Phase field model of Coulomb explosion damage in solid induced by ultrashort laser

Lihong Ao; Qin Zhang

REVIEW 4 major objections 4 minor 83 references

Phase field model of Coulomb explosion damage in solid induced by ultrashort laser

T0 review · 4 major / 4 minor · reviewed 2026-08-16 · deepseek-v4-flash

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Pith's one-line read A phase-field model of Coulomb-explosion damage links electron pressure to crater shape under ultrashort laser pulses.

desk verdict A genuinely new phase-field framework for Coulomb explosion damage, but the central mobility derivation in Eq. (10) is algebraically inconsistent with its own energy balance, so the quantitative scaling claims are unsupported as written. read the letter →

arxiv 2504.12774 v1 pith:IW23IMHI submitted 2025-04-17 physics.optics cond-mat.otherphysics.comp-ph

Lihong Ao , Qin Zhang This is my paper · ORCID

classification physics.opticscond-mat.otherphysics.comp-ph

keywords CoulombexplosionphasefieldmodelAllen-Cahnequationultrashortlaserablationnon-thermaldamageelectronpressurefemtosecondfusedsilica

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

This paper aims to provide the first continuum-scale description of the damage left when an ultrashort laser pulse removes material by Coulomb explosion rather than by melting. It represents damaged material with a phase-field variable whose evolution is governed by the Allen-Cahn equation, and it ties the three parameters of that equation to a concrete picture: excited electrons produce a pressure that ejects small equivalent particles of size $l$ once that pressure overtakes the interatomic binding barrier. The authors simulate 150-fs pulses on fused silica and show that the damage phase grows to a stable crater on a timescale of about 1 ps, before heat can melt anything. If correct, the model turns two intuitive microscopic quantities, particle size and a critical release distance, into predictions of crater morphology under different laser conditions.

What carries the argument

The load-bearing object is the asymmetric double-well bulk free energy density $f(\varphi)=\left(\alpha(\varphi-1)^2+\beta(\varphi-\tfrac{3}{2})\right)\varphi^2$ together with the Allen-Cahn relaxation equation $\partial_t\varphi=-M\left(\varphi(\varphi-1)\left(3\beta+\alpha(4\varphi-2)\right)-\kappa\nabla^2\varphi\right)+S_{\mathrm{nuc}}$. The parameters are fixed by a conceptual particle-emission mechanism: $\alpha=16\frac{a}{l}\varepsilon_s$, $\beta=2(\varepsilon_e-\varepsilon_s)$, and $M=\frac{1}{\sigma}\sqrt{\frac{2n_e l}{\rho\chi}}\left[\left(\frac{3^{2/3}\pi^{4/3}\hbar^2 n_e^{2/3}}{5m_e}\right)^2+(k_B T_e)^2\right]^{1/4}$, where $\varepsilon_e$ is the electron-gas internal energy density, $\varepsilon_s$ the vaporization energy density, $a$ the lattice constant, $l$ the equivalent-particle size, $\chi$ the critical distance, and $\sigma$ the interfacial energy. These formulas carry the whole argument: they convert electron density and temperature, computed by a one-way-coupled ionization-heating and two-temperature model, into the phase-field parameters that determine whether and how fast damage grows.

What would settle it

Measure single-shot crater cross-sections in fused silica under the simulated conditions (600 nm, 150 fs, about 20 TW/$cm^{2}$) with varying fluence: if craters appear at fluences where the computed free-energy release $\beta=2(\varepsilon_e-\varepsilon_s)$ never exceeds zero, or if the crater area does not increase monotonically with equivalent particle size $l$ as Eq. (9) predicts, the parameter mapping in Eqs. (7)-(11) is falsified. A second check: time-resolved probing of the surface should show the damage phase arresting near 1 ps; a measurable crater growing on a much longer thermal timescale would contradict the model's timescale claim.

Watch

Extended reading notes

Core claim

The central claim, stated on the paper's own terms, is that Coulomb-explosion damage can be treated as a non-thermal solid-solid phase transition whose order parameter $\varphi$ obeys Allen-Cahn kinetics with a free energy density $f(\varphi)=\left(\alpha(\varphi-1)^2+\beta(\varphi-\tfrac{3}{2})\right)\varphi^2$. The barrier parameter $\alpha$ and the free-energy-release parameter $\beta$ are derived from the electron-gas internal energy of Sommerfeld theory, the heat of vaporization of the lattice, and the ratio $a/l$ of lattice constant to equivalent-particle side length; the mobility $M$ follows from equating the kinetic energy of an ejected particle to the work done by electron pressure over the critical distance $\chi$. The numerical example on fused silica yields a disc-shaped crater, with final damage area $A_\infty$ increasing as a convex function of $l$ and decreasing roughly linearly with $\log_2(\chi)$, and with damage suppressed for $l \le 2\,\mathrm{nm}$ at the simulated fluence.

Load-bearing premise

The model collapses if damage is not well described by the ejection of identical equivalent particles of a single size $l$, because both the crater depth and the damage threshold depend on $l$ and on the assumed critical distance $\chi$ at which electron pressure drops abruptly to zero.

Editorial extensions

If this is right

Non-thermal ablation can now be simulated as a continuum process: the same style of phase-field equation used for solidification and fracture is applied to Coulomb-explosion cratering, so existing numerical solvers and meshing tools can be reused.
The model predicts damage morphology for arbitrary laser conditions within the one-way-coupling regime, after calibrating the equivalent-particle size $l$ and the critical distance $\chi$ for a given material.
Crater depth and area are dominated by equivalent particle size rather than by the critical distance: doubling $l$ from 2.5 to 5 nm enlarges the final area by 54.3%, while a hundred-fold change in $\chi$ changes it by only 17.4%.
Below an equivalent-particle size of about 2 nm, the predicted damage is negligible at the examined energy density, furnishing a size-based threshold for the onset of ablation.
Since damage evolution completes in about 1 ps, the model implies that crater morphology is fixed on the electron-ion relaxation timescale, indicating why mechanical-wave and thermal-fluid effects play a secondary role in this regime.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

One testable extension: if crater area is measured as a function of pulse fluence, the scaling $A_\infty(l)$ could be inverted to extract an effective equivalent-particle size for each material, turning $l$ and $\chi$ from free parameters into calibrated material properties.
The one-way coupling used here deliberately ignores feedback of damage on the optical and electronic fields; predictions for multi-pulse or long-pulse lasers would require a two-way coupling, and the model's results in that regime should be regarded as tentative until such feedback is added.
The simulated self-defocusing widens the ionization zone laterally, which in the model translates into a wide shallow crater; this suggests the crater width may be controlled by the nonlinear refractive response rather than by the beam waist, a prediction one could test by varying the Kerr coefficient.
Because the damage phase arrests in about 1 ps, pump-probe ellipsometry with sub-picosecond resolution should observe a stationary damage front before thermal expansion begins; observing continued growth at later times would indicate an additional thermal mechanism the model omits.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Colleague,

The paper brings something new: it's the first continuum model I've seen that uses an Allen-Cahn phase field to describe Coulomb explosion damage, coupling the order parameter to electron pressure from a Sommerfeld gas. That's a real gap between atomistic and hydrodynamic treatments, and the idea deserves attention.

