Matthew R. Edwards

Using particle-in-cell simulations to study nonrelativistic laser pulse propagation in a under-critical plasma, we identify a novel mechanism that occurs during the growth of turbulent magnetic loops: electron penetration heating. The loops have an electromagnetic left-hand chirality distinct from that of well-known quasistatic magnetic islands. The fast electrons penetrate through the loops and thus are accelerated to unexpected relativistic energies due to the symmetry breaking induced by the coupling between the loop field and the non-relativistic electromagnetic wave. The identified features of penetration heating and magnetic loops might provide an alternative perspective for understanding superponderomotive electron heating in under-critical plasmas irradiated by nonrelativistic laser pulses. This is a potential explanation for anomalous hot electron generation in scenarios of laser-driven inertial confinement fusion.

High-energy terahertz pulses are challenging to produce due to the low conversion efficiency and limited optical damage threshold of nonlinear crystals. Here, we describe the high-efficiency generation of terahertz radiation pulses with tunable frequency and field strengths exceeding 500 GV/m by propagating two-color laser pulses through a strongly magnetized plasma. The field strength is substantially enhanced by utilizing two extraordinary-mode branches to minimize the phase mismatch. We derive the phase-matching conditions and characterize the nonlinear coupling analytically, and validate these predictions with particle-in-cell simulations. These results establish a new pathway toward next-generation intense terahertz sources with performance well beyond the limits of existing plasma mechanisms and conventional crystal-based approaches.

High-energy terahertz pulses are challenging to produce due to the low conversion efficiency and limited optical damage threshold of nonlinear crystals. Here, we describe the high-efficiency generation of terahertz radiation pulses with tunable frequency and field strengths exceeding 500 GV/m by propagating two-color laser pulses through a strongly magnetized plasma. The field strength is substantially enhanced by utilizing two extraordinary-mode branches to minimize the phase mismatch. We derive the phase-matching conditions and characterize the nonlinear coupling analytically, and validate these predictions with particle-in-cell simulations. These results establish a new pathway toward next-generation intense terahertz sources with performance well beyond the limits of existing plasma mechanisms and conventional crystal-based approaches.

We propose a novel class of gaseous diffractive optical elements created by imprinting an entropy mode in a gas. Previous approaches to gaseous diffractive optics relied on the simultaneous excitation of a standing acoustic wave and an entropy mode to produce one-dimensional periodic structures. However, the presence of acoustic oscillations in the gas imposes stringent constraints on some operational parameters of these optical elements, such as their lifetime and diffraction angle. In this work, we introduce a new approach that eliminates the acoustic mode, relying solely on the entropy mode. This enables control of the lifetime and temporal profile of gaseous optical elements, and also allows the creation of arbitrary structures with greater contrast, including non-periodic patterns such as chirped gratings or lenses. This approach should allow operation over a wider parameter space, including larger diffraction angles and compatibility with laser pulse durations ranging from femtoseconds to microseconds.

In high-intensity laser–plasma interactions, particles can lose a substantial fraction of their energy by emitting radiation. Using particle-in-cell simulations, we study the impact of radiation reaction on the dynamics of an underdense plasma target struck by counterpropagating circularly polarized laser pulses. By varying the relative wavelengths and intensities of the pulses, we find a range of parameters where radiation reaction can detrap electrons from the interference beat wave. The resulting charge separation field and the dominant direction of ion expulsion are thus reversed by radiative effects. Based on the electron dynamics during the interaction, we estimate the bounds on the parameter regime where the reversal occurs. The bounds take the form of three simple inequalities that depend only on the wavelengths, normalized vector potentials, and pulse duration ratios of the two lasers, as well as the product of the pulse duration with a dimensionless radiation reaction parameter. Our estimates, which predict whether radiation reaction will change the final ion direction for a given set of laser parameters, broadly agree with the simulated results. Finally, we outline an experimental procedure by which the reversal could be used to observe the transition to radiation-dominated dynamics.

