How to calculate the phase based on Kramers-Kronig relation

The formula about phase ,which is the function of frequency w, is shown in figure. If we have the data of reflectivity (R),which is discrete on a certain range of frequency , how can we to get the value of phase using the second formula.

thanks a lot !

[Loucif REMINI]

Hello, I face the exact same problem. Have you found a way to do it since then ?

Thanks in advane!