J. P. Verboncoeur’s research while affiliated with Michigan State University and other places

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Publications (369)


FIG. 1. (a) Schematic of the rf discharge plasma and the diagnostic systems. The rf source is powered to the upper electrode through a match box, and CVCs are measured using the voltage and current probes. An isCMOS camera is synchronized based on the DG645 and the trigger sequences to image the discharge and achieve the spatiotemporal PROES diagnosis. (b) The concept of generating similar rf discharges in two geometrically similar systems, i.e., System A and System B, in which the gas pressure, gap dimension, and driving frequency are proportionally scaled following the similarity requirements C k ¼ ½p k ; d k ; R k ; f k Š ¼ ½kp 1 ; k −1 d 1 ; k −1 R 1 ; kf 1 Š ¼ ½k; k −1 ; k −1 ; kŠC 1 . In similar discharges, plasma parameters Gðx; tÞ can be correlated through the similarity transformation Gðx 1 ; t 1 Þ ¼ k α½GŠ Gðx k ; t k Þ.
FIG. 2. (a) Normalized axial distributions of the light emission (750.4 nm) intensity in System A with ½p; dŠ ¼½75 Pa; 2 cmŠ, and System B with ½p; dŠ ¼ ½150 Pa; 1 cmŠ, and the overlapped profiles confirm the discharge similarity. (b) Light emission intensity peak position x p and (c) the scaled position x p =d versus pd when the gas pressure p is tuned. (d) Current-voltage characteristics and (e) the corresponding phase difference versus V rf in similar rf discharges under different gas pressure conditions.
FIG. 3. Spatiotemporal distributions of the excitation rate (normalized to maximum) in rf discharges demonstrate the similarity-based scaling networks, consisting of three control parameters gradually tuned. Case 000 is the base case, case 111 corresponds to the similarity state, and other cases are at intermediate states. The top row [(a1)-(a8)] shows the experimental results and the bottom row [(b1)-(b8)] presents the corresponding PIC simulation results. The sheath edges defined by Brinkmann's criterion [45] using the PIC data are superimposed to both the experimental and simulation results for visualized comparison.
FIG. 4. (a) Conceptual diagram of similarity-based scaling networks, in which different plasma states are extensively correlated through scaling relations (pathway arrows). The scaling networks are established for parameter x exc;max =d with ½p; g; fŠ tuned based on the (b) experimental and (c) simulation results. The dashed green, dotted blue, and solid red arrows, respectively, correspond to the gas pressure, gap dimension, and driving frequency scaling relations; S0 (000) is the base case, S1 (with one parameter tuned), and S2 (with two parameters tuned) denote the intermediate states, and S3 (111) is the similarity state.
Demonstration of Similarity Laws and Scaling Networks for Radio-Frequency Plasmas
  • Article
  • Full-text available

January 2025

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284 Reads

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3 Citations

Physical Review Letters

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John P Verboncoeur

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We experimentally demonstrate similarity laws for capacitive radio-frequency (rf) plasmas, showing that two rf discharges are scale-invariant in geometrically similar systems in which the gas pressure, gap dimension, and driving frequency are proportionally tuned. Spatiotemporal distributions of the excitation rate are measured based on phase-resolved optical emission spectroscopy, and the tendencies of the excitation dynamics scaling with control parameters are presented and agree well with particle-in-cell simulations. Furthermore, similarity-based scaling networks are established, which extensively correlate the discharge states (i.e., the initial, intermediate, and similarity states), enabling an effective strategy for determining scaling relations with fewer experiments. The framework of the scaling networks is interpreted based on the kinetic Boltzmann equation coupled with Poisson's equation. The present work reveals the nature of discharge similarity and provides an additional knob for the exploration of upscaled rf plasma sources for industrial applications, such as large-area etching facilities.

