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Related Concept Videos

Sound Waves: Resonance01:14

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Sound as Pressure Waves01:17

Sound as Pressure Waves

Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
The pressure fluctuation depends on the difference in displacements between the successive points in the...
Modes of Standing Waves: II01:04

Modes of Standing Waves: II

The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
Bulk Modulus01:21

Bulk Modulus

The bulk modulus is a scientific term used to describe a material's resistance to uniform compression. It is the proportionality constant that links a change in pressure to the resulting relative volume change.
Mason's Rule01:20

Mason's Rule

Mason's rule is a powerful tool in control systems and signal processing. It simplifies the calculation of transfer functions from signal-flow graphs. This method leverages various elements, including loop gains, forward-path gains, and non-touching loops, to determine the transfer function efficiently.
Loop gain is determined by identifying and tracing a path from a node back to itself. This involves computing the product of branch gains along the loop. Each loop's gain is crucial for further...

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Related Experiment Video

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Fabrication and Operation of Acoustofluidic Devices Supporting Bulk Acoustic Standing Waves for Sheathless Focusing of Particles
10:14

Fabrication and Operation of Acoustofluidic Devices Supporting Bulk Acoustic Standing Waves for Sheathless Focusing of Particles

Published on: March 6, 2016

Modified mason model for bulk acoustic wave resonators.

Tiberiu Jamneala1, Paul Bradley, Uli B Koelle

  • 1Avago Technologies, Wireless Semiconductor Division, San Jose, CA, USA. tiberiu.jamneala@avagotech.com

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|November 7, 2008
PubMed
Summary

This study introduces a Modified Mason Model to accurately simulate parasitic modes in bulk acoustic wave resonators, improving frequency response modeling for 3D structures. The enhanced model provides precise predictions validated by experimental filter measurements.

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Area of Science:

  • Electrical Engineering
  • Acoustic Physics

Background:

  • Current 1-D models for bulk acoustic wave (BAW) resonators struggle to simulate parasitic modes in realistic 3D structures, limiting frequency response accuracy.
  • Parasitic modes can significantly impact the performance of BAW devices, necessitating improved modeling techniques.

Purpose of the Study:

  • To develop a simple yet accurate method for simulating parasitic modes in BAW resonators.
  • To enhance the predictive capabilities of existing 1-D resonator models for complex 3D structures.
  • To validate the proposed model against experimental data.

Main Methods:

  • A modified 1-D Mason Model was developed by incorporating a coupling term between the fundamental mode and parasitic modes.
  • The Modified Mason Model was designed to handle resonators with arbitrary impedance and resonating frequencies.
  • The model's simulation results were compared with on-wafer measurements of a ladder-type filter.

Main Results:

  • The Modified Mason Model successfully simulates parasitic modes that are not captured by traditional 1-D models.
  • The model demonstrates accurate prediction of frequency response for resonators with varied impedance and resonating frequencies.
  • The model's predictions closely matched the on-wafer measurements of a ladder-type filter, confirming its efficacy.

Conclusions:

  • The proposed Modified Mason Model offers a significant improvement over existing 1-D models for BAW resonator frequency response.
  • This technique enables accurate simulation of parasitic modes, crucial for designing high-performance BAW filters and devices.
  • The model provides a valuable tool for researchers and engineers working with advanced acoustic wave resonator technologies.