newAD2 - optical characterization software

Functions

newAD2 provides three types of functions that can be used in the functions section.

Functions over Mueller matrices

They are used to obtain the quantity corresponding to a given measurement type from the Mueller matrix of the measurement, mueller_matrix, defined in the sample measurements section.

• IsIcIn(mueller_matrix)

  The function IsIcIn assumes that the previously defined Mueller matrix corresponds to a measurement on a sample with the highest symmetry (isotropic). This function then returns the three independent values of the normalized matrix, \(I_{\rm s}\), \(I_{\rm c}\) and \(I_{\rm n}\):

  $$ M =\left( \begin{array}{cccc} 1 & -I_{\rm n} & 0 & 0 \\ -I_{\rm n} & 1 & 0 & 0 \\ 0 & 0 & I_{\rm c} & I_{\rm s} \\ 0 & 0 & -I_{\rm s} & I_{\rm c} \\ \end{array} \right) \,. $$

• M00(mueller_matrix)

  M00 (alternative name R or T) is a function that returns the \(M_{00}\) element of the Mueller matrix, corresponding to the average intensity of the s- and p-polarized components. Depending on the type of the Mueller matrix of the measurement, it corresponds to reflectance or transmittance, respectively.

• Mp(mueller_matrix)

  The function Mp returns the sum \(M_{00} + M_{01}\) of the Mueller matrix elements, corresponding to the total intensity of the p-polarized component.

• Ms(mueller_matrix)

  The function Ms returns the difference \(M_{00} - M_{01}\) of the Mueller matrix elements, corresponding to the total intensity of the s-polarized component.

• Mueller(mueller_matrix)

  The function returns the whole Mueller matrix (i.e. all 16 elements).

• NMueller(mueller_matrix)

  The function returns the normalized Mueller matrix (15 elements in total, excluding \(M^0_{00}\), which is equal to 1).

Meta functions

They take other functions as their argument.

• Add(function1, function2)

  Returns the sum of the functions, \(f_1 + f_2\).

• Difference(function1, function2)

  Returns the difference of the functions, \(f_1 - f_2\).

• Product(function1, function2)

  Returns the product of the functions, \(f_1 \cdot f_2\).

• Ratio(function1, function2)

  Returns the ratio of the functions, \(f_1 / f_2\).

Functions for computing optical constants

These functions take as their argument a medium defined in the media section (represented by a \(3\times3\) complex dielectric tensor).

• OC(medium)

  The function OC returns the complex refractive index for medium. It assumes that the input dielectric tensor is isotropic, and therefore computes \(\sqrt{\hat{\varepsilon}_{11}}\).

• DF(medium)

  The function DF returns the complex dielectric function for medium. It assumes that the input dielectric tensor is isotropic.

• F(medium)

  The function F returns the complex transition strength function for medium. It assumes that the input dielectric tensor is isotropic.