1. Nov 20, 2011 #1

   coltin.walsh

   

   1. The problem statement, all variables and given/known data
   
   see:
   
   http://www.flickr.com/photos/55153239@N03/6371848305/ [Broken]
   
   2. Relevant equations
   
   vp = w/k
   
   vg = dw/dk
   
   3. The attempt at a solution
   
   I know the relationship of:
   
   vg = vp(1+lambda/n * (dn/dlambda))
   
   but i don't know where to go from here..

    

   Last edited by a moderator: May 5, 2017

   coltin.walsh, Nov 20, 2011
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3. Nov 21, 2011 #2

   rude man

   

   Homework Helper

   Insights Author

   Gold Member

   1. given n(λ), what is phase velocity vp of light of wavelength λ?
   2. as you state, w/k = vp. So how about rewriting w in terms of λ and n(λ), using (1) above?
   3. use chain rule dw/dk = dw/dλ*dλ/dk

    

   rude man, Nov 21, 2011

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