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Numerical Investigation of Diffraction Patterns of Small Size Apertures Using Light Sources From Xuv to The Visible Region: Simulation for The Small Size Structures

Year 2023, Volume: 44 Issue: 2, 377 - 383, 30.06.2023
https://doi.org/10.17776/csj.1185157

Abstract

In the present work, a computer simulation program generates Fresnel diffraction patterns from small-size apertures using illumination wavelengths from extreme ultraviolet (XUV) to the visible region suggesting that it can be used to model a wide range of experimental setups. By being able to simulate diffraction patterns for such a broad range of wavelengths, the program can be used to investigate the effects of varying wavelengths and aperture size on the resulting pattern. By using a computer simulation program that can generate Fresnel diffraction patterns across a wide range of wavelengths, one can explore how different wavelengths of light interact with various aperture sizes. This allows one to investigate the effects of changing these parameters on the resulting diffraction pattern. The computer simulation program generating Fresnel diffraction patterns from square apertures by using the illumination wavelength sources from XUV to the visible region has been studied. Changing the aperture-screen distance, the illumination wavelength, and the aperture size provides a clear transition of diffraction patterns from the Fresnel to the Fraunhofer region. The diffraction patterns obtained by the Fresnel integral method have been compared with that simulated by the Fraunhofer calculation. There is a good agreement between the results. The structural similarity index (SSI) exhibits that comparing the diffraction images produced with both approaches agree.

Supporting Institution

the Scientific Research Project Fund of Sivas Cumhuriyet University under project number.

Project Number

M-2021-819

Thanks

This work is supported by the Scientific Research Project Fund of Sivas Cumhuriyet University under project number [M-2021-819].

References

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Year 2023, Volume: 44 Issue: 2, 377 - 383, 30.06.2023
https://doi.org/10.17776/csj.1185157

