Determination of the angle of rotation of the diffraction grating by the method of conical diffraction

Authors

  • P.P. Vankevych Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine, Lviv, Ukraine
  • B.D. Drobenko Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine, Lviv, Ukraine
  • N.Y. Ftomyn Ivan Franko National University of Lviv, Lviv, Ukraine
  • Ya. M. Chornodolskyy Faculty of Physics, Ivan Franko National University of Lviv, Lviv, Ukraine
  • A.D. Chernenko Ivan Franko National University of Lviv, Lviv, Ukraine
  • P.I. Vankevych Ivan Franko National University of Lviv, Lviv, Ukraine
  • A. Y. Derevjanchuk Sumy State University, Sumy, Ukraine
  • D. R. Moskalenko Sumy State University, Sumy, Ukraine

DOI:

https://doi.org/10.15330/pcss.23.4.825-829

Keywords:

Conical diffraction, diffraction grating, optical system, laser

Abstract

Diffractograms of rotated polyaniline fiber grating were studied experimentally. Based on the obtained results, the diffraction patterns were analyzed and set of experimental data obtained after image digitization was approximated by the least squares method. The angle of rotation of the diffraction grating was calculated using the determined coefficients of the second-order curves.

References

J. E. Harvey, R. N. Pfisterer, Understanding diffraction grating behavior: including conical diffraction and Rayleigh anomalies from transmission gratings, Optical Engineering, 58(8), 087105 (2019); https://doi.org/10.1117/1.OE.58.8.087105.

J. E. Harvey, C. L. Vernold, Description of Diffraction Grating Behavior in Direction Cosine Space, Applied Optics, 37(34), 8158 (1998); https://doi.org/10.1364/AO.37.008158.

J. E. Harvey, A. Krywonos, A Global View of Diffraction: Revisited, Proc. SPIE, AM100-26, 1 (2004).

G. Heuberger, J. Klepp, J. Guo, Y. Tomita, M. Fally, Light difraction from a phase grating at oblique incidence in the intermediate difraction regime, Applied Physics B, 127, 72 (2021); https://doi.org/10.1007/s00340-021-07620-x.

L. G. Phadke, J. Allen, Diffraction patterns for the oblique incidence gratings, American Journal of Physics, 55(6), 562 (1987); https://doi.org/10.1119/1.15119.

M. G. Moharam, T. K. Gaylord, Rigorous coupled-wave analysis of planar-grating diffraction, J. Opt. Soc. Am., 71(7), 811 (1981).

M. G. Moharam, T. K. Gaylord, Three-dimensional vector coupled-wave analysis of planar-grating diffraction, J. Opt. Soc. Am., 73(9), 1105 (1983).

R. L. McEntafer, W. Cash, A. Shipley, Off-plane reflection gratings for Constellation-X, Proceedings of the SPIE, 701107, 1 (2008); https://doi.org/10.1117/12.789543.

P. Vankevych, V. Dehtyarenko, B. Drobenko, Yu. Nastyshyn, Fiber fabric as an element of signal systems, Military Technical Collection, 23, 65 (2020); https://doi.org/10.33577/2312-4458.23.2020.65-74.

Y. Nievergelt, Fitting conics of specific types to data, Linear Algebra and its Applications, 378, 1 (2004); https://doi.org/10.1016/j.laa.2003.08.022.

P. O’Leary, P. Zsombor-Murray, Direct and specific least-square fitting of hyperbolæ and ellipses, Journal of Electronic Imaging, 13(3), 492 (2004); https://doi.org/10.1117/1.1758951.

M. Harker, P. O’Leary, P. Zsombor-Murray, Direct type-specific conic fitting and eigenvalue bias correction, Image and Vision Computing, 26, 372 (2008); https://doi.org/10.1016/j.imavis.2006.12.006.

URL http://logical.ai/conic/org/fitting.html.

Y. Wua, H. Wang, F. Tang, Z. Wang, Efficient conic fitting with an analytical Polar-N-Direction geometric distance, Pattern Recognition, 90, 415 (2019); https://doi.org/10.1016/j.patcog.2019.01.023.

M. Born, E. Wolf, Principles of Optics, Second (revised) edition (Pergamon Press, 1964).

E. Hecht, Optics, 4th edition (Addison-Wesley, 2011).

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Published

2022-12-24

How to Cite

Vankevych, P., Drobenko, B., Ftomyn, N., Chornodolskyy, Y. M., Chernenko, A., Vankevych, P., … Moskalenko, D. R. (2022). Determination of the angle of rotation of the diffraction grating by the method of conical diffraction. Physics and Chemistry of Solid State, 23(4), 825–829. https://doi.org/10.15330/pcss.23.4.825-829

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Section

Scientific articles (Physics)

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