Frequency response characteristic analysis method of surface acoustic wave resonator based on dimensionality reduction PDE model

Abstract

The invention belongs to the technical field of numerical calculation of surface acoustic wave filters, and particularly relates to a frequency response characteristic analysis method of a surface acoustic wave resonator based on a dimensionality reduction PDE model. The method comprises the steps of: obtaining the structural data of a surface acoustic wave resonator; inputting the data into a dimension reduction PDF model to obtain a partial differential equation set representing the surface acoustic wave resonator; solving the partial differential equation set by adopting a finite element method to obtain a system matrix representing the surface acoustic wave resonator; adopting a finite element degree-of-freedom compression method and an order reduction technology to eliminate the degree-of-freedom needing no attention on the system matrix, and adopting periodic boundary conditions to eliminate the degree-of-freedom of left and right boundaries to obtain a system matrix equation after the degree-of-freedom is eliminated; solving the system matrix equation to obtain frequency response characteristics of the surface acoustic wave resonator. According to the method, irrelevant degree-of-freedom are eliminated by adopting the finite element degree-of-freedom compression method and the order reduction technology, and a uniform residual sound field can be realized in a directivity area.

Description

technical field [0001] The invention belongs to the technical field of numerical calculation of surface acoustic wave filters, and in particular relates to a frequency response characteristic analysis method of a surface acoustic wave resonator based on a dimensionality reduction PDE model. Background technique [0002] Surface acoustic wave (SAW) devices are used as resonators in electronic systems, mainly in applications. Due to its excellent performance (low insertion loss, high isolation, low cost, small size, etc.), it has been mass-produced and widely used in the current national defense industry, mobile communications, Internet of Things and automotive electronics. With the demand of 5G mobile communication and high-precision national defense industry, the performance of SAW devices is becoming more and more stringent. This has promoted the emergence of a large number of new SAW devices, such as temperature-compensated TC-SAW devices, high-performance IHP SAW devices...

AI Technical Summary

Problems solved by technology

[0004] Periodic analysis of SAW filters based on two-dimensional or three-dimensional finite element method still needs to calculate all degrees of freedom, consumes a lot of computer memory, and it is difficult to quickly characterize SAW filter characteristics

The periodic analysis method of SAW filter based on periodic Green's function is feasible for traditional SAW filter, but for the new SAW filter with multi-layer complex structure, the establishment of Green's function with multi-layer complex structure becomes It is quite difficult to obtain the calculation time consumed by a large increase, and it is impossible to quickly and accurately characterize the characteristics of the surface acoustic wave filter.

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