Author Contributions
Conceptualization, T.K. and F.G.; methodology, T.K. and F.G.; software, T.K. and R.B.; validation, T.K., F.G. and T.S.; formal analysis, T.K.; investigation, T.K., R.B. and T.S.; resources, T.K.; data curation, T.K.; writing—original draft preparation, T.K.; writing—review and editing, T.K. and F.G.; visualization, T.K.; supervision, F.G.; project administration, F.G. and T.S. All authors have read and agreed to the published version of the manuscript.
Figure 1.
(a) Experimental setup: the figure shows the camera (red arrow) on the left and the assembled aperture system attached (blue arrow). The green arrow shows the LED mount with an example LED. (b) Analogous visualization of the setup in Geant4.
Figure 1.
(a) Experimental setup: the figure shows the camera (red arrow) on the left and the assembled aperture system attached (blue arrow). The green arrow shows the LED mount with an example LED. (b) Analogous visualization of the setup in Geant4.
Figure 2.
A flowchart to better understand the experimental setup and the path of the light. The LED is placed on the left side, the light is reduced to a 1 mm diameter beam in the tube and aperture system. The signal behind the inserted material is then detected by the CMOS sensor which records images that can later be used for detailed data analysis.
Figure 2.
A flowchart to better understand the experimental setup and the path of the light. The LED is placed on the left side, the light is reduced to a 1 mm diameter beam in the tube and aperture system. The signal behind the inserted material is then detected by the CMOS sensor which records images that can later be used for detailed data analysis.
Figure 3.
(a) Pictures of a custom-made pinhole with integrated thread and spacer ring as well as an aperture of 1 mm, viewed from the front; and (b) custom-made pinhole with integrated thread and spacer ring as well as an aperture of 1 mm; viewed from the back.
Figure 3.
(a) Pictures of a custom-made pinhole with integrated thread and spacer ring as well as an aperture of 1 mm, viewed from the front; and (b) custom-made pinhole with integrated thread and spacer ring as well as an aperture of 1 mm; viewed from the back.
Figure 4.
Geant4 visualization of a run with 1000 photons. It shows the photon distribution of the LED on the right side and the absorption of the aperture system, resulting in a pin beam on the left side.
Figure 4.
Geant4 visualization of a run with 1000 photons. It shows the photon distribution of the LED on the right side and the absorption of the aperture system, resulting in a pin beam on the left side.
Figure 5.
(a) This figure shows a monochrome image of the 2 mm phantom material platelet illuminated with the pin-beam, taken with the Basler acA1920-40gm camera; (b) this figure shows analogues to (a) the monochrome image of the 3 mm phantom material platelet illuminated with the pin-beam, taken with the Basler acA1920-40gm camera. The image shows an overall wider distribution of the initial pin beam, compared with (a).
Figure 5.
(a) This figure shows a monochrome image of the 2 mm phantom material platelet illuminated with the pin-beam, taken with the Basler acA1920-40gm camera; (b) this figure shows analogues to (a) the monochrome image of the 3 mm phantom material platelet illuminated with the pin-beam, taken with the Basler acA1920-40gm camera. The image shows an overall wider distribution of the initial pin beam, compared with (a).
Figure 6.
Comparison plot of two experimental setups: the
top left shows the 2 mm platelet phantom material (analogous to
Figure 5a in a converted colormap); the
bottom left shows the 3 mm platelet phantom material (analogous to
Figure 5b). The radial and line profiles are plotted, and the FWHM and slope are calculated. The radial profile exhibits a strong correlation, while the line profile shows differences, as expected when comparing the same material but with different thicknesses. The difference in the line profile and colorbar scale is on the one hand due to the normalization of the two line profiles in order to be able to map them to each other and on the other hand due to the fact that the line profile calculates the average, whereas the colorbar represents the absolute maximum.
Figure 6.
Comparison plot of two experimental setups: the
top left shows the 2 mm platelet phantom material (analogous to
Figure 5a in a converted colormap); the
bottom left shows the 3 mm platelet phantom material (analogous to
Figure 5b). The radial and line profiles are plotted, and the FWHM and slope are calculated. The radial profile exhibits a strong correlation, while the line profile shows differences, as expected when comparing the same material but with different thicknesses. The difference in the line profile and colorbar scale is on the one hand due to the normalization of the two line profiles in order to be able to map them to each other and on the other hand due to the fact that the line profile calculates the average, whereas the colorbar represents the absolute maximum.
