Maxwell wave equations homogeneous media

The propagation of light in a nonlinear medium is governed by the wave equation, which was derived from Maxwell s equations for an arbitrary homogeneous dielectric medium,... 

Thus Eqs. (6.4) and (6.5) deseribe a plane electromagnetie wave propagating in a homogeneous medium without sources. This is a very important solution of the Maxwell equations beeause it embodies the eoneept of a perfectly monochromatic parallel beam of light of infinite lateral extent and represents the transport of eleetromagnetie energy from one point to another. 

The practical problems associated with SHG may be appreciated by considering a classical theory for wave propagation in the medium. By combining the Maxwell equations (1.37c) and (1.37d), we obtain the homogeneous wave equation [1]... 

For our purposes, we will not need to use Maxwell s equations themselves we can focus on a solution to these equations for a particular situation such as the plane wave of monochromatic, polarized light illustrated in Fig. 3.3. In a uniform, homogeneous, nonconducting medium with no free charges. Maxwell s equations for in a one-dimensional plane wave reduce to... 

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