newAD2 - program pro optickou charakterizaci

Yehovy matice

Yehovy matice reprezentující povrchy systémů a mohou být použity pro definici strukturních modelů za pomocí Yehova maticového formalismu. Tento maticový formalismus používá matice rozhraní a přenosové matice a taktéž složitější konstrukty, pomocí, kterých definujeme komplikované systémy.

Boundary matrices

Simple boundary matrix
```
B(left_medium, right_medium[, roughness_RMS, rougness_corelation_length])
```
This is a simple boundary matrix to model boundary between two media. The first two parameters are the corresponding definitions from media section. Optional roughness_RMS and rougness_corelation_length are describing the boundary roughness. If they are omitted, a flat boundary model will be used. If only roughness_RMS is added a simple Drude model will be used for roughness. If both are specified, the roughness will be modeled using the Rayleigh-Rice theory.

Transfer matrices

Simple transfer matrix
```
T(medium, thickness_parameter[, right_medium])
```
This is a simple transfer matrix through film with medium and thickness thickness_parameter. If the optional right_medium is selected, the linear inhomogeneous model will be used, modeling a linear interpolation of the optical constants between the left and right medium over the film thickness.

Advanced matrices

Scalar Difraction Theory (SDT)
```
BSDT(left_medium, Boundary1, right_medium, sigma[, tau])
```
Rougness modeled by the Scalar Difraction Theory (SDT). The Boundary1 can be any of the other boundary matrices, so you can use this for example to combine SDT with RRT to model surface with both long and short range roughness. BSDT can be also used to model layer roughness from both sides, use the following syntax:
```
BSDT(left_medium, Boundary1, right_medium, Boundary2, middle_medium, d, sigma1[, tau1])
```
In this case the SDT will be applied on both sides of the medium middle_medium with thickness d. To model correlated roughness with different RMS use:
```
BSDT(left_medium, Boundary1, right_medium, Boundary2, middle_medium, d, sigma1, sigma2, C12)
```
where C12 is the cross-correlation coefficient of the top and bottom boundaries.
Identical rough layer
```
BIRL(left_medium, middle_medium, right_medium, sigma, tau[, tau2, eta])
```
This is the advanced matrix for the special case of rough boundary, film and a second rough boundary with identical roughness parameters.

Examples of model construction using the Yeh matrix formalism

Hladké rozhraní:

B(ambient_medium, substrate_medium)

Hladký tenký film:

B(ambient_medium, film_medium)*T(film_medium, thickness_parameter)*B(film_medium, substrate_medium)