12 Superposition Flashcards
The principle of superposition
When waves meet, the actual displacement is the vector sum of separate displacements of the individual waves and each waves proceeds as though no other waves exist
stationary wave
A stationary wave is a wave with no transfer of energy
A stationary wave is formed from the superposition of two progressive wave trains of
equal amplitude and frequency
travelling with the same speed in opposite directions
over the same space
formula for double slit interference
𝛌=ax/D
formula for single slit diffraction
sin(angle from first minimum and central maximum to centre of slit) =𝛌/b
Rayleigh’s criterion
Rayleigh’s criterion says the images of two point sources can just barely be distinguished from each other if the central maximum of one diffraction pattern falls onto the first minimum of the other one
Rayleigh’s criterion formula
angles between the two sources from the centre of the slit =𝛌/b
Formula for dfffraction at a grating
d sin θn=n𝛌
θn = angle between nth order maximum and central maximum from the centre of the slit
Diffraction
Diffraction is the spreading of waves when they pass through an opening or around an obstacle
Conditions for observable interference
Sources must be coherent (constant phase difference)
The waves cannot be polarised in mutually perpendicular planes
The amplitude of both waves must be similar
The two waves from the sources must superpose