Meta-Optical Element Phase Distribution Optimization
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Solution Overview
Problem
Current display devices face challenges in miniaturization and chromatic aberration, as existing meta-optical elements require multiple phase distributions for different wavelength bands, leading to inefficiencies in optical performance.
Innovation Solution
A method for manufacturing a meta-optical element using a gradient descent algorithm to obtain a single optimal phase distribution applicable across various wavelength bands, which is implemented through a geometrical phased array on a substrate with nanostructures, allowing light to be focused on a single collecting surface regardless of wavelength.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If multiple phase distributions are used for different wavelength bands, then chromatic aberration can be corrected for each band, but the device complexity and manufacturing difficulty increase
Solution Approach 1:
The patent merges multiple wavelength-specific phase distributions into a single unified phase distribution that simultaneously corrects chromatic aberration across red, green, and blue wavelength bands. This is achieved by formulating an optimization problem that minimizes the sum of squared errors for all wavelength bands together, resulting in one phase distribution map that works for all colors rather than requiring separate phase distributions for each wavelength band.
Solution Approach 2:
The patent creates a universal phase distribution that serves multiple wavelength bands simultaneously. The single phase distribution is designed to be multi-functional, correcting chromatic aberration for red, green, and blue light in one unified approach, thereby eliminating the need for wavelength-specific phase distributions and simplifying the overall system design.
2Reliability
If multiple phase distributions are used for different wavelength bands, then chromatic aberration can be corrected, but the manufacturing process becomes more difficult
Solution Approach 1:
The patent combines the requirements for correcting chromatic aberration in multiple wavelength bands into a single optimization problem. By merging the error functions for red, green, and blue bands into one unified objective function, the solution produces a single phase distribution that can be directly fabricated without requiring multiple separate manufacturing processes for different wavelength corrections.
Solution Approach 2:
The patent changes the optimization parameters by formulating a unified error function that incorporates all wavelength bands simultaneously. This parameter transformation allows the system to find a single optimal phase distribution that minimizes chromatic aberration across all bands, simplifying the manufacturing parameters from multiple wavelength-specific distributions to one universal distribution.
3Ease of manufacture
If a single phase distribution is used, then manufacturing is simplified, but chromatic aberration correction across different wavelength bands deteriorates
Solution Approach 1:
The patent implements a feedback mechanism through the unified error function that continuously monitors and minimizes chromatic aberration across all wavelength bands simultaneously. The optimization process uses feedback from the combined error signals of red, green, and blue bands to iteratively adjust the single phase distribution, ensuring that chromatic aberration is corrected for all wavelengths while maintaining manufacturing simplicity.
Solution Approach 2:
The patent performs preliminary optimization by formulating and solving the unified optimization problem before fabrication. The single phase distribution is pre-optimized to simultaneously correct chromatic aberration across all wavelength bands, allowing the manufacturing process to proceed with a single predetermined pattern rather than requiring post-fabrication adjustments for different wavelengths.
4Reliability
If multiple phase distributions are used for different wavelength bands, then optical performance can be optimized for each band, but the design complexity increases
Solution Approach 1:
The patent merges the design processes for multiple wavelength bands into a single unified optimization framework. By combining the objective functions for red, green, and blue bands into one comprehensive error function, the design process produces a single phase distribution that optimizes optical performance across all wavelengths simultaneously, eliminating the need for separate design iterations for each wavelength band.
Solution Approach 2:
The patent develops a universal design approach where a single phase distribution serves all wavelength bands. This multi-functional design eliminates the complexity of creating and coordinating multiple wavelength-specific phase distributions, while still achieving optimized optical performance across the entire visible spectrum through unified optimization.
Data Source
AI summary
A method of manufacturing a meta-optical element includes propagating light with random phase distribution toward a light collecting surface, obtaining a simulation intensity of the light at the light collecting surface through simulation, generating an error function based on an error data which is a difference between the simulation intensity of the light and an ideal intensity of the light, obtaining an optimal phase distribution of the light which outputs a minimum function value of the error function by applying a gradient descent, and forming a meta-optical element that implements the optimal phase distribution.