Skip to main content
Top
Published in: Optical and Quantum Electronics 8/2019

01-08-2019

Propagation characteristics of dark and antidark Gaussian beams in turbulent atmosphere

Authors: M. Yaalou, E. M. El Halba, Z. Hricha, A. Belafhal

Published in: Optical and Quantum Electronics | Issue 8/2019

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this work, we investigated theoretically the propagation characteristics of dark and antidark Gaussian beams (DADGBs) in turbulent atmosphere. Based on the Huygens–Fresnel diffraction integral and by mean of the expansion form of a hard aperture function into a finite sum of Gaussian functions we derived analytically the on-axis intensity distribution of an apertured DADGB propagating in turbulent atmosphere. The dependence of the axial intensity distribution on the turbulent strength and on the parameters of the beam is illustrated with numerical examples. The results show that the axial intensity decreases rapidly when the turbulent strength parameter is large, and the propagation distance is shorter for large wavelengths and for small beam waist width.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference Abramowitz, M., Stegun, I.A. (eds.): Handbook of Mathematical Functions. National Bureau of Standards, Washington (1964)MATH Abramowitz, M., Stegun, I.A. (eds.): Handbook of Mathematical Functions. National Bureau of Standards, Washington (1964)MATH
go back to reference Andrews, L.C., Philips, R.L.: Laser Beam Propagation Through Random Media. SPIE Press, Washington (1998) Andrews, L.C., Philips, R.L.: Laser Beam Propagation Through Random Media. SPIE Press, Washington (1998)
go back to reference Born, M., Wolf, E.: Principles of Optics, 7 (expanded) edn. Cambridge University Press, Cambridge (1999)CrossRef Born, M., Wolf, E.: Principles of Optics, 7 (expanded) edn. Cambridge University Press, Cambridge (1999)CrossRef
go back to reference Boufalah, F., Dalil-Essakali, L., Ez-Zariy, L., Belafhal, A.: Introduction of generalized Bessel–Laguerre–Gaussian beams and its central intensity traveling a turbulent atmosphere. Opt. Quantum Electron. 50, 305–325 (2018)CrossRef Boufalah, F., Dalil-Essakali, L., Ez-Zariy, L., Belafhal, A.: Introduction of generalized Bessel–Laguerre–Gaussian beams and its central intensity traveling a turbulent atmosphere. Opt. Quantum Electron. 50, 305–325 (2018)CrossRef
go back to reference Cai, Y., He, S.: Propagation of various dark hollow beams in a turbulent atmosphere. Opt. Express 14, 1353–1367 (2006)ADSCrossRef Cai, Y., He, S.: Propagation of various dark hollow beams in a turbulent atmosphere. Opt. Express 14, 1353–1367 (2006)ADSCrossRef
go back to reference Cang, J., Zhang, Y.: Axial intensity distribution of truncated Bessel–Gauss beams in a turbulent atmosphere. Optik 121, 239–245 (2010)ADSCrossRef Cang, J., Zhang, Y.: Axial intensity distribution of truncated Bessel–Gauss beams in a turbulent atmosphere. Optik 121, 239–245 (2010)ADSCrossRef
go back to reference Gradshteyn, I.S., Ryzhik, I.M.: Tables of Integrals, Series, and Product, 5th edn. Academic Press, New York (1994)MATH Gradshteyn, I.S., Ryzhik, I.M.: Tables of Integrals, Series, and Product, 5th edn. Academic Press, New York (1994)MATH
go back to reference Hyde, M.W., Avramov-Zumarovic, S.: Generating dark and antidark beams using the genuine cross-spectral density function criterion. JOSA A 36, 1058–1063 (2019)ADSCrossRef Hyde, M.W., Avramov-Zumarovic, S.: Generating dark and antidark beams using