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 (Pwaves) 

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) 
MaxwellFaraday equation:
Faraday's law of induction.
The voltage induced in a closed circuit is proportional to the rate of change of magnetic flux enclosed.
BiotSavart 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