Projection Optical System Wide Angle Aberration Control
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Solution Overview
Problem
Current projection optical systems fail to achieve a wide angle of view while effectively correcting aberrations and controlling costs, particularly due to the need for large aspherical mirrors and excessive lens sizes.
Innovation Solution
A projection optical system comprising a first optical system and a second optical system with specific conditional formulas to ensure a wide angle of view, aberration correction, and cost efficiency, where the second optical system is divided into lens groups with a common optical axis and optimized surface configurations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If the focal length of the projection optical system is shortened to achieve a wider angle of view, then the angle of view is improved, but the lenses toward the magnification side become excessively large
Solution Approach 1:
The projection optical system is divided into two separate optical systems: a first optical system that forms an intermediate image, and a second optical system that focuses the intermediate image on the magnification side conjugate plane. This segmentation allows each subsystem to be optimized independently, enabling a wider angle of view without requiring excessively large lenses in the second optical system.
Solution Approach 2:
An intermediate image is introduced as a mediator between the object side and the magnification side conjugate plane. The first optical system forms this intermediate image, which then serves as the object for the second optical system. This intermediary approach enables the second optical system to have a shorter back focus and smaller lens sizes while still achieving the desired wide angle of view.
2Adaptability or versatility
If an aspherical mirror is used to widen the angle of view and correct aberrations, then the angle of view and aberration correction are improved, but the size and cost of the mirror become excessively large
Solution Approach 1:
The patent replaces the expensive and large aspherical mirror with conventional lenses in a two-stage optical system. This substitution uses more affordable, compact optical elements to achieve the same functional goals of wide angle of view and aberration correction, significantly reducing system size and cost.
Solution Approach 2:
The patent changes the optical design parameters by introducing an intermediate image formation stage with specific conditional formulas relating the effective image diameter, focal lengths, and back focus. This parameter optimization allows the system to achieve wide angle of view without requiring large aspherical mirrors.
3Manufacturing precision
If aberrations are corrected independently by separate optical systems with an intermediate image, then each system can be optimized, but the angle of view cannot be widened to the required degree
Solution Approach 1:
The patent merges the aberration correction functionality into both optical systems working together as an integrated whole. The first optical system corrects aberrations in forming the intermediate image, while the second optical system further corrects aberrations in focusing the final image, achieving both precise aberration correction and wide angle of view through coordinated operation.
Solution Approach 2:
The patent employs dynamic optimization by establishing specific conditional formulas that relate the parameters of both optical systems. These formulas allow the system to dynamically adjust the relationship between effective image diameter, focal lengths, and back focus to simultaneously achieve wide angle of view and effective aberration correction.
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 achieves high projection performance with a wide angle of view while minimizing costs by reducing lens sizes and eliminating the need for expensive aspherical mirrors, effectively correcting various aberrations.
Implementation Method 1
a first optical system constituted by a plurality of lenses that forms the image displayed by the image display elements as an intermediate image
Implementation Method 2
a second optical system constituted by a plurality of lenses that focuses the intermediate image on the magnification side conjugate plane
Data Source
AI summary
A projection optical system is constituted by, in order from the reduction side, a first optical system constituted by a plurality of lenses for forming an image displayed by image display elements as an intermediate image, and a second optical system constituted by a plurality of lenses for forming the intermediate image on a magnification side conjugate plane. Conditional Formula (1) below is satisfied.8.20<Imφ·f2/f2<20.00 (1)