The I-H model part is standard but solid, and the qualitative results—a disc-shaped crater with sharp arrest after about 1 ps—look plausible. The parameter sweep in Fig. 5 is a nice touch. Credit where due: the authors are honest about the one-way coupling and the lack of experimental validation.

The problem is in the derivation of the mobility M, Eq. (10). The text states the energy balance ρl v0²/2 = p_e χ and v_p = v0/χ. That gives M ∝ 1/√(l χ). The printed expression has M ∝ (l/χ)^{1/4}, with l in the numerator and exponent 1/4. The dimensions also don't work out to m³/(J·s). This isn't a minor typo: the paper explicitly invokes Eq. (10) to argue the evolution speed scales as χ^{1/2}, and the crater-area scaling in Sec. 3.3 is a numerical consequence of that M. With the formula corrected, the reported dependence on l and χ would change materially. Also, α contains an unexplained factor of 16 that isn't derived, and the final crater area is strongly sensitive to l and χ, both unmeasured free inputs.

The "equivalent particle" picture and the critical distance χ are hand-wavy, though not insane. The β > 0 damage criterion is basically a restatement of the Coulomb explosion condition, so it's not an independent check. The validation is entirely qualitative—no comparison to measured crater depths or thresholds.

All that said, the core idea is novel and the flaws are correctable. The paper would benefit from a serious referee who can make them fix the derivation, define or calibrate l and χ against experiment, and tone down the "validates" claim. I would not reject it offhand; I'd send it out with a request for major revision.

For an ultrafast laser materials audience, this is a paper to know about, but not yet to rely on.

Regards

Referee Report

4 major / 4 minor

Summary. The manuscript proposes a continuum phase-field model for Coulomb explosion damage in solids irradiated by ultrashort laser pulses. The model couples a nonlinear Maxwell solver, a free-electron rate equation, a two-temperature model, and an Allen-Cahn damage phase field whose parameters α, β, and M are derived from conceptual assumptions involving 'equivalent particles' of size l and a critical distance χ. Numerical simulations in COMSOL for fused silica produce disc-shaped damage craters, and a 246-point parameter sweep yields scaling relations for the final damage area with l and χ. The paper claims that the model is validated numerically and can predict damage morphology under varying laser conditions.

Significance. The problem addressed is relevant: a continuum description of non-thermal, Coulomb-explosion-driven ablation is genuinely missing, and a physically grounded phase-field model would be a useful contribution if it were correct. The paper has strengths: it provides a complete equation set with explicit parameter values, implements the model in a standard finite-element package, and makes falsifiable scaling predictions from a parameter sweep. However, the central derivation contains load-bearing inconsistencies that invalidate the reported scaling results. Because these errors affect the model's core dynamics and the quantitative conclusions of Sections 3.2 and 3.3, the manuscript in its current form does not meet the standard for publication.

major comments (4)

[Section 2.3, Eq. (10)] The mobility formula does not follow from the stated energy balance. With ρl v0²/2 = p_e χ and v_p = v0/χ, using p_e = (2/3)ε_e = n_e sqrt(A² + (k_B T_e)²) gives M = σ⁻¹ [2 n_e sqrt(A² + (k_B T_e)²)/(ρ l χ)]^{1/2}. The printed equation instead has M = σ⁻¹ [2 n_e l/(ρ χ) sqrt(A² + (k_B T_e)²)]^{1/4}, placing l in the numerator and changing the exponent to 1/4; the resulting expression is also dimensionally inconsistent with M listed as m³/(J·s). Since M controls interface migration, the statements in Sections 3.2 and 3.3 about the dependence of damage evolution on l and χ, and the crater-area scaling in Fig. 5(f), rest on an equation that does not derive from the model's own premises.
[Sections 2.3, Eqs. (5) and (6)] The Allen-Cahn equation is not the variational derivative of the stated free energy density. For f(φ) = α(φ−1)² + β(φ−3/2)φ², the functional derivative gives δF/δφ = (φ−1)(2α+3βφ) − κ∇²φ. The bracket in Eq. (6), φ(φ−1)(3β+α(4φ−2)), differs by the extra term α(4φ³−6φ²+2φ), so Eq. (6) is not the gradient flow of Eq. (5). This invalidates the claimed derivation of the evolution law from the free energy functional.
[Section 2.3, Eq. (9)] The stated condition that the maximum of f(φ) on [0,1] equals a ε_s/l is not satisfied by α = 16 a ε_s/l. With α,β > 0, f is strictly decreasing on [0,1] and its maximum is f(0) = α, so the condition would require α = a ε_s/l. The factor 16 appears without derivation and shifts the damage threshold by an order of magnitude; this is not a minor parameter because it controls the β > 0 nucleation condition.
[Section 3.2] The text claims that the evolution speed is approximately proportional to χ^{1/2} 'as suggested by Equation (10)', but Eq. (10) as printed gives M ∝ χ^{−1/4}, and the numerical result that larger χ leads to a longer time to reach a stable state indicates slower, not faster, growth. This internal contradiction cannot be resolved with the current equation and undermines the subsequent discussion of the parameter dependence.

minor comments (4)

[Section 2.4] The DPF mesh size is stated as 2 l_p with l_p = 10a, but the symbol list gives l_i = 5 nm; please clarify the relation between l_i and the phase interface thickness.
[Eq. (11)] The expression '−n·(∇·S_nuc)' appears to be a typo; a boundary flux condition should not involve a divergence operator. Please also specify the units of the coefficient 10⁻⁶ m/s/Pa.
[List of symbols] The saturation density n_a is listed as 2×10⁻²⁸ m⁻³, but the text uses 2×10²⁸ m⁻³; correct the sign of the exponent.
[References] Reference [67] contains extraneous text from a download notice and should be cleaned up; the reference list would also benefit from consistent formatting.

