Abstract
New mathematical models of electromagnetic field of microwave rectangular and circular waveguides have been established in polar coordinate system. Ritz and Galerkin methods for solving mathematical models have been applied and the algorithms of these methods have been applied to address the issue under consideration. As a result of solving mathematical models curves of ekvipotensial lines of electromagnetic field of microwave rectangular and round waveguide have been established. Built-in curves created the opportunity to monitor the distribution of electromagnetic field of microwave rectangular and circular waveguide. The developed methods are differentiated by their universality. Thus, this technique can be applied to the other extreme microwave devices.
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