Wave Optics
Phase Difference and Path Difference
Relates the phase difference of two coherent waves to their optical path difference.
Interference Intensity — General
Gives the resultant intensity when two coherent waves of intensities I_1 and I_2 interfere with phase difference phi.
Interference Intensity — Identical Sources
Gives the resultant intensity from two equal-intensity coherent sources as a function of phase difference phi.
Maximum and Minimum Intensity in Interference
Gives the maximum and minimum intensities produced by the interference of two coherent waves.
Fringe Positions in YDSE
Gives the distance of the n-th bright or dark fringe from the central maximum on the screen in YDSE.
Fringe Width in YDSE
Gives the linear separation between any two consecutive bright or dark fringes on the screen in YDSE.
Angular Fringe Width in YDSE
Gives the angle subtended by one fringe width at the plane of the slits.
Fringe Shift Due to Thin Slab in YDSE
Gives the shift of the entire fringe pattern when a transparent sheet of thickness t and refractive index mu is placed in front of one slit.
Minima in Single-Slit Diffraction
Gives the condition for the n-th minimum in diffraction from a slit of width a.
Secondary Maxima in Single-Slit Diffraction
Gives the condition for the n-th secondary maximum in diffraction from a slit of width a.
Angular Width of Central Maximum in Diffraction
Gives the total angular spread between the first minima on either side of the central maximum in single-slit diffraction.
Linear Width of Central Maximum in Diffraction
Gives the linear width of the central diffraction peak on a screen placed at distance D from a slit of width a.
Malus's Law
Gives the transmitted intensity when plane-polarized light of intensity I_0 passes through an analyzer oriented at angle theta.
Unpolarized Light Through an Ideal Polarizer
Gives the transmitted intensity when unpolarized light of intensity I_0 passes through a linear polarizer.
Brewster's Law
Relates the polarizing angle to the refractive index of a dielectric medium when reflected and refracted rays are perpendicular.