such a structure. However, it is sometimes useful to provide a mechanism for
	evaluating an effective BRDF.  This model provides that interface by spreading the 
	power of each diffracting order uniformly over a conical solid angle whose 
	half-angle is given by the parameter alpha.
         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) | 
           
          
            | alpha | 
            double | 
            The half-angle of 
	    a cone over which the power diffracted into 
	    each order is assumed to be spread [rad]. | 
            0.0175 | 
           
          
            | order | 
            int | 
            The
            Fourier order considered in the calculation. The
            calculation will expand the electric and magnetic fields in a
            layer from -order to order. | 
            25 | 
           
          
            | grating | 
            Grating_Ptr | 
            A
            description of the grating profile and optical
            properties. | 
            Single_Line_Grating | 
           
          
        See also:
        SCATMECH Home,   Conventions,   BRDF_Model,   
	RCW_Model,  
	Grating 
        M.G. Moharam, E.B. Grann, D.A. Pommet, and T.K. Gaylord,
        "Formulation for stable and efficient implementation of the
        rigorous coupled-wave analysis of binary gratings," J. Opt.
        Soc. Am. A 12, 1068-1076 (1995). 
        P. Lalanne and G.M. Morris, "Highly improved convergence of
        the coupled-wave method for TM polarization" J. Opt. Soc.
        Am. A 13, 779-784 (1996). 
	G. Granet and B. Buizal, "Efficient implementation of the coupled-wave method 
	for metallic lamellar gratings in TM polarization," J. Opt. Soc. Am. A 13, 1019-1023 (1996). 
	L. Li, "Use of Fourier series in the analysis of discontinuous periodic structures," J. Opt. Soc. Am. A 13, 1870-1876 (1996). 
	Include file:
          
#include "rcw.h"
 
        Source code:
          
rcw.cpp
 
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