The capabilities of the world's highest energy and peak-power pulsed lasers are limited by optical damage, and further advances in high-intensity laser science will require optics that are substantially more robust than existing components. We describe here the experimental demonstration of off-axis diffractive gaseous lenses capable of withstanding extreme laser fluence and immune to cumulative damage. We used less than 8 mJ of energy from interfering ultraviolet laser pulses to holographically write millimeter-scale diffractive gas lenses into an ozone, oxygen, and carbon-dioxide gas mixture. These lenses allowed us to focus, defocus, and collimate 532-nm nanosecond laser pulses with up to 210 mJ of energy at efficiencies above 50% and fluences up to 35 J/cm$^2$. We also show that the gas lenses have sufficient bandwidth to efficiently diffract 35-fs 800-nm pulses and that beam pointing, divergence, and diffraction efficiency are stable while operating at 10 Hz. These diffractive lenses are simple holograms, and the principles demonstrated here could be extended to other types of optics, suggesting that gaseous optics may enable arbitrary, damage-resistant manipulation of intense light for next-generation ultra-high-power lasers.

In high-intensity laser-plasma interactions, particles can lose a substantial fraction of their energy by emitting radiation. Using particle-in-cell simulations, we study the impact of radiation reaction on the dynamics of an underdense plasma target struck by counterpropagating circularly polarized laser pulses. By varying the relative wavelengths and intensities of the pulses, we find a range of parameters where radiation reaction can detrap electrons from the interference beat wave. The resulting charge separation field and the dominant direction of ion expulsion are thus reversed by radiative effects. Based on the electron dynamics during the interaction, we estimate the bounds on the parameter regime where the reversal occurs. The bounds take the form of three simple inequalities which depend only on the wavelength, normalized vector potential, and pulse duration ratios of the two lasers as well as the product of the pulse duration with a dimensionless radiation reaction parameter. Our estimates, which predict whether radiation reaction will change the final ion direction for a given set of laser parameters, broadly agree with the simulated results. Finally, we outline an experimental procedure by which the reversal could be used to observe the transition to radiation-dominated dynamics.

The survivability of final optics is expected to be a major challenge for all future inertial fusion energy concepts. Due to their higher damage threshold, gaseous optics have been identified as a promising solution to this problem. Gaseous optics can be created through the photoabsorption of spatially modulated UV light, which induces various chemical processes that heat the gas. This heating leads to a pressure perturbation, which in turn launches a density perturbation that can imprint a refractive index modulation such as a grating. In this article, we introduce a parallel C/C++ code to simulate gaseous optics. PIAFS2D is a high-order conservative finite-difference code to solve the compressible Navier–Stokes equations along with the photochemical heating sources on Cartesian grids. The simulations are validated by the linear theory derived in a previous paper [Michel et al., Phys. Rev. Appl. 22, 024014 (2024)]. For larger perturbations, the behavior of the system—particularly the evolution of the generated acoustic wave—demonstrates strong nonlinearity. PIAFS2D allows the study of nonlinear behaviors and can be used for the design of high-efficiency gaseous optics elements in realistic experimental conditions.

Space-time structured laser pulses feature an intensity peak that can travel at an arbitrary velocity while maintaining a near-constant profile. These pulses can propagate in uniform media, where their frequencies are correlated with continuous transverse wave vectors, or in structured media, such as a waveguide, where their frequencies are correlated with discrete mode numbers. Here, we demonstrate the formation and propagation of arbitrary-velocity laser pulses in a plasma waveguide where the intensity can be orders of magnitude higher than in a solid-state waveguide. The flexibility to control the velocity of the peak intensity in a plasma waveguide enables new configurations for plasma-based sources of radiation and energetic particles, including THz generation, laser wakefield acceleration, and direct laser acceleration.

Harmonic generation in underdense spatially homogeneous plasma is generally expected to be inefficient: in an unmagnetized uniform plasma the fundamental and its harmonics cannot be phase-matched, resulting in third-harmonic generation efficiencies of no more than $10^{-5}$. Here, we describe how a strong uniform magnetic field allows phase-matched harmonic generation in constant-density plasma. We derive phase-matching relations for Type I and Type II second-, third-, and fourth-harmonic generation, and confirm these relations with particle-in-cell simulations. These simulations show that for weakly relativistic femtosecond pulses the efficiencies of second-, third-, and fourth-harmonic generation can reach at least 70%, 14%, and 2% respectively. Additionally, if driven by a two-color beam, third harmonic generation is found to be over 70% efficient and fourth harmonic generation is found to be over 30% efficient.