Figure 7.
Comparison plot of two experimental setups; the
top left shows a 2 mm PMMA platelet; the
bottom left shows a 5 mm PMMA platelet. The radial and line profiles are plotted, and the FWHM and slope are calculated. Analogues to
Figure 6, the radial profile exhibits a strong correlation, while the line profile shows differences, as expected when comparing the same material but with different thicknesses.
Figure 7.
Comparison plot of two experimental setups; the
top left shows a 2 mm PMMA platelet; the
bottom left shows a 5 mm PMMA platelet. The radial and line profiles are plotted, and the FWHM and slope are calculated. Analogues to
Figure 6, the radial profile exhibits a strong correlation, while the line profile shows differences, as expected when comparing the same material but with different thicknesses.
Figure 8.
Comparison plot of two experimental setup: the top left shows a 2 mm platelet PMMA material, the bottom left shows a 2 mm platelet Phantom material. The radial and line profiles are plotted, and the FWHM and slope are calculated. As anticipated, there is no match between the radial and line profiles since we are considering different materials.
Figure 8.
Comparison plot of two experimental setup: the top left shows a 2 mm platelet PMMA material, the bottom left shows a 2 mm platelet Phantom material. The radial and line profiles are plotted, and the FWHM and slope are calculated. As anticipated, there is no match between the radial and line profiles since we are considering different materials.
Figure 9.
Comparison plot of two experimental setup: the top one shows a 2 mm PMMA platelet mixed with a 2 mm phantom material platelet; the bottom left shows the same composition but arranged in the opposite direction. The radial and line profiles are plotted, and the FWHM and slope are calculated. The change in material arrangement exhibits a behavior similar to comparing different thicknesses of the same material. The radial profile demonstrates a good visual similarity, while the line profile reveals more noticeable differences. This pattern is also evident in the simulations (Figures 22 and 23).
Figure 9.
Comparison plot of two experimental setup: the top one shows a 2 mm PMMA platelet mixed with a 2 mm phantom material platelet; the bottom left shows the same composition but arranged in the opposite direction. The radial and line profiles are plotted, and the FWHM and slope are calculated. The change in material arrangement exhibits a behavior similar to comparing different thicknesses of the same material. The radial profile demonstrates a good visual similarity, while the line profile reveals more noticeable differences. This pattern is also evident in the simulations (Figures 22 and 23).
Figure 10.
Comparison between experiment and simulation without the platelet. Shown are the simulated light source on the top left and the experimental picture at the bottom left.
Figure 10.
Comparison between experiment and simulation without the platelet. Shown are the simulated light source on the top left and the experimental picture at the bottom left.
Figure 11.
Comparison of simulation and experiment with default parameters for the 2 mm platelet showing poor agreement both visually and in the calculated parameters FWHM, mean error and slope. The simulated signal is almost twice as wide and the slope of the radial profile is less than half of the value of the simulated signal.
Figure 11.
Comparison of simulation and experiment with default parameters for the 2 mm platelet showing poor agreement both visually and in the calculated parameters FWHM, mean error and slope. The simulated signal is almost twice as wide and the slope of the radial profile is less than half of the value of the simulated signal.
Figure 12.
Comparison of simulation and experiment with default parameters for the 3 mm platelet showing a similar poor agreement analogous to
Figure 8.
Figure 12.
Comparison of simulation and experiment with default parameters for the 3 mm platelet showing a similar poor agreement analogous to
Figure 8.
Figure 13.
Comparison of two simulations with default factor g = 0.62 on the top left and factor g = 0.1 on the bottom left. The FWHM, slope and overall visual appearance of both simulations are similar because the average number of optical processes reached a stage where isotropic scattering is to be expected.
Figure 13.
Comparison of two simulations with default factor g = 0.62 on the top left and factor g = 0.1 on the bottom left. The FWHM, slope and overall visual appearance of both simulations are similar because the average number of optical processes reached a stage where isotropic scattering is to be expected.
Figure 14.
