Alwin Kienle’s research while affiliated with Ulm University and other places

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Publications (315)


Comparison of fitting errors using Henyey Greenstein (HG) and cubic spline phase function model. (A) Fitted parameter error as function of optical depth for HG phase function (left) and cubic spline phase function (right). (B) Comparison of fitted goniometric signal with forward simulation in a low and high scattering case. (C) Comparison of fitted phase functions in both cases with employed model in forward simulation. (D) Example of parameter convergence for $\mu _a$ and $\mu _s$ across three random sets of initial conditions for the fit, shown for the spline phase function in panel B.
Comparison of convergence between geodesic acceleration and standard algorithm. The panels illustrate the number of iterations required for each respective algorithm to converge, based on either a specific optimization step (left) or the corresponding simulation time (right). The lower panels present results from a fitting routine conducted under non-ideal conditions.
Goniometric measurements and Monte Carlo fits using the cubic spline model for three wavelengths. The angle of the light incident onto the sample was 63°. The angles are relative to the sample normal. For comparison, the fit for the 500 nm measurement using the RMC phase function model is also shown.
(A) Comparison of scattering phase function fitted using cubic splines and the theoretical correct phase function using Mie theory. (B) Fitted scattering coefficient and derived anisotropy factor, obtained using the cubic spline model and the less accurate RMC model.
Advanced Monte Carlo methods for deriving optical properties of scattering media using cubic spline-parameterized phase functions
  • Article
  • Full-text available

March 2025

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12 Reads

Levin Stolz

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Alwin Kienle

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Florian Foschum

In this study, we conducted optical goniometric measurements of turbid media and utilized a Monte Carlo model to characterize their optical properties. Our methodology employs an inverse fitting approach that combines Monte Carlo simulations with a Levenberg-Marquardt optimization routine. To enhance the accuracy and robustness of the inverse fitting process, we incorporated second-order derivatives into the algorithm. We also investigated the critical role of the single-scattering phase function and assessed the limitations associated with the commonly used Henyey-Greenstein (HG) approximation. To address these limitations, we developed a fitting procedure that determines the single-scattering phase function via cubic splines. This allows for the simultaneous extraction of both the cubic spline phase function and the scattering and absorption coefficients from goniometric measurements. This approach provides a refined and novel model for analyzing turbid media.

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Flow Raman Spectroscopy for the Detection and Identification of Small Microplastics

February 2025

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23 Reads

The most commonly used methods for the detection and identification of small microplastics generally require a complex sample preparation procedure and only allow for static measurements. Quality control of food and drinking water therefore requires a lot of effort. Especially in view of the increasing amount of plastic waste in the environment, the rising public awareness of the issue and the indications for adverse effects of microplastics on human health, more sophisticated measuring methods are required. In this paper, we present a measuring setup for the detection and identification of microplastics using flow Raman spectroscopy. We demonstrate the ability to acquire Raman spectra of individual particles as small as about 4 µm, enabling the identification of their plastic type. We show measurements of differently generated and shaped particles and particles made of different plastic types, highlighting the observed challenges and differences. Finally, we show possible applications of the measuring method. We demonstrate that the measuring principle is suitable for detecting and identifying microplastic particles among other particles and that aged plastics can still be distinguished by their Raman spectra. Overall, our results show that flow Raman spectroscopy is a promising method that could significantly reduce the effort required to detect microplastics.


Physically accurate rendering of translucent objects

February 2025

Accurately recreating the appearance of translucent materials poses a substantial challenge in physically based rendering, primarily due to limitations in capturing complex light transport, especially subsurface scattering. Current methods often rely on approximations of radiative transfer theory and lack detailed characterization of material optical properties, limiting physical accuracy. Here, we introduce a comprehensive workflow that captures the full physical complexity needed to achieve true physical fidelity in translucent object rendering. Using a calibrated photo box environment, we validate our approach by comparing rendered scenes to their physical counterparts. Across a range of test materials, from silicon phantoms to everyday media like milk, our results show imperceptible color deviations, with ΔE values consistently below 1. By bridging the gap between real-world light behavior and digital simulations, our method enhances predictive rendering realism, paving the way for precise digital representations in medical and technical applications.


Physically accurate rendering of translucent objects

February 2025

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1 Read

Accurately recreating the appearance of translucent materials poses a substantial challenge in physically based rendering, primarily due to limitations in capturing complex light transport, especially subsurface scattering. Current methods often rely on approximations of radiative transfer theory and lack detailed characterization of material optical properties, limiting physical accuracy. Here, we introduce a comprehensive workflow that captures the full physical complexity needed to achieve true physical fidelity in translucent object rendering. Using a calibrated photo box environment, we validate our approach by comparing rendered scenes to their physical counterparts. Across a range of test materials, from silicon phantoms to everyday media like milk, our results show imperceptible color deviations, with ΔE values consistently below 1. By bridging the gap between real-world light behavior and digital simulations, our method enhances predictive rendering realism, paving the way for precise digital representations in medical and technical applications.


