Laser-driven solid density plasmas – generated in the interaction of a focused high-power laser pulse with the surface of a
High Power Laser Science and Engineering, Volume. 11, Issue 6, 06000e68(2023)
OCTOPOD: single-bunch tomography for angular-spectral characterization of laser-driven protons
Laser–plasma accelerated (LPA) proton bunches are now applied for research fields ranging from ultra-high-dose-rate radiobiology to material science. Yet, the capabilities to characterize the spectrally and angularly broad LPA bunches lag behind the rapidly evolving applications. The OCTOPOD translates the angularly resolved spectral characterization of LPA proton bunches into the spatially resolved detection of the volumetric dose distribution deposited in a liquid scintillator. Up to 24 multi-pinhole arrays record projections of the scintillation light distribution and allow for tomographic reconstruction of the volumetric dose deposition pattern, from which proton spectra may be retrieved. Applying the OCTOPOD at a cyclotron, we show the reliable retrieval of various spatial dose deposition patterns and detector sensitivity over a broad dose range. Moreover, the OCTOPOD was installed at an LPA proton source, providing real-time data on proton acceleration performance and attesting the system optimal performance in the harsh laser–plasma environment.
1 Introduction
Laser-driven solid density plasmas – generated in the interaction of a focused high-power laser pulse with the surface of a
While applications in radiobiology[3] and material characterization are rapidly developing[4], the complete characterization of the primary proton bunches as emitted from the laser–plasma accelerated (LPA) source still poses a major instrumental challenge. The proton emission occurs from an approximately
The instrumental limits of current techniques regarding angular and spectral resolution as well as real-time operation are improved with the OCTOPOD detector, short for Optical Cone beam TOmograph for Proton Online Dosimetry. In the OCTOPOD detector, a proton bunch is absorbed in a cylindrical liquid scintillator volume of
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In this paper, we present the detector setup and its characterization at a cyclotron proton source. Finally, the OCTOPOD is implemented at the Draco PW[30,31] LPA proton source at Helmholtz-Zentrum Dresden–Rossendorf (HZDR) and provides for the first time real-time data of the complete accelerated proton bunch.
2 Detector design and signal reconstruction algorithms
2.1 Detector setup
The central detection element of the OCTOPOD (Figure 1) is a volume of liquid scintillator (Saint-Gobain, BC-517H, 425 nm,
Figure 1.The design of the OCTOPOD (Optical Cone beam TOmograph for Proton Online Dosimetry) detector. (a) 3D view of the octagonally shaped OCTOPOD detector with an outer diameter of . (b) The schematic frontal cut-plane of the OCTOPOD with the diameter reconstruction volume filled with liquid scintillator (in blue), the octagonal polymethylmethacrylate (PMMA) housing (in green) enclosing the reconstruction volume and connecting to the three pinholes and the sensor plane at the distance of defined by a PMMA cuboid. The setup is repeated for each side of the octagonal PMMA housing to obtain 24 cone beam (CB) projections of the reconstruction volume. (c) The schematic side cut-plane with the long reconstruction volume.
The scintillator volume is housed in an octagonal polymethylmethacrylate (PMMA) block with a 5 cm wide base and the length of 7 cm, and the proton bunch enters through a 1 mm thick PMMA plate (Figures 1(b) and 1(c)). The PMMA block guides light emitted in the scintillator volume to the optical sensors. The nearly identical refractive indices of the scintillator material and PMMA
The imaging system uses a pinhole camera concept to generate cone beam (CB) projections of the reconstruction volume (Figures 1(b) and 1(c)). The CB imaging is realized using pinholes that restrict the light transmission of the side surfaces of the PMMA octagon to circular
The sensors are attached to the octagon surface via 1.5 cm thick cuboid PMMA spacers fitting the size of the sensor sensitive area and defining the image plane distance from the pinholes (Figures 1(b) and 1(c)). The boundary connections among the PMMA octagon, pinholes, PMMA spacer and sensor are optimized for light transport with the help of silicone grease (Saint-Gobain, BC-630,
2.2 Detector response matrix
The tomographic signal reconstruction from the measured CB projections is performed via an iterative maximum likelihood expectation maximization (MLEM) algorithm. The MLEM algorithm iteratively compares measured and estimated CB projections to predict the most likely 3D scintillation light distribution in the reconstruction volume. An essential part of the MLEM algorithm is hence the forward projection, where the voxel signal values in the reconstruction volume are projected onto the sensor pixels to obtain a CB projection image that can be compared with the measured data. In the reverse, that is, the back-projection, the sensor pixel values are projected into the reconstruction volume voxels to obtain the 3D scintillation light signal.
