Seven point frequency domain finite difference method for analyzing periodic inhomogeneous dielectric waveguide characteristic modes

Abstract

The invention discloses a seven point frequency domain finite difference method for analyzing periodic inhomogeneous dielectric waveguide characteristic modes. The seven point frequency domain finite difference method for analyzing the periodic inhomogeneous dielectric waveguide characteristic modes mainly includes steps: firstly, performing finite difference mesh dissection, enabling an interface of inhomogeneous dielectric to coincide with a dissection unit, and using a computational node as a dissection unit peak; then, converting a field equation of an electromagnetic field real frequency domain in the inhomogeneous dielectric into a field equation of a complex frequency domain by using periodic boundary conditions and an equivalent resonant cavity theory; achieving dispersion for the field equation of the inhomogeneous dielectric by using tangential continuity boundary conditions of a field on eight dissection unit interfaces adjacent to the computational node and using seven computational node interpolation values adjacent to the computational node; obtaining frequency and field distribution of the characteristic modes by using a characteristic value decomposition technology through the dispersed field equation; establishing a function relationship between a propagation constant of each waveguide mode and working frequency, and thereby guiding design of a periodic inhomogeneous dielectric waveguide. The seven point frequency domain finite difference method for analyzing the periodic inhomogeneous dielectric waveguide characteristic modes solves the problem that uneven dielectric distribution in the propagation direction can not be achieved in the prior art.

Description

technical field [0001] The invention belongs to the technical field of millimeter-wave integrated circuits, and relates to an analysis method for inhomogeneous media in the numerical analysis of electromagnetic fields, which is based on the frequency domain finite difference method and periodic boundary conditions for the analysis of waveguide propagation modes in inhomogeneous media, combined with the medium interface boundary conditions And three-dimensional space discretely establishes the characteristic equation, which can be used for the mode analysis of the non-uniform dielectric waveguide in the periodic millimeter-wave integrated circuit, thereby guiding its system design. domain finite difference method. Background technique [0002] Millimeter wave technology, systems and applications have been one of the areas of greatest interest in industry, academia and business for a long time. Its working frequency range is between microwave and light wave, which has both ad...

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Problems solved by technology

[0005] With the development of millimeter-wave integration technology, the multi-mode problem has become one of the key problems that millimeter-wave integrated circuits need to solve urgently. However, there is still a lack of applicable eigenmode analysis for heterogeneous dielectric structures with complex periodicity along the propagation direction. technology

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