Space-time structured laser pulses feature an intensity peak that can travel at an arbitrary velocity while maintaining a near-constant profile. These pulses can propagate in uniform media, where their frequencies are correlated with continuous transverse wavevectors, or in structured media, such as a waveguide, where their frequencies are correlated with discrete mode numbers. Here, we demonstrate the formation and propagation of arbitrary-velocity laser pulses in a plasma waveguide where the intensity can be orders of magnitude higher than in a solid-state waveguide. The flexibility to control the velocity of the peak intensity in a plasma waveguide enables new configurations for plasma-based sources of radiation and energetic particles, including THz generation, laser wakefield acceleration, and direct laser acceleration.

This Letter presents a spatial filter based on saturated absorption in gas as an alternative to the solid pinhole in a lens-pinhole-lens filtering system. We develop an analytic model that describes this process and demonstrate spatial filtering with simulations and experiments. We show that an ultraviolet laser pulse focused through ozone will have its spatial profile cleaned if its peak fluence rises above the ozone saturation fluence. Specifically, we demonstrate that a 5 ns 266 nm beam with 4.2 mJ of the initial energy can be effectively cleaned by focusing through a 1.4% ozone-oxygen mixture, with about 76% of the main beam energy transmitted and 89% of the sidelobe energy absorbed. This process can be adapted to other gases and laser wavelengths, providing alignment-insensitive and damage-resistant pinholes for high-repetition-rate high-energy lasers.

Plasmas with an anisotropic relativistic electron momentum distribution exhibit birefringent indices of refraction. We investigate the effects of a pump-induced relativistic momentum distribution on the polarization state of a simultaneous probe.

We present an experimental demonstration of chromatic angular dispersion of a probe beam incident on a transmission plasma grating. The results show a path towards a plasma compression grating for high intensity laser pulses.

We characterize the performance and properties of photochemically-induced gas gratings under various experimental conditions. The results support a theoretical model and suggest optimal parameters for the efficient deployment of these gas optics in real applications.

The extreme electric fields created in high-intensity laser-plasma interactions could generate energetic ions far more compactly than traditional accelerators. Despite this promise, laser-plasma accelerator experiments have been limited to maximum ion energies of ∼100 MeV/nucleon. The central challenge is the low charge-to-mass ratio of ions, which has precluded one of the most successful approaches used for electrons: laser wakefield acceleration. Here, we show that a laser pulse with a focal spot that moves transverse to the laser propagation direction enables wakefield acceleration of ions to GeV energies in underdense plasma. Three-dimensional particle-in-cell simulations demonstrate that this relativistic-intensity "transverse flying focus" can trap ions in a comoving electrostatic pocket, producing a monoenergetic collimated ion beam. With a peak intensity of 10^{20} W/cm^{2} and an acceleration distance of 0.44 cm, we observe a proton beam with 23.1 pC charge, 1.6 GeV peak energy, and 3.7% relative energy spread. This approach allows for compact high-repetition-rate production of high-energy ions, highlighting the capability of more generalized spatiotemporal pulse shaping to address open problems in plasma physics.

This letter presents a spatial filter based on saturated absorption in gas as a replacement for the solid pinhole in a lens-pinhole-lens filtering system. We show that an ultraviolet laser pulse focused through ozone will have its spatial profile cleaned if its peak fluence rises above the ozone saturation fluence. Specifically, we demonstrate that a 5 ns 266 nm beam with 4.2 mJ of initial energy can be effectively cleaned by focusing through a 1.4% ozone-oxygen mixture, with about 76% of the main beam energy transmitted and 89% of the side lobe energy absorbed. This process can be adapted to other gases and laser wavelengths, providing alignment-insensitive and damage-resistant pinholes for high-repetition-rate high-energy lasers.

