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OptiLayer:  Your Partner in Design and Post-Production Characterization of Optical Coatings


Evaluation of color characteristics

OptiLayer provides calculations of color properties in almost all existing color coordinate systems. You can view color coordinates in a graphical or tabular forms.  Light source, detector, observer, integration step, reference white and incident angle used for color evaluation are specified. OptiLayer provides a set of power options and color targets allowing you to design coatings with specified color properties.

Tristimulus values and chromaticities

XYZ CIE 1931 color space. Color coordinates are called tristimulus values X, Y, Z and determined as: 

\(X=\int\limits_{380 nm}^{780 nm} x(\lambda) E(\lambda) d\lambda \)

\(Y=\int\limits_{380 nm}^{780 nm} y(\lambda) E(\lambda) d\lambda \)

\(Z=\int\limits_{380 nm}^{780 nm} z(\lambda) E(\lambda) d\lambda \)

Basis functions XYZ

Color basis functions \(x(\lambda),\; y(\lambda),\; z(\lambda) \)

All colors can be represented on the chromaticity diagram:

Chromaticities diagram

The chromaticity of a color can be specified by two parameters x and y, which are functions of tristimulus values X, Y, Z:  

\(x=\displaystyle \frac{X}{X+Y+Z},\;\;y=\frac{Y}{X+Y+Z},\;\;z=1-x-y \)

Y is the luminance factor. The larger is Y, the brighter is the color.

  • On the chromaticity diagram:
  • Pure spectral colors are on the boundary of the diagram;
  • Reference white points
  • RGB triangle
  • Planckian locus

Corresponding numerical values of color coordinates can be observed in spreadsheets:

Chromaticities numbers Tristimulus values
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