Circularity Check

0 steps flagged · score 2.0 of 10

No material circularity; the central derivation is self-contained. The only self-citation is a minor non-load-bearing experimental reference, and Eq. (10) contains an internal derivation/dimensional error that is a correctness risk, not a circular step.

full rationale

The model parameters α, β, and M in Eqs. (9)-(11) are derived from stated physical assumptions (equivalent-particle size l, critical distance χ, Sommerfeld electron gas), and the ionization-heating fields are solved independently from the nonlinear Maxwell, rate, and two-temperature equations; no parameter is fitted to the phase-field outputs. The damage-onset rule β>0 is a constitutive encoding of the Coulomb-explosion criterion rather than a post-hoc prediction, and the reported crater-area trends versus l and χ are emergent sensitivity consequences, not definitional identities. The only self-citation is Ref. [29] (Q. Zhang et al., 2024, sharing author Qin Zhang), used in Sec. 3.3 as an experimental comparison for disc-shaped crater morphology; it is not load-bearing. Separately, the derivation of Eq. (10) from the stated energy balance is not correctly reproduced in the printed text: from ρlv0²/2 = p_eχ and v_p = v0/χ one obtains M = σ⁻¹[2n_e√(A²+B²)/(ρlχ)]^{1/2} (l in denominator, exponent 1/2), whereas the printed Eq. (10) has l in the numerator and exponent 1/4, with dimensions inconsistent with the stated units m³/(J·s). This is an internal derivation/correctness error, not circularity. The paper also honestly states in Sec. 2.1 that one-way coupling limits long/multi-pulse use and in the Conclusion that l and χ are intuitive inputs awaiting future experimental calibration. Accordingly, no circular step is identified; score 2 reflects only the minor non-load-bearing self-citation.

Assumptions & free parameters 5 free parameters · 7 assumptions · 2 invented entities

The model rests on a small number of physical postulates and two tunable parameters (l and chi). Most other inputs are standard material constants from the literature. The free parameters and the conceptual particle/critical-distance idealization carry the predictive weight, so the model as presented is a framework rather than a closed quantitative theory.

free parameters (5)

equivalent particle size l = swept 2.5 nm to 30 nm
Controls barrier height alpha = 16 a/l epsilon_s and mobility M; final damage area A_infty increases strongly with l. No independent measurement or calibration is provided.
critical distance chi = swept 0.1 a to 10 a (a = 0.5 nm)
Controls interface mobility M and evolution kinetics; final area decreases with increasing chi. A postulated interaction range without independent evidence.
nucleation flux coefficient = 1e-6 m/s/Pa
Chosen arbitrary coefficient in Eq. (11) for boundary flux; not derived from data.
prefactor 16 in alpha = 16
Appears in alpha = 16 a/l epsilon_s without derivation; the stated maximum of f at phi=0 would require alpha = a/l epsilon_s, so this factor is unexplained.
phase interface thickness l_p = 5 nm (10 lattice constants)
Chosen to satisfy continuum approximation; sets gradient coefficient kappa.

assumptions (7)

domain assumption Allen-Cahn dynamics governs the evolution of the damage phase field
Equation (6) postulates this evolution without derivation from microscopics.
domain assumption Excited electrons form a Sommerfeld free electron gas with internal energy and pressure as given
Used in Eq. (7) and pressure relation p_e = 2/3 epsilon_e; standard but an idealization.
ad hoc to paper Damage consists of equivalent particles of identical size and shape leaving the solid
Assumptions & approximations (2); required for the energy balance and alpha, beta derivation.
ad hoc to paper Equivalent particles release all excited electronic pressure when they leave the solid
Assumptions & approximations (3); sets f(1) = -(epsilon_e - epsilon_s).
ad hoc to paper Electron pressure drops discontinuously from p_e to zero at a critical distance chi
Assumptions & approximations (4); used in kinetic energy balance and mobility formula.
domain assumption One-way coupling: the phase field does not affect electromagnetic, electron density, or temperature fields
Explicitly stated in Sec. 2.1 and Sec. 2.4; limits model to single-pulse, short-time applications.
standard math Drude model and two-temperature model describe the dielectric response and heating
Standard from cited literature; used to compute n_e, T_e, T.

invented entities (2)

Equivalent particles
purpose: Conceptual carriers of damage; used to derive beta and alpha via energy balance
No direct measurement of these particles; they are an idealization introduced to relate electron pressure to phase field parameters.
Critical distance chi
purpose: Range over which electron pressure acts on emitted particles; enters mobility M
Postulated discontinuity in pressure; no experimental handle is provided.

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Cite this review

Pith. "Pith review of Phase field model of Coulomb explosion damage in solid induced by ultrashort laser." pith.science (2026). https://pith.science/paper/IW23IMHI

@misc{pith2026250412774,
  author       = {Pith},
  title        = {Pith review of: Phase field model of Coulomb explosion damage in solid induced by ultrashort laser},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/IW23IMHI}},
  note         = {Machine review of arXiv:2504.12774}
}

read the original abstract

Much experimental evidence reveals that Coulomb explosion governs non-thermal material removal under femtosecond or even shorter laser pulses, and non-thermal laser damage has been a topic widely discussed. Nevertheless, there is still no continuum mechanical model capable of describing the evolution of such damage. In this study, we develop a model that characterizes solid damage through a phase field variable governed by Allen-Cahn dynamics. The parameter of the model is defined by a conceptual mechanism: during Coulomb explosion, electron pressure surpasses the interatomic barrier potential, dissociates material from the solid surface as small equivalent particles and resulting in localized damage. The numerical simulation validates the model's availability and demonstrate its ability to predict damage morphology under varying laser conditions. This work advances the understanding of non-thermal ablation and provides a tool for optimizing ultrafast laser processing.

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Works this paper leans on

83 extracted references · 67 canonical work pages

[1]

This interaction primarily involves the removal of material from a solid surface through laser irradiation, resulting in rapid heating and diverse phase transitions

Introduction The interaction between ultrashort laser pulses and solid materials has been extensively studied across various scientific and industrial domains, such as material processing [1]–[4], medical applications [5]–[7] and energy sector [8] since the beginning of the century. This interaction primarily involves the removal of material from a solid ...
[2]

equivalent particles

Model and numerical verification 2.1 Overview In our model, the evolution of the DPF depends on key physical quantities, including electron density, electron temperature, and lattice temperature. Figure 1 illustrates the physical processes and their coupling relationships as described by the model. The physical processes induced by ultrashort laser irradi...
[3]

The input settings include a peak intensity occurring at 𝜕𝜕 = 𝜕𝜕𝑝𝑝 = 800 fs

Results & Discussion 3.1 Results of the I-H model Figure 3 illustrates the quantities on which the evolution of the DPF depends, as obtained from the I-H model. The input settings include a peak intensity occurring at 𝜕𝜕 = 𝜕𝜕𝑝𝑝 = 800 fs. Shortly thereafter, the electron density 𝑛𝑛𝑒𝑒 rapidly reaches its maximum value at 𝜕𝜕 = 860 fs , driven by strong avala...
[4]

