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Application of a hexagonal aperture on the confocal scanning laser microscope

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Abstract

We suggested the hexagonal aperture to compute the point spread function (PSF) by making use of scalar diffraction theory and Fourier operations. We have got an analytical formula for the PSF corresponding to the hexagonal aperture. We compared the PSF results with that computed by applying the Fast Fourier transform. Hence, we have got the spatial resolution from the cut-off corresponding to the PSF plot using the hexagonal aperture. In addition, we gave an application of hexagonal and circular apertures using the CSLM. Finally, we have got the reconstructed images using the CSLM provided with circular and hexagonal apertures.

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References

  • Goodman, J.W.: Introduction to Fourier Optics. Roberts and Company Publishers, Englewood (2005)

    Google Scholar 

  • Hamed, A.M.: Formation of speckle images formed for diffusers illuminated by modulated apertures (circular obstruction). J. Mod. Opt. 56, 1633–1642 (2009a). https://doi.org/10.1080/09500340903277792

    Article  ADS  MATH  Google Scholar 

  • Hamed, A.M.: Numerical speckle images formed by diffusers using modulated conical and linear apertures. J. Mod. Opt. 56, 1174–1181 (2009b). https://doi.org/10.1080/09500340902985379

    Article  ADS  MATH  Google Scholar 

  • Hamed, A.M.: Discrimination between speckle images using diffusers modulated by some deformed apertures: simulation. J. Opt. Eng. 50(1), 018202 (2011). https://doi.org/10.1117/1.3530085

    Article  ADS  Google Scholar 

  • Hamed, A.M.: Study of graded index and truncated apertures using speckle images. Precis. Instrum. Mech. PIM 3, 144–152 (2014)

    Google Scholar 

  • Hamed, A.M.: Improvement of point spread function (PSF) using linear-quadratic aperture. Optik 131, 838–849 (2017). https://doi.org/10.1016/j.ijleo.2016.11.201

    Article  ADS  Google Scholar 

  • Itoh, S., Matsuo, T., et al.: Point spread function of hexagonally segmented telescopes by new symmetrical formulation. MNRAS 483, 119–131 (2019)

    Article  ADS  Google Scholar 

  • Kharnoob, A., Hassan, A.F.: In: 2nd International Virtual Conference on Pure Science (2IVCPS). Journal of Physics: Conference Series 1999. 012047 IOP Publishing (2021). https://doi.org/10.1088/1742-6596/1999/1/012047

  • Mohamed, A.M., Mohsan, S.H. et al.: Hexagonal aperture to reduce spherical aberration. Neuro Quantol. 20(6), 2599–2602 (2022)

  • Petersen, T.C., et al.: Electron vortex production and control using aberration-induced diffraction catastrophes. Phys. Rev. Lett. 110(3), 033901 (2013)

    Article  ADS  Google Scholar 

  • Sabatke, E., Burge, J., Sabatke, D.: Analytic diffraction analysis of a 32-m telescope with hexagonal segments for high-contrast imaging. Appl. Opt. 44(8), 1360–1365 (2005)

    Article  ADS  Google Scholar 

  • Zeiders, G.W., Montgomery, E.E.: In: Space Telescopes and Instruments V, p. 799 (1998)

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AMH contribution on the Application of the hexagonal aperture on the Confocal Scanning Laser Microscope.

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Correspondence to A. M. Hamed.

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Hamed, A.M. Application of a hexagonal aperture on the confocal scanning laser microscope. Opt Quant Electron 55, 749 (2023). https://doi.org/10.1007/s11082-023-04920-8

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  • DOI: https://doi.org/10.1007/s11082-023-04920-8

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