Lenses are often coated with thin films of transparent substances such as MgF, (n=1.38) to reduce the reflection from the glass surface. How thick a coating is needed to produce a minimum reflection_at the center of the visible spectrum (A=550 nm)?

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Problem 4
Lenses are often coated with thin films of transparent
substances such as MgF2 (n=1.38) to reduce the reflection
from the glass surface. How thick a coating is needed to
produce a minimum reflection_at the center of the visible
spectrum (A=550 nm)?
Air
Glass
MGF2
n2 = 1.38 ng 1.50
n1 = 1.00
Given: A-550 nm
12
n=1.38
Minimum reflection:
a
(Destructive interference)
Thickness of coating: d=?
Transcribed Image Text:Problem 4 Lenses are often coated with thin films of transparent substances such as MgF2 (n=1.38) to reduce the reflection from the glass surface. How thick a coating is needed to produce a minimum reflection_at the center of the visible spectrum (A=550 nm)? Air Glass MGF2 n2 = 1.38 ng 1.50 n1 = 1.00 Given: A-550 nm 12 n=1.38 Minimum reflection: a (Destructive interference) Thickness of coating: d=?
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