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arxiv: 2409.00783 · v1 · submitted 2024-09-01 · ⚛️ physics.app-ph · physics.optics

K-band LiNbO3 A3 Lamb-wave Resonators with Sub-wavelength Through-holes

Shu-Mao Wu , Hao Yan , Chen-Bei Hao , Zhen-hui Qin , Si-Yuan Yu , Yan-Feng Chen This is my paper

Pith reviewed 2026-05-23 21:33 UTC · model grok-4.3

classification ⚛️ physics.app-ph physics.optics
keywords Lamb wave resonatorsLiNbO3 thin filmthrough-holesK-bandA3 modepiezoelectric resonatorsmechanical stabilityetching standardization
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The pith

Sub-wavelength through-holes reduce the suspension area in K-band LiNbO3 A3 Lamb wave resonators without changing performance.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper shows how to add sub-wavelength through-holes to LiNbO3 thin-film Lamb wave resonators operating in the A3 mode at K-band frequencies. The holes shrink the part of the film that is held up but not contributing to the vibration, which could make the devices stronger against mechanical forces and temperature changes. Tests confirm that the frequency, the strength of the electrical-to-mechanical conversion, and the sharpness of the resonance stay the same as in devices without holes. No new unwanted vibration modes appear. The method also makes it easier to etch all resonators on a wafer to the same depth because the distances are consistent.

Core claim

Incorporating sub-wavelength through-holes into LiNbO3 single-crystal thin film A3 mode resonators operating in the K band reduces the ineffective suspension area of the piezoelectric film. This is achieved without additional processing steps and while maintaining the operating frequency, electromechanical coupling coefficient, and quality factor, without introducing extra spurious modes. The approach potentially enhances mechanical and thermal stability and standardizes etching distances and times across various Lamb wave resonators on a single wafer. The technique allows relaxed constraints on hole geometry and arrangement.

What carries the argument

The sub-wavelength through-holes patterned in the LiNbO3 film, which decrease the inactive suspended area of the resonator.

If this is right

  • Operating frequency remains the same
  • Electromechanical coupling coefficient is preserved
  • Quality factor is unchanged
  • No extra spurious modes are created
  • Etching process is standardized for multiple devices on one wafer

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This design might support higher density integration of resonators in filters for wireless applications.
  • Improved thermal stability could reduce frequency drift in varying environments.
  • The versatility in hole placement may allow optimization for specific mechanical requirements.
  • Similar through-hole structures could be tested in other acoustic wave devices to assess broader applicability.

Load-bearing premise

Adding the through-holes does not lead to new fabrication defects or unexpected performance drops when moving from lab tests to full-scale production.

What would settle it

Compare the yield, defect density, and long-term stability under vibration or thermal cycling between resonators with and without the sub-wavelength through-holes on the same wafer.

Figures

Figures reproduced from arXiv: 2409.00783 by Chen-Bei Hao, Hao Yan, Shu-Mao Wu, Si-Yuan Yu, Yan-Feng Chen, Zhen-hui Qin.

Figure 1
Figure 1. Figure 1: A3 resonator in a suspended LiNbO3 thin film. (a) Top view without through-holes, (b) Top view with through-holes, (c) cross-sectional view without through￾holes, (d) cross-sectional view with through-holes, (e) displacement distributions at A3 resonances, (f) Simulated admittance spectra of Design I-1＆I-2 and (g) annotation of key parameters. II. ADVANTAGES OF THROUGH-HOLES FOR LAMB WAVE RESONATORS & EXEM… view at source ↗
Figure 2
Figure 2. Figure 2: Fabrication process of the LiNbO3 A3 resonators (a￾e) without through-holes, (f-j) with through-holes [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: SEM images of the fabricated A3 resonators for Design I-1 and I-2. (a) Core area of the resonator without through-holes, (b) Core area of the resonator with through￾holes, (c) Zoomed-in view of the resonator’s electrodes without through-holes, (d) Zoomed-in view of the resonator’s electrodes with through-holes, (e) Side view of the release window, and (f) Side view of the through-holes. The suspended area … view at source ↗
Figure 4
Figure 4. Figure 4: Optical microscope images of the fabricated resonators for Design Ⅴ-1 (without through holes) and Design Ⅴ-2 (with through holes). (a) Design Ⅴ-1: fully suspended, (b) Design Ⅴ-2: fully suspended, and (c) Design Ⅴ-1: not fully suspended. IV. PERFORMANCE OF A3 RESONATORS: WITH AND WITHOUT THROUGH HOLE Admittance spectra of all fabricated A3 mode resonators were measured using an Agilent M9375A PNA vector ne… view at source ↗
Figure 5
Figure 5. Figure 5: Measured admittance spectra of the A3 resonators: (a) Design Ⅰ-1& Ⅰ-2, (b) Design Ⅱ-1& Ⅱ-2, (c) Design Ⅲ- 1& Ⅲ-2. Insets are optical microscope images of the corresponding resonators without (left) and with (right) through-holes. The parameters of the resonators are detailed in Table Ⅰ. As illustrated in [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
Figure 7
Figure 7. Figure 7: Measured admittance spectra of the A3 resonators: (a) Design Ⅵ-1& Ⅵ-2, (b) Design Ⅶ-1& Ⅶ-2, (c) Design Ⅷ-1& Ⅷ-2. Insets are optical microscope images of the corresponding resonators without (left) and with (right) through-holes. The parameters of the resonators are detailed in Table Ⅰ [PITH_FULL_IMAGE:figures/full_fig_p006_7.png] view at source ↗
Figure 9
Figure 9. Figure 9: Measured admittance spectra of the A3 resonators with different through-hole diameters (a) D=0.50μm, (b) D=0.75μm, (c) D=1.25μm，(d) D=1.50μm. Insets are (top) optical microscope images of the corresponding resonators and (bottom) zoomed-in SEM images [PITH_FULL_IMAGE:figures/full_fig_p007_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Measured admittance spectra of the A3 resonators with different through-hole distances (a) L=8μm, (b) L=9μm, (c) L=11μm, (d) L=12μm. Insets are (top) optical microscope images of the corresponding resonators and (bottom) zoomed-in SEM images [PITH_FULL_IMAGE:figures/full_fig_p007_10.png] view at source ↗
read the original abstract