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Comparison between the in situ (a) and ex situ (b) plasma-based THz modulation methods. Laser-induced spatial separation of charged particles in the plasma forms a dipole $\vec r$ and emits THz waves, as shown in (a). In (b), if the incident THz wave is in phase with the dipole, the interaction $\vec E \cdot \vec r$ can amplify the input THz wave. On the contrary, if the two are in counter phase, it will lead to a shutdown of the output THz emission.
(a) Sketch of the experimental setup. BBO: barium borate crystal. DWP: dual-wavelength plate. M: mirror. ITO: indium tin oxide glass. OPM: off-axis parabolic mirror. FL: focusing lens. (b) Time delay $\tau$ -dependent peak-to-peak (p-p) amplitude of the modulated THz waves under three $\omega {\text-}2\omega$ relative phase delays ( $\Delta \phi$ ). $\tau$ is the time delay between the incident THz wave (from Plasma 1) and the PTM (Plasma 2). Modulation from the single-color (only $\omega$ ) case is also presented (black dotted lines). The black dashed line indicates the moment of $\tau (= 0)$ for the strongest modulation. The inset shows the modulated THz waveforms under that moment for the three $\Delta \phi$ . (c) Comparison between the Fourier-transformed spectra of THz wave generation from the PTM (red) and the p-p amplitude modulation (blue).
The time delay $\tau$ -dependent spectral modulation of THz wave for the in-phase (a) and counter-phase (b) conditions, which are obtained by performing a Fourier transform of the transmitted THz waves. (c), (d) Show the clear results of THz frequency modulation by removing the broadband absorption effect, i.e., the case for no dipole. The modulation regions are highlighted in dashed line boxes. When the polarization of the incident THz wave is perpendicular to the polarity of the dipole in the PTM, the modulation induced by the PTM for the in-phase (e) and counter-phase (f) conditions.
The spectra of the interaction between the input THz wave and the dipole in the plasma-based THz modulator obtained from the experiments for the in-phase (a) and counter-phase (b) conditions. (c), (d) Present the corresponding simulation results of the interaction using the spectral analysis method [35].
Fig. 1. Comparison between the in situ (a) and ex situ (b) plasma-based THz modulation methods. Laser induced spatial separation of charged particles in the plasma forms a dipole Er and emits THz waves, as shown in (a). In (b), if the incident THz wave is in phase with the dipole, the interaction E.Er can amplify the input THz wave. On the contrary, if the two are in counter phase, it will lead to a shutdown of the output THz emission.
Ultrafast plasma-based terahertz modulator

October 2024

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225 Reads

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8 Citations

Xiaomin Qu

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Bin Zhou

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[...]

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John Verboncoeur

Plasma is the optimal choice for acquiring and modulating the extremely high visible and near-infrared light. However, few attempts have been made to apply this strategy for the terahertz (THz) wave modulation in an ex situ manner. Here, we show a laser-driven plasma-based THz modulator (PTM) to ex situ control the incident THz waves. The presented PTM allows for the amplification or extinction of the incident THz waves covering 0.1–2.0 THz within a few picoseconds, simply by adjusting its dipole phase. This modulation is a result of the interaction between the PTM’s dipole and THz wave, which can be accurately reproduced by the spectral analysis method. Our technique offers promising opportunities to explore the plasma-based THz optics and potential applications across different disciplines, such as THz-sensing and near-field THz technology.







Field reversal in low pressure, unmagnetized radio frequency capacitively coupled argon plasma discharges

December 2023

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106 Reads

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4 Citations

In general, the radio frequency (rf) electric field within a sheath points toward the metal electrode in low pressure, unmagnetized rf electropositive capacitively coupled plasma (CCP) glow discharges. This is due to the large ratio of electron to ion mobility and the formation of an ion sheath. In this work, we studied, using fully kinetic particle-in-cell simulations, a reversed electric field induced by the strong secondary electron emission during the phase of sheath collapse in a high-voltage rf-driven low pressure CCP glow discharge. We explored the transition behavior of the formation of field reversal as a function of driving voltage amplitude and found that field reversal starts to form at around 750 V, for a discharge with an electrode spacing of 4 cm at 10 mTorr argon pressure driven at 13.56 MHz. Accordingly, the energy distribution function of electrons incident on the electrode shows peaks from around 3 to 10 eV while varying the driving voltage from 150 to 2000 V, showing potentially beneficial effects in plasma material processing where relatively directional electrons are preferred to solely thermal diffusion electrons.