Abstract

Project Number

M-2021-819

References

  • [1] Goodman, J. W.: Introduction To Fourier Optics. McGraw-Hill Science, McGraw-Hill Science (1996).
  • [2] Born, M., Wolf, E.: Principles of Optics: Electromagnetic Theory of Propagation Interference and Diffraction of Light. Cambridge University (1999).
  • [3] Ball, C. J.: An Introduction to the Theory of diffraction. Pergamon Press, New York (1971).
  • [4] Rudolf, P. G., Tollett, J. J., McGowan, R. R.: Computer modeling wave propagation with a variation of the Helmholtz-Kirchhoff relation. Appl. Opt. 29, 998-1003 (1990).
  • [5] Räsänen, J., Abedin, K. M., Kawazoe, M., Tenjimbayashi, K., Eiju, T., Matsuda, K., Peiponen, K. E.: Computer simulation of the scatter plate interferometer by scalar diffraction theory. Appl. Opt. 36, (1997) 5335-5339.
  • [6] Dodds, S. A.: An optical diffraction experiment for the advanced laboratory. Am. J. Phys. 58, (1990) 663.
  • [7] Dauger, D. E.: Simulation and study of Fresnel diffraction for arbitrary two‐dimensional apertures. Comput. Phys. 10, (1996) 591-604.
  • [8] Trester, S.: Computer-simulated Fresnel diffraction using the Fourier transform. Comput. Sci. Eng. 1, (1999) 77-83.
  • [9] MATLAB version 9.3.0.713579. The Mathworks, Natick, Massachusetts (2017).
  • [10] Abedin, K. M., Islam, M. R., Haider, A. F. M. Y.: Computer simulation of Fresnel diffraction from rectangular apertures and obstacles using the Fresnel integrals approach. Opt. Laser Technol. 39, (2007) 237-246.
  • [11] Hecht, E.: Optics. Pearson (2016).
  • [12] JDíaz, J. A.: Comment on “Computer simulation of Fresnel diffraction from rectangular apertures and obstacles using the Fresnel integrals approach”. Opt. Laser Technol. 121, (2020) 105819.
  • [13] Seibert, M. M., Ekeberg, T., Maia, F. et al.: Single mimivirus particles intercepted and imaged with an X-ray laser. Nature 470, (2011) 78-81.
  • [14] Chapman, H., Fromme, P., Barty, A. et al.: Femtosecond X-ray protein nanocrystallography. Nature 470, (2011) 73-77.
  • [15] Helk, T., Zürch, M., Spielmann, C.: Perspective: Towards single shot time-resolved microscopy using short wavelength table-top light sources. Struct. Dynam. 6, (2019) 010902.
  • [16] Chapman, H., Barty, A., Bogan, M., et al.: Femtosecond diffractive imaging with a soft-X-ray free-electron laser. Nature Phys. 2, (2006) 839-843.
  • [17] Milathianaki, D., Boutet, S., Williams, G. J., et. al.: Femtosecond Visualization of Lattice Dynamics in Shock-Compressed Matter. Science 342, (2013) 220-223.
  • [18] Savin, D. W., Brickhouse, N. S., Cowan, J. J., et. al.: The impact of recent advances in laboratory astrophysics on our understanding of the cosmos. Rep. Prog. Phys. 75, (2012) 036901.
  • [19] Beye, M., Schreck, S., Sorgenfrei, F., Trabant, C., Pontius, N., Langeheine, C. S., Wurth, W., Föhlisch, A.: Stimulated X-ray emission for materials science. Nature 501, (2013) 191-194.
  • [20] Rudek, B., Son, SK., Foucar, L. et al.: Ultra-efficient ionization of heavy atoms by intense X-ray free-electron laser pulses. Nat. Photonics 6, (2012) 858-865.
  • [21] Lopez, M. R., Faenov, A., Pikuz, T. et. al.: Coherent X-ray beam metrology using 2D high-resolution Fresnel-diffraction analysis. J. Synchrotron Rad. 24, (2017) 196-204.
  • [22] Makris, K. G., Psaltis, D.: Huygens–Fresnel diffraction and evanescent waves. Opt. Commun. 284, (2011) 1686-1689.
  • [23] Cui, Y., Zhang, W., Wang, J., Zhang, M., Teng, S.: Fresnel diffraction of aperture with rough edge. J. Optics 17, (2015) 065607.
  • [24] Tan, J., Lu, Z., Liu, J., Jin, P., Wang, Y.: Analysis of Fraunhofer diffractive characteristics of a tilted metallic mesh for its effect on optical measurement. Meas. Sci. Technol. 18, (2007) 1703-1709.
  • [25] Abedin, K. M., Rahman, S. M. M.: Computer simulation of Fresnel diffraction from double rectangular apertures in one and two dimensions using the iterative Fresnel integrals method. Opt. Laser Technol. 44, (2012) 394-402.
  • [26] Zhang, Z., Bai, H., Yang, G., Jiang, F., Ren, Y., Li, J., Yang, K., Yang, H.: Computer simulation of Fraunhofer diffraction based on MATLAB. Optik 124, (2013) 4449-4451.
  • [27] Stevanovic, N., Markovic, V. M., Nikezic, D.: New method for determination of diffraction light pattern of the arbitrary surface. Opt. Laser Technol. 90, (2017) 90-95.
  • [28] Markovic, V. M., Stevanovic, N., Nikezic, D.: Propagation of light from dipole source and generalization of Fresnel-Kirchhoff integral. Optik 180, (2019) 447-454.
There are 28 citations in total.

Details

Primary Language English
Subjects Classical Physics (Other)
Journal Section Natural Sciences
Authors

Muhammed Sayraç 0000-0003-4373-6897

Emine Kaynar 0000-0002-0050-348X

Fatih Ungan 0000-0003-3533-4150

Project Number M-2021-819
Publication Date June 30, 2023
Submission Date October 6, 2022
Acceptance Date June 6, 2023
Published in Issue Year 2023Volume: 44 Issue: 2

Cite

APA Sayraç, M., Kaynar, E., & Ungan, F. (2023). Numerical Investigation of Diffraction Patterns of Small Size Apertures Using Light Sources From Xuv to The Visible Region: Simulation for The Small Size Structures. Cumhuriyet Science Journal, 44(2), 377-383. https://doi.org/10.17776/csj.1185157