The Relationship Between the Optical Properties of Articular Cartilage and the Biomechanical Parameters of the Tissue

January 2025

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43 Reads

Journal of Biophotonics

Iman Kafian-Attari

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[...]

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This study investigates the relationship between the optical properties of articular cartilage with its biomechanical parameters. The absorption and reduced scattering coefficients of articular cartilage, and average maximum penetration depth, average maximum lateral spread, and average path length of photons were estimated by optical measurements and Monte Carlo simulation. The equilibrium and instantaneous moduli, and initial fibrillar network, strain-dependent fibrillar network, and nonfibrillar network moduli, and initial and deformation-dependent permeability of the tissue were estimated by multistep stress-relaxation measurement and fibril-reinforced poroelastic modeling. The relationship between the optical properties and biomechanical parameters was assessed using predictive regression modeling. A strong relationship was found between reduced scattering coefficients, averaged maximum penetration depth, averaged maximum lateral spread, and average path length of photons with equilibrium, instantaneous, and initial fibrillar network moduli. We attribute this relationship to the collagen fibers as the main contributor to the scattering and biomechanical properties of the tissue.


Figure 3. Optical images of the samples with different optical properties. In (a), a photograph of the samples under white-light illumination from the top is shown. The R6G concentration is increasing from left to right and the scattering coefficient from top to bottom. Photographs of the samples under monochromatic illumination (λ = 528 nm) from below are shown in (b). An increase in photoluminescence is observed with an increase in the R6G concentration, which changes the color from turquoise to green.
Characterization of the Optical Properties of Photoluminescent Turbid Media Using an Integrating Sphere and Monte Carlo Simulations

December 2024

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10 Reads

In this paper, we report on the measurement of the optical properties (absorption and scattering coefficients) of photoluminescent turbid media using a homemade integrating sphere setup equipped with a tunable monochromatic light source. The hemispherical reflectance and transmission data are analyzed with the radiative transfer equation using a Monte Carlo simulation-based lookup table to obtain the optical properties of the sample. The results are compared with the optical properties received from a classical integrating sphere setup equipped with a broadband white light source. The additional light of the photoluminescence generates artifacts within the optical properties, which are not present using a monochromatic light source. Additionally, a batch of samples with a broad range of scattering coefficients and dye concentrations were prepared and characterized with the aforementioned setup. The findings can help to generate a digital twin with the optical properties of the sample, which improves the physically based rendering and the design of, e.g., white-light LEDs. Dental restoration and photodynamic therapy also benefit from determination of the optical properties of photoluminescent turbid media.


Auto Aligning, Error-Compensated Broadband Collimated Transmission Spectroscopy

October 2024

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13 Reads

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2 Citations

Broadband spectral measurements of the ballistic transmission of scattering samples are challenging. The presented work shows an approach that includes a broadband system and an automated adjustment unit for compensation of angular distortions caused by non-plane-parallel samples. The limits of the system in terms of optimal transmission and detected forward scattering influenced by the scattering phase function are investigated. We built and validated a setup that measures the collimated transmission signal in a spectral range from 300 nm to 2150 nm. The system was validated using polystyrene spheres and Mie calculations. The limits of the system in terms of optimal transmission and detected forward scattering were researched. The optimal working parameters of the system, analyzed by simulations using the Monte Carlo method, show that the transmission should be larger than 10% and less than 90% to allow for a reliable measurement with acceptable errors caused by noise and systematic errors of the system. The optimal transmission range is between 25% and 50%. We show that the phase function is important when considering the accuracy of the measurement. For strongly forward-scattering samples, errors of up to 80% can be observed, even for a very small numerical aperture of 6.6·10−4, as used in our experimental system. We also show that errors increase with optical thickness as the ballistic transmission decreases and the multiscattered fraction increases. In addition, errors caused by multiple reflections in the sample layer were analyzed and also classified as relevant for classical absorption spectroscopy.


Development of silicone-based phantoms for biomedical optics from 400 to 1550 nm

October 2024

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30 Reads

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3 Citations

This work describes the development of silicone-based evaluation phantoms for biomedical optics in the wavelength range from 400 to 1550 nm. The absorption coefficient μa and the reduced scattering coefficient μs\mu _\text {s}^{\prime } μ s ′ were determined using an integrating sphere setup. Zirconium dioxide pigments were used as scatterers and carbon black as absorbers. We developed an in-house manufacturing process using a Hauschild SpeedMixer to ensure reproducibility. A set of nine cubic phantoms with three different reduced scattering and absorption coefficients was produced. Prediction of the μa and μs\mu _\text {s}^{\prime } μ s ′ was done by using the weighted mass concentrations of the used materials. The average prediction accuracy over all wavelengths and phantoms is 1.0% for the reduced scattering coefficient and 3.5% for the absorption coefficient.


