Double Slit Interference Pattern: Width and Color Effects - Prof. David Collins, Study notes of Physics

Formulas and examples for the intensity of double slit interference patterns with varying slit widths and the addition of different colors. The phys 132 spring 2009 lectures discuss single and double slit patterns, including the impact of width and angle on intensity.

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Uploaded on 08/19/2009

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6 May 2009 Phys 132 Spring 2009
Double Slit Pattern
Double slit interference
pattern for two slits of
negligible width.
I=Imax cos2β
where
β=πd
λ
sin θ.
θ
0
Intensity
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E
X 1
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Phys 132 Spring 2009

Double Slit Pattern

Double

slit

interference

pattern for two

slits

of

negligible width.

I

I

max

cos

2

β

where

β

πd

λ

sin

θ.

θ

Intensity

TEX

Phys 132 Spring 2009

Single Slit Pattern

Single

slit

interference

pattern.

I

I

max

sin

α

α

2

where

α

πa

λ

sin

θ.

θ

Intensity

TEX

Phys 132 Spring 2009

Double Slit Pattern: Width Included

Double

slit

interference

pattern

including

width

features. I

I

max

sin

α

α

2

cos

2

β

where

α

πa

λ

sin

θ

and

β

πd

λ

sin

θ.

θ

TEX

Phys 132 Spring 2009

Double Slit Pattern: Narrower Width

Double

slit

interference

pattern

with

a

narrower

width. I

I

max

sin

α

α

2

cos

2

β

where

α

πa

λ

sin

θ

and

β

πd

λ

sin

θ.

θ

TEX