Addressing critical challenges in Lamb wave resonators, this paper presents the first validation of resonators incorporating sub-wavelength through-holes. Using the A3 mode resonator based on a LiNbO3 single-crystal thin film and operating in the K band as a prominent example, we demonstrate the advantages of the through-hole design. In the absence of additional processing steps, and while maintaining device performance--including operating frequency, electromechanical coupling coefficient, and quality factor--without introducing extra spurious modes, this approach effectively reduces the ineffective suspension area of the piezoelectric LN film, potentially enhancing mechanical and thermal stability. It also standardizes etching distances (and times) across various Lamb wave resonators on a single wafer, facilitating the development of Lamb wave filters. The versatility of the through-hole technique, with relaxed constraints on hole geometry and arrangement, further highlights its significance. Together with the other advantages, these features underscore the transformative potential of through-holes in advancing the practical implementation of Lamb wave resonators and filters.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript reports the first experimental validation of sub-wavelength through-holes in K-band LiNbO3 A3-mode Lamb-wave resonators. The central claim is that the through-hole design, integrated into the existing release etch without added process steps, maintains operating frequency, electromechanical coupling coefficient kt², and quality factor Q while introducing no extra spurious modes; it reduces ineffective suspension area of the LN film (potentially improving mechanical/thermal stability) and standardizes etching distances across devices on a wafer. The approach is presented as versatile with relaxed constraints on hole geometry and arrangement.

Significance. If the measured performance equivalence holds, the result offers a practical route to improved resonator stability and wafer-scale fabrication uniformity for Lamb-wave filters without process overhead. The experimental demonstration in the K-band A3 mode, together with the explicit qualification of the stability benefit as 'potentially' realized, provides a concrete starting point for further device engineering. No machine-checked proofs or parameter-free derivations are present, as expected for an experimental report.

major comments (2)
  1. [Results] Results section (device characterization): the assertion that performance is maintained and no extra spurious modes appear requires direct side-by-side comparison of S-parameter spectra and extracted kt²/Q values between through-hole and reference devices; without tabulated statistics or error bars on the extracted parameters, the 'maintenance' claim cannot be quantitatively assessed.
  2. [Fabrication] Fabrication section: the statement that through-hole etching is performed 'in the absence of additional processing steps' needs explicit process-flow diagrams or timing data showing that the sub-wavelength etch is subsumed within the standard LN release etch; otherwise the standardization benefit across resonator types remains unsubstantiated.
minor comments (2)
  1. [Figures] Figure captions should explicitly state the frequency range over which spurious-mode absence was verified and the number of devices measured.
  2. [Discussion] The abstract and conclusion both use 'potentially enhancing'; a short sentence in the discussion quantifying the expected area reduction (e.g., percentage of suspended area removed) would strengthen the stability inference.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive evaluation and recommendation for minor revision. We address the two major comments point by point below.

read point-by-point responses

  1. Referee: [Results] Results section (device characterization): the assertion that performance is maintained and no extra spurious modes appear requires direct side-by-side comparison of S-parameter spectra and extracted kt²/Q values between through-hole and reference devices; without tabulated statistics or error bars on the extracted parameters, the 'maintenance' claim cannot be quantitatively assessed.

    Authors: We agree that quantitative side-by-side comparison strengthens the claim. The original manuscript presents measured data for both device variants, but we will revise the Results section to include overlaid S-parameter spectra and a table reporting mean values with standard deviations (from multiple devices) for resonance frequency, kt², and Q. revision: yes

  2. Referee: [Fabrication] Fabrication section: the statement that through-hole etching is performed 'in the absence of additional processing steps' needs explicit process-flow diagrams or timing data showing that the sub-wavelength etch is subsumed within the standard LN release etch; otherwise the standardization benefit across resonator types remains unsubstantiated.

    Authors: The through-hole patterning uses the same mask and XeF2 release etch already required for device suspension; no extra lithography or etch steps are introduced. To make this explicit, we will add a process-flow diagram in the revised Fabrication section that shows the hole features integrated into the existing release sequence. revision: yes

Circularity Check

0 steps flagged

No significant circularity

full rationale

This is an experimental fabrication and measurement report on LiNbO3 A3-mode resonators. The central claims rest on direct S-parameter data, mode-shape imaging, and comparison of devices with/without through-holes fabricated in the same release etch step. No equations, fitted parameters, or predictive models are presented that reduce to prior inputs by construction. Self-citations, if any, are not load-bearing for any derivation. The work is self-contained against external benchmarks (fabricated devices and measured performance).

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

As an experimental device paper based on abstract, no explicit free parameters, axioms or new entities are introduced; the design uses standard LiNbO3 thin film technology.

pith-pipeline@v0.9.0 · 5719 in / 1030 out tokens · 24364 ms · 2026-05-23T21:33:18.138143+00:00 · methodology

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