High-intensity lasers require suppression of prepulses and other nonideal temporal structure to avoid target disruption before the arrival of the main pulse. To address this, we demonstrate that ionization gratings act as a controllable optical switch for high-power light with a temporal contrast improvement of at least 3×10^{5} and a switching time less than 500 fs. We also show that a grating system can run for hours at 10 Hz without degradation. The contrast improvement from an ionization grating compares favorably to that achievable with plasma mirrors.

Acousto-optics consists of launching acoustic waves in a medium (usually a crystal) in order to modulate its refractive index and create a tunable optical grating. In this article, we present the theoretical basis of an alternative scheme to generate acousto-optics in a gas, where the acoustic waves are initiated by the localized absorption (and thus gas heating) of spatially modulated UV light, as was demonstrated by Michine and Yoneda [Commun. Phys. 3, 24 (2020)]. We identify the chemical reactions initiated by the absorption of UV light via the photodissociation of ozone molecules present in the gas, and calculate the resulting temperature increase in the gas as a function of space and time. Solving the Euler fluid equations shows that the modulated, isochoric heating initiates a mixed acoustic-entropy wave in the gas, whose high-amplitude density (and thus refractive index) modulation can be used to manipulate a high-power laser. We calculate that diffraction efficiencies near 100% can be obtained using only a few millimeters of gas containing a few percent ozone fraction at room temperature, with UV fluences of less than 100 ${\mathrm{mJ}/\mathrm{cm}}^{2}$---consistent with the experimental measurements. Our analysis suggests possible ways to optimize the diffraction efficiency by changing the buffer gas composition. Gases have optics damage thresholds 2--3 orders of magnitude beyond those of solids; these optical elements should therefore be able to manipulate kilojoule-class lasers.

The extreme electric fields created in high-intensity laser-plasma interactions could generate energetic ions far more compactly than traditional accelerators. Despite this promise, laser-plasma accelerators have remained stagnant at maximum ion energies of 100 MeV/nucleon for the last twenty years. The central challenge is the low charge-to-mass ratio of ions, which has precluded one of the most successful approaches used for electrons: laser wakefield acceleration. Here we show that a laser pulse with a focal spot that moves transverse to the laser propagation direction enables wakefield acceleration of ions to GeV energies in underdense plasma. Three-dimensional particle-in-cell simulations demonstrate that this relativistic-intensity "transverse flying focus" can trap ions in a comoving electrostatic pocket, producing a monoenergetic collimated ion beam. With a peak intensity of $10^{20}\,$W/cm$^2$ and an acceleration distance of $0.44\,$cm, we observe a proton beam with $23.1\,$pC charge, $1.6\,$GeV peak energy, and $3.7\,$% relative energy spread. This approach allows for compact high-repetition-rate production of high-energy ions, highlighting the capability of more generalized spatio-temporal pulse shaping to address open problems in plasma physics.

High-intensity lasers require suppression of prepulses and other non-ideal temporal structure to avoid target disruption before the arrival of the main pulse. To address this, we demonstrate that ionization gratings act as a controllable optical switch for high-power light with a temporal contrast improvement of at least $3\times10^5$ and a switching time less than 500 fs. We also show that a grating system can run for hours at 10 Hz without degradation. The contrast improvement from an ionization grating compares favorably to that achievable with plasma mirrors.

Acousto-optics consists of launching acoustic waves in a medium (usually a crystal) in order to modulate its refractive index and create a tunable optical grating. In this article, we present the theoretical basis of a new scheme to generate acousto-optics in a gas, where the acoustic waves are initiated by the localized absorption (and thus gas heating) of spatially-modulated UV light, as was demonstrated in Y. Michine and H. Yoneda, Commun. Phys. 3, 24 (2020). We identify the chemical reactions initiated by the absorption of UV light via the photodissociation of ozone molecules present in the gas, and calculate the resulting temperature increase in the gas as a function of space and time. Solving the Euler fluid equations shows that the modulated, isochoric heating initiates a mixed acoustic/entropy wave in the gas, whose high-amplitude density (and thus refractive index) modulation can be used to manipulate a high-power laser. We calculate that diffraction efficiencies near 100% can be obtained using only a few millimeters of gas containing a few percent ozone fraction at room temperature, with UV fluences of less than 100 mJ/cm2, consistent with the experimental measurements. Our analysis suggests possible ways to optimize the diffraction efficiency by changing the buffer gas composition. Gases have optics damage thresholds two to three orders of magnitude beyond those of solids; these optical elements should therefore be able to manipulate kJ-class lasers.