Two surface multipactor with non-sinusoidal RF fields

October 2023

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44 Reads

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6 Citations

Two-surface multipactor with a Gaussian-type waveform of rf electric fields is investigated by employing Monte Carlo simulations and 3D electromagnetic particle-in-cell simulations. The effects of the full width at half maximum (FWHM) of the Gaussian profile on multipactor susceptibility and the time dependent dynamics are studied. The threshold peak rf voltage, as well as the threshold time-averaged rf power per unit area for multipactor development, increases with a Gaussian-type electric field compared to that with a sinusoidal electric field. The threshold peak rf voltage and rf power for multipactor susceptibility increase as the FWHM of the Gaussian profile decreases. Compared to sinusoidal RF operation, the expansion of multipactor susceptibility bands is observed. In the presence of space charge, a high initial seed current density can shrink the multipactor susceptibility bands. The effect of space charge on multipactor susceptibility decreases as the FWHM of the Gaussian profile decreases. Decreasing the FWHM of the Gaussian electric field can reduce the electron population corresponding to the strength of the multipactor at saturation, at fixed time-averaged input power.


Effect analysis of spatial discrepancy of secondary emission yield on multipactor formation

October 2023

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52 Reads

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3 Citations

Spatial discrepancy of secondary emission yield (SEY) is probably exacerbated by unexpected surface contamination or imperfect surface treatments for SEY suppression, which accordingly provokes increased multipactor risk in microwave devices. In this paper, an improved 2D2V nonstationary statistical modeling for multipactor of parallel plates capable of regarding all electron impacts and electron exchange at the periodic boundaries is developed to investigate the effect of this spatial SEY discrepancy on multipactor formation in microwave devices. The comparison with the 1D2V statistical modeling results, which is valid for the parallel-plate multipactor, proves the accuracy of this improved 2D2V statistical modeling and the necessity of appropriate boundary setting in multipactor analysis with spatial SEY variation. The modeling results also reveal that the multipactor establishment is dominated by the electron multiplication and the electron overflow in the high-SEY region, thus making the multipactor threshold strongly dependent on both the SEY property and the dimension of the region. Electron multiplication can be fully sustained in the high-SEY region when its size exceeds a critical dimension, which satisfies a scaling law (the sustaining dimension is proportional to the gap with the product of the RF frequency and the gap kept constant) and varies with the involved multipactor mode. This research will help in evaluating accidental multipactor risk caused by the surface contamination and the efficiency of multipactor prevention via applying surface treatments for SEY suppression to accessible regions.


Citations (49)


... The physics of plasma-surface interactions, such as the effects of surface electron emission, is critical and fundamental to the understanding of plasma properties for various applications [1][2][3][4][5]. The effects of secondary electron emission in conventional radio frequency (RF) capacitively coupled plasmas (CCPs) have been extensively studied with a focus on their impact on the discharge properties [6][7][8][9][10][11]. However, secondary electron emission effects may be less important than the other electron kinetic processes, especially in alpha-mode CCPs, where energetic electrons in the (quasi-neutral) plasma * Authors to whom any correspondence should be addressed. ...

Reference:

Mechanism of electron power absorption in radio frequency plasmas with inverse sheaths
Demonstration of Similarity Laws and Scaling Networks for Radio-Frequency Plasmas

Physical Review Letters

... More recently, under intense constant electron emission, an RF plasma system with inverse sheaths was reported, which was named inverted RF plasma (IRP) [22]. The design and understanding of IRP could be beneficial for RF discharges with sheath field reversal [23,24], and other thermionicemission-driven systems, i.e. thermionic energy converters [25]. In IRP, the potential drop spreads across the gap. ...

