Analytical Solution of Electromagnetic Force Lines in Rectangular Wave Guides for Transverse Electric Waves

The analytical solution of the electromagnetic field lines was derived, providing a foundation for generalizing conclusions and forming a coherent set of equations to describe the dynamics of electromagnetic waves. By applying Maxwell's equations, this paper analyzed the rectangular waveguide model, focusing on the guiding effect of the passive region on the propagation of electromagnetic waves. Additionally, the Helmholtz equation was used to describe the behavior of electromagnetic fields within the passive guided wave system. Through the analytical solution of the field lines, the distribution of electromagnetic forces could be determined through integration calculations. To enhance the understanding of these concepts, this paper utilized Python programming to simulate electromagnetic force lines, providing a visual representation of the discussed theories. This simulation not only deepened the understanding of electromagnetic principles but also demonstrated their importance in practical applications, contributing to the field of electromagnetism research. The results of the study emphasize the significance of analytical solutions in understanding electromagnetic phenomena and provide valuable insights for future research in related fields.