Those forward and backward projections are defined by the fixed OCTOPOD setup and are generated via a ray tracing algorithm performed prior to the reconstruction. The respective algorithm calculates the relative signal contribution of each voxel in the reconstruction volume to the projected value on a certain pixel of the sensor and stores the result in a look-up table. To reduce the size of the look-up table, the sensor pixels are binned by a factor of 4 such that the pixel matrix of 512 × 1024 reduces to 128 × 256 and the pixel pitch increases from
The ray tracing algorithm samples random coordinates on the sensor pixel surfaces and the corresponding pinhole area (the geometry prohibits one pixel from seeing a signal from two different pinholes) and calculates 1000 lines defined by these two coordinates. For each voxel that is intersected by a calculated line, the length of the straight in the voxel is calculated and assigned to the voxel. If a voxel is intersected multiple times, the intersection lengths are summed up and divided by the number of intersections. Voxels that are not intersected have the value of zero. To account for the inverse-square law, each voxel value is also weighted by 1/
Back-projection for each sensor of a homogeneous image with pixel values equal to 1 into the reconstruction volume yields the relative sampling efficiency for each voxel. The relative sampling efficiency for each voxel is determined by its position within the reconstruction volume and determined by the distance to the pinholes via the inverse-square law and the effective pinhole size, as described above. The inverse of the back-projected result forms the matrix used in the MLEM algorithm to correct for the sampling efficiency (Figure 2).
Figure 2.The correction matrix for the reconstruction algorithm showing the inverse relative sampling efficiency for all voxels in the reconstruction volume. From left to right, the side cut-plane, the top cut-plane and the frontal cut-plane of the 3D distribution are shown. For the side and top view, maximum correction is required for the front and rear part of the reconstruction volume , where the distance to the pinholes is maximized and the effective pinhole size is minimized. For the frontal view taken at the center of the reconstruction volume, the detection efficiency is solely determined by the inverse-square law effect because the effective pinhole size does not change. Hence, the required signal correction increases towards the reconstruction volume center.
2.3 Multi-pinhole grids
The signal readout from the reconstruction volume with single
Figure 3.The single-pinhole measurements performed at the experimental proton beamline at University Proton Therapy Dresden (UPTD) with one sensor installed and a rotating detector for three different proton beam setups. The reconstructed 3D signals are shown as the side cut-plane –, the top cut-plane (a)–(c) and the frontal cut-plane (a)–(c). The red lines in each view mark the position of the other cut-planes with respect to the presented view. (a) Experimental setup and reconstruction of the Bragg peak (BP). (b) Experimental setup and reconstruction of the BP with a polymethylmethacrylate (PMMA) block in front of the detector. (c) Experimental setup and reconstruction of the BP with a PMMA block half-blocking the proton beam in front of the detector. Note that here the maximum of the colorbar of the reconstruction was adjusted to the maximum signal in the BP since scattered protons directly detected by the upper sensor positions lead to an artefact in the reconstruction visible in the upper right corner of the side cut-plane.
3 OCTOPOD characterization at a proton cyclotron
3.1 Experimental setup
First measurements with the OCTOPOD were performed at University Proton Therapy Dresden (UPTD; Dresden, Germany), which operates an isochronous cyclotron (Cyclone 230, Proteus Plus clinical facility, IBA) with an experimental hall equipped with a horizontal fixed-beam proton beamline[36] (Figure 3(a)). The goal was to investigate the MLEM reconstruction algorithm, to test the detector sensitivity and to benchmark the multi-pinhole reconstruction algorithm based on experimental data. The proton beamline was operated at output energies between
The OCTOPOD was set up in two configurations. First, two out of eight possible sensors were installed, each sensor equipped with a different pinhole geometry (single pinhole
3.2 Reconstruction of the 3D signal
Exemplary reconstructed BP data recorded with the single pinhole with and without the range shifter in place as well as with the half-blocked proton beam are shown in Figure 3. The relative signal intensity is proportional to the scintillator light output. The effect of the range shifter is clearly visible and the half-blocked beam setup generates a clear signal edge in the side cut-plane. Both features show that the detector concept and signal reconstruction are viable for the purpose of resolving 3D dose distributions.
