Wavelength nature of light: magnesium Fluoride

AI Thread Summary
The discussion centers on determining the minimum thickness of magnesium fluoride coating required to make a glass lens non-reflecting at a specific wavelength. The correct formula for this thickness is t = λ / 4n, where λ is the wavelength and n is the index of refraction. A misunderstanding arises regarding the use of "m=0," which implies no film at all, leading to confusion about the minimum nonzero thickness needed for effective interference. Participants clarify that the goal is to achieve destructive interference for the coating, emphasizing the importance of proper calculations. The conversation highlights the need for clarity in interpreting the parameters involved in optical coatings.
Dx
Hi!

In terms of magnesium fluoride what is the minimum thickness of mag fl coating that must be applied to a glass lens to make it non-reflecting for that wavelength? (the index of refraction of magnesium fluoride is intermediate to that of air and glass)

1/2 wavelength out of phase to eliminate reflection. why is this wrong? I usd the formula t = [lamb] / 4n. I used the minimum thickness (m=0) since the destructive interference will occur over the widest angle. Plz help? Or it this a trick question and there is no minimum thickness, huh?
Dx :wink:
 
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Originally posted by Dx
I used the minimum thickness (m=0) since the destructive interference will occur over the widest angle.

Obviously, they mean the minimum nonzero[/color] thickness. "Zero thickness" means that there is no film at all.
 


Originally posted by Tom
Obviously, they mean the minimum nonzero[/color] thickness. "Zero thickness" means that there is no film at all.
Its not that obvious Tom since that's not one of the answers. I understand what your saying so I need to figure out the different wavelengths then, huh?
Dx :wink:
 
Originally posted by Dx
why is this wrong? I usd the formula t = [lamb] / 4n. I used the minimum thickness (m=0)
Dx :wink: [/B]

You are right. The minimum thickness of the coating is given by t=[lamb]/4n. I think you did an error in calculations. Check it please.
 
Originally posted by Dx
I usd the formula t = [lamb] / 4n. I used the minimum thickness (m=0) since the destructive interference will occur over the widest angle.

OK, sorry. I didn't know what m was, and I thought you chose the thickness to be zero.
 
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