Electromagnetic Theory and Optics

Continuity Equation for Electric charge

Where J = nqv = ρv

Maxwell’s equations in free space

Continuity Equation for Electric charge

Where J = nqv = ρv

Maxwell’s equations in free space

Why was displacement current not included in Ampere’s law before Maxwell?

Only significant in rapidly changing electric fields, different to the quasi-static experiments Ampere used

Poisson’s equation

-psi is electrostatic potential

Laplace’s equation for free charge regions

-psi electrostatic potential

Laplacian of electric field strength E in the presence of no charge

Laplacian of magnetic flux density B in the presence of no charge

Polarisation vector P

electric dipole moment per unit volume

Magnetisation vector M

magnetic dipole moment per unit volume

What are electric polarisation and magnetisation the result of?

charge redistribution and motion

Surface charge density for a point on a surface

Polarised charge density

Polarisation current density

Surface current density

Volume magnetisation current

Relative permittivity

Magnetic field strength

Maxwell’s equations in matter

Boundary conditions for EM fields

Wave speed of EM waves in dielectrics

Impedance

Energy density for EM waves

Poynting vector

Brewster’s angle

The angle where the reflected light is 100% linearly polarised

Skin depth

Lensmaker’s equation

Thin lens equation