Metamorphoses Of Maxwell’S Equations

Maxwell’s equations are the starting-point of<br>electrical geophysics. From Magnetotelluric method<br>(low frequencies) to GPR (high frequencies) they are<br>behind of every electric geophysics techniques.<br>Since their origin, more than one hundred years<br>ago, Maxwell’s equations have been redressed in<br>many different manners. Maxwell started with a set of<br>twenty equations. Heaviside purified them to four<br>vector equations. With the contribution of Einstein’s<br>special theory of relativity the four vector equations<br>are recast into two tensor equations. Now, with the<br>aid of Clifford geometric algebra Cl3 they have been<br>reduced to just one single equation.<br>The saga of Maxwell’s equations helps to clarify<br>the physics of electromagnetism and simultaneously<br>gives us more confidence to work with them.