Qualitative evaluation of a parabolic mirror with substructured Ronchi gratings
DOI:
https://doi.org/10.31349/RevMexFis.70.031303Keywords:
Ronchi interferometric; Rayleigh distanceAbstract
In this work we propose to qualitatively test the quality of a concave parabolic mirror by means of the Ronchi interferometric test using substructured gratings to increase the sharpness of the fringes. The substructured gratings are designed considering that the grating period is divided into several stripes of equal width that can be transparent or opaque; the transmission coefficients of the stripes along the grating period are not periodic, but a previously chosen binary sequence. Equations were derived to obtain the corresponding intensity profiles and an analysis of these profiles was performed for different sequences and positions of the substructured gratings with respect to the test mirror. It was experimentally verified that the fringes are sharper at the Rayleigh distance inside and outside the mirror focus.
References
V. Ronchi, Forty Years of History of a Grating Interferometer, Appl. Opt. 3 (1964) 437, https://doi.org/10.1364/AO.3.000437
A. Cornejo-Rodríguez, Ronchi test, Optical Shop Testing 3 (2007)
R. Juarez-Salazar, Nonparaxial geometrical Ronchi test for spherical mirrors: an inverse ray-tracing approach, Appl. Opt. 55 (2016) 5986, https://doi.org/10.1364/AO.55.005986
D. Malacara, Analysis of the interferometric Ronchi test, Appl. Opt. 29 (1990) 3633, https://doi.org/10.1364/AO.29.003633
D. Aguirre-Aguirre et al., Simulation algorithm for ronchigrams of spherical and aspherical surfaces, with the lateral shear interferometry formalism, Optical Review 20 (2013) 271, https://doi.org/10.1007/s10043-013-0049-7
J. Castro-Ramos, S. Vazquez-Montiel, and A. Padilla-Vivanco, Phase shifting interferometry by using an LCD and bironchi test, In A. M. O. and J. L. Paz, eds., 5th Iberoamerican Meeting on Optics and 8th Latin American Meeting on Optics, Lasers, and Their Applications, vol. 5622, International Society for Optics and Photonics (SPIE, 2004) pp. 639 - 645, https://doi.org/10.1117/12.591802
E. Luna et al., High-resolution phase-shifting Ronchi test, Appl. Opt. 61 (2022) 7875, https://doi.org/10.1364/AO.468068
D. Aguirre-Aguirre et al., Algorithm for Ronchigram recovery with random aberrations coefficients, Optical Engineering 52 (2013) 053606, https://doi.org/10.1117/1.OE.52.5.053606
R. Barakat, General Diffraction Theory of Optical Aberration Tests, from the Point of View of Spatial Filtering, J. Opt. Soc. Am. 59 (1969) 1432, https://doi.org/10.1364/JOSA.59.001432
F. Cooke, M. V. R. K. Murty, and A. Cornejo, Sharpening the Fringes in the Ronchi Test, Appl. Opt. 12 (1973) 2230, https://doi.org/10.1364/AO.12.002230
J. Salinas-Luna et al., Ronchi test with variable-frequency rulings, Optical Engineering 48 (2009) 013604, https://doi.org/10.1117/1.3072956
M. M. Gonzalez and N. A. Ochoa, The Ronchi test with an LCD ´ grating, Optics Communications 191 (2001) 203, https://doi.org/10.1016/S0030-4018(01)01141-5
M. Mora-Gonzalez and N. A. Ochoa, Sinusoidal liquid crystal display grating in the Ronchi test, Optical Engineering 42 (2003) 1725, https://doi.org/10.1117/1.1572890
D. Aguirre-Aguirre, et al., Substructured Ronchi gratings from the linear combination of classical gratings, Optical Engineering 53 (2014) 114111, https://doi.org/10.1117/1.OE.53.11.114111
R. H. Katyl, Moire Screens Coded with Pseudo-Random Sequences, Appl. Opt. 11 (1972) 2278, https://doi.org/10.1364/AO.11.002278
M. Campos-Garcia and F.-S. Granados-Agustin, Interferometric Ronchi test by using substructured gratings, In H. Bosse, B. Bodermann, and R. M. Silver, eds., Modeling Aspects in Optical Metrology II, vol. 7390, International Society for Optics and Photonics (SPIE, 2009) p. 73901B, https://doi.org/10.1117/12.827302
D. Aguirre-Aguirre et al., Evaluation of the increment of the sampling in optical testing using substructured Ronchi gratings, Journal of Physics: Conference Series 274 (2011) 012062, https://doi.org/10.1088/1742-6596/274/1/012062
J. Wen, Y. Zhang, and M. Xiao, The Talbot effect: recent advances in classical optics, nonlinear optics, and quantum optics, Adv. Opt. Photon. 5 (2013) 83, https://doi.org/10.1364/AOP.5.000083
E. Peli, Contrast in complex images, J. Opt. Soc. Am. A 7 (1990) 2032, https://doi.org/10.1364/JOSAA.7.002032
P. J. Bex and W. Makous, Spatial frequency, phase, and the contrast of natural images, J. Opt. Soc. Am. A 19 (2002) 1096, https://doi.org/10.1364/JOSAA.19.001096
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Manuel Campos-García, Fermín Granados-Agustín, Daniel Aguirre-Aguirre, Víctor Iván Moreno-Oliva, Oliver Huerta-Carranza
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
