Interference Flashcards
Principle of Superposition
When two similar types of waves meet at a point, the sum of their individual displacements is equal to the displacement of the resultant wave (Positive or Negative)
Superposition Explanation
When two waves of the same type arrive in the same place, they pass through each other
The two wave pass beyond the point of intersection, they separate out again and continue unaffected
Path Difference
The difference in distance between two different sources and a detector
Interference
Superposition of two progressive waves from coherent sources to produce a resultant wave with displacement equal to the sum of the individual wave’s displacements
Coherence
Two waves are emitted with a constant phase difference, same frequency, polarised in the same plane and similar amplitude
If the two waves are coherent, then their superposition resembles another wave of the same frequency
Constructive Interference
When two coherent waves meet, they interfere
If they are exactly in phase, the amplitudes add up
Destructive Interference
If the waves (same amplitude) are exactly out of phase, the amplitudes cancel out
Youngs Double Split Experiment
Use a single source of Monochromatic light (Laser) and split it into two waves using a double slit
Monochromatic - Light with a single wavelength / frequency
As the waves diffract, when they collide, they interfere, creating fringes of dark and light on the screen
Interference Patterns
Depends on Path or Phase Difference
If a maximum is detected (bright fringe for visible light) it shows constructive interference:
Phase difference of 0 / 360
Path difference of nλ (n is an integer)
If a minimum is detected (dark fringe for visible light ) it shows destructive interference:
Phase difference of 0 / 360
Path difference of (2n + 1) / 2λ
Double Slit with White Light
Proves the wavelength of light and the wave properties of light
Each spectrum is one fringe or maximum
Central fringe is white as a path difference for all wavelengths is 0
The next maximum is a spectrum as the path difference is different
Interference Equation
λ = ax/D
λ: Wavelength (m)
a: Slit / Source Separation (m)
x: Fringe Separation (m)
D: Distance between slits and screen (m)
a «_space;D
Any two source interference (Sources must be coherent)
Interference of Sound Waves
Used to Find λ
Using two loudspeakers and a microphone and CRO
Coherent Sources
Maxima (Loud), Minima (Quiet)
Interference of Microwaves
Used to Find λ
Two microwave transmitters and a detector (or a metal sheet with a double slit)
Coherent Sources