Spectacle Lens Optimization Using Wavefront Coefficient Propagation
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Solution Overview
Problem
Current methods for optimizing spectacle lenses are inefficient in considering higher-order aberrations, leading to increased computing effort and suboptimal correction of visual defects across all directions of sight.
Innovation Solution
A computer-implemented method that determines higher-order aberrations of a spectacle lens by specifying a function that assigns secondary coefficients to primary coefficients, allowing for efficient propagation of wavefronts without complex ray tracing, and iteratively adjusts the lens surfaces to achieve precise correction.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If complex ray tracing methods are used to determine higher-order aberrations, then measurement precision of wavefront propagation is improved, but computing effort increases significantly
Solution Approach 1:
The patent replaces complex mechanical ray tracing calculations with an algebraic coefficient propagation method. Instead of tracing individual rays through the optical system using iterative numerical methods, the invention uses polynomial coefficients to represent wavefronts and applies algebraic operations to propagate these coefficients through the optical system, significantly reducing computational complexity while maintaining accuracy
Solution Approach 2:
The patent transforms the representation of wavefronts from ray-based geometric parameters to polynomial coefficient parameters. By expressing wavefronts as polynomials with coefficients that encode optical information, the system enables efficient algebraic manipulation and propagation of optical aberrations without requiring computationally intensive ray tracing operations
2Manufacturing precision
If higher-order aberrations are considered in lens optimization, then manufacturing precision of visual correction is improved, but device complexity increases
Solution Approach 1:
The patent replaces complex iterative ray tracing optimization with a streamlined coefficient-based algebraic method. By using polynomial coefficients to represent and manipulate wavefronts, the optimization process becomes computationally more efficient while achieving the same or better precision in correcting higher-order aberrations
Solution Approach 2:
The patent changes the optimization parameters from ray-based geometric descriptions to polynomial coefficient representations. This parameter transformation simplifies the mathematical operations required for optimization, making it feasible to incorporate higher-order aberrations without excessive computational burden
Data Source
AI summary
Method for calculating or optimizing a spectacle lens, includingspecifying at least one surface for the spectacle lens to be calculated or optimized;determining the course of a main ray through at least one visual point of the at least one surface;determining a first primary set and a second primary set of coefficients of the local aberration of a local wavefront;specifying at least one function which assigns a second secondary set of coefficients to a second primary set of coefficients, said second secondary set of coefficients defining the higher-order aberration of a propagated wavefront;determining a higher-order aberration of a local wavefront propagated starting from the at least one visual point along the main ray depending on at least the second primary set of coefficients on the basis of the specified function; andcalculating or optimizing the at least one surface of the spectacle lens based on the determined higher-order aberration of the propagated local wavefront.