Electromagnetic Beam Simulation via Pre-computed Lookup Tables
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Solution Overview
Problem
Current methods for simulating electromagnetic beams, such as light beams propagating through materials like fog, face challenges in performing real-time calculations due to the complexity of accounting for reflection and diffusion effects, which requires significant computational resources and memory.
Innovation Solution
The use of reduced-order models to efficiently simulate the reflection and transmission of light beams by assigning parameters based on beam properties and material characteristics, allowing for real-time computation of beam propagation through materials with complex boundary layers.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If complex calculations are performed to account for reflection and diffusion effects, then physical accuracy of beam propagation simulation is improved, but computational time and resources increase
Solution Approach 1:
The patent pre-calculates reflection and transmission parameters for various angles and material properties before runtime, storing them in lookup tables. During actual simulation, the system only needs to query these pre-computed values rather than performing complex calculations, thus achieving both physical accuracy and real-time performance
Solution Approach 2:
The system implements a hybrid approach where full physical calculations are performed only for parameter generation, while runtime simulation uses simplified lookup-based queries. This partial application of complex physics maintains accuracy where needed while avoiding unnecessary computational overhead during execution
2Productivity
If a look-up table is used to store all possible angles and material thicknesses, then real-time computation is enabled, but memory requirements increase
Solution Approach 1:
The patent implements adaptive resolution in the lookup tables, storing high-precision data only for critical angle ranges and material properties that significantly affect simulation results, while using coarser granularity for less sensitive parameters. This localized precision maintains accuracy where needed while reducing overall memory consumption
Solution Approach 2:
The system dynamically adjusts the granularity and precision of lookup table entries based on the specific simulation context, material type, and beam parameters. By changing parameter resolution adaptively, the system optimizes the balance between memory usage and computational accuracy for different scenarios
3Measurement precision
If all possible angles and material properties are pre-calculated, then simulation accuracy is improved, but model complexity increases
Solution Approach 1:
The patent divides the parameter space into discrete segments or bins for different angle ranges, material types, and thickness categories. This segmentation allows the system to manage complex physical relationships through structured, modular lookup tables rather than monolithic complex models, making the system both accurate and manageable
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
Enables real-time simulation of electromagnetic beams by reducing computational complexity, making it feasible to perform physically accurate calculations of beam propagation through various materials and environments.
Implementation Method 1
determining a reflection and/or transmission of the first beam relative to the first boundary layer
Implementation Method 2
determining a reflection and/or transmission of the first beam relative to the first boundary layer
Implementation Method 3
accounting for reflection and diffusion effects as the beam enters the material and passes through it
Implementation Method 4
accounting for reflection and diffusion effects as the beam enters the material and passes through it
Data Source
AI summary
A method for the simulation of a propagation of electromagnetic beams, in particular light beams, is revealed, comprising the following steps of parametric specification of a first beam relative to a first boundary layer, specification of a first material into which the first beam should propagate after the first boundary layer, and determination of a reflection and/or transmission of the first beam relative to the first boundary layer on the basis of the first material and on the basis of a first model, wherein the first model comprises one or more functions which associate one or more reflection and/or transmission parameters with the first beam, and wherein the reflection and/or transmission parameter(s) associated with the first beam via the functions are determined.