A Study of f-${\theta}$ Lens Design for Axisymmetric Spherical Surface for RGB Laser Display and its applications

RGB 레이저 가시화를 위한 축대칭 구면 f-${\theta}$ 렌즈 설계 및 프로젝션응용

  • Lee, Y.M. (Dept. of Computer Aided Dies and Mold, Korea PolytechincsVI) ;
  • Choi, H.W. (Mechanical and Automotive Engineering, Keimyung Univ.)
  • 이영민 (한국폴리텍 VI대학 컴퓨터응용금형과) ;
  • 최해운 (계명대학교 기계자동차공학부)
  • Received : 2011.04.21
  • Accepted : 2011.06.21
  • Published : 2011.06.30

Abstract

The design of a telecentric f-${\theta}$ lens with a field of view (FOV) $30^{\circ}$ and an effective focal length of 1000mm is presented. The optical stop is placed at the front plane and the design is based on a geometric ray tracing technique, and the designed system consists of a series of convex and concave lenses. The designed f-${\theta}$ lens showed a considerable reduction in weight with a simplified structure and resulted in a good performance in the designated FOV. Detail analysis of rays is also presented. 653nm (red laser), 586nm (green laser), and 468nm (blue laser) were simulated as a light source and image illuminating source. The developed optical design requires 7 pieces of lenses made of SF1, N-FK56, N-LAK33, and BK7 glass materials. With optimal parametric design, the effective focal length was calculated to be 974.839mm which is very close to the initial design target. For the manufacturing purpose, the dimensions of lens curvature and thickness were truncated with error ranging 0.1% to 3.2%. As a result, the overall error was calculated to be 3.2% which can be still tolerable for display, laser material, and machining processing.

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