1. 15-1: Interference
Interference, a phenomenon that occurs when two light beams meet.
If the two beams enhance each other to give a brighter beam, it is called constructive interference
If they beams interfere in a way that makes the total beam less bright, it is called destructive interference.

2. Constructive and Destructive Interference
Two waves (top and middle) arrive at the same point in space.
The total wave amplitude is the sum of the two waves.
The waves can add constructively or destructively

3. Coherence
If the phase of a light wave is well defined at all times the light is coherent.
If the phase of a light wave varies randomly then the light is incoherent.

4. Note: For incoherent light, interference is hard to observe because it is “washed out” by the rapid phase jumps of the light.

5. Young’s Double Slit Experiment
Interference of light- demonstrated by Thomas Young in 1801.
Illuminated two small slits with coherent light.
Observed a pattern of light and dark regions on a distant screen.
Each slit acts as a source of an outgoing wave.
The two waves are coherent
The amplitude of the light wave reaching the screen is the sum of the waves coming from the two slits.

6. Interference Fringes

7. Path Difference
The light from the two apertures will travel a different distance before reaching a point on the screen.
The difference in distance is called the path difference, l P
Light

8. If the two slits are separated by a distance d and the screen is far away then the path difference at point P is Dl = dsinq
Light P q
dsinq

9. Interference Conditions
For constructive interference, the path difference must be zero or an integral multiple of the wavelength:
For destructive interference, the path difference must be an odd multiple of half wavelengths:
m is called the order number

11. Remember reflection of waves on a rope from a fixed or free boundary
Remember reflection of waves on a rope from a fixed or free boundary? Something similar happens with light…

12. Interference in Thin Films
The colorful patterns which appear in soap bubbles result from an interference of light reflected from the top and bottom of the bubble. t
n>1
180o phase change (inverted) for wave
reflected at top boundary n2 > n1
0o phase change (not inverted) for waves reflected from the bottom boundary or transmitted through the top boundary n1> n2
2t = ml (m = 0, 1, 2…) Destructive (invisible)
2t = (m + 1/2)l (m = 0, 1, 2…) Constructive (bright color)

13. this is what you get!