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SCATMECH > Classes and Functions >
Optical Properties and
Materials > Reflection and transmission
coefficients
Reflection and transmission coefficients
A set of functions that return reflection and transmission
coefficients from a single interface.
NOTE: More general
functions, which can account for the existence of
dielectric layers and which account for the wavelength, can
be found in the class dielectric_stack.
Include files:
#include "fresnel.h"
Source code:
fresnel.cpp
See also:
SCATMECH Home,
Conventions, dielectric_stack
Definition of functions:
complex<double> rs( dielectric_constant epsilon, double theta );
complex<double> rp( dielectric_constant epsilon, double theta );
inline double Rs( dielectric_constant epsilon, double theta );
inline double Rp( dielectric_constant epsilon, double theta );
complex<double> ts( dielectric_constant epsilon, double theta );
complex<double> tp( dielectric_constant epsilon, double theta );
double Ts( dielectric_constant epsilon, double thetas );
double Tp( dielectric_constant epsilon, double thetas );
complex<double> sin_internal_angle( optical_constant n, double thetai );
complex<double> cos_internal_angle( optical_constant n, double thetai );
Functions that return the reflection coefficients
for s and p polarized light for a relative
dielectric constant epsilon and incident angle
theta.
Example:
dielectric_constant eps;
double theta;
cout << "Reflection coefficient for s-polarized light: " << rs(eps,theta) << endl;
cout << "Reflection coefficient for p-polarized light: " << rp(eps,theta) << endl;
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Functions that return the reflectance for s and
p polarized light for a relative dielectric
constant epsilon and incident angle theta.
Example:
dielectric_constant eps;
double theta;
cout << "Reflectance for s-polarized light: " << Rs(eps,theta) << endl;
cout << "Reflectance for p-polarized light: " << Rp(eps,theta) << endl;
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Functions that return the transmission coefficients for
s and p polarized light for a relative
dielectric constant epsilon and incident angle
theta.
Example:
dielectric_constant eps;
double theta;
cout << "Transmission coefficient for s-polarized light: " << ts(eps,theta) << endl;
cout << "Transmission coefficient for p-polarized light: " << tp(eps,theta) << endl;
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Functions that return the transmittance for s and
p polarized light for a relative dielectric
constant epsilon and incident angle theta.
Example:
dielectric_constant eps;
double theta;
cout << "Transmittance for s-polarized light: " << Ts(eps,theta) << endl;
cout << "Transmittance for p-polarized light: " << Tp(eps,theta) << endl;
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Functions that return the sine and cosine of the internal
transmission angle, from Snell's law. The optical
constant of the material is n and the incident
angle is thetai, measured in vacuum.
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Current SCATMECH version: 7.22 (April 2021)
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