3D Target Heat Penetration Modeling for Scattering Materials
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Solution Overview
Problem
Current Digital Heat Injection (DHI) technologies face challenges in accurately modeling and optimizing heat penetration profiles for non-planar and three-dimensionally shaped targets, as well as in accounting for scattering effects within materials, which affect energy deposition and temperature profiles.
Innovation Solution
The method involves determining material parameters, including absorption and scattering coefficients, and using Monte Carlo simulations or Beer-Lambert law calculations to determine the correct wavelength for irradiation, considering the physical geometry of targets, and calculating multi-dimensional incremental irradiation parameters to achieve optimal energy deposition and temperature profiles.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If Monte Carlo simulations are used to model scattering effects in three-dimensionally shaped targets, then measurement precision and manufacturing precision of heat penetration profiles are improved, but device complexity and calculation time increase
Solution Approach 1:
The patent segments the continuous scattering and absorption process into discrete interaction events along photon paths. By dividing the complex three-dimensional heat penetration problem into individual scattering and absorption events that can be modeled sequentially, the patent achieves accurate heat penetration profiles while managing computational complexity through systematic breakdown of the physical process into manageable discrete steps
Solution Approach 2:
The patent performs preliminary characterization of material optical properties (absorption and scattering coefficients) before conducting the full heat penetration simulation. By pre-determining these material-specific parameters and storing them for use in the Monte Carlo simulation, the patent reduces real-time computational complexity while maintaining measurement precision in the actual heating process
2Measurement precision
If scattering effects are accounted for in material modeling, then measurement precision of energy deposition is improved, but device complexity increases
Solution Approach 1:
The patent applies local quality by using position-dependent absorption and scattering coefficients that vary throughout the material volume. Instead of using uniform material properties, the patent allows optical properties to change locally based on position, material composition, and wavelength, thereby achieving accurate energy deposition modeling for heterogeneous materials while keeping the overall framework manageable through localized parameter variations
Solution Approach 2:
The patent systematically varies key parameters including wavelength, absorption coefficient, scattering coefficient, and anisotropy factor to model different material conditions and irradiation scenarios. By establishing relationships between these parameters and their effects on energy deposition, the patent achieves high measurement precision while managing complexity through parameter-based modeling rather than requiring complex structural modifications
3Manufacturing precision
If multiple parameters (absorption coefficient, scattering coefficient, anisotropy) are evaluated, then manufacturing precision of temperature profiles is improved, but loss of time in calculations increases
Solution Approach 1:
The patent performs preliminary determination of material optical properties (absorption coefficient, scattering coefficient, anisotropy) before the actual heating process. By pre-calculating and storing these parameters for quick reference during production, the patent achieves high temperature profile accuracy while minimizing calculation time during actual manufacturing operations
Solution Approach 2:
The patent creates simplified mathematical models and lookup tables that replicate complex physical scattering and absorption behavior. By using pre-computed reference data and simplified equations that copy the essential physics without requiring full Monte Carlo simulations during production, the patent achieves manufacturing precision comparable to detailed simulations while dramatically reducing calculation time for actual manufacturing processes
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach allows for precise optimization of heat penetration and temperature profiles, enabling more effective heating processes by accounting for the unique characteristics of non-planar shapes and scattering materials, leading to improved results in applications like PET preform reheating and food processing.
Implementation Method 1
taking advantage of the characteristic absorption signature of the target item and correspondingly irradiating the target item with narrow-band irradiation at wavelengths or narrow wavelength bands which are selected in accordance with the absorption signature or characteristics of the target
Implementation Method 2
determining if the material parameters define a material that scatters energy, if the material scatters energy, determining if the input wavelength is correct based on an absorption coefficient of the material, a scattering coefficient of the material, and anisotropy
Implementation Method 3
if a non-scattering material is determined, the determining of the correct wavelength further comprises calculations based on the Beer-Lambert law
Data Source
AI summary
A technique is provided to model a heat penetration profile for various targets which are non-planar or three-dimensionally shaped targets for use in a heating system. The relative volume of material that is irradiated at various depths may have an impact on the absorbed heat profile through the target. For example, a hollow cylindrical product has substantially more material per micro-meter near the outside diameter than it does near the inside diameter. Accordingly, the thickness of the wall or the diameter of the hollow inside the cylinder, as well as the outer diameter of the cylinder, have a substantial impact on the ultimate heat profile through the wall.