Can you recommend other options how I can perform separation of the light into different wavelengths? That can help me in my research. Thank you in advance!
There are many ways in obtaining the desired wavelength. On top of beam splitters and filters, so you can use partially coated mirror ( for example if you want to segregate the IR wavelength from your beam then you would use a 0 degree IR mirror in the path of your beam before dealing with your light in a step after this in your experiment).
In some processes you can even use gases as spectral filters inside your experiment's chamber ( for example in the EUV lithography we use buffer gases as spectral filters which segregates wavelengths below or above a particular value dependent on the utilized working gas.
Which wavelength you want to work on? and what is your fundamental beam's wavelength?
There is a work titled (Separating spectral mixtures in hyperspectral image data using independent component analysis: validation with oral cancer tissue sections) by Jeng-Ren Duann et al. published on J. Biomed. Opt. 18(12), 126005 (Dec 16, 2013). doi:10.1117/1.JBO.18.12.126005, in which both Independent component analysis ICA and principle component analysis PCA where used if this relevant to your work ?
Hyperspectral imaging setup, in paper that your recommended is based on Ref 13 , and in Ref 13 the dispersive element of the hyperspectrometer is a prism–grating–prism structure.
So, in the paper that you proposed I do not see alternative. But, nevertheless, thanks.