Figure 1. Intensity enhancement η over the number of channels N resulting from simulations solving Maxwell's equations. The black dashed line shows the theoretically expected value according to Equation (1) following [1]. I optishi f t data taken from [24].
Figure 2. Average autocorrelation of the uncorrelated (red, ρ = 0) and correlated (blue, ρ = 0.118) electric fields over the k-vector spacing at N = 221.
Theoretical Investigation of the Influence of Correlated Electric Fields on Wavefront Shaping

August 2024

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44 Reads

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1 Citation

Wavefront shaping is a well-known method of restoring a focus deep within scattering media by manipulating the incident light. However, the achievable focus enhancement depends on and is limited by the optical and geometrical properties of the medium. These properties contribute to the number of linearly independent transmission channels for light propagating through the turbid medium. Correlations occur when the number of incident waves coupled into the scattering medium exceeds this finite number of transmission channels. This paper investigates the wavefront shaping of such correlated electric fields. The influence of the observed correlations persists even though the average electric field distribution at positions in the focal plane follows a circular complex Gaussian. We show that correlations of the transmitted electric fields reduce the achievable intensity enhancement, even deep in the turbid medium. The investigations are carried out using a Monte Carlo algorithm. It is based on the speckle statistics of independent waves and introduces correlations of neighbouring electric fields via a Cholesky decomposition of the covariance matrix. Additional investigations include scenarios where the electric fields are not completely randomized, such as for ballistic or insufficiently scattered light. Significant contributions from such little-scattered light are observed to reduce the intensity enhancement further. Data from simulations solving Maxwell’s equations are compared with the results obtained from the Monte Carlo simulations for validation throughout this paper.


Figure 3. (a) Exemplary double scattering photon paths (red and blue) contributing to the signal in Figure 2b. Due to the special arrangement of the light source and detector, photons must be scattered twice at the same angle, e.g., θ 1 or θ 2 , resulting in the phase function being mapped onto the radiance curve. (b) Sketch of the simulated bistatic LiDAR setup. In the case of low beam divergence, as in scanning LiDAR, the spatial separation between the source and detector leads to a distinct temporal separation of the detected single-scattered signal (red path) from the higher scattering orders, e.g., the double-scattered contributions (blue path).
Figure 5. Cont.
Impact of Multi-Scattered LiDAR Returns in Fog

August 2024

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33 Reads

In the context of autonomous driving, the augmentation of existing data through simulations provides an elegant solution to the challenge of capturing the full range of adverse weather conditions in training datasets. However, existing physics-based augmentation models typically rely on single scattering approximations to predict light propagation under unfavorable conditions, such as fog. This can prevent the reproduction of important signal characteristics encountered in a real-world environment. Consequently, in this work, Monte Carlo simulations are employed to assess the relevance of multiple-scattered light to the detected LiDAR signal in different types of fog, with scattering phase functions calculated from Mie theory considering real particle size distributions. Bidirectional path tracing is used within the self-developed GPU-accelerated Monte Carlo software to compensate for the unfavorable photon statistics associated with the limited detection aperture of the LiDAR geometry. To validate the Monte Carlo software, an analytical solution of the radiative transfer equation for the time-resolved radiance in terms of scattering orders is derived, thereby providing an explicit representation of the double-scattered contributions. The results of the simulations demonstrate that the shape of the detected signal can be significantly impacted by multiple-scattered light, depending on LiDAR geometry and visibility. In particular, double-scattered light can dominate the overall signal at low visibilities. This indicates that considering higher scattering orders is essential for improving AI-based perception models.


Citations (44)


... Nevertheless, the cubic spline successfully captures the prominent Mie oscillations observed in the theoretical phase function. The theoretical Mie calculation is based on the manufacturer's specifications, the refractive index of polystyrene [44], and a particle size distribution with a low standard deviation of 12 nm, as validated by Pink et al. using the same particles [45]. ...

Reference:

Advanced Monte Carlo methods for deriving optical properties of scattering media using cubic spline-parameterized phase functions
Auto Aligning, Error-Compensated Broadband Collimated Transmission Spectroscopy

... Limited literature suggests that PLA remains mechanically stable in controlled room temperature and low humidity conditions but degrades with ultra-violet (UV) light exposure 72 . Commonly used dyes in 3-D printed filaments, including carbon black and titanium dioxide, are known to have stable optical properties and are widely used in optical phantom fabrication 73 . A more extensive longitudinal study on the optical stability of our PLA phantoms is thus a future area of interest. ...

