Problem 4 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 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 (X=550 nm)?
Air
MgF2
ng = 1.38 ng 1.50
Glass
n1 = 1.00
Given: A-550 nm
12
n=1.38
Minimum reflection:
a
(Destructive interference)
Thickness of coating: d=?
INTERFERENCE FROM THIN FILMS
Problem 5
A disabled tanker leaks kerosene (n-1.20) into the Persian
Gulf, creating a large slick on top of water (n = 1.33).
%3D
(a)If you look straight down from aeroplane on to the
region of slick where thickness is 460nm, for which
wavelengths of visible light is the reflection is greatest?
(b) If you are scuba diving directly under this region of
slick, for which wavelengths of visible light is the
transmitted intensity is strongest?
MIT-MANIPAL
BE-PHYSICS- INTERFERENCE-2010-11
100
Transcribed Image Text:Problem 4 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 (X=550 nm)? Air MgF2 ng = 1.38 ng 1.50 Glass n1 = 1.00 Given: A-550 nm 12 n=1.38 Minimum reflection: a (Destructive interference) Thickness of coating: d=? INTERFERENCE FROM THIN FILMS Problem 5 A disabled tanker leaks kerosene (n-1.20) into the Persian Gulf, creating a large slick on top of water (n = 1.33). %3D (a)If you look straight down from aeroplane on to the region of slick where thickness is 460nm, for which wavelengths of visible light is the reflection is greatest? (b) If you are scuba diving directly under this region of slick, for which wavelengths of visible light is the transmitted intensity is strongest? MIT-MANIPAL BE-PHYSICS- INTERFERENCE-2010-11 100
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