Potential energy (charges); Electrostatic force from surface charge:
|
(32) |
|
(33) |
Poynting vector:
Helmholtz Equation + Dirchlet Equation:
Free current density + conductivity:
|
(41) |
|
(42) |
Surface charge induced + Spherical method of images:
Brewster Angle:
|
(48) |
Total internal reflection (P-waves) |
|
Energy in external magnetic field:
|
(49) |
|
(50) |
Where iis the Pauli vector |
|
Magnetic Forces:
Kirchoff approximation:
|
(55) |
|
(56) |
This is the Fourier transform of the aperture shape. Note the similarity to the Born approximation...
|
(57) |
Maxwell-Faraday equation:
Faraday's law of induction.
The voltage induced in a closed circuit is proportional to the rate of change of magnetic flux enclosed.
Biot-Savart law:
|
(61) |
|
|
Polarization, electric dipole moment:
|
(62) |
|
(63) |
|
(64) |
|
(65) |
|
(66) |
|
(67) |
|
(68) |
|
(69) |
Maxwell/Ampere Law (differential + integral forms):
Magnetic field induced around closed loop
electric current + displacement current enclosed.
Gauss' Law (Diff+Int):
|
(73) |
|
(74) |
Electric flux leaving volume
charge inside.
Magnetic Dipole:
- vector potential
-
field
- torque
- force
- magnetization
- auxiliary field
Maxwell Stress Tensor:
Energy in a capacitor/inductor:
|
(78) |
|
(79) |
|
(80) |
|
(81) |
|
(82) |
|
(83) |
Energy of dialectrics, paramagnets:
|
(87) |
|
(88) |
|
(89) |
|
(90) |
|
(91) |
|
(92) |
|
|
(boundaries) |
|
TODO: PICTURE