Field reversal in low pressure, unmagnetized radio frequency capacitively coupled argon plasma discharges
  • Citing Article
  • December 2023

... For rf-driven multipactor discharge, usually with micrometer to millimeter gap, gigahertz frequency, and surface dielectric films with high ESEE yield, the breakdown caused by surface electron multiplication can easily occur and is extremely detrimental. Thus, a great deal of work has been applied to both the rf plasma and the multipactor, such as the effect of electrode shape [41], single surface [42,43], magnetic [44,45], backscattered electrons [46], non-sinusoidal driven waveform [47], harmonics [48]. Recent advances, including the basic principle and mitigation of multipactors, have been well reviewed and evaluated by Iqbal et al [49]. ...

Two surface multipactor with non-sinusoidal RF fields
  • Citing Article
  • October 2023

... And the electron avalanche caused by ESEE occurred. This mechanism has been clearly described and analyzed in the literature [47,70]. In a short period, the ionization collision is so weak in such low pressure that it can be almost ignored. ...

Effect analysis of spatial discrepancy of secondary emission yield on multipactor formation
  • Citing Article
  • October 2023

... It has been recognized that similarity laws can correlate discharge parameters across dimensional scales through similarity transformations [16][17][18]. Classical theories, such as Paschen's law and Townsend's theory, have shown that discharge behaviors (especially the breakdown processes [19,20]) can be grouped by using combined parameters, such as pd (pressure times distance) and E=p (electric field divided by pressure), which however mostly applies in a fluid regime with limitations (e.g., local field or energy approximations) [21]. Sauppe et al. [22] demonstrate the concept of hydrodynamic similarity for spatiotemporally scale-invariant Rayleigh-Taylor instabilities in laser-driven wire implosions. ...

Similarity-based scaling networks for capacitive radio frequency discharge plasmas

... Multipactor is a phenomenon that occurs in environments characterized by low pressure or vacuum and is instigated by resonant radio frequency, RF, electric fields. [1][2][3][4][5][6][7][8] The large electron mean-freepath in vacuum allows electric fields to freely accelerate electrons toward surfaces. When the electrons strike a boundary, there is a finite probability that secondary electrons are generated, adding to the overall electron population. ...

Two Surface Multipactor with Non-Sinusoidal RF Fields and Space Charge Effects
  • Citing Conference Paper
  • April 2023

... The surface process becomes dominated by ion-induced secondary electron emission rather than field emission, and a quasineutral plasma region is formed inside the gap. In certain scenarios (e.g., multipactor discharges, laser-produced plasmas), metastable particles, photons, electrons, and fast atoms can also cause secondary electron emission [53][54][55][56], which may also have potential effects on microscale breakdown. The microdischarge models are constructed via both one-dimensional (1D) and two-dimensional (2D) fluid methods. ...

Recent advances in multipactor physics and mitigation

... During the sheath expansion phase, electrons are pushed back from the electrodes to the center [137][138][139]. These electrons then ionize the background gas [140]. This periodic motion, combined with electron drift in the oscillating field, results in a time-averaged electron density that peaks in the center and decreases towards the electrodes, as seen in Fig. 9(a). ...

On the importance of excited state species in low pressure capacitively coupled plasma argon discharges

... Multipactor is a phenomenon that occurs in environments characterized by low pressure or vacuum and is instigated by resonant radio frequency, RF, electric fields. [1][2][3][4][5][6][7][8] The large electron mean-freepath in vacuum allows electric fields to freely accelerate electrons toward surfaces. When the electrons strike a boundary, there is a finite probability that secondary electrons are generated, adding to the overall electron population. ...

Quantitative analysis of multipactor threshold sensitivity to secondary emission yield of microwave devices
  • Citing Article
  • March 2023

... Plasma discharges have been a topic of continuous great interest because of their numerous applications in surface treatment and spectroscopy, space propulsion, environmental and agricultural fields, and plasma medicine [1][2][3][4][5][6][7][8][9][10][11][12][13]. They are * Authors to whom any correspondence should be addressed. ...

Influence of discharge polarity on streamer breakdown criterion of ambient air in a non-uniform electric field