Scanner Lens Width Determination for Moisture Stability
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Solution Overview
Problem
Conventional scanner lenses for optical scanning systems do not adequately account for the characteristics of the scanning optical system when determining the allowance of width in the vertical scanning direction, leading to unpredictable focal point movement due to moisture absorption.
Innovation Solution
A method for producing a scanner lens where the width in the vertical scanning direction is determined using the expression h=a+2b, where b is a product of the maximum thickness in the optical axis direction and a coefficient adjusted based on the lateral magnification of the optical scanning system to minimize focal point movement caused by moisture absorption.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If allowance of width in the vertical scanning direction is determined by shape of the scanner lens alone, then manufacturing is simplified, but focal point movement due to moisture absorption cannot be adequately controlled
Solution Approach 1:
The patent changes the parameters used to determine allowance width from lens shape alone to a combination of lens shape and scanning optical system characteristics (lateral magnification, beam diameter). This allows the allowance to be optimized for both manufacturing and focal point stability by considering how the optical system magnifies or reduces the effect of lens dimensional changes due to moisture absorption.
Solution Approach 2:
The patent adds a new dimension to the allowance determination process by incorporating lateral magnification of the optical system. Instead of determining allowance purely from one-dimensional lens shape parameters, the solution integrates the optical system's magnification characteristic, effectively adding a system-level dimension to the local lens design parameter.
2Reliability
If allowance width is increased to compensate for focal point movement, then optical performance is maintained, but lens size increases
Solution Approach 1:
The patent optimizes the allowance width by changing from a fixed or shape-based parameter to one that is scaled by the optical system's lateral magnification. This allows the allowance to be precisely sized - large enough to compensate for focal point movement when magnification is high, but not excessively large when magnification is low, thereby minimizing lens size while maintaining optical performance.
3Device complexity
If scanner lens width is determined without considering lateral magnification, then design process is simpler, but focal point movement exceeds acceptable limits
Solution Approach 1:
The patent incorporates lateral magnification as an additional parameter in the allowance calculation, transforming the design process from a simple shape-based approach to a more comprehensive method. While this increases design complexity slightly, it enables precise control of focal point position by accounting for how the optical system amplifies or reduces the impact of lens dimensional changes.
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 allows for efficient determination of the vertical scanning width, ensuring that the focal point movement due to moisture absorption is minimized and not affected by the lateral magnification of the optical scanning system, thereby maintaining optical performance.
Implementation Method 1
the scanner lens absorbs moisture and the focal point in the vertical scanning direction moves
Implementation Method 2
Such a movement of the focal point due to moisture absorption is generated by a change in refractive index inside the scanner lens
Data Source
AI summary
The method includes the steps of: obtaining lateral magnification of an optical scanning system; obtaining the maximum value of thickness in the optical axis direction of an scanner lens; obtaining allowance b on one side and beam diameter a in the vertical scanning direction in the lens; and obtaining width h in the vertical scanning direction of the lens by the following expressionh=a+2b. The allowance b is a product of the maximum value of thickness in the optical axis direction of the lens and a coefficient, and the coefficient is determined according to the lateral magnification of the system in such a way that the maximum value of movement of the focal point of the lens due to moisture absorption is made smaller than or equal to a predetermined value.