Identyfikatory
DOI
Warianty tytułu
Języki publikacji
Abstrakty
This study applies a skew ray tracing approach based on a 4×4 homogeneous coordinate transformation matrix and Snell’s law to analyze the errors of a ray light path as it passes through a series of optical elements in an asymmetrical optical system. The proposed error analysis methodology considers two principal sources of a light path error, namely: i) the translational errors and the rotational errors which determine the deviation of the light path at each boundary surface, and ii) the differential changes induced in the incident point position and unit directional vector of the refracted/reflected ray as a result of differential changes in the position and unit directional vector of the light source. The validity of the proposed methodology is verified by analyzing the effects of optical errors in a corner cube.
Czasopismo
Rocznik
Tom
Strony
249--261
Opis fizyczny
Bibliogr. 22 poz., rys.
Twórcy
autor
- Department of Mechanical Engineering Far East University, No. 49, Chung Hua Road, Hsin-Shih, Tainan 744, Taiwan
autor
- Department of Industrial Design, Far East University, No. 49, Chung Hua Road, Hsin-Shih, Tainan 744, Taiwan
autor
- Department of Mechatronic Technology, National Taiwan Normal University, Taipei 106, Taiwan
Bibliografia
- [1] FISHER R.E., Optical Systems Design, McGraw Hill, New York, 2000.
- [2] KINGSLAKE R., Optical System Design, Academic Press, New York, 1983.
- [3] KIM K., EMAN K.F., WU S.M., Analysis alignment errors in a laser-based in-process cylindricity measurement system, Transaction of the ASME Journal of Engineering for Industry 109(4), 1987, pp. 321–329.
- [4] HOPKINS H.H., TIZIANI H.J., A theoretical and experimental study of lens centering errors and their influence on optical image quality, British Journal of Applied Physics 17(1), 1966, pp. 33–54.
- [5] LAIKIN M., Lens Design, Marcel Dekker, New York, 1995.
- [6] SMITH W.J., Modern Lens Design, Genesse Optics Software, McGraw-Hill, Rochester, New York, 1992.
- [7] HOWARD J.M., Optical design using computer graphics, Applied Optics 40(19), 2001, pp. 3225–3231.
- [8] CHUNYU ZHAO, BURGE J.H., Application of the pupil astigmatism criteria in optical design, Applied Optics 41(34), 2002, pp. 7288–7293.
- [9] SABATKE E.E., BURGE J.H., HINZ P., Optical design of interferometric telescopes with wide fields of view, Applied Optics 45(31), 2006, pp. 8026–8035.
- [10] HERZBERGER M., Modern Geometrical Optics, Interscience Publishers, New York, 1958.
- [11] HECHT E., Optics, Addison-Wesley, New York, 1998.
- [12] PSANG DAIN LIN, Analysis and modeling of optical element and systems, Transaction of the ASME Journal of Engineering for Industry 116(1), 1994, pp. 101–107.
- [13] 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. 1776–1783.
- [14] STONE B.D., Determination of initial ray configurations for asymmetric systems, Journal of the Optical Society of America A 14(12), 1997, pp. 3415–3429.
- [15] WEI WU, PSANG DAIN LIN, Numerical approach for computing the Jacobian matrix between boundary variable vector and system variable vector for optical systems containing prisms, Journal of the Optical Society of America A 28(5), 2011, pp. 747–758.
- [16] TE-TAN LIAO, PSANG DAIN LIN, Analysis of optical elements with flat boundary surfaces, Applied Optics 42(7), 2003, pp. 1191–1202.
- [17] CHUANG-YU TSAI, PSANG DAIN LIN, Prism design based on changes in image orientation, Applied Optics 45(17), 2006, pp. 3951–3959.
- [18] TE-TAN LIAO, A skew ray tracing-based approach to the error analysis of optical elements with flat boundary surfaces, Optik – International Journal for Light and Electron Optics 119(15), 2008, pp. 713–722.
- [19] TE-TAN LIAO, CHUN-TA CHEN, A skew ray tracing approach for the error analysis of optical elements with spherical boundary surfaces, Journal of Modern Optics 55(12), 2008, pp. 1981–2002.
- [20] PAUL R.P., Robot Manipulators: Mathematics, Programming and Control, MIT Press, Cambridge, MA, 1981.
- [21] PSANG DAIN LIN, TE-TAN LIAO, A new model of binocular stereo coordinate measurement system based on skew ray tracing, Journal of Dynamic Systems, Measurement, and Control 126(1), 2004, pp. 102–114.
- [22] Leica Smart 310 Laser Tracker Owner’s Manual, Leica Geosystems AG, Heerbrugg, Switzerland, 1987.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c623ad9b-fbb7-4a3d-8a38-3458d8a3acda