Development of silicone-based phantoms for biomedical optics from 400 to 1550 nm

... In this study, we focus on the role of the scattering phase function in determining the optical properties of turbid media. Building on our previous work [29], we present an advanced approach that integrates arbitrary single scattering phase functions, defined by cubic splines, in the determination of the optical properties. Our methodology utilizes Monte Carlo simulations as a powerful tool to model the light distribution in an optical goniometric setup [30][31][32]. ...

Optical Goniometer Paired with Digital Monte Carlo Twin to Determine the Optical Properties of Turbid Media

... These methods include diffuse optics, Raman spectroscopy [14], near-infrared spectroscopy [10], Fourier-transform infrared spectroscopy [15], optical coherence tomography [16], and hyperspectral imaging [17]. In diffuse optics, absorption and reduced scattering coefficients ( a and ′ s , mm −1 ), averaged maximum penetration depth (PD max , mm), averaged maximum lateral spread (LS max , mm), and average path length of photons (PL avg , mm) are essential parameters that describe how light probes volume of biological tissues like articular cartilage [18]. There are studies that have investigated the association of the optical response and some of the optical properties of articular cartilage, such as a and ′ s , with its biomechanical properties such as instantaneous and equilibrium moduli (E inst and E equ , MPa) [19]. ...

Estimation of Photon Path Length and Penetration Depth in Articular Cartilage Zonal Architecture Over the Therapeutic Window

IEEE transactions on bio-medical engineering

... In this study, the influence of multiple scattering on the detected LiDAR signal in the context of autonomous driving is investigated theoretically for different fog types, visibility ranges and beam geometries using the MC method as a numerical solution to the RTE. To this end, the LiDAR configuration, together with the bidirectional path tracing technique [17], has been implemented into a self-developed GPU-accelerated MC software [18] to enable the efficient computation of the statistically unfavorable detection geometry. In addition, the analytical solution of the RTE for the time-resolved radiance is derived in terms of scattering orders in infinite space and an explicit representation for the double-scattered radiance is provided. ...

An Integral-Equation-Based Variance Reduction Method for Accelerated Monte Carlo Simulations

... We argue that this observation can be explained through collagen fibers of articular cartilage. Collagen fibers are the dominant component of the tissue that contribute to the scattering of the incident light inside the tissue [37,38]. In addition, collagen fibers contribute to E equ (indirectly, through the ECM) and E inst of articular cartilage significantly. ...

Broadband scattering properties of articular cartilage zones and their relationship with the heterogenous structure of articular cartilage extracellular matrix

Journal of Biomedical Optics

... Thus, the methodology presented allows theoretical investigations of WFS beyond ideal conditions and to utilize the knowledge gained in future measurements. Experiments on WFS in general and especially under the influence of ballistic light on volume-scattering phantoms have already been performed by us [36] and can be extended to the limit of correlated transmission modes. ...

Focusing Coherent Light through Volume Scattering Phantoms via Wavefront Shaping

... First, one could attempt to solve it directly, circumventing the complicated approximation methods that stem from the original integro-differential form of the RTE [23]. Second, one could insert a given approximation (that does not solve the equation) on the right hand side, which usually leads to a superior expression for the radiance [24]. Here, we use the radianceĨ predicted by the Monte Carlo simulation, which is a collection of path segments p, each with directionŝ p between z 1 and z 2Ĩ ...

Hybrid method for solving the radiative transport equation
  • Citing Conference Paper
  • August 2023

... Three primary color light-emitting diodes are selected to provide the light source. The color marker sensor is of a Y-shaped optical fiber probe structure to adapt to the small space, transmits the light of specific color, and identifies the color according to the difference in the absorption of light of different wavelengths by the surface of the detection area (Petzi et al., 2023). The sensor's receiving element is embedded with a filter to suppress interference of ambient light, and effectively receives diffuse reflected light signals from the detection area; the sensor's color recognition system filters and amplifies the signal after photoelectric conversion, and the A/D converter converts the analog signal into a digital signal and outputs the RGB value for comparison with the standard color to identify cotton seeds. ...

Radiance and fluence in a scattering disc under Lambertian illumination
  • Citing Article
  • July 2023

Journal of Quantitative Spectroscopy and Radiative Transfer

... With increase irradiation time From 48 to 72 h, FTIR absorbance and Raman bands intensities in polymers undergoing photodegradation increase at 72 h. This increase is attributed to crosslinking [26][27][28], which occurs due to chain scission and subsequent recombination of free radicals [29]. Such recombination is crucial for reinforcing the structural integrity of the polymer and structural stabilization within the material [20]. ...

Investigation of the degree of cross-linking of polyethylene and thermosets using absolute optical spectroscopy and Raman microscopy

Journal of Sensors and Sensor Systems