The back focal length and diameters of M12 / S Mount lenses are frequently incompatible with CS and C Mount cameras, resulting in a lens-to-mount combination ...

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Gaussianbeamq parameter

S.K.S. acknowledges the Ministry of Education, Sports, and Culture of Japan (MEXT) scholarship provided by the Japanese Government for his studies at the Kyoto Institute of Technology.

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2019819 — It's not clear who invented the first microscope, but the Dutch spectacle maker Zacharias Janssen (b.1585) is credited with making one of the ...

Siviloglou, G.A., Christodoulides, D.N.: Accelerating finite energy airy beams. Opt. Lett. 32(8), 979–981 (2007). https://doi.org/10.1364/OL.32.000979

S.K.S and B.J.J conceived the idea, S.K.S did the simulations and experiments, K.K, N.T and W.S helped with the experiments and provided suggestions, S.K.S wrote the main manuscript B.J.J supervised the research. All authors reviewed the manuscript.

Tricomi beams are structured light beams that belong to the general class of non-diffracting light beams. The cross-section of an ideal Tricomi beam extends upto infinity and hence the energy distribution in the transverse plane (beam cross-section) is not finitely bounded. But all real-world systems are finitely bound, which causes inconvenience in studying Tricomi beams practically. To overcome this issue we introduce Tricomi–Gauss beam for the first time, which possesses similar characteristics to Tricomi beams but with a finite beam cross-section. In this study, we derive the general expression for the Tricomi–Gauss beam and its propagation. We show that the derived equation can be used to study the propagation properties of a family of Bessel–Gauss beams only by setting the appropriate parameters to the derived equation. Simulation results show the intensity and phase profiles of the beams as they propagate through (i) free space (ii) lens system and (iii) fractional Fourier transform system. Interesting propagation characteristics were observed, especially in the case of the asymmetric Bessel–Gauss beam, which can be attributed to the choice of parameters. The advantages of Tricomi–Gauss beam are verified by practically generating the beams using computer-generated holography technique.

The authors have no competing interests as defined by Springer, or other interests that might be perceived to influence the results and/or discussion reported in this paper.

Kovalev, A.A., Kotlyar, V.V.: Lommel modes. Opt. Commun. 338, 117–122 (2015). https://doi.org/10.1016/j.optcom.2014.09.082

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Belafhal, A., Ez-Zariy, L., Hennani, S., et al.: Theoretical introduction and generation method of a novel nondiffracting waves: Olver beams. Opt. Photonics J. 5(07), 234 (2015). https://doi.org/10.4236/opj.2015.57023

Lu, D.Q.: Generalized Tricomi and Hermite–Tricomi functions. Appl. Math. Comput. 218(9), 5090–5098 (2012). https://doi.org/10.1016/j.amc.2011.10.074

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Wu, Q., Ren, Z.: Study of the nonparaxial propagation of asymmetric Bessel–Gauss beams by using virtual source method. Opt. Commun. 432, 8–12 (2019). https://doi.org/10.1016/j.optcom.2018.09.039

高斯光束

Singh, S.K., Kinashi, K., Tsutsumi, N. et al. Tricomi–Gauss beam and its propagation characteristics. Opt Quant Electron 55, 352 (2023). https://doi.org/10.1007/s11082-023-04626-x

El Halba, E., Boustimi, M., Ez-zariy, L., et al.: Propagation characteristics of Bessel-like beams through ABCD optical system. Opt. Quant. Electron. 49(8), 1–11 (2017). https://doi.org/10.1007/s11082-017-1099-z

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Forbes, A., de Oliveira, M., Dennis, M.R.: Structured light. Nat. Photonics 15(4), 253–262 (2021). https://doi.org/10.1038/s41566-021-00780-4

Mphuthi, N., Gailele, L., Litvin, I., et al.: Free-space optical communication link with shape-invariant orbital angular momentum Bessel beams. Appl. Opt. 58(16), 4258–4264 (2019). https://doi.org/10.1364/AO.58.004258

Besselbeam

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

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laguerre-gaussianbeam

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Singh, S.K., Haginaka, H., Jackin, B.J., et al.: Generation of Ince–Gaussian beams using Azocarbazole polymer CGH. J. Imaging 8(5), 144 (2022). https://doi.org/10.3390/jimaging8050144

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laguerre-gaussian modes

When the fiber core is so small that only light ray at 0° incident angle can stably pass through the length of fiber without much loss, this kind of fiber ...

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Cao, Z., Zhai, C., Xu, S., et al.: Propagation of on-axis and off-axis Bessel beams in a gradient-index medium. J. Opt. Soc. Am. A 35(2), 230–235 (2018). https://doi.org/10.1364/JOSAA.35.000230

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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

B+W polarizing filters are circular polarizers which are compatible with nearly all modern cameras when beam splitters are used in the light path for TTL ...

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COMSOL Gaussianbeam

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May 10, 2023 — Wondering how to identify polarized sunglasses? Read Dr. Henslick Vision Center's blog to learn about polarized lenses and how to identify ...

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MTF curves and Image appearance ... Modulation Transfer Function (MTF) is a fundamental measure of imaging system sharpness. It is introduced in Sharpness and ...

Durnin, J.: Exact solutions for nondiffracting beams. I. The scalar theory. J. Opt. Soc. Am. A 4(4), 651–654 (1987). https://doi.org/10.1364/JOSAA.4.000651