Multiplexing Grating Analysis via Segmented Simulation
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Solution Overview
Problem
Existing methods for analyzing multiplexing gratings are inefficient due to high computational complexity and inability to handle variable multiplexing orders, leading to excessive resource waste and limited scalability in optical design.
Innovation Solution
An analyzing method that determines candidate gratings and their combinations, generates diffraction response maps, and processes luminous intensity maps to produce reconstruction images, reducing computational complexity by focusing on necessary grating combinations and eliminating redundant calculations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If sequential simulation of multiplexing gratings is used, then simulation accuracy is improved, but computational complexity increases exponentially
Solution Approach 1:
The patent segments the multiplexing grating simulation into independent single grating simulations. Each candidate grating is simulated separately using the Kogelnik model, and the results are combined through superposition. This segmentation allows the complex multiplexing problem to be broken down into manageable single grating problems, reducing computational complexity while maintaining accuracy.
Solution Approach 2:
The patent introduces a mathematical transformation that converts the multiplexing grating problem into a single grating problem by changing the analysis dimension. By using the Kogelnik coupled wave theory in a transformed coordinate system, the patent achieves efficient simulation of multiplexing gratings without exponential complexity increase.
2Reliability
If all possible grating permutations are considered, then optimal solution is improved, but computing resources are wasted
Solution Approach 1:
The patent extracts and removes redundant permutations from the search space. By recognizing that certain grating permutations produce identical diffraction patterns, the patent eliminates duplicate calculations, retaining only unique grating combinations that need to be simulated. This extraction of redundant information significantly reduces computing resource consumption.
Solution Approach 2:
The patent performs preliminary analysis to identify and filter out redundant grating permutations before entering the main simulation process. By pre-processing the candidate grating list to remove duplicates and unnecessary permutations, the patent reduces the total number of simulations required, saving computing resources while maintaining the search for optimal solutions.
3Device complexity
If fixed multiplexing order is used, then simulation process is simplified, but adaptability is reduced
Solution Approach 1:
The patent makes the multiplexing order dynamic rather than fixed. The simulation process automatically handles variable multiplexing orders by adjusting the number of candidate gratings and their combinations based on the specific design requirements. This dynamic approach allows the system to adapt to different multiplexing scenarios without requiring manual reconfiguration of the simulation process.
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 significantly reduces computational complexity and resource usage, allowing for more efficient analysis and optimization of multiplexing gratings, enhancing the scalability and accuracy of optical design.
Implementation Method 1
the existing VHG design and analysis mainly aims to develop an algorithm based on Kogelnik's coupled wave theory to calculate the diffraction behavior (e.g., diffraction efficiency, diffraction angle, etc.) of a single grating
Implementation Method 2
The VHG possess periodic fringes of refractive index modulation
Data Source
AI summary
The embodiments of the disclosure provide an analysing method for gratings, an electronic device, and a computer readable storage medium. The method includes: determining candidate gratings; determining grating combinations based on the candidate gratings, wherein each of the grating combinations includes at least one of the candidate gratings, and the at least one of the candidate gratings in each grating combination is different from each other; determining a first diffraction response map of a first multiplexing grating corresponding to a first grating combination of the grating combinations; determining a first luminous intensity map of the first multiplexing grating corresponding to the first grating combination via modifying the first diffraction response map based on at least one parameter of a light engine; and determining a first reconstruction image corresponding to the light engine via processing a template image based on the first luminous intensity map.