Complex Poynting vector, symbolic differentiation. Having in mind Eqs.(6.1) and (1.3...

Complex Poynting vector, symbolic differentiation. Having in mind Eqs.(6.1) and (1.38), the complex electric field intensity vector, E, can be expressed in terms of the complex magnetic vector potential, A, in the following way:

where the differential relation between A and the electric scalar potential, , analogous to the continuity equation interconnecting the current and charge densities, , is called the Lorenz condition. Assuming that the magnetic potential in a region, in air, is given by where A0 is a real constant, use Eqs.(6.32), (6.34), and (4.24) and symbolic programming in MATLAB to obtain the expression for the complex Poynting vector, , in this region. (ME6 27.m on IR) H

Reference: Equation (6.32), (6.34), and (4.24)