State-Space Solution of Transient Electromagnetic Problems.
Final technical rept. 1 Aug 74-31 Dec 76,
SYRACUSE UNIV N Y DEPT OF ELECTRICAL AND COMPUTER ENGINEERING
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The transient excitation of a cavity through an aperture is used to illustrate the state-space solution of transient electromagnetic problems. Depending on whether the E- or the H-formulation is used, the effect of the aperture can be accounted for by a magnetic current in invoking the induction theorem or by an electric current in invoking the equivalence theorem. The governing second-order differential equation is converted into a set of first-order state equations by defining three new state variables in addition to an appropriate vector potential. These state equations are soved by the method of moments. Two cases are considered parallel polarization and perpendicular polarization. Some significant singularities for the parallel-polarization case are found and the electric intensities as functions of time at two locations in the cavity are computed for a step excitation. Author
- Electricity and Magnetism