To investigate the number of iterations required to reconstruct a BP with the MLEM algorithm, the depth dose profile of the reconstructed signal is monitored for each iteration step (Figure 4). The depth profile of the signal is generated by summing up the reconstructed 3D dose signal along both lateral dimensions. The reconstructed signal converges well within 20 iteration steps, with two features being visible. Firstly, there is a signal decrease in the detector’s entrance region, which is attributed to integrated background remaining from the CB back-projections into the reconstruction volume. Secondly, comparing the MLEM algorithm performance for BPs stopping towards the edge versus in the middle of the reconstruction volume, the latter show a faster convergence. The efficiency of the construction algorithm is optimal where the projection lines through the reconstruction volume are orthogonal to the beam axis (i.e., middle of the reconstruction volume) and is reduced where the projection lines traverse the reconstruction volume at a shallow angle.
Figure 4.The iteration steps of the reconstruction algorithm shown as the laterally integrated 3D reconstruction signal plotted over the penetration depth for the Bragg peak (BP) reconstruction.
3.3 Detector sensitivity with multi-pinhole grids
To increase the sensitivity of the OCTOPOD detector, multi-pinhole grids with 3×3 pinholes and 91 pinholes as an alternative to imaging via a single pinhole were tested. Figure 5 compares all three pinhole options regarding geometry, LSF and measured/deconvoluted image. The summary shows that the entrance dose required to measure reasonable data reduces from the level of
Figure 5.The deconvolution of the measured cone beam (CB) projections compared for single-pinhole and multi-pinhole geometries for an proton Bragg peak (BP, 2 cm polymethylmethacrylate (PMMA) in front of the detector). Increasing the number of pinholes leads to a higher sensitivity but also changes the shape of the obtained projections. The original shape of the CB projections is reconstructed in a deconvolution with the line spread functions (LSFs) of the pinhole geometry using an iterative Richardson–Lucy deconvolution algorithm[35].
Data for reconstructed depth dose profiles of BPs for proton energies of
Figure 6.Comparison of the reconstruction performance for different single pinholes and multi-pinhole grids. (a) The performance comparison between the 1D depth signal profiles of Bragg peaks (BPs) measured with a single pinhole (solid lines) and a 3×3 pinhole grid (dashed lines). The data were simultaneously measured with two different sensors (one sensor with single-pinhole geometry and the other with a 3×3 pinhole grid) and a rotating detector. (b) The 1D depth signal profiles for a 91-pinhole grid, applied for all eight sensors simultaneously. The measured profiles (solid lines, corrected for LET quenching) are compared to simulated (dashed lines) depth dose profiles obtained in a lateral diameter region centered in the BP. Note that the BPs are labeled with an offset of , which needs to be introduced in the Monte Carlo (MC) simulation to benchmark the measured depth dose profiles against RCF measurements.
To further increase the sensitivity of the OCTOPOD, the reconstruction performance of the hexagonal grid with 91 pinholes is investigated, now with all eight sensors in operation to allow for single beam measurements without moving the detector setup. Reconstructed depth dose profiles for proton energies of
Figure 7.Comparison of Monte Carlo (MC) simulation results (dashed lines) with the 3D dose distribution measured with a calibrated stack of radiochromic films (RCFs, type EBT3 from Gafchromic, solid lines). The depth dose distributions shown are derived from the volumetric dose measurement by averaging over a lateral diameter region centered on the proton beam profile. The dose- and fluence-weighted depth-dependent distributions of the linear energy transfer (LET) are derived from the MC simulations and are used to correct the RCF response according to Ref. [37]. The dose in the plateau region was additionally measured with an Advanced Markus ionization chamber (AMC, type 34045, PTW). Since the calibration of the RCFs was performed in the middle of a spread-out Bragg peak, the calibration LET is closer to the LET at the BP maximum than to the lower LET at the entrance plateau. Therefore, the maximum of the LET-corrected RCF dose distribution is normalized to the maximum of the dose distribution measured with the RCF stack, leading to an agreement with the entrance dose measured with the AMC and the simulated depth dose profile.
With these beam settings and corrections applied, the reconstructed and simulated depth dose profiles show a very good overall shape agreement and in particular an excellent agreement regarding the proton range. Only minor remaining artifacts result from the reconstruction algorithm. These artifacts concern slightly broader measured than simulated BPs. Moreover, as also observed for the 3×3 pinhole grid, the reconstructed depth dose profiles exhibit a reduced entrance dose and wave-like structures in the plateau regions. The projections (not shown) furthermore feature an artifact in the middle of the reconstruction volume, caused by light reflection at the pinhole material. This issue may be circumvented by the choice of a different pinhole material.
In summary, the results show that multi-pinhole CB projection imaging only has a minor influence on the reconstruction result and is hence a viable option to increase detector sensitivity.
