Computer Generated Quadratic and Higher Order Apertures and Its Application on Numerical Speckle Images
Abdallah Mohamed Hamed
DOI: 10.4236/opj.2011.12007   PDF    HTML     5,201 Downloads   8,761 Views   Citations


A computer generated quadratic and higher order apertures are constructed and the corresponding numerical speckle images are obtained. Secondly, the numerical images of the autocorrelation intensity of the randomly distributed object modulated by the apertures and the corresponding profiles are obtained. Finally, the point spread function (PSF) is computed for the described modulated apertures in order to improve the resolution.

Share and Cite:

Hamed, A. (2011) Computer Generated Quadratic and Higher Order Apertures and Its Application on Numerical Speckle Images. Optics and Photonics Journal, 1, 43-51. doi: 10.4236/opj.2011.12007.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] J. J. Clair and A. M. Hamed, “Theoretical Studies on Optical Coherent Microscope,” Optik, Vol. 64, No. 2, 1983, pp. 133-141.
[2] A. M. Hamed and J. J. Clair, “Image and Super-Resolution in Optical Coherent Microscopes,” Optik, Vol. 64 , No. 4, 1983, pp. 277-284.
[3] A. M. Hamed and J. J. Clair, “Studies on Optical Properties of Confocal Scanning Optical Microscope Using Pupils with Radial Transmission,” Optik, Vol. 65, No. 3, 1983, pp. 209-218.
[4] A. M. Hamed, “Resolution and Contrast in Confocal Optical Scanning Microscopes,” Optics and Laser Technology, Vol. 16, No. 2, 1984, pp. 93-96. doi:10.1016/0030-3992(84)90061-6
[5] A. M. Hamed, “A Study on Amplitude Modulation and an Application on Confocal Imaging,” Optik, Vol. 107 No. 4, 1998, pp. 161-164.
[6] T. Wilson, “Imaging Properties and Applications of Scanning Optical Microscopes,” Applied Physics, Vol. 22, No. 2, 1980, pp. 119-128. doi:10.1007/BF00885994
[7] C. J. R. Sheppard and A. Choudhary, “Image Formation in the Scanning Microscope,” Journal of Modern Optics, Vol. 24, No. 10, 1977, pp. 1051-1073.
[8] G. Nomarski, The Journal of the Optical Society of America. Vol. 65, No. 10, 1975, p. 1166.
[9] C. J. R. Sheppard and T. Wilson, “Image Formation In Scanning Microscopes with Partially Coherent Source and Detector,” Journal of Modern Optics, Vol. 25, No. 4, 1978, pp. 315-325.
[10] I. J. Cox, C. J. R. Sheppard and T. Wilson, “Improvement in Resolution by Nearly Confocal Microscopy,” Applied Optics, Vol. 21, No. 5, 1982, pp. 778-781. doi:10.1364/AO.21.000778
[11] A. M. Hamed, “Numerical Speckle Images Formed by Diffusers Using Modulated Conical and Linear Apertures,” Journal of Modern Optics, Vol. 56, No. 10, 2009, pp. 1174-1181. doi:10.1080/09500340902985379
[12] A. M. Hamed, “Formation of Speckle Images Formed For Diffusers Illuminated by Modulated Aperture (Circular Obstruction),” Journal of Modern Optics, Vol. 56, No. 15, 2009, pp. 1633-1642. doi:10.1080/09500340903277792
[13] R. D. Bahuguna, “Speckle Patterns of Weak Diffusers: Effect of Spherical Aberration,” Applied Optics, Vol. 19, No. 11, 1980, pp. 1874-1878. doi:10.1364/AO.19.001874
[14] H. El-Ghandoor and A. M. Hamed, “Strain Analysis Using TV Interferometer,” International Symposium on the Technologies for Optoelectronics Conference, Cannes, Vol. 683, No. 30, 1987.
[15] G. A. Slettemoen, “General Analysis of Fringe Contrast in Electronic Speckle Pattern Interferometer,” Optica Acta, Vol. 26, No. 3, 1979, pp. 313-327.
[16] G. A. Slettemoen, “Optimal Signal Processing in Electronic Speckle Pattern Interferometer (ESPI),” Optics Communications, Vol. 23, No. 2, 1977, pp. 213-216. doi:10.1016/0030-4018(77)90309-1
[17] R. S. Sirohi and A. R. Ganesan, “Holographic Systems, Components and Applications,” Proceedings of the 2nd International Conference on IEEE, 1989.
[18] Y. Z. Song and H. L. Zhang, etc., “Dynamic Digital Speckle Interferometry Applied to Optical Diagnosis of Gas-Liquid Phase Change,” The International Society for Optical Engineering, Vol. 4448, 2009, pp. 111-119.
[19] C. Greated, E. Lavinskaya and N. Fomin, “Numerical Simulation of Acoustical Wave Tracing,” Journal of Mathematical Modelling, Russian Academy of Science, Vol. 15, No. 7, 2003, pp. 75-80.
[20] J. W. Goodmann, “Introduction to Fourier Optics and Holography,” McGraw-Hill book Company, New York, 1968.
[21] J. D. Gaskill, “Linear Systems, Fourier Transforms, and Optics,” John Wiley &Sons, Inc., New York, 1978.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.