Comparison of two simulations with default factor g = 0.62 on the top left and factor g = 0.9 on the bottom left. The FWHM, slope and overall visual appearance of both simulations differ greatly because the average number of optical processes is significantly lower at g = 0.9 and the photons are pushed in forward direction. The final fitted results are shown from Figure 21 onwards.
Figure 14.
Comparison of two simulations with default factor g = 0.62 on the top left and factor g = 0.9 on the bottom left. The FWHM, slope and overall visual appearance of both simulations differ greatly because the average number of optical processes is significantly lower at g = 0.9 and the photons are pushed in forward direction. The final fitted results are shown from Figure 21 onwards.
Figure 15.
Polar plot of the angular distribution inside the platelet. As displayed, smaller values result in a wider range in angular distribution, making it completely isotropic after a few scattering processes.
Figure 15.
Polar plot of the angular distribution inside the platelet. As displayed, smaller values result in a wider range in angular distribution, making it completely isotropic after a few scattering processes.
Figure 16.
Distribution of the number of processes occurring at different factor g. The plots show a significant decrease in the number of mean processes and a distribution towards lower process frequency for g values approaching 1.
Figure 16.
Distribution of the number of processes occurring at different factor g. The plots show a significant decrease in the number of mean processes and a distribution towards lower process frequency for g values approaching 1.
Figure 17.
Distribution of the number of processes occurring at different MFP. Analogous to
Figure 16, we see a decreased number of mean processes at longer MFP.
Figure 17.
Distribution of the number of processes occurring at different MFP. Analogous to
Figure 16, we see a decreased number of mean processes at longer MFP.
Figure 18.
Plot of the FWHM versus The dashed lines show the FWHM of the line profiles and the continuous lines the FWHM of the radial profiles, while the experimentally obtained data are marked in black as a target value. The data marked in red (factor g = 0.9) are the only ones that can simultaneously represent both target FWHM values.
Figure 18.
Plot of the FWHM versus The dashed lines show the FWHM of the line profiles and the continuous lines the FWHM of the radial profiles, while the experimentally obtained data are marked in black as a target value. The data marked in red (factor g = 0.9) are the only ones that can simultaneously represent both target FWHM values.
Figure 19.
Plot of the mean error versus . The dashed line represents the target value of 1, indicating perfect agreement between the simulation and the experiment. Only the simulation with a g factor of 0.9 and a value of 2.5 approaches this value.
Figure 19.
Plot of the mean error versus . The dashed line represents the target value of 1, indicating perfect agreement between the simulation and the experiment. Only the simulation with a g factor of 0.9 and a value of 2.5 approaches this value.
Figure 20.
Comparison plot of the experimental setup with the fitted parameter simulation. The top left shows the simulation of the 2 mm phantom material platelet with fitted parameters and the bottom left shows the experimental setup with 2 mm phantom material platelet. The radial and line profiles are plotted, and the FWHM and slope are calculated. The parameters obtained through fitting, keeping the MFP unchanged but setting the factor g to 0.9, exhibit remarkably strong agreement in all aspects.
Figure 20.
Comparison plot of the experimental setup with the fitted parameter simulation. The top left shows the simulation of the 2 mm phantom material platelet with fitted parameters and the bottom left shows the experimental setup with 2 mm phantom material platelet. The radial and line profiles are plotted, and the FWHM and slope are calculated. The parameters obtained through fitting, keeping the MFP unchanged but setting the factor g to 0.9, exhibit remarkably strong agreement in all aspects.
Figure 21.
Comparison plot of the experimental setup with the fitted parameter simulation. The
top left shows the simulation of the 3 mm phantom material platelet with fitted parameters and the
bottom left shows the experimental setup with 3 mm phantom material platelet. Analogous to
Figure 20 the agreement is very good also at a thickness of 3 mm with an unchanged MFP and the factor g = 0.9.
Figure 21.
Comparison plot of the experimental setup with the fitted parameter simulation. The
top left shows the simulation of the 3 mm phantom material platelet with fitted parameters and the
bottom left shows the experimental setup with 3 mm phantom material platelet. Analogous to
Figure 20 the agreement is very good also at a thickness of 3 mm with an unchanged MFP and the factor g = 0.9.
Figure 22.
Mixed sequence of phantom and PMMA material, both 2 mm thick.
