Lissajous Focus Trajectory for High-Speed Transparent Material Sectioning
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Solution Overview
Problem
Existing methods for sectioning transparent materials using optical radiation, such as in ophthalmology, face challenges in achieving high sectioning speed, particularly when creating crossing cuts, due to deceleration and acceleration of scanning devices, which prolongs surgical procedures and complicates precise focusing within the material.
Innovation Solution
A method utilizing a periodic, crossing Lissajous figure path for shifting the focus of optical radiation perpendicular to the main direction of incidence, allowing for maximum speed and precise control, especially when combined with harmonic oscillations and z-axis adjustments, to efficiently create crossing cuts without disrupting the focus.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If a scanning device is used to shift the focus along a path for creating crossing cuts, then the sectioning capability is improved, but the deceleration and acceleration of the scanning device prolong the surgical procedure time
Solution Approach 1:
The patent employs periodic harmonic oscillations to move the focus along a Lissajous figure path. By using periodic motion at resonant frequencies of the scanning device, the system achieves crossing cuts without requiring repeated deceleration and acceleration, thereby reducing surgical procedure time while maintaining the capability to create complex crossing cut patterns.
2Manufacturing precision
If the focus is shifted along a curved path to create crossing cuts, then the sectioning precision is improved, but the scanning device speed must be reduced, lowering the sectioning speed
Solution Approach 1:
The patent uses periodic harmonic oscillations at resonant frequencies to move the focus along a Lissajous figure path. This periodic motion enables the scanning device to traverse curved paths at maximum speed without compromising precision, as the resonant frequency ensures smooth, controlled motion that maintains focus accuracy while maximizing sectioning speed.
Solution Approach 2:
The patent dynamically adjusts the oscillation frequencies and amplitudes of the scanning device to optimize the Lissajous figure path. By dynamically controlling the motion parameters, the system maintains precise focus positioning along complex curved paths while operating at maximum scanning speeds, thereby achieving both high precision and high productivity.
3Productivity
If the focus is continuously moved to maximize scanning speed, then the sectioning speed is improved, but the precise focusing within the material is compromised
Solution Approach 1:
The patent employs periodic harmonic oscillations at the resonant frequency of the scanning device, which ensures that the focus remains precisely positioned throughout the motion. The resonant frequency provides natural damping and stability, allowing continuous high-speed scanning while maintaining accurate focus within the material for effective nonlinear optical interactions.
4Measurement precision
If deceleration and acceleration are applied to the scanning device for precise positioning, then the positioning accuracy is improved, but the surgical procedure time is prolonged
Solution Approach 1:
The patent uses periodic harmonic oscillations to continuously move the scanning device through the entire cutting path without stopping or changing speed. The resonant frequency ensures that the device maintains stable, accurate positioning throughout the motion, eliminating the need for deceleration and acceleration phases while preserving positioning accuracy and reducing surgical time.
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 enables rapid and precise sectioning of transparent materials, including crossing cuts, by optimizing the path of the focus to maximize scanning speed and maintain precise focusing, reducing surgical time and minimizing material disruption.
Implementation Method 1
optical radiation is focussed onto a focus in the material
Implementation Method 2
Non-linear processes are usually used which require a focussing of treatment radiation, usually pulsed laser radiation, into the material
Implementation Method 3
a periodic, crossing Lissajous figure is used as the path in a view perpendicular to a main direction of incidence of the radiation
Implementation Method 4
especially when combined with harmonic oscillations and z-axis adjustments
Implementation Method 5
processes in which several laser radiation pulses which are emitted one after the other interact in order to achieve a material-cutting effect
Implementation Method 6
achieve a material-cutting effect
Data Source
AI summary
A method for creating cuts in a transparent material using optical radiation, wherein the optical radiation is focused at a focus in the material and the focus is displaced along a trajectory, wherein a periodic, crossing Lissajous figure is used as trajectory as viewed perpendicular to a main direction of incidence at the radiation.


