• 제목/요약/키워드: zernike-polynomials fitting

검색결과 6건 처리시간 0.018초

Quantifying Aberrations on Object Plane Using Zernike Polynomials

  • Yohan Kim;Theo Nam Sohn;Cheong Soo Seo;Jin Young Sohn
    • Current Optics and Photonics
    • /
    • 제8권2호
    • /
    • pp.151-155
    • /
    • 2024
  • Optical systems often suffer from optical aberrations caused by imperfect hardware, which places significant constraints on their utility and performance. To reduce these undesirable effects, a comprehensive understanding of the aberrations inherent to optical systems is needed. This article presents an effective method for aberration detection using Zernike polynomials. The process involves scanning the object plane to identify the optimal focus and subsequently fitting the acquired focus data to Zernike polynomials. This fitting procedure facilitates the analysis of various aberrations in the optical system.

도브 프리즘을 이용한 렌즈 성능평가용 2축 층밀리기 간섭계 (Two-axis latera I-shearing interferometer for performance test of lenses using a Dove prism)

  • 김승우;이혁교;김병창
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 1995년도 추계학술대회 논문집
    • /
    • pp.384-387
    • /
    • 1995
  • Two axes lateral-shearing interferometer(LSI) specially devised for production line inspection lenses is presented. The interferometer composed with four prisms and a dove prism can test the lens performance including asymmetric aspheric lens. The dove prism which rotates the input image with respect to optical axis makes it possible. The wavefront passing through the test lens is reconstsucted by the phase derivative obtained form the two axes LSI system. Zernike-polynomials fitting of this wavefront is presented for determinating quantitative aberration of aspherical lenses.

  • PDF

Surface Error Generation of Freeform Mirror Based on Zernike Polynomial for Optical Performance Prediction

  • Lee, Sunwoo;Park, Woojin;Han, Jimin;Ahn, Hojae;Kim, Yunjong;Lee, Dae-Hee;Kim, Geon Hee;Pak, Soojong
    • 천문학회보
    • /
    • 제45권1호
    • /
    • pp.67.2-67.2
    • /
    • 2020
  • Not only the magnitude of the mirror surface error, the pattern matters as it produces certain aberrations. In particular, the surface error of the freeform mirrors, which are optimized to eliminate specific aberrations, might show much higher sensitivity in optical performance. Therefore, we analyze the mirror surface error with Zernike polynomials with the goal of generating a realistic error surface. We investigate the surface error of the freeform mirror fabricated by diamond turning machine to analyze the realistic tendency of the error. The surface error with 0.22 ㎛ root-mean-square value is fitted to the Zernike terms using the incremental fitting method, which increases the number of the fitting coefficients through steps. Furthermore, optical performance via surface error pattern based on Zernike terms is studied to see the influences of each term. With this study, realistic error surface generation may allow higher accuracy not only for the feasibility test but also for all tests and predictions using optical simulations.

  • PDF

2축 층밀리기 간섭계의 계통오차 보정 (Systematic error calibration of 2-axis lateral shearing interferometer)

  • 김승우;이혁교
    • 한국광학회지
    • /
    • 제13권2호
    • /
    • pp.98-104
    • /
    • 2002
  • 비구면 광학부품의 수차 측정 및 성능 평가를 위해 특별 설계된 층밀리기 간섭계를 소개하고, 이와 더불어 층밀리기 간섭계가 갖는 자체의 계통오차를 측정결과로부터 제거하기 위한 보정 방법을 제안한다. 층밀리기 간섭계의 계통오차는 크게 간섭광학계가 갖는 광학오차와 간섭계의 기구부의 불완전에 기인한 층밀리기 방향의 직교오차로 구분할 수 있다. 이들 두 계통 오차들은 모두 본 논문에서 제안하는 방법으로 모두 보정될 수 있다. 보정 방법은 측정 대상물을 간섭계의 광축을 중심으로 회전하여 측정결과로부터 계통오차를 분리하는 자가보정 원리에 근거한다.

층밀리기 간섭계에 의한 정량적 수차산출에 관한 연구 (A Study on Determination of Quantitative Aberration Using Lateral-Shearing Interferometer)

  • 김승우;김병창;조우종
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 1996년도 추계학술대회 논문집
    • /
    • pp.459-463
    • /
    • 1996
  • The lateral-shearing interferometer specially devised for production line inspection lenses is presented. The interferometer is composed with immersion oil and four prisms whose relative sliding motion provide lateral-shearing and phase-shifting. A special phase-measuring algorithm of a-bucket is adopted to compensate the phase-shifting error caused by the thickness reduction in the immersion oil Three different algorithm for determinating quantitative aberration of aspherical lenses are presented and compared with one another.

  • PDF

Error-immune Algorithm for Absolute Testing of Rotationally Asymmetric Surface Deviation

  • Zhang, Yanwei;Su, Dongqi;Li, Le;Sui, Yongxin;Yang, Huaijiang
    • Journal of the Optical Society of Korea
    • /
    • 제18권4호
    • /
    • pp.335-340
    • /
    • 2014
  • Based on Zernike polynomial fitting, we propose an algorithm believed to be new for interferometric measurements of rotationally asymmetric surface deviation of optics. This method tests and calculates each angular surface by choosing specified rotation angles with lowest error. The entire figure can be obtained by superimposing these sub-surfaces. Simulation and experiment studies for verifying the proposed algorithm are presented. The results show that the accuracy of the proposed method is higher than single-rotation algorithm and almost comparable to the rotation-averaging algorithm with fewer rotation measurements. The new algorithm can achieve a balance between the efficiency and accuracy.