Abstract
A method is proposed for the synthesis of self-focusing amplitude diffractive optical elements (DOEs) without a carrier spatial frequency for operation in diverging beams and forming a single focused diffraction order, which can occupy the entire region of the DOE image being reconstructed due to the absence of the need for spatial separation of orders. The synthesis takes place in two stages. The first is carried out by an iterative algorithm similar to the Gerchberg–Saxton algorithm, with the differences that the synthesized DOE is amplitude rather than phase, and the incident wavefront is diverging spherical. Next, the direct search with a random trajectory method is applied. As a result, for a binary amplitude DOE, it was possible to achieve synthesis error values of 6% and a diffraction efficiency of 6%. The results of the experimental implementation of DOE using a digital micromirror device are presented.
Similar content being viewed by others
REFERENCES
V. A. Soifer, L. L. Doskolovich, and N. L. Kazanskiy, Methods for Computer Design of Diffractive Optical Elements (Wiley, New York, 2002).
A. N. Putilin, A. V. Morozov, S. S. Kopenkin, S. E. Dubynin, and Yu. P. Borodin, Opt. Spectrosc. 128, 1828 (2020).
N. N. Evtikhiev, V. V. Krasnov, I. D. Kuz’min, D. Yu. Molodtsov, V. G. Rodin, R. S. Starikov, and P. A. Cheremkhin, Quantum Electron. 50, 195 (2020).
N. N. Evtikhiev, S. N. Starikov, D. V. Shaulskiy, R. S. Starikov, and E. Y. Zlokazov, Opt. Eng. 50, 065803 (2011).
U. Schnars, C. Falldorf, J. Watson, and W. Juptner, Digital Holography and Wavefront Sensing: Principles, Techniques and Applications (Springer, Berlin, 2015).
N. N. Evtikhiev, S. N. Starikov, P. A. Cheremkhin, and E. A. Kurbatova, Radiophys. Quantum El. 57, 635 (2015).
L. B. Lesem, P. M. Hirsch, and J. A. Jordan, IBM J. Res. Developm. 13, 150 (1969).
T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, Opt. Express 23, 17269 (2015).
P. A. Cheremkhin, N. N. Evtikhiev, V. V. Krasnov, L. A. Porshneva, V. G. Rodin, and S. N. Starikov, Proc. SPIE 9131, 913124 (2014).
T.-H. Chao, T. Lu, B. Walker, and G. Reyes, Proc. SPIE 9094, 909402 (2014).
J. Liang, R. N. Kohn, M. F. Becker, and D. J. Heinzen, Appl. Opt. 49, 1323 (2010).
Y. X. Ren, R. De Lu, and L. Gong, Ann. Phys. 527, 447 (2015).
N. N. Evtikhiev, E. Y. Zlokazov, V. V. Krasnov, V. G. Rodin, R. S. Starikov, and P. A. Cheremkhin, Quantum Electron. 50, 667 (2020).
R. W. Gerchberg and W. O. Saxton, Optik 2, 237 (1969).
A. P. Bondareva, P. A. Cheremkhin, N. N. Evtikhiev, V. V. Krasnov, V. G. Rodin, and S. N. Starikov, Proc. SPIE 9216, 92161J (2014).
V. V. Krasnov, Proc. SPIE 10022, 1002226 (2016).
J. R. Fienup, Appl. Opt. 36, 8352 (1997).
Funding
This work was financially supported by the Russian Science Foundation (RSF), grant no. 19-19-00498.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflict of interest.
Additional information
Translated by N. Petrov
Rights and permissions
About this article
Cite this article
Krasnov, V.V., Starikov, R.S. & Zlokazov, E.Y. A Method for Forming a Single Focused Diffraction Order Using Binary Amplitude Diffractive Elements without a Spatial Carrier. Opt. Spectrosc. 129, 511–516 (2021). https://doi.org/10.1134/S0030400X21040147
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0030400X21040147