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My question is related to Optics- Interference from thin films: If we wish to coat flat...

My question is related to Optics- Interference from thin films: If we wish to coat flat glass [ index of refraction (n)=1.50] with a transparent material (n =1.25) so that reflection of light at wavelength 600 nm is eliminated by interference.What minimum thickness can the coating have to do this?  

I know that the waves will experience a phase change of pi rad or (0.5 wavelength) since the first medium has a small index of refraction. How does this connect to path length change and finding a phase shift corresponding to destructive interference? What equations will I need to solve this problem?

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