Electromagnetic Wave Equation
The electromagnetic wave equation is a second-order incomplete differential equation that explains the propagation of electromagnetic waves throughout a medium or in a vacuum. It is the cause of the electromagnetic wave force which one is the four fundamental forces in the universe (or) it is a branch of physics which deals with electricity and magnetism and the interaction between them. It was first discovered in the 19th century and has extensive applications in today’s world of physics.
Electromagnetic wave equation
The homogeneous form of the equation, write in conditions of either the electric field E or the magnetic field B, takes the form:
The speed of light in the middle, and ∇2 is the Laplace operator. In a vacuum, c = c0 = 299,792,458 meter per second, which is the velocity of light in free space. The electromagnetic wave equation derives from the Maxwell's equations. It should also be noted that in nearly all big text, B is call the magnetic flux mass or magnetic induction. Conservation of charge require that the time speed of change of the whole charge with this within a quantity V must the same the net present flowing into the outside S enclosing the volume. Where J is the current flowing throughout the surface and ρ is the charge density at each point in the volume. From the divergence theorem, this connection can be changed from integral form to differential form: In its original form, Ampere’s circuital law relates the magnetic field B to the present density J Where S is an open surface finished in the curve C. This integral form can be improved to differential form, using Stokes' theorem: Homogeneous wave equation in curved spacetime The electromagnetic wave equation is modified in two ways, the derived is replaced with the covariant derived and a fresh term that depends on the curvature appear. The Ricci curvature tensor and the semicolon indicate covariant separation. The simplification of the Lorenz gauge situation in curved spacetime is assumed:
I like to share this Electromagnetic Spectrum Chart with you all through my article.The origin of the electromagnetic wave equation
Conservation of charge:
Ampere’s circuital law prior to Maxwell's correction