When substantiating the requirements for the radiation parameters of high-power microwave generators it becomes necessary to assess their maximum permissible values, conditioned to air breakdown in the radiating surface antenna. To predict the parameters of the dielectric strength of air, a theory based on a model of microwave pulses with a rectangular envelope is widely used. However, in practice, there are cases when the shape of the pulse envelope of the generator differs significantly from the rectangular. The aim of this work is to evaluate and compare the amplitude and energy parameters of the electric strength of air in the surface antenna of a high-power relativistic microwave generator when pulses are emitted with envelopes of various shapes. Pulses with rectangular, trapezoidal, parabolic and Gaussian envelopes were selected as the initial ones. The breakdown parameters were found based on the criterion of pulsed breakdown of gases and the regularity connecting the electron density with the pulse amplitude. The problem is solved numerically. In the range of pulse durations typical for high-power relativistic microwave generators, the dependences of the breakdown field and the maximum allowable energy on the pulse duration under normal atmospheric conditions are determined. The regularities connecting the maximum permissible energy and the breakdown field for the considered pulses are determined. With the same breakdown fields, a pulse with a Gaussian envelope has the highest maximum permissible energy, and a pulse with a rectangular envelope has the lowest.
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