Figure 22.
Mixed sequence of phantom and PMMA material, both 2 mm thick.
Figure 23.
Mixed sequence of phantom and PMMA material both 2 mm, different sequence; analogous to
Figure 9, the plots demonstrate differences in the line profile but a strong visual correlation in the radial profile. This observation is also evident in the simulations.
Figure 23.
Mixed sequence of phantom and PMMA material both 2 mm, different sequence; analogous to
Figure 9, the plots demonstrate differences in the line profile but a strong visual correlation in the radial profile. This observation is also evident in the simulations.
Figure 24.
TOF spectroscopy by MediLumine at 590 nm, taken from [
32].
Figure 24.
TOF spectroscopy by MediLumine at 590 nm, taken from [
32].
Figure 25.
Comparison plot of the photon-TOF with different optical parameters with a 2 mm thickness of the phantom material. The plot on the left side is gathered with a factor g = 0.7 and MFP = 0.017, on the right side with a factor g = 0.5 and MFP = 0.0182. The TOF is identical in the sub-nanosecond range and the deviation in the total number of photons is in the lower single-digit percentage range. A second peak can be seen in the range of 1 ns, caused by photons scattered first back and then forward again, which then cover twice the path distance.
Figure 25.
Comparison plot of the photon-TOF with different optical parameters with a 2 mm thickness of the phantom material. The plot on the left side is gathered with a factor g = 0.7 and MFP = 0.017, on the right side with a factor g = 0.5 and MFP = 0.0182. The TOF is identical in the sub-nanosecond range and the deviation in the total number of photons is in the lower single-digit percentage range. A second peak can be seen in the range of 1 ns, caused by photons scattered first back and then forward again, which then cover twice the path distance.
Figure 26.
Comparison plot of the photon-TOF with different optical parameters with a 2 mm thickness of the phantom material. The plot on the left side is gathered with optical parameters factor g = 0.1 and MFP = 0.033, and on the right side with factor g = 0.9 and MFP = 0.00571. The TOF is identical in the sub-nanosecond range and the deviation in the total number of photons is in the lower single-digit percentage range. A second peak can be seen in the range of 1 ns, caused by photons scattered first back and then forward again, which then cover twice the path distance.
Figure 26.
Comparison plot of the photon-TOF with different optical parameters with a 2 mm thickness of the phantom material. The plot on the left side is gathered with optical parameters factor g = 0.1 and MFP = 0.033, and on the right side with factor g = 0.9 and MFP = 0.00571. The TOF is identical in the sub-nanosecond range and the deviation in the total number of photons is in the lower single-digit percentage range. A second peak can be seen in the range of 1 ns, caused by photons scattered first back and then forward again, which then cover twice the path distance.
Figure 27.
Comparison plot of the photon-TOF with different optical parameters with 10 mm thickness. The plot on the left side is gathered with optical parameters factor g = 0.1 and MFP = 0.04, and on the right side with factor g = 0.9 and MFP = 0.004. The TOF deviates in the sub-nanosecond range and the total number of photons in single-digit percentage range. The second peak disappeared due to the greater thickness of the material and the associated significantly more frequent scattering processes that completely diminished the signal.
Figure 27.
Comparison plot of the photon-TOF with different optical parameters with 10 mm thickness. The plot on the left side is gathered with optical parameters factor g = 0.1 and MFP = 0.04, and on the right side with factor g = 0.9 and MFP = 0.004. The TOF deviates in the sub-nanosecond range and the total number of photons in single-digit percentage range. The second peak disappeared due to the greater thickness of the material and the associated significantly more frequent scattering processes that completely diminished the signal.
Table 1.
Parameters used and the equivalent implementation in Geant4.
Table 1.
Parameters used and the equivalent implementation in Geant4.
Parameter | Default Value at 590 nm | Geant4 Equivalent | Geant4 Parameter |
---|
| 25.82 | MIEHG | 0.03873 cm 2 |
| 0.131 | ABSLENGTH | 7.63 cm 2 |
| 0.62 | MIEHG_FORWARD | 0.62 |
| 1.511 | RINDEX | 1.511 |
| nan | MIEHG_ FORWARD_RATIO | 1 |
| 9.86 | nan 1 | nan 1 |