Plasma volume diffraction optics enable the holographic manipulation of high-intensity beams of light. By varying plasma density with micron precision, high-damage-threshold gratings, lenses, and holograms can be created for compact ultra-high-power laser systems.

We demonstrate high-efficiency diffraction of intense λ=3.9 um laser pulses from plasma gratings generated by avalanche ionization of atomic clusters driven by a pair of intersecting 1.064 nm pulses.

A plasma grating is generated by temporally crossing and interfering two femtosecond beams to create modulated ionization. We achieve maximum Bragg diffraction efficiency of 35% by tuning grating transverse size, length, and incident beam configurations.

We report an anomalous opacity effect in relativistic near-critical density laser-plasma interactions due to a drifting electron density spike. Orders-of-magnitude higher reflectivity than the relativistic transparency expectation is demonstrated by particle-in-cell simulations.

We experimentally demonstrate enhanced third and fourth harmonic energy using a phase-controlled two-color beam in a multi-pass plasma mirror set-up. Maximum enhancement of 1.6 × was measured for on-target intensity of 1 × 10 19 Wcm − 2 .

We propose a novel pinhole design with much higher damage thresholds than traditional pinholes by leveraging the saturated absorption of ultraviolet light in ozone. Compact and robust soft-edge spatial filtering was demonstrated experimentally.

Spectral broadening of 25-fs multi-terawatt laser pulses has been achieved in low-pressure atmospheric gases without significant loss of spatial coherence in the laser beam by femtosecond laser filamentation.

We present the analysis of the third-order harmonic generation in bulk crystals driven by a near-IR laser in the reflection geometry. We compare the energies of the third-order harmonic generated by these crystals.

We present an experimental characterization of how the diffraction efficiency of an ionization plasma grating increases with plasma density. Grating performance follows trends predicted by optical theory, suggesting a path to ultra-high-damage-threshold optics.

High-peak-power lasers are fundamental to high-field science: increased laser intensity has enabled laboratory astrophysics, relativistic plasma physics, and compact laser-based particle accelerators. However, the meter-scale optics required for multi-petawatt lasers to avoid light-induced damage make further increases in power challenging. Plasma tolerates orders-of-magnitude higher light flux than glass, but previous efforts to miniaturize lasers by constructing plasma analogs for conventional optics were limited by low efficiency and poor optical quality. We describe a new approach to plasma optics based on avalanche ionization of atomic clusters that produces plasma volume transmission gratings with dramatically increased diffraction efficiency. We measure an average efficiency of up to 36% and a single-shot efficiency of up to 60%, which is comparable to key components of high-power laser beamlines, while maintaining high spatial quality and focusability. These results suggest that plasma diffraction gratings may be a viable component of future lasers with peak power beyond 10 PW.

Sub-optical-cycle dynamics of dense electron bunches in relativistic-intensity laser–solid interactions lead to the emission of high-order harmonics and attosecond light pulses. The capacity of particle-in-cell simulations to accurately model these dynamics is essential for the prediction of emission properties because the attosecond pulse intensity depends on the electron density distribution at the time of emission and on the temporal distribution of individual electron Lorentz-factors in an emitting electron bunch. Here, we show that in one-dimensional collisionless simulations, the peak density of the emitting electron bunch increases with the increase in the spatial resolution of the simulation grid. When collisions are added to the model, the peak electron density becomes independent of the spatial resolution. Collisions are shown to increase the spread of the peaks of Lorentz-factors of emitting electrons in time, especially in the regimes far from optimum generation conditions, thus leading to lower intensities of attosecond pulses as compared to those obtained in collisionless simulations.