Multimediální učebnice

Slovník pojmů

Inhomogeneous wave equation

The term homogeneous wave equation denotes the equation of the form

\nabla^{2} E + k^{2} E = 0

( 1 )

This equation is valid for Cartesian coordinate system. If vector E meets the equation then this vector describes wave propagation. If right-hand side of the equation is zero, we are far away from the sources and wave is a source of a wave.

The right-hand side of the inhomogeneous wave equation is non-zero in contrast to (1)

\nabla^{2} E + k^{2} E = j ω μ J_{e}

( 2 )

In the right-hand side of (2), time derivative (jw) of the source current J_e is present. This equation has to be applied if regions near sources (antennas) are investigated.

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