Hologram aberrations resulting from the violation of Bragg’s law and variations in the depth and shape of the profile of their surface gratings

Koreshev, S.N., Starovoytov, S.O.

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For Russian citation (Opticheskii Zhurnal):

Корешев С.Н., Старовойтов С.О. Аберрации голограмм, обусловленные нарушением закона Брэгга и вариациями глубины и формы профиля их поверхностной решетки // Оптический журнал. 2021. Т. 88. № 9. С. 28–34. http://doi.org/10.17586/1023-5086-2021-88-09-28-34

Koreshev S.N., Starovoitov S.O. Hologram aberrations resulting from the violation of Bragg’s law and variations in the depth and shape of the profile of their surface gratings [in Russian] // Opticheskii Zhurnal. 2021. V. 88. № 9. P. 28–34. http://doi.org/10.17586/1023-5086-2021-88-09-28-34

For citation (Journal of Optical Technology):

S. N. Koreshev and S. O. Starovoitov, "Hologram aberrations resulting from the violation of Bragg’s law and variations in the depth and shape of the profile of their surface gratings," Journal of Optical Technology. 88(9), 503-507 (2021). https://doi.org/10.1364/JOT.88.000503

Abstract:

Hologram aberrations resulting from the violation of Bragg’s law and variations in the depth and shape of the profile of their surface gratings are investigated. This study is conducted for specific cases of reflecting relief-phase holograms and lossless transmitting volume holograms. The commonly used and previously published assumption that the imaging properties of the hologram, including its aberrations, are fully determined by the pattern of the strata exposure on the hologram surface was shown to be generally true for reflecting relief-phase holograms and only partially true for transmitting volume holograms. For the latter, the deviations from Bragg’s law both in incidence angle and wavelength of the reconstructing beam can lead to significant aberrations in the ray beams transformed by the holographic optical elements. This study unambiguously demonstrates that the modules for calculating the aberrations caused by the deviations from Bragg’s law should be added to the software used to design optical systems with volume holographic optical elements.

Keywords:

holographic optical elements, imaging properties, hologram aberrations, Bragg’s law, volume holograms, relief-phase holograms

OCIS codes: 090.0090

References:

1. H. Caulfield, Optical Holography (Mir, Moscow, 1982).
2. E. R. Muslimov and N. K. Pavlycheva, “Complex use of analysis methods for coupled waves and ray tracing in design of spectrographs with volume phase diffraction gratings,” in Abstract Book of XVI International Conference on Holography and Applied Optical Technology (2019), pp. 365–373.
3. E. B. Champagne, “Nonparaxial imaging, magnification and aberration properties in holography,” J. Opt. Soc. Am. 57(1), 51–55 (1967).
4. M. Matsumura, “Analysis of wave-front aberrations caused by deformation of hologram media,” J. Opt. Soc. Am. 64(5), 677–681 (1974).
5. S. N. Koreshev and S. V. Gil’, “On the profile shape of low-frequency relief holographic structures based on thin layers of PE-2 photographic emulsion,” Opt. Spektrosk. 68(2), 422–426 (1990).
6. H. Kogelnik, “Coupled wave theory for thick hologram gratings,” Bell Syst. Tech. J. 48(9), 2909–2947 (1969).