PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Skew ray tracing and error analysis of optical elements with ellipsoid boundary surfaces

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Utilizing a ray tracing approach based upon Snell's optical laws and a 4×4 homogeneous coordinate transformation matrix, this study conducts a systematic analysis of the errors induced in the paths of skew rays as they pass through an optical element with an ellipsoid boundary surface. The error analysis performed in this study considers two principal sources of light path error, namely (1) translational and rotational errors of the boundary surfaces, and (2) differential changes induced in the position of the incident ray on the boundary surface and the unit directional vector of the refracted/reflected ray as a result of changes in the position and unit directional vector of the light source. The validity of the proposed methodology is demonstrated by analyzing an optical element with an arbitrary ellipsoid boundary surface.
Czasopismo
Rocznik
Strony
677--692
Opis fizyczny
Bibliogr. 14 poz.,
Twórcy
autor
  • Department of Mechanical Engineering, Far East University, No. 49, Chung Hua Road, Hsin-Shih. Tainan 744, Taiwan
Bibliografia
  • [1] SMITH W.J., Modern Optical Engineering, 3rd Edition, SPIE Press., McGRAW-HILL, New York 2001.
  • [2] BORN M., WOLF E., Principles of Optics, Pergamon Press, New York 1985.
  • [3] KINGSLAKE, R., Lens Design Fundamentals, Academic Press, New York 1978.
  • [4] FORBES G.W., Optical system assessment for design: numerical ray tracing in the Gaussian pupil, Journal of the Optical Society of America A, 5(11), 1988, pp. 1943–56.
  • [5] FORBES G.W., Accuracy doubling in the determination of the final ray configurations, Journal of the Optical Society of America A, 6(11), 1989, pp. 1776–83.
  • [6] STONE B.D., Determination of initial ray configurations for asymmetric systems, Journal of the Optical Society of America A, 14(12), 1997, pp. 3415–29.
  • [7] LIAO T.T., LIN P.D., Analysis of optical elements with flat boundary surfaces, Applied Optics 42(7), 2003, pp. 1191–202.
  • [8] LIN P.D., LU, C.H., Analysis and design of optical system by use of sensitivity analysis of skew ray tracing, Applied Optics 43(4), 2004, pp. 796–807.
  • [9] TSAI C.Y., LIN P.D., Prism design based on image orientation change, Applied Optics 45(17), 2006, pp. 3951–59.
  • [10] MAHAJAN V.N., Optical Imaging and Aberrations, SPIE Bellingham, Washington 1998.
  • [11] TLUSTY J., Techniques for testing accuracy of NC-machine tools, 12th MDTR-Conference, 1972.
  • [12] FERREIRA P.M., LIU R.C., An analytical quadratic model for the geometric error of a machine tool, Journal of Manufacturing System 5(1), 1986, pp. 51–63.
  • [13] LIAO T.T., A skew ray tracing-based approach to the error analysis of optical elements with flat boundary surfaces, Optic 119, 2008, pp. 713–22.
  • [14] PAUL R.P., Robot manipulators-mathematics, [in:] Programming and Control, Cambridge, MA, 1982.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPW7-0009-0061
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.