SPRAY model

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SPRAY model

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The following simple SPRAY model is used to simulate a diffuse reflectance experiment: A circular (transparent) light source illuminates an interface from air to a solid material (binder). The binder contains spherical pigments with an absorption band in the visible spectral range. The binder itself absorbs in the UV. On top is a huge rectangular detector collecting all rays that esape into the upper halfspace.

Here is a side view of the system not showing the detector:

 

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The optical constants of the pigments are the following:

optimize1

 

They are computed based on a constant and a Kim oscillator:

 

optimize2

 

The scattering and absorption coefficients are computed using an extended Mie scatterer object with the following result:

optimize3

 

The corresponding diffuse reflectance spectrum has been computed with 30 spectral points in the range 300 ... 1000 nm sending 1000 rays at each spectral points:

 

optimize4

 

This spectrum is saved in the file measured_spectrum.std using the standard data format. It will serve as the 'measurement' in the following fit procedure.