4 OCTOPOD operation at a laser–plasma accelerator proton source
4.1 Detector preparation for in-vacuum operation
Operating the OCTOPOD detector at an LPA proton source with the aim to provide online feedback on the acceleration performance is complex due to the vacuum environment in which the source is located. Since the OCTOPOD detector itself is not vacuum-compatible (e.g., liquid scintillator, silicone grease, 3D-printed material), a vacuum-compatible detector housing was designed, compact enough to be placed at less than 10 cm distance from the LPA proton source (Figure 8(a)). The vacuum housing ensures an air-pressured environment for the OCTOPOD. It has a cylindrical shape with
Figure 8.The setup for the OCTOPOD measurements at Draco PW. (a) Open rear side of the air-filled vacuum-compatible housing of the OCTOPOD detector. (b) Front side of the OCTOPOD housing with a thin Kapton window to enable the proton detection. The Kapton window is protected by a thin aluminum foil and the vacuum housing of the OCTOPOD detector is covered with a lead plate below a ceramic plate in laser forward direction (-projection sensor direction). (c) Sketch of the experimental setup at Draco PW.
4.2 Experimental setup at Draco PW
The OCTOPOD was tested at the ultra-short pulse titanium:sapphire laser system Draco PW at HZDR, operated in a standard setting for efficient laser-driven proton acceleration in the target normal sheath acceleration (TNSA) regime[31]. The laser pulse, containing a maximum of
The OCTOPOD vacuum housing was positioned at a distance of
4.3 Reference measurements against RCF and detector calibration
To reference the 3D dose distribution measured with the OCTOPOD detector and for calibration purposes, stacks of RCF (type EBT3 from Gafchromic, calibrated up to
For a direct comparison of 3D dose distributions measured with the OCTOPOD and an RCF stack, the dose distributions are mapped by adapting the spatial scales and accounting for the inverse-square law regarding the pixel dose. Moreover, the OCTOPOD reconstructed light distribution is transferred to dose in water by applying a density-dependent correction for the proton penetration depth and taking into account the additional stopping power for protons penetrating the OCTOPOD’s front cover (aluminum protection, Kapton window, PMMA plate). All corrections applied, the OCTOPOD features a lower proton detection energy of approximately 11 MeV. In the final step, both the RCF and OCTOPOD 3D dose distribution are resampled to a voxel size of
The resulting data are summarized in Figure 9, with Figure 9(a) showing the side, top and frontal (left to right) cut-plane of reconstructed 3D water dose distributions for the OCTOPOD (top) and RCF stack (bottom). As a note, the background signal in the top cut-plane (red rectangle) is a feature of the LPA process. It results from bremsstrahlung and electrons emitted in the laser forward direction, which are then detected in the
Figure 9.Comparison of cut-planes through the 3D water dose distribution measured with the OCTOPOD and a stack of radiochromic films (RCFs) as a reference detector. (a) Side, top and frontal cut-planes at water depth. The red box marks a reconstruction artifact, which results from directly detected bremsstrahlung/electrons by the -projection sensor. (b) Frontal cut-planes for varying water depths, as denoted in each subfigure. The red lines in each view mark the position of the other cut-planes with respect to the presented view. The signal was reconstructed with 20 iterations.
For the calibration of the OCTOPOD, the proton beam profile at
4.4 Laser energy scan
The OCTOPOD’s sensitivity to changes of the incoming proton distribution is tested by scanning the laser energy on target from
Figure 10.Influence of the laser pulse energy on the proton dose distribution. (a) Reconstructed frontal cut-planes at water depth. Note that the images show the scintillator depth. (b) Reconstructed top cut-planes. (c) Mean depth dose distribution evaluated in a circular region of interest with diameter, as marked by the black dotted circle and lines in the frontal and top cut-planes, respectively. The gray region marks where the dose sensitivity limit is estimated to be. The red lines in each view mark the position of the other cut-planes with respect to the presented view. The signal was reconstructed with 20 iterations.
The OCTOPOD’s capability to record the complete proton distribution is vital here in detecting that the proton beam profile is not only increasing in diameter with increasing laser energy on target, but also shifts towards the laser forward direction (x
4.5 Focus position scan
As a second measurement, the target position with respect to the laser pulse focus was changed for a constant laser pulse energy of
Figure 11 summarizes the OCTOPOD results for the frontal and top cut-planes from reconstructed 3D water doses. The TCC (target chamber center) here denotes that the target is positioned in the optically measured position of the laser focus and relative positions marked as positive/negative refer to target positions closer to and further away from the laser focusing optics, respectively. The top cut-planes show a clear decrease in penetration depth of the proton bunch into the detector volume with increasing distance from the TCC, in agreement with the expected decrease in proton cut-off energy with decreasing laser pulse intensity on target. As a side effect, the OCTOPOD also resolves the strong correlation between the bremsstrahlung/electron background generated in the laser forward direction (red rectangle in Figure 11) and the target position, that is, the laser pulse intensity on target.
