Single-Crystal Lamb Wave Resonators With Wide-Tether Energy Confinement

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Solution Overview

Problem

Current acoustic resonator technologies face challenges in achieving high Q and electromechanical coupling coefficients over extreme frequency scaling, particularly in the mm-wave regime, due to limitations in piezoelectric film thickness miniaturization and degradation of performance metrics.

Innovation Solution

A high Q dispersive acoustic waveguide design featuring a substrate with gradual width changes and a single crystal silicon layer, combined with an aluminum nitride film, enables efficient energy localization and anchoring through wide tethers, reducing mechanical energy density and enhancing power-handling and linearity.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Speed

If piezoelectric film thickness is miniaturized to sub-100 nm range for extreme frequency scaling to mm-wave regime, then frequency scaling is achieved, but electromechanical coupling and energy dissipation coefficients drastically degrade

Engineering Contradiction:
Improvefrequency scalingVSAvoidelectromechanical coupling coefficient
Core Design Contradiction:
SpeedVSReliability

Solution Approach 1:

The patent changes the fundamental parameter of resonator architecture from thin-film bulk acoustic resonators (FBARs) to membrane-based resonators. This parameter change allows achieving mm-wave frequencies through mechanical tension and geometry control rather than relying solely on extreme thickness miniaturization, thereby maintaining acceptable electromechanical coupling coefficients while achieving the required frequency scaling.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent transitions from a three-dimensional thin-film structure to a two-dimensional membrane structure suspended over a cavity. This dimensional change enables frequency control through in-plane tension and lateral dimensions rather than vertical thickness, avoiding the degradation of electromechanical coupling that occurs with sub-100 nm thickness miniaturization.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

2Speed

If piezoelectric film thickness is miniaturized to sub-100 nm range for extreme frequency scaling to mm-wave regime, then frequency scaling is achieved, but energy dissipation coefficients drastically degrade

Engineering Contradiction:
Improvefrequency scalingVSAvoidenergy dissipation coefficient
Core Design Contradiction:
SpeedVSLoss of energy

Solution Approach 1:

The patent changes the fundamental parameter of resonator architecture from thin-film bulk acoustic resonators (FBARs) to membrane-based resonators. This parameter change allows achieving mm-wave frequencies through mechanical tension and geometry control rather than relying solely on extreme thickness miniaturization, thereby maintaining acceptable energy dissipation characteristics while achieving the required frequency scaling.

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent transitions from a three-dimensional thin-film structure to a two-dimensional membrane structure suspended over a cavity. This dimensional change enables frequency control through in-plane tension and lateral dimensions rather than vertical thickness, avoiding the degradation of energy dissipation that occurs with sub-100 nm thickness miniaturization.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

3Measurement precision

If narrow tethers are used to anchor resonator, then frequency definition is achieved, but mechanical energy density increases and power-handling degrades

Engineering Contradiction:
Improvefrequency definitionVSAvoidpower-handling
Core Design Contradiction:
Measurement precisionVSPower

Solution Approach 1:

The patent applies local quality by creating a non-uniform tether width profile along the anchor region. The tethers have varying widths that are narrower at certain locations and wider at others, allowing different sections to serve different functions: frequency definition at specific points and power distribution at other sections, thereby resolving the contradiction between frequency precision and power-handling capability.

Inventive Principle:
Principle #3Local quality

Solution Approach 2:

The patent introduces dynamic characteristics to the tether anchoring system by using a continuous width variation rather than a fixed uniform width. This allows the tether to adapt its mechanical properties along its length, providing both frequency definition where needed and reduced mechanical energy density in power-critical regions, effectively balancing both requirements.

Inventive Principle:
Principle #15Dynamics

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This design achieves high Q and kt2 resonators with arbitrary cross-sectional mode shapes and frequencies, improving power-handling and linearity while reducing anchoring energy leakage, enabling integration with transistors and suppressing spurious modes.

Implementation Method 1

a 500 nm aluminum nitride film on the single crystal silicon

Methodology Applied
Scientific EffectPiezoelectric effect: Piezoelectric Effect

Implementation Method 2

Lamb wave resonators enable high Q and kt2 resonators with arbitrary cross-sectional mode shapes and frequencies

Methodology Applied
Scientific EffectResonance: Resonance

Data Source

PatentUS11689179B2Lamb wave resonators in single-crystal substrate
Publication Date: 2023.06.27 UNIV OF FLORIDA RESEARCH FOUNDATION INC
  • US11689179B2 patent drawing
  • US11689179B2 patent drawing
  • US11689179B2 patent drawing

AI summary

An acoustic waveguide having high-Q resonator characteristics is disclosed and a fabrication method is described. Various waveguide-based test-vehicles, implemented in single crystal silicon and transduced by thin aluminum nitride films, are demonstrated. Silicon resonators with type-I and type-II dispersion characteristics are presented to experimentally justify the analytical mode synthesis technique for realization of high quality-factor silicon Lamb wave resonators. An analytical design procedure is also presented for geometrical engineering of the waveguides to realize high-Q resonators without the need for geometrical suspension through narrow tethers or rigid anchors. The effectiveness of the dispersion engineering methodology is verified through development of experimental test-vehicles in 20 μm-thick single-crystal silicon (SCS) waveguides with 500 nm aluminum nitride transducers.