Conclusion We present a theoretical framework describing the solid damage evolution dynamics driven by particle emission during Coulomb explosion, elucidating the mechanism by which ultrashort laser pulses—characterized by low fluence yet high power density that insufficient to vaporize material—induce surface damage. Through four physically motivated app...

work page
[5]

Line-shaped laser lithography for efficient fabrication of large-area subwavelength nanogratings,

K. Xu, L. Huang, and S. Xu, “Line-shaped laser lithography for efficient fabrication of large-area subwavelength nanogratings,” Optica, vol. 10, no. 1, p. 97, 2023, doi: 10.1364/optica.472730

work page doi:10.1364/optica.472730 2023
[6]

Full-silica metamaterial wave plate for high- intensity UV lasers,

N. Bonod, P. Brianceau, and J. Neauport, “Full-silica metamaterial wave plate for high- intensity UV lasers,” Optica, vol. 8, no. 11, p. 1372, 2021, doi: 10.1364/optica.434662

work page doi:10.1364/optica.434662 2021
[7]

From basic understanding to technical applications,

F. Dausingera, “From basic understanding to technical applications,” Physics (College. Park. Md)., vol. 5147, pp. 106–115, 2003

work page 2003
[8]

Rapid high-quality 3D micro-machining by optimised efficient ultrashort laser ablation,

A. Žemaitis, M. Gaidys, P. Gečys, G. Račiukaitis, and M. Gedvilas, “Rapid high-quality 3D micro-machining by optimised efficient ultrashort laser ablation,” Opt. Lasers Eng., vol. 114, no. October 2018, pp. 83–89, 2019, doi: 10.1016/j.optlaseng.2018.11.001

work page doi:10.1016/j.optlaseng.2018.11.001 2018

Show all 83 references

[9]

Femtosecond lasers as novel tool in dental surgery,

J. Serbin, T. Bauer, C. Fallnich, A. Kasenbacher, and W. H. Arnold, “Femtosecond lasers as novel tool in dental surgery,” Appl. Surf. Sci., vol. 197–198, pp. 737–740, 2002, doi: 10.1016/S0169-4332(02)00402-6

2002 doi
[10]

Mechanism of lithotripsy by superpulse thulium fiber laser and its clinical efficiency,

V. Lekarev et al., “Mechanism of lithotripsy by superpulse thulium fiber laser and its clinical efficiency,” Applied Sciences (Switzerland), vol. 10, no. 21. pp. 1–11, 2020. doi: 10.3390/app10217480

2020 doi
[11]

Observation of mammalian living cells with femtosecond single pulse illumination generated by a soft X-ray free electron laser,

S. Egawa et al., “Observation of mammalian living cells with femtosecond single pulse illumination generated by a soft X-ray free electron laser,” Optica, vol. 11, no. 6, pp. 736– 743, Jun. 2024, doi: 10.1364/OPTICA.515726

2024 doi
[12]

Forward-looking insights in laser-generated ultra-intense γ-ray and neutron sources for nuclear application and science,

M. M. Günther et al., “Forward-looking insights in laser-generated ultra-intense γ-ray and neutron sources for nuclear application and science,” Nat. Commun., vol. 13, no. 1, pp. 1– 13, 2022, doi: 10.1038/s41467-021-27694-7

2022 doi
[13]

MD simulations of laser-induced ultrashort shock waves in nickel,

B. J. Demaske, V. V. Zhakhovsky, N. A. Inogamov, C. T. White, and I. I. Oleynik, “MD simulations of laser-induced ultrashort shock waves in nickel,” AIP Conf. Proc., vol. 1426, no. March, pp. 1163–1166, 2012, doi: 10.1063/1.3686486

2012 doi
[14]

Ultrashort pulse laser ablation of silicon: An MD simulation study,

R. F. W. Herrmann, J. Gerlach, and E. E. B. Campbell, “Ultrashort pulse laser ablation of silicon: An MD simulation study,” Appl. Phys. A Mater. Sci. Process., vol. 66, no. 1, pp. 35–42, 1998, doi: 10.1007/s003390050634

1998 doi
[15]

Numerical analysis of ultrashort pulse laser-induced thermomechanical response of germanium thin films,

Y. Gan and J. K. Chen, “Numerical analysis of ultrashort pulse laser-induced thermomechanical response of germanium thin films,” Nanoscale Microscale Thermophys. Eng., vol. 16, no. 4, pp. 274–287, 2012, doi: 10.1080/15567265.2012.735350

2012
[16]

Atomistic modelling of ultrafast laser-induced melting in copper,

M. Maigler et al., “Atomistic modelling of ultrafast laser-induced melting in copper,” vol. 12939, p. 61, 2024, doi: 10.1117/12.3012630

2024 doi
[17]

Study of ultrashort laser ablation of metals by molecular dynamics simulation and experimental method,

X. Liu, W. Zhou, C. Chen, L. Zhao, and Y. Zhang, “Study of ultrashort laser ablation of metals by molecular dynamics simulation and experimental method,” J. Mater. Process. Technol., vol. 203, no. 1–3, pp. 202–207, 2008, doi: 10.1016/j.jmatprotec.2007.09.084

2008 doi
[18]

Simulation of laser beam melting of steel powders using the three-dimensional volume of fluid method,

F. J. Gürtler, M. Karg, K. H. Leitz, and M. Schmidt, “Simulation of laser beam melting of steel powders using the three-dimensional volume of fluid method,” Phys. Procedia, vol. 41, pp. 881–886, 2013, doi: 10.1016/j.phpro.2013.03.162

2013 doi
[19]

A compressible multiphase Mass-of-Fluid model for the simulation of laser-based manufacturing processes,

C. Zenz et al., “A compressible multiphase Mass-of-Fluid model for the simulation of laser-based manufacturing processes,” Comput. \& FLUIDS, vol. 268, Jan. 2024, doi: 10.1016/j.compfluid.2023.106109

2024
[20]

Numerical simulation of thermal blooming with laser- induced convection,

B. F. Akers and J. A. Reeger, “Numerical simulation of thermal blooming with laser- induced convection,” J. Electromagn. WAVES Appl., vol. 33, no. 1, pp. 96–106, 2019, doi: 10.1080/09205071.2018.1528183

2019
[21]

Simulation on Plasma-Based Polarization Optics for Relativistic Laser Pulses,

J. Zhuang et al., “Simulation on Plasma-Based Polarization Optics for Relativistic Laser Pulses,” ACTA Opt. Sin., vol. 45, no. 2, Jan. 2025, doi: 10.3788/AOS241466

