13 - superposition of waves Flashcards
sinusoidal
having the form of a sin wave
principle of superposition
when two or more waves meet at a point, the resultant displacement is the sum of the displacements of the individual waves
diffraction
the spreading of a wave when it passes through a gap or past the edge of an object
gap width > wavelength
hardly noticible diffraction
gap width = wavelength
diffraction effect greatest
gap width < wavelength
limited diffraction
radio waves easily diffracted outside?
yes
microwaves easily diffracted outside?
no
interference
the formation of points of cancellation and reinforcement where two coherent waves pass through each other or the superposition of two or more waves from coherent sources
antiphase
phase difference = 180°
constructive interference
when two waves reinforce to give increased amplitude at a point in space
path diff = n*wavelength
destructive interference
when two waves cancel to give reduced (or zero) amplitude at aq point in space
path diff = (n+0.5) *wavelength
coherent sources
two sources with exactly same frequency and have zero constant phase difference
path difference
the extra distance travelled by one of the waves compared with the other, often given in terms of the wavelength of the waves
interference maxima
regions where light waves from two slits arrive in phase with each other (constructive interference) aha fringes
the bright areas
coherence
term used to describe two waves emitted from two sources that have constant phase difference
sources emitting this are called coherent sources
waves can only have constant phase difference if
the frequency is same and remains constant
Young double slit experiment
. two sets of waves from coherent sources (single laser beam through two slits)
. interference occurs where two diffraced beams overlap
. Will get interference fringes on screen
calculate slit seperation, fringe seperation, slit to screen distamce
double slit equation
wavelength = ax/D
a = distance between slit centers
x = distance between adjacent dark/bright fringes
D = distance from slit midpoints to central fringe on screen
transmission diffraction grating
. many slits slide
. lines to diffact
reflection diffraction grating
. lines made on a reflecting surface
. light is both diffracted and reflected
bright fringes
maxima
middle fringe of transmission grating is called
zeroth order maxima
n =0
wavelength from diffraction grating formula
dsin theta = n *wavelength
d = seperation between adjacent line of grating
theta = angle for nth order maximum
wavelength = wavelength of monochromatic light incident normally at the diffraction grating
n = order of maximum, has integer values
dispersion
the splitting of light into it’s component wavelengths
is diffraction grating better than double slit
yes
. more precise
. more distance
. easier angles