Efficient 3-D Finite Element Modeling of Periodic XBAR Resonators.

Area of Science:

• Computational physics
• Acoustic resonator modeling
• Finite element analysis

Background:

• Accurate simulation of large-scale periodic excited bulk acoustic resonator (XBAR) resonators is computationally intensive.
• Existing methods often struggle with efficiency and scalability for complex 3-D models in the time-harmonic domain.

Purpose of the Study:

• To develop an efficient 3-D finite element modeling technique for XBAR resonators.
• To reduce computational cost and improve simulation speed for time-harmonic analysis.

Main Methods:

• A domain decomposition scheme is employed to break down the computational domain into smaller subdomains.
• Transmission conditions (TCs), specifically a second-order TC (SOTC), are used to couple subdomains efficiently.
• A forward-backward preconditioner is integrated with SOTC to accelerate iterative solution convergence.

Main Results:

• The proposed technique demonstrates high efficiency and accuracy for 3-D finite element modeling of XBAR resonators.
• The SOTC and preconditioner significantly reduce the number of iterations required for solving the global interface system.
• The method effectively handles both propagating and evanescent waves at subdomain interfaces.

Conclusions:

• The presented algorithm offers a computationally efficient and accurate solution for simulating large-scale XBAR resonators.
• This technique has the potential to accelerate the design and analysis of acoustic wave devices.
• The domain decomposition approach with advanced TCs provides a scalable solution for complex acoustic modeling problems.