2025 doi
[22]

Effect of plasma on ultrashort pulse laser material processing,

C. Li, S. R. Vatsya, and S. K. Nikumb, “Effect of plasma on ultrashort pulse laser material processing,” J. Laser Appl., vol. 19, no. 1, pp. 26–31, 2007, doi: 10.2351/1.2402521

2007 doi
[23]

State-to-state modeling of ultrashort laser-induced plasmas,

V. Morel, A. Bultel, I. Schneider, and C. Grisolia, “State-to-state modeling of ultrashort laser-induced plasmas,” Spectrochim. Acta - Part B At. Spectrosc., vol. 127, pp. 7–19, 2017, doi: 10.1016/j.sab.2016.11.002

2017 doi
[24]

Phase transitions in femtosecond laser ablation,

M. E. Povarnitsyn, K. V. Khishchenko, and P. R. Levashov, “Phase transitions in femtosecond laser ablation,” Appl. Surf. Sci., vol. 255, no. 10, pp. 5120–5124, 2009, doi: 10.1016/j.apsusc.2008.07.199

2009 doi
[25]

Implementation of kinetics of phase transitions into hydrocode for simulation of laser ablation,

M. E. Povarnitsyn, P. R. Levashov, and K. V. Khishchenko, “Implementation of kinetics of phase transitions into hydrocode for simulation of laser ablation,” High-Power Laser Ablation VII, vol. 7005, p. 700508, 2008, doi: 10.1117/12.782581

2008 doi
[26]

Femtosecond pulse laser ablation of chromium: experimental results and two-temperature model simulations,

M. Saghebfar, M. K. Tehrani, S. M. R. Darbani, and A. E. Majd, “Femtosecond pulse laser ablation of chromium: experimental results and two-temperature model simulations,” Appl. Phys. A Mater. Sci. Process., vol. 123, no. 1, pp. 1–9, 2017, doi: 10.1007/s00339- 016-0660-0

2017 doi
[27]

Dual-wavelength femtosecond laser-induced single-shot damage and ablation of silicon,

A. V. Bulgakov, J. Sládek, J. Hrabovský, I. Mirza, W. Marine, and N. M. Bulgakova, “Dual-wavelength femtosecond laser-induced single-shot damage and ablation of silicon,” Appl. Surf. Sci., vol. 643, no. July 2023, 2024, doi: 10.1016/j.apsusc.2023.158626

2023
[28]

Laser ablation driven by femtosecond optical and XUV pulses,

N. Stojanovic, “Laser ablation driven by femtosecond optical and XUV pulses,” 2008

2008
[29]

A review of Laser Ablation Propulsion,

C. Phipps, W. Bohn, T. Lippert, A. Sasoh, W. Schall, and J. Sinko, “A review of Laser Ablation Propulsion,” AIP Conf. Proc., vol. 1278, no. January 1998, pp. 710–722, 2010, doi: 10.1063/1.3507164

1998 doi
[30]

Theoretical and experimental study on femtosecond laser induced damage in CaF2 crystals,

T. Q. Jia et al., “Theoretical and experimental study on femtosecond laser induced damage in CaF2 crystals,” Appl. Phys. A Mater. Sci. Process., vol. 81, no. 3, pp. 645–649, 2005, doi: 10.1007/s00339-004-2685-z

2005 doi
[31]

Visualizing femtosecond- laser processed graphene micropatterns through AFM phase and multi-parametric Raman mapping,

D. Soto-Puebla, J. A. Parada-Peralta, and S. Alvarez-Garcia, “Visualizing femtosecond- laser processed graphene micropatterns through AFM phase and multi-parametric Raman mapping,” Appl. Surf. Sci., vol. 685, no. December 2024, p. 162051, 2025, doi: 10.1016/j.apsusc.2024.162051

2024
[32]

Microscopic characterization of ablation craters produced by femtosecond laser pulses,

V. Temnov et al., “Microscopic characterization of ablation craters produced by femtosecond laser pulses,” in High-Power Laser Ablation IV, 2002, p. 1032. doi: 10.1117/12.482062

2002 doi
[33]

Growth of laser damage in fused silica and CaF2 under 263 nm laser irradiation,

Q. Zhang et al., “Growth of laser damage in fused silica and CaF2 under 263 nm laser irradiation,” Appl. Phys. B Lasers Opt., vol. 130, no. 8, pp. 1–8, 2024, doi: 10.1007/s00340-024-08287-w

2024 doi
[34]

Single-shot selective femtosecond and picosecond infrared laser crystallization of an amorphous Ge/Si multilayer stack,

V. A. Volodin et al., “Single-shot selective femtosecond and picosecond infrared laser crystallization of an amorphous Ge/Si multilayer stack,” Opt. Laser Technol., vol. 161, no. January, 2023, doi: 10.1016/j.optlastec.2023.109161

2023
[35]

Non-thermal regimes of laser annealing of semiconductor nanostructures: crystallization without melting,

I. Mirza et al., “Non-thermal regimes of laser annealing of semiconductor nanostructures: crystallization without melting,” Front. Nanotechnol., vol. 5, no. October, pp. 1–12, 2023, doi: 10.3389/fnano.2023.1271832

2023
[36]

Ultrafast laser-induced order-disorder transitions in semiconductors,

K. Sokolowski-Tinten, J. Bialkowski, and D. Von Der Linde, “Ultrafast laser-induced order-disorder transitions in semiconductors,” Phys. Rev. B, vol. 51, no. 20, pp. 14186– 14198, 1995, doi: 10.1103/PhysRevB.51.14186

1995 doi
[37]

Laser-induced crystallization of anodic TiO2nanotube layers,

H. Sopha et al., “Laser-induced crystallization of anodic TiO2nanotube layers,” RSC Adv., vol. 10, no. 37, pp. 22137–22145, 2020, doi: 10.1039/d0ra02929g

2020 doi
[38]

Inducing and probing non-thermal transitions in semiconductors using femtosecond laser pulses,

S. K. Sundaram and E. Mazur, “Inducing and probing non-thermal transitions in semiconductors using femtosecond laser pulses,” Nat. Mater., vol. 1, no. 4, pp. 217–224, 2002, doi: 10.1038/nmat767

2002 doi
[39]

Damage and ablation thresholds of fused-silica in femtosecond regime,

B. Chimier et al., “Damage and ablation thresholds of fused-silica in femtosecond regime,” Phys. Rev. B - Condens. Matter Mater. Phys., vol. 84, no. 9, pp. 1–10, 2011, doi: 10.1103/PhysRevB.84.094104

2011 doi
[40]

