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

A non-homogeneous medium and finite difference technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as lack of characteristic modes

Active Publication Date: 2015-04-29
XIDIAN UNIV
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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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  • Seven point frequency domain finite difference method for analyzing periodic inhomogeneous dielectric waveguide characteristic modes
  • Seven point frequency domain finite difference method for analyzing periodic inhomogeneous dielectric waveguide characteristic modes
  • Seven point frequency domain finite difference method for analyzing periodic inhomogeneous dielectric waveguide characteristic modes

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[0045] The present invention will be described in further detail below in conjunction with the accompanying drawings.

[0046] Such as figure 2 As shown, the present invention provides a seven-point frequency-domain finite difference method for periodic inhomogeneous dielectric waveguide eigenmode analysis, and its specific steps are as follows:

[0047] 01) Electromagnetic modeling of the periodic non-uniform dielectric waveguide structure is carried out in the computer, and the data entry of the shape parameters and the distribution of the dielectric constant of the structure is realized in the computer: the waveguide is placed in the rectangular coordinate system, so that the waveguide wall Parallel to the coordinate plane, and the medium filled in the waveguide is periodic along the z-axis direction, with a period of d, a three-dimensional coordinate array is established to record the shape and three-dimensional coordinate parameters of the non-uniform medium distribution...

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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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Application Information

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IPC IPC(8): G06F17/50
Inventor 徐乐李蕊史小卫王俊仁学施
Owner XIDIAN UNIV
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