Deformable Mirror Wavefront Compensation Using Zernike Templates
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Solution Overview
Problem
Conventional wavefront aberration compensation systems using deformable mirrors with a large number of electrodes face challenges in achieving rapid and accurate compensation, leading to increased time and complexity in obtaining sharp images at high magnification due to the need for repeated voltage pattern adjustments and complex arithmetic processing.
Innovation Solution
A wavefront aberration compensating apparatus that includes a deformable mirror with a plurality of electrodes, an optical system, a wavefront sensor, and a controller using voltage templates based on Zernike polynomials to calculate and apply voltage values for efficient compensation, reducing the number of compensation iterations and improving responsiveness.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional arithmetic processing method using templates is used for wavefront aberration compensation, then the compensation can be performed, but the calculation amount increases significantly depending on the number of electrodes
Solution Approach 1:
The patent segments the wavefront aberration compensation process by dividing the influence functions into two parts: (1) pre-calculated template data stored in memory that represents the distortion pattern for each electrode, and (2) real-time superposition calculation that combines these templates based on measured aberration. This segmentation allows the complex calculation to be separated into offline preparation (template generation) and online execution (template superposition), significantly reducing real-time computational burden while maintaining compensation accuracy.
Solution Approach 2:
The patent performs preliminary calculation and storage of influence function templates before the actual wavefront aberration compensation is needed. The templates, which represent the distortion patterns for each electrode, are pre-computed and stored in memory. During real-time operation, only the superposition of these pre-stored templates is required, which is computationally much simpler than calculating influence functions from scratch for each compensation cycle.
2Measurement precision
If the number of electrodes in the deformable mirror is increased to improve compensation capability, then the compensation precision improves, but the calculation time increases
Solution Approach 1:
The patent segments the compensation process into template preparation (offline) and template superposition (online). The templates for each electrode are pre-calculated and stored, allowing the system to handle a large number of electrodes without proportionally increasing real-time calculation time. The superposition operation simply combines these pre-prepared templates based on the measured aberration coefficients.
Solution Approach 2:
The patent replaces complex real-time mechanical calculation of influence functions with a simplified computational approach using pre-stored template data. Instead of performing full influence function calculations during real-time operation, the system uses stored template patterns that can be quickly superposed, effectively substituting heavy computational mechanics with lighter data retrieval and combination operations.
3Manufacturing precision
If repeated compensation iterations are performed to achieve sharp images, then the image quality improves, but the photographing time increases
Solution Approach 1:
The patent performs preliminary preparation of influence function templates that capture the essential distortion patterns for each electrode. This pre-computation allows the system to achieve accurate compensation with fewer iteration cycles, as each iteration uses efficient template superposition rather than full influence function calculation, thereby reducing total photographing time while maintaining image sharpness.
Solution Approach 2:
The patent uses template copies of influence functions that are stored in memory. Instead of recalculating influence functions during each compensation iteration, the system retrieves and superposes stored template copies, which significantly speeds up each iteration cycle and reduces the total time required to achieve the desired image sharpness.
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
The system effectively suppresses residual aberration to achieve sharp images at high magnification with reduced time and computational complexity, even with a large number of electrodes, by using polynomial-based voltage templates and a controller to optimize deformable mirror configuration.
Implementation Method 1
a deformable mirror (9) which compensates a wavefront aberration of a light flux entered, the deformable mirror including a plurality of electrodes (9e), and a thin-film mirror (9b) which changes a configuration thereof in accordance with a voltage value applied to each of the electrodes (9e)
Data Source
AI summary
A wavefront aberration compensating apparatus, including: a deformable mirror which compensates a wavefront aberration of a light flux and includes electrodes, and a thin-film mirror which changes a configuration thereof in accordance with a voltage value applied to each of the electrodes; an optical system provided with the deformable mirror and including an object subjected to aberration compensation; a wavefront sensor which measures the wavefront aberration of the light flux; a memory which stores therein a voltage template provided for each expansion mode according to a polynomial of wavefront aberration, as a voltage alignment data for the electrodes which induces the corresponding expansion mode; and a controller configured to determine a superposition amplitude value of each of the expansion modes and calculate the voltage value applied to each of the electrodes by using the voltage templates stored such that the wavefront aberration obtained by the wavefront sensor becomes a desired aberration, and to repeat compensation of the configuration of the thin-film mirror on the basis of the calculated voltage value, such that the wavefront aberration of the light flux measured by the wavefront sensor is suppressed.