1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Kramers kronig in mathematica

  1. Dec 22, 2013 #1
    I am having trouble with one of my simulation of normal reflectance experiment. so I simulated my reflectivity as a lorentzian peak and I want to find the dielectric function ultimately.

    so of course the reflectivity and phase is related through kramers kronig which can then be used to compute the dielectric but this is the part I'm stuck at for almost 2 weeks.

    so firstly I used IGOR wavemetrics to do a Hilbert transform relating the real reflectivity and imaginary phase parts but I ended up getting a negative complex dielectric which is not possible.

    so thinking that maybe the built in code in igor for the hilbert transform was inaccurate, I tried doing the kramers kronig relation numerically in mathematica.
    you can refer to my post in their forum for more info about the code
    the results were different but sadly still negative.

    I decided to try my luck here hoping I get faster replies with anyone with past experience in such calculations.

    thank you!
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted