COMPUTATION DIFFERENCE METHOD OF ELECTROMAGNETIC FIELD DISTRIBUTION IN PARABOLIC RADIATOR CAVITY
A. L Golubev, L V. Dolzhenkov, A. V. Soldatov
VANT. Ser.: Mat. Mod. Fiz. Proc 2008. Вып.3. С. 3-18.
Described here is the computation method for parabolic cavity electrodynamics based on the numerical solution of 3D homogeneous Maxwell equations represented in parabolic coordinates. The electromagnetic field sources are specified in the form of the boundary conditions on the parabolic inner space. The natural boundary conditions used in the parabolic symmetry axis are as follows: electric and magnetic field components should be limited in this axis; besides, vector components of electric and magnetic fields along the symmetry axis should not be dependent of the azimuth angle. The approximate formulas for space derivatives are derived in terms of integral effects of Maxwell equations for difference grid unit cell. Coordinatewise splitting method is used in time approximation of derivatives. The applicability and accuracy of solution are shown using the computation of representative test problem with analytical solution.
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