31. The reverse is also true, the Lorentz force and the Maxwell Equations can be used to derive the Faraday Law. 32. Less severe assumptions result in the distributed element model, while still not requiring the direct application of the full Maxwell equations . 33. The basic idea of this approach is to apply the Maxwell equations in integral form to a set of staggered grids. 34. Direct numerical solution of Maxwell equations to demonstrate Anderson localization of light has been implemented ( Conti and Fratalocchi, 2008 ). 35. For example, in the framework of special relativity the Maxwell equations have the same form in all inertial frames of reference. 36. In fact the Maxwell equations in the space + time formulation are not Galileo invariant and have Lorenz invariance a hidden symmetry. 37. Beginning with the Maxwell equations relating the electric and magnetic field an assuming permeability \ epsilon \, and permittivity \ mu \,: 38. The Maxwell equations can also be formulated on a space-time like Minkowski space where space and time are treated on equal footing. 39. This reduces the four Maxwell equations to two, which simplifies the equations, although we can no longer use the familiar vector formulation. 40. In the low-frequency limit, this is a corollary of Faraday's law of induction ( which is one of the Maxwell equations ).