Figure 11.Scan of the focal spot position on target showing the top and frontal cut-planes at water depth ( proton energy) of the 3D water dose distribution measured with the OCTOPOD. The blue curved line represents the focus size. The target chamber center (TCC) is at and the positive target position changes are in the direction of the focusing optics. The laser energy on target is , except for the target position (). The red lines in each view mark the position of the other cut-planes with respect to the presented view. The signal was reconstructed with 20 iterations.
Whereas these features may also be detected with alternative methods, for example, Thomson parabola/bremsstrahlung/electron spectrometers, the OCTOPOD provides the full proton beam profiles, here at a water depth of
5 Discussion and summary
To conclude, the OCTOPOD detector is a solution to the long-standing challenge in detecting the full angular-spectral distribution of single LPA proton bunches in real-time. Careful choice of the projection approach (pinhole imaging) and light guiding design makes the detector compact enough to be placed close to the laser–target interaction region. Performing systematic characterization measurements at a cyclotron proton source, we could show the OCTOPOD’s capabilities in reliably reconstructing 3D dose distributions with mm-scale spatial resolution. Operated at the LPA proton source, the OCTOPOD was shown to be sensitive to minimal changes in the laser–target interaction conditions, for example, changes in the focal spot position of
A further miniaturization of the setup and hence wider dissemination can be achieved by replacing the liquid scintillator with a plastic scintillator block and when using vacuum-compatible components throughout the detector design (e.g., silicone grease for the immersion of interfaces). In that case, the requirement for the bulky vacuum-compatible detector housing would be lifted. The housing has proven to allow for stable detector operation in the harsh plasma environment (optical and particle emission from the plasma emission, electromagnetic pulses) at a PW-class high-power laser system. However, the RadEye sensors can also be operated directly in vacuum when shielded from background radiation.
For any practical purpose, the OCTOPOD needs to be competitive with the established and hence trusted LPA proton detector systems Thomson parabola and RCF. In comparison to RCF, the OCTOPOD features a similar lower detection threshold of
For TPs, the spectral resolution and cut-off energy detectability, particularly when operated with micro-channel plate detectors, are clearly higher than for the OCTOPOD detector, but the reduced angular acceptance introduces the uncertainty of whether the highest energy protons of a bunch are detected at all.
In summary, the unique capability of the OCTOPOD detector is the single pulse real-time detection of the full angular-spectral proton distribution with a sensitivity, dynamic range and spatial resolution adapted to the needs of current proton LPA experiments. A number of application scenarios will profit from this detector type. Firstly, the capability of a full characterization of the proton bunch will provide considerably better and most importantly statistical input data for LPA proton beamlines[42] and hence further promote the development of application experiments and the according instrumentation. Moreover, the OCTOPOD can enable an automated feedback loop between laser parameters governing the complex plasma dynamics of the acceleration process and a targeted application-specific 3D angular-spectral distribution. For both LPA electrons and protons, such automated feedback loops have successfully been implemented recently[43,44]. The OCTOPOD will also open up new possibilities in investigating the spatio-temporal coupling effect in the laser pulse[45] affecting acceleration performance and angular proton emission patterns. Last but not least, a dedicated investigation of the spatial resolution limits as also affected by pinhole arrays might qualify the OCTOPOD as a viable detector for proton radiography studies[46].
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M. Reimold, S. Assenbaum, E. Beyreuther, E. Bodenstein, F.-E. Brack, C. Eisenmann, F. Englbrecht, F. Kroll, F. Lindner, U. Masood, J. Pawelke, U. Schramm, M. Schneider, M. Sobiella, M. E. P. Umlandt, M. Vescovi, K. Zeil, T. Ziegler, J. Metzkes-Ng. OCTOPOD: single-bunch tomography for angular-spectral characterization of laser-driven protons[J]. High Power Laser Science and Engineering, 2023, 11(6): 06000e68
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Received: Mar. 31, 2023
Accepted: Jun. 28, 2023
Published Online: Oct. 18, 2023
The Author Email: J. Metzkes-Ng (j.metzkes-ng@hzdr.de)