Nanosecond-to- femtosecond laser-induced breakdown in dielectrics,

B. Stuart, M. Feit, S. Herman, A. Rubenchik, B. Shore, and M. Perry, “Nanosecond-to- femtosecond laser-induced breakdown in dielectrics,” Phys. Rev. B - Condens. Matter Mater. Phys., vol. 53, no. 4, pp. 1749–1761, 1996, doi: 10.1103/PhysRevB.53.1749

1996 doi
[41]

Femtosecond laser induced Coulomb explosion from calcium fluoride,

F. Costache and J. Reif, “Femtosecond laser induced Coulomb explosion from calcium fluoride,” Thin Solid Films, vol. 453–454, pp. 334–339, 2004, doi: 10.1016/j.tsf.2003.11.096

2004 doi
[42]

Femtosecond laser pulse induced coulomb explosion,

R. Annou and V. K. Tripathi, “Femtosecond laser pulse induced coulomb explosion,” 34th EPS Conf. Plasma Phys. 2007, EPS 2007 - Europhys. Conf. Abstr., vol. 31, no. 3, pp. 1777–1780, 2007

2007
[43]

Laser-induced Coulomb explosion in C and Si nanoclusters: The determining role of pulse duration,

C. Chenard-Lemire, L. J. Lewis, and M. Meunier, “Laser-induced Coulomb explosion in C and Si nanoclusters: The determining role of pulse duration,” Appl. Surf. Sci., vol. 258, no. 23, pp. 9404–9407, 2012, doi: 10.1016/j.apsusc.2011.11.022

2012 doi
[44]

Possible evidence of Coulomb explosion in the femtosecond laser ablation of metal at low laser fluence,

S. Li et al., “Possible evidence of Coulomb explosion in the femtosecond laser ablation of metal at low laser fluence,” Appl. Surf. Sci., vol. 355, pp. 681–685, 2015, doi: 10.1016/j.apsusc.2015.07.136

2015 doi
[45]

Role of electron pressure in the problem of femtosecond laser action on metals,

V. I. Mazhukin, M. M. Demin, A. V. Shapranov, and A. V. Mazhukin, “Role of electron pressure in the problem of femtosecond laser action on metals,” Appl. Surf. Sci., vol. 530, no. July, p. 147227, 2020, doi: 10.1016/j.apsusc.2020.147227

2020
[46]

Thermal two-phase flow with a phase-field method,

K. Park, M. Fernandino, and C. A. Dorao, “Thermal two-phase flow with a phase-field method,” Int. J. Multiph. Flow, vol. 100, pp. 77–85, 2018, doi: 10.1016/j.ijmultiphaseflow.2017.12.005

2018 doi
[47]

Phase Field Simulation of Viscous Sintering,

S. Guo, W. Liu, Q. Yang, X. Qi, and D. Yun, “Phase Field Simulation of Viscous Sintering,” Jinshu Xuebao/Acta Metall. Sin., vol. 60, no. 12, pp. 1691–1700, 2024, doi: 10.11900/0412.1961.2022.00445

2024
[48]

Phase field simulation of single bubble behavior under magnetic field,

C. sheng Zhu, Y. Lei, P. Lei, Z. hao Gao, and B. rui Zhao, “Phase field simulation of single bubble behavior under magnetic field,” Chinese J. Phys., vol. 89, no. January 2023, pp. 820–833, 2024, doi: 10.1016/j.cjph.2023.10.029

2023 doi
[49]

Phase-field simulations of crystal growth,

M. Plapp, “Phase-field simulations of crystal growth,” AIP Conf. Proc., vol. 1270, no. July 2010, pp. 247–254, 2010, doi: 10.1063/1.3476229

2010 doi
[50]

Mathematical Formulation of a Kinetic Version of Stefan Problem for Heterogeneous Melting / Crystallization of Metals,

V. I. Mazhukin, A. V Shapranov, A. V Mazhukin, and O. N. Koroleva, “Mathematical Formulation of a Kinetic Version of Stefan Problem for Heterogeneous Melting / Crystallization of Metals,” Math. Montisnigri, vol. XXXVI, pp. 58–77, 2016

2016
[51]

Nucleation and successive microstructure evolution via phase-field and phase-field crystal method,

R. Prieler, D. Li, and H. Emmerich, “Nucleation and successive microstructure evolution via phase-field and phase-field crystal method,” J. Cryst. Growth, vol. 312, no. 8, pp. 1434–1436, 2010, doi: 10.1016/j.jcrysgro.2009.09.022

2010 doi
[52]

3D Lithiophilic CuZrAg Metallic Glass Based-Current Collector for High- Performance Lithium Metal Anode,

P. Ye et al., “3D Lithiophilic CuZrAg Metallic Glass Based-Current Collector for High- Performance Lithium Metal Anode,” Small, vol. 19, no. 52, pp. 1–13, 2023, doi: 10.1002/smll.202304373

2023 doi
[53]

Phase-field simulations of ferroelectric/ferroelastic polarization switching,

J. Wang, S.-Q. Shi, L.-Q. Chen, Y. Li, and T.-Y. Zhang, “Phase-field simulations of ferroelectric/ferroelastic polarization switching,” Acta Mater., vol. 52, no. 3, pp. 749–764, 2004, doi: https://doi.org/10.1016/j.actamat.2003.10.011

2004 doi
[54]

A review of continuum damage and plasticity in concrete: Part I – Theoretical framework,

T. Park, B. Ahmed, and G. Z. Voyiadjis, “A review of continuum damage and plasticity in concrete: Part I – Theoretical framework,” Int. J. Damage Mech., vol. 31, no. 6, pp. 901– 954, 2022, doi: 10.1177/10567895211068174

2022 doi
[55]

Maximum mechano-damage power release-based phase- field modeling of mass diffusion in damaging deformable solids,

E. Barchiesi and N. Hamila, “Maximum mechano-damage power release-based phase- field modeling of mass diffusion in damaging deformable solids,” Zeitschrift fur Angew. Math. und Phys., vol. 73, no. 1, pp. 1–21, 2022, doi: 10.1007/s00033-021-01668-7

2022 doi
[56]

Nonlocal damage model using the phase field method: Theory and applications,

G. Z. Voyiadjis and N. Mozaffari, “Nonlocal damage model using the phase field method: Theory and applications,” Int. J. Solids Struct., vol. 50, no. 20–21, pp. 3136–3151, 2013, doi: 10.1016/j.ijsolstr.2013.05.015

2013 doi
[57]

Simulation of damage evolution in discontinously reinforced metal matrix composites: A phase-field model,

S. B. Biner and S. Y. Hu, “Simulation of damage evolution in discontinously reinforced metal matrix composites: A phase-field model,” Int. J. Fract., vol. 158, no. 2, pp. 99–105, 2009, doi: 10.1007/s10704-009-9351-6

2009 doi
[58]

Nanopore-mediated ultrashort laser- induced formation and erasure of volume nanogratings in glass,

A. Rudenko, J. P. Colombier, and T. E. Itina, “Nanopore-mediated ultrashort laser- induced formation and erasure of volume nanogratings in glass,” Phys. Chem. Chem. Phys., vol. 20, no. 8, pp. 5887–5899, 2018, doi: 10.1039/c7cp07603g

2018 doi
[59]

From random inhomogeneities to periodic nanostructures induced in bulk silica by ultrashort laser,

A. Rudenko, J. P. Colombier, and T. E. Itina, “From random inhomogeneities to periodic nanostructures induced in bulk silica by ultrashort laser,” Phys. Rev. B, vol. 93, no. 7, pp. 1–13, 2016, doi: 10.1103/PhysRevB.93.075427

2016 doi
[60]

Towards a numerical model of picosecond laser-material interaction in bulk sapphire,

L. Capuano, D. de Zeeuw, and G. R. B. E. Römer, “Towards a numerical model of picosecond laser-material interaction in bulk sapphire,” J. Laser Micro Nanoeng., vol. 13, no. 3, pp. 166–177, 2018, doi: 10.2961/jlmn.2018.03.0005

2018 doi
[61]

Trade-Off between Second- and Third-Order Nonlinearities, Ultrafast Free Carrier Absorption and Material Damage in Silicon Nanoparticles,

A. Rudenko, A. Han, and J. V. Moloney, “Trade-Off between Second- and Third-Order Nonlinearities, Ultrafast Free Carrier Absorption and Material Damage in Silicon Nanoparticles,” Adv. Opt. Mater., vol. 11, no. 2, pp. 1–7, 2023, doi: 10.1002/adom.202201654

2023 doi
[62]

On the role of nanopore formation and evolution in multi-pulse laser nanostructuring of glasses,

A. Rudenko, H. Ma, V. P. Veiko, J. P. Colombier, and T. E. Itina, “On the role of nanopore formation and evolution in multi-pulse laser nanostructuring of glasses,” Appl. Phys. A Mater. Sci. Process., vol. 124, no. 1, pp. 1–11, 2018, doi: 10.1007/s00339-017- 1492-2

2018 doi
[63]

Plasma-free water droplet shattering by long-wave infrared ultrashort pulses for efficient fog clearing,

A. Rudenko, P. Rosenow, V. Hasson, and J. V. Moloney, “Plasma-free water droplet shattering by long-wave infrared ultrashort pulses for efficient fog clearing,” Optica, vol. 7, no. 2, p. 115, 2020, doi: 10.1364/optica.382054

2020 doi
[64]

Ultrafast optical ablation of gold nanoparticles: An electron dynamics model for coulomb explosion,

Y. Liu, H. Fan, H. Liu, and Q. Dai, “Ultrafast optical ablation of gold nanoparticles: An electron dynamics model for coulomb explosion,” Surfaces and Interfaces, vol. 56, no. October 2024, p. 105547, 2025, doi: 10.1016/j.surfin.2024.105547

2024
[65]

Ultrafast Coulomb explosion imaging of molecules and molecular clusters,

X. Li et al., “Ultrafast Coulomb explosion imaging of molecules and molecular clusters,” Chinese Phys. B, vol. 31, no. 10, 2022, doi: 10.1088/1674-1056/ac89df

2022 doi
[66]

Subpicosecond study of carrier trapping dynamics in wide-band-gap crystals,

P. Martin et al., “Subpicosecond study of carrier trapping dynamics in wide-band-gap crystals,” Phys. Rev. B - Condens. Matter Mater. Phys., vol. 55, no. 9, pp. 5799–5810, 1997, doi: 10.1103/PhysRevB.55.5799

1997 doi
[67]

Kinetics of high-density plasmas generated in Si by 1.06- and 0.53- m picosecond laser pulses,

H. M. Van Driel, “Kinetics of high-density plasmas generated in Si by 1.06- and 0.53- m picosecond laser pulses,” Phys. Rev. B, vol. 35, no. 15, pp. 8166–8176, 1987, doi: 10.1103/PhysRevB.35.8166

1987 doi
[68]

Laser damage in silicon: Energy absorption, relaxation, and transport,

A. Rämer, O. Osmani, and B. Rethfeld, “Laser damage in silicon: Energy absorption, relaxation, and transport,” J. Appl. Phys., vol. 116, no. 5, p. 53508, 2014, doi: 10.1063/1.4891633

2014 doi
[69]

Laser-induced modification of transparent crystals and glasses,

N. M. Bulgakova, R. Stoian, and A. Rosenfeld, “Laser-induced modification of transparent crystals and glasses,” vol. 40, 2010, doi: 10.1070/QE2010V040N11ABEH014445

2010 doi
[70]

Non-reflecting boundary conditions for electromagnetic scattering,

M. J. Grote, “Non-reflecting boundary conditions for electromagnetic scattering,” Int. J. Numer. Model. Electron. Networks, Devices Fields, vol. 13, no. 5, pp. 397–416, 2000, doi: 10.1002/1099-1204(200009/10)13:5<397::AID-JNM374>3.0.CO;2-5

doi
[71]

J. N. Ed, “Downloaded 02 / 25 / 25 to 120 . 229 . 205 . 223 . Redistribution subject to SIAM license or copyright ; see https://epubs.siam.org/terms-privacy SCATTERING OF MAXWELL ’ S EQUATIONS WITH A LEONTOVICH BOUNDARY CONDITION,” vol. 59, no. 4, pp. 1322–1334, 1999

1999
[72]

Incoming and disappearing solutions for Maxwell’s equations,

F. Colombini, V. Petkov, and J. Rauch, “Incoming and disappearing solutions for Maxwell’s equations,” Proc. Am. Math. Soc., vol. 139, no. 6, pp. 2163–2173, 2011, doi: 10.1090/s0002-9939-2011-10885-2

2011 doi
[73]

Ultrafast Laser Manipulation of In-Lattice Plasmonic Nanoparticles,

H. Zhu, L. Chu, H. Lv, Q. Ye, S. Juodkazis, and F. Chen, “Ultrafast Laser Manipulation of In-Lattice Plasmonic Nanoparticles,” Adv. Sci., vol. 2402840, pp. 1–10, 2024, doi: 10.1002/advs.202402840

2024 doi
[74]

Femtosecond laser ionization mass spectrometric analysis of layers grown by pulsed laser deposition,

