Abstract
I constructed a new concentric black and white (B/W) hexagonal aperture, and we resized the image in a 1024 × 1024 pixel matrix using MATLAB code. I derived a new formula for the point spread function (PSF) corresponding to the B/W hexagonal aperture.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
J.W. Goodman, in Introduction to Fourier Optics (Roberts and Company Publishers, Englewood, 2005)
J.J. Clair, A.M. Hamed, Theoretical studies on the optical coherent microscope. Optik 64, 133–141 (1983)
A.M. Hamed, J.J. Clair, Image, and super resolution in optical coherent microscopes. Optik 64, 277–284 (1983)
A.M. Hamed, J.J. Clair, Studies on optical properties of confocal scanning optical microscope using pupils with radially transmission distribution. Optik 65, 209–218 (1983)
A.M. Hamed, Formation of speckle images formed for diffusers illuminated by modulated apertures (circular obstruction). J. Mod. Opt. 56, 1633–1642 (2009). https://doi.org/10.1080/09500340903277792
A.M. Hamed, Numerical speckle images formed by diffusers using modulated conical and linear apertures. J. Mod. Opt.Mod. Opt. 56(10), 1174–1181 (2009). https://doi.org/10.1080/09500340902985379
A.M. Hamed, Discrimination between speckle images using diffusers modulated by some deformed apertures: simulations. J. Opt. Eng. 50(1), 018202 (2011). https://doi.org/10.1117/1.3530085
A.M. Hamed, Study of graded index and truncated apertures using speckle images. Precis. Instrument. Mech. PIM 3, 144–152 (2014)
A.M. Hamed, Improvement of point spread function (PSF) using linear-quadratic aperture. Optik 131, 838–849 (2017). https://doi.org/10.1016/2016.11.201
R. HeintZman, T. Huser, Super resolution structured illumination microscopy. Chem. Rev. 117(23), 13890–13908 (2017) https://doi.org/10.1021/acs.chemrev.7b00218
S. Krishnendu, J. Joby, An overview of structured illumination microscopy: recent advances and perspectives. J. Opt. 23 (2021) https://doi.org/10.1088/2040-8986/ac3675
Q. Jian, H. Xu, M. Ang, et al., Stochastic optical reconstruction microscopy. Curr. Protocol Cytom. 81 (2017). https://doi.org/10.1002/cpcy.23
C.J.R. Sheppard, The development of microscopy for super-resolution. Appl. Sci. 11, 8981 (2021). https://doi.org/10.3390/11198981
A.M. Hamed, Application of a hexagonal aperture on the confocal scanning laser microscope. Opt. Quant. Electron.Electron. 55, 749 (2023). https://doi.org/10.1007/s11082-023-04920-8
S. Itoh, T. Matsuo et al., Point spread function of hexagonally segmented telescopes by new symmetrical formulation. MNRAS 483, 119–131 (2019)
A.M. Mohamed, S.H. Mohsen, et al.: A hexagonal aperture to reduce spherical aberration. Neuro Quantol. 20(6), 2599 (2022)
E. Sabatke, J. Burge et al., Analytic diffraction analysis of a 32-m telescope with hexagonal segments for high-contrast imaging. Appl. Opt. 44(8), 1360–1365 (2005)
A. Deng, Y. Zheng et al., Improved spatial resolution using focal modulation microscopy with a Tai Chi aperture. Opt. Express 29(12), 18263–18276 (2021). https://doi.org/10.1364/OE.426600
N. Chen, C.H. Wong, C.J.R. Sheppard, Focal modulation microscopy. Opt. Express 16(23), 18764–18769 (2008)
W. Gong, K. Si, N. Chen, C.J.R. Sheppard, Improved spatial resolution in fluorescence focal modulation microscopy. Opt. Lett. 34(22), 3508–3510 (2009). https://doi.org/10.1364/OL.34.003508
C. Wu, Y. Zheng et al., Improvements with divided cosine-shaped apertures in confocal microscopy. Opt. Commun.Commun. 442, 71–76 (2019)
K. Si, W. Gong, N. Chen, C.J.R. Sheppard, Enhanced background rejection in thick tissue using focal modulation microscopy with quadrant apertures. Opt. Commun. 284(5), 1475–1480 (2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Hamed, A. (2024). Speckle Images Using Concentric Black and White Hexagonal Pupils. In: Speckle Imaging Using Aperture Modulation. SpringerBriefs in Applied Sciences and Technology. Springer, Cham. https://doi.org/10.1007/978-3-031-58300-1_7
Download citation
DOI: https://doi.org/10.1007/978-3-031-58300-1_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-58299-8
Online ISBN: 978-3-031-58300-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)