Lissajous Dual-Axial Scan Component Frequency Ratio Optimization
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Solution Overview
Problem
Lissajous scan components face challenges in achieving high-resolution, low-flicker projections with efficient power consumption, as they require complex scan trace analysis and are less predictable compared to raster scan components, and the slow axis is underutilized in prior art.
Innovation Solution
A Lissajous dual-axial scan component is designed to operate at a fast-axial and slow-axial resonant frequency, with determined bias frequencies and a scan trace repetition frequency greater than 24 Hz, ensuring a ratio of fast-axial to slow-axial bias frequency less than 10, enhancing scan line density and resolution while maintaining low power consumption.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Use of energy by moving object
If a Lissajous scan component is driven at resonant frequencies to reduce power consumption, then power consumption is reduced, but the scan trace becomes complex and less predictable
Solution Approach 1:
The patent applies parameter changes by carefully selecting and controlling the frequency ratio between fast-axis and slow-axis drive signals. By constraining the frequency ratio to specific rational numbers within defined ranges, the complex Lissajous scan trace becomes predictable and controllable while maintaining the low power consumption benefits of resonant driving. This transforms the uncontrolled complexity into a manageable parameter space.
2Device complexity
If the slow axis is underutilized in prior art Lissajous scan components, then device complexity is reduced, but scan line density and resolution are insufficient
Solution Approach 1:
The patent applies dynamics by transitioning from static or simple oscillating drive modes to dynamic resonant driving at carefully selected frequency ratios. The slow axis is actively utilized with a drive frequency that is a rational multiple of the fast-axis frequency, creating complex but predictable Lissajous figures that significantly increase scan line density and improve projection resolution while maintaining manageable device complexity.
3Adaptability or versatility
If a Lissajous scan component uses a frequency ratio greater than 10, then device flexibility is improved, but flicker increases and scan line density decreases
Solution Approach 1:
The patent applies parameter changes by establishing specific constraints on the frequency ratio parameter. Instead of allowing any high ratio for flexibility, the patent confines the frequency ratio to rational numbers less than 10, and further to specific ranges depending on the application. This parameter optimization simultaneously reduces flicker and increases scan line density while preserving sufficient device flexibility for various projection requirements.
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 solution improves scan line density and resolution, reduces flicker, and balances power consumption and projection quality, achieving excellent projection performance without increasing driving power.
Implementation Method 1
When the actuator drives at the resonant frequency, the scanning angle is expressed as θ = Q × (T/K) where Q is the quality factor of the component. Q is greater than 1500 for a common scan component made of silicon. Resonance, therefore, significantly magnifies vibrational displacement, achieving large-angle scanning even with a smaller force and lower power consumption
Data Source
AI summary
Disclosed herein are a Lissajous dual-axial scan component and a scan frequency generation method thereof. The Lissajous dual-axial scan component scans at a fast-axial resonant frequency and a slow-axial resonant frequency. A fast-axial bias frequency and a slow-axial bias frequency are determined according to the fast-axial resonant frequency and the slow-axial resonant frequency. Fast-axial positive integers and slow-axial positive integers are determined according to a system frequency, the fast-axial bias frequency, and the slow-axial bias frequency. An irreducible fraction is determined according to the fast-axial positive integers and the slow-axial positive integers as a ratio of the fast-axial bias frequency to the slow-axial bias frequency less than 10. A scan trace repetition frequency greater than 24 Hz is determined according to the irreducible fraction in order that the Lissajous dual-axial scan component scans according to the scan trace repetition frequency.