F. Costache, M. Ratzke, D. Wolfframm, and J. Reif, “Femtosecond laser ionization mass spectrometric analysis of layers grown by pulsed laser deposition,” Appl. Surf. Sci., vol. 247, no. 1–4, pp. 249–255, 2005, doi: 10.1016/j.apsusc.2005.01.064

2005 doi
[75]

Relativistic Coulomb Explosion of a Spherical Microtarget,

V. F. Kovalev and V. Y. Bychenkov, “Relativistic Coulomb Explosion of a Spherical Microtarget,” Bull. Lebedev Phys. Inst., vol. 50, no. October, pp. S762–S771, 2023, doi: 10.3103/S1068335623190089

2023 doi
[76]

Three-dimensional phase-field simulations of directional solidification,

M. Plapp, “Three-dimensional phase-field simulations of directional solidification,” J. Cryst. Growth, vol. 303, no. 1 SPEC. ISS., pp. 49–57, 2007, doi: 10.1016/j.jcrysgro.2006.12.064

2007 doi
[77]

Phase-field modeling and simulations of dendrite growth,

T. Takaki, “Phase-field modeling and simulations of dendrite growth,” ISIJ Int., vol. 54, no. 2, pp. 437–444, 2014, doi: 10.2355/isijinternational.54.437

2014 doi
[78]

Kinetics and Dynamics of Phase Transformations in Metals Under Action of Ultra-Short High-Power Laser Pulses,

V. I. Mazhukin, “Kinetics and Dynamics of Phase Transformations in Metals Under Action of Ultra-Short High-Power Laser Pulses,” Laser Pulses - Theory, Technol. Appl., 2012, doi: 10.5772/50731

2012 doi
[79]

The structure of the electrical double layer at the metal-vacuum interface,

V. I. Mazhukin, A. V. Shapranov, and A. V. Mazhukin, “The structure of the electrical double layer at the metal-vacuum interface,” Math. Montisnigri, vol. 44, no. April, pp. 110–121, 2019, doi: 10.20948/mathmon-2019-44-9

2019 doi
[80]

On a two-phase incompressible diffuse interface fluid model with curvature-dependent mobility,

J. Yang and J. Kim, “On a two-phase incompressible diffuse interface fluid model with curvature-dependent mobility,” J. Comput. Phys., vol. 525, p. 113764, 2025, doi: https://doi.org/10.1016/j.jcp.2025.113764

2025
[81]

Phase field calculation of interface mobility in a ternary alloy,

G. WANG, D. ZENG, and Z. LIU, “Phase field calculation of interface mobility in a ternary alloy,” Trans. Nonferrous Met. Soc. China, vol. 22, no. 7, pp. 1711–1716, 2012, doi: https://doi.org/10.1016/S1003-6326(11)61377-0

2012 doi
[82]

Fracture Toughness, Fracture Strength, and Stress Corrosion Cracking of Silicon Dioxide Thin Films,

V. Hatty, H. Kahn, and A. H. Heuer, “Fracture Toughness, Fracture Strength, and Stress Corrosion Cracking of Silicon Dioxide Thin Films,” J. Microelectromechanical Syst., vol. 17, no. 4, pp. 943–947, 2008, doi: 10.1109/JMEMS.2008.927069

2008
[83]

Self-defocusing of super-Gaussian laser beam in tunnel ionized plasmas,

H. K. Malik and L. Devi, “Self-defocusing of super-Gaussian laser beam in tunnel ionized plasmas,” Optik (Stuttg)., vol. 222, no. May, p. 165357, 2020, doi: 10.1016/j.ijleo.2020.165357

2020

Pith tools

Reviewed August 16, 2026 · model on record in the stance chip above.

[1] [1]

This interaction primarily involves the removal of material from a solid surface through laser irradiation, resulting in rapid heating and diverse phase transitions

Introduction The interaction between ultrashort laser pulses and solid materials has been extensively studied across various scientific and industrial domains, such as material processing [1]–[4], medical applications [5]–[7] and energy sector [8] since the beginning of the century. This interaction primarily involves the removal of material from a solid ...

[2] [2]

equivalent particles

Model and numerical verification 2.1 Overview In our model, the evolution of the DPF depends on key physical quantities, including electron density, electron temperature, and lattice temperature. Figure 1 illustrates the physical processes and their coupling relationships as described by the model. The physical processes induced by ultrashort laser irradi...

[3] [3]

The input settings include a peak intensity occurring at 𝜕𝜕 = 𝜕𝜕𝑝𝑝 = 800 fs

Results & Discussion 3.1 Results of the I-H model Figure 3 illustrates the quantities on which the evolution of the DPF depends, as obtained from the I-H model. The input settings include a peak intensity occurring at 𝜕𝜕 = 𝜕𝜕𝑝𝑝 = 800 fs. Shortly thereafter, the electron density 𝑛𝑛𝑒𝑒 rapidly reaches its maximum value at 𝜕𝜕 = 860 fs , driven by strong avala...

[4] [4]

Conclusion We present a theoretical framework describing the solid damage evolution dynamics driven by particle emission during Coulomb explosion, elucidating the mechanism by which ultrashort laser pulses—characterized by low fluence yet high power density that insufficient to vaporize material—induce surface damage. Through four physically motivated app...

work page

[5] [5]

Line-shaped laser lithography for efficient fabrication of large-area subwavelength nanogratings,

K. Xu, L. Huang, and S. Xu, “Line-shaped laser lithography for efficient fabrication of large-area subwavelength nanogratings,” Optica, vol. 10, no. 1, p. 97, 2023, doi: 10.1364/optica.472730

work page doi:10.1364/optica.472730 2023

[6] [6]

Full-silica metamaterial wave plate for high- intensity UV lasers,

N. Bonod, P. Brianceau, and J. Neauport, “Full-silica metamaterial wave plate for high- intensity UV lasers,” Optica, vol. 8, no. 11, p. 1372, 2021, doi: 10.1364/optica.434662

work page doi:10.1364/optica.434662 2021

[7] [7]

From basic understanding to technical applications,

F. Dausingera, “From basic understanding to technical applications,” Physics (College. Park. Md)., vol. 5147, pp. 106–115, 2003

work page 2003

[8] [8]

Rapid high-quality 3D micro-machining by optimised efficient ultrashort laser ablation,

A. Žemaitis, M. Gaidys, P. Gečys, G. Račiukaitis, and M. Gedvilas, “Rapid high-quality 3D micro-machining by optimised efficient ultrashort laser ablation,” Opt. Lasers Eng., vol. 114, no. October 2018, pp. 83–89, 2019, doi: 10.1016/j.optlaseng.2018.11.001

work page doi:10.1016/j.optlaseng.2018.11.001 2018