  A new form of time-harmonic Maxwells equations is developed and proposed for
numerical modeling. It is written for the magnetic field strength, electric
displacement, vector potential and the scalar potential. There are several
attractive features of this form. The first one is that the differential
operator acting on these quantities is positive. The second is absence of curl
operators among the leading order differential operators. The Laplacian stands
for the leading order operator in the equations for the magnetic field
strength, vector potential and the scalar potential, while the gradient of
divergence stands for the electric displacement. The third feature is absence
of space varied coefficients in the leading order differential operators that
provides diagonal domination of the resulting matrix of the discretized
equations. A simple example is given to demonstrate the applicability of this
new form of time-harmonic Maxwells equations.
