Abstract
An application of equidistant low frequency grating for testing of concave cylindrical mirrors and positive cylindrical lenses is described in this paper. The equipments needed for the testing of cylindrical mirrors are visible He-Ne laser, microscope objective, well corrected collimating lens and low frequency grating. The method is found to be useful for revealing the hills, valleys and zonal errors of cylindrical surfaces of medium radius of curvature. The method is useful for estimating the uniformity of cylindrical wavefront emerging out of a cylindrical lens. A method for testing elliptical cylinder surface has also been proposed in this paper.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Optical Shop Testing, Ed. D. Malacara, John Wiley and sons Inc., New York. (1978)
M. V. R. K. Murty and R. P. Shukla, “An oblique incidence interferometer”, Opt. Engg. 15, 461–463 (1976).
H. F. Johnson and H. D. Wolpert, “Cylindrical Optics: How to test them”, Photonics Spectra, 18(4), 55–60 April (1984).
R. Diaz Uribe, J. Pedraza Contreras, O. Cardona Nunez, A. Cordero Davila, and A. Cornejo Rodriguez, “Cylindrical lenses: testing and radius of curvature measurement” App. Opt. 25(10), 1707–1709(1986).
G. E. Hirst, “Some recent developments in the fabrication of variably-spaced linear and circular diffraction gratings” Proc. of the SPIE The Int. Soc. for Opt. Engg. 560, 64–69 (1986).
J. M. Geary, and L. J. Parker, “New test for cylindrical optics” Opt. Engg. 26(8), 813–820 (1987).
J. M. Geary, “Testing cylindrical lenses” Opt.-Engg. 26(12), 1219–1224(1987)
Y. Minami, and K. Yasuda, “HOE interferometer for cylindrical surface” Proc. of the SPIE the Int. Soc. for Opt. Engg. 1720, 506–511 (1992).
G. Schulz, T. Bulmel, R. Kafka, K. E. Elssner and A. Vogel, “Calibration of an interferometer for testing cylindrical surfaces” Opt. Comm. 117(5–6), 512–520 (1995)
J. M. Geary, “An overview of cylindrical optics testing using a fiber optic reference” SPIE The Int. Soc. for Opt. Engg. 2536, 68–74 (1995).
K. E. Elssner, T. Bulmel, R. Burow, R. Kafka, G. Schulz, and A. Vogel, “Absolute interferometric calibration of cylindrical surfaces: experiments” SPIE The Int. Soc. for Opt. Engg. 2536, 75–80 (1995).
A. Krause, M. Palme, and Notni, G. “Interferometers with self-pumped phase-conjugate mirror for testing aspherical and cylindrical surfaces” SPIE The Int. Soc. for Opt. Engg. 2782, 710–718 (1996).
S. Brinkmann, R. Screiner, T. Dresel and J. Schwider, “Interferometric testing of plane and cylindrical work pieces with computer generated holograms”. Opt. Engg. 37(9) 2506–2511(1998)
Q. F. Perez, M. A. Rebollo, N. G. Gaggioli, C. A. Raffo, “Optical methods for cylindricarlough surface testing” SPIE The Int. Soc. for Opt. Engg. 3572, 353–355 (1999)
H. Nurge, and J. Schwider, “Testing of cylindrical lenses by grazing incidence interferometry” SPIE The Int. Soc. for Opt. Engg. 3749, 609–610 (1999)
R. P. Shukla and D. V. Udupa, “A simple method for measuring long radius of curvature of metal cylindrical surface” J. Opt. 30(2), 73–83 (2001)
R. P. Shukla, D. V Udupa and Murty V Mantravadi, “Measurement of radius of curvature of cylindrical surfaces” J. Opt. 30(3), 131–142 (2001)
M V R K Murty, “The use of a single plane parallel plate as a lateral shearing interferometer with a visible gas laser source”. Appl. Opt.. 3.531 (1964)
Y Suzuki, and F. Uchida. “X-Ray focusing with elliptical Kirkpatrick-Baez mirror system” Jap. J. Appl. Phys.,Part-1; 30(5) 1127–1130(1991)
Y. Suzuki, F. Uchida, and Y. Hirai, “X-ray microprobe with a pair of elliptical mirrors” Jap. J. Appl. Phys., Part-2; 28(9) L1660–1662 (1989)
F. Uchida, J. Shigeta, and Y Suzuki, “Observations of GaAs FET structure by a scanning X-ray microscopy” J. Japan Soc. of Precision Engg. 58(3) 546–551 (1992)
A Schindler, T. Haensel, A Nickel, H. J. Thomas, H. Lammert, and F. Siewert, “Finishing procedure for high performance synchrotron optics” Proc. SPIE The Int. Soc. for Opt. Engg. 5180(1)-70–78 (2004)
M. R. Howells, and J. Casstevens, “Achievement of a superpolish on bare stainless steel [X-ray mirrors]” Proc. SPIE The Int. Soc. for Opt. Engg. 3152, 35–40 (1997)
M. R. Howells and D. Lunt, “Design considerations for adjustable-curvature, high-power, X-ray mirrors based on elastic bending” Opt. Engg. 32(8) 1981–1989 (1993)
M. V. R. K. Murty “Lateral shearing interferometer” in D. Malacara. editor, Optical shop testing. Chap. 4, New York, John Wiley, p–117, (1978)
A Cornejo-Rodriguez “Ronchi test” in D. Malacara, editor. Optical shop testing, Chap. 4, New York, John Wiley, p–298, (1978).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Shukla, R.P., Udupa, D.V. Testing of Concave Cylindrical Mirrors, Positive Cylindrical Lenses and Elliptical Cylinder Using a Low Frequency Linear Grating. J Opt 35, 65–73 (2006). https://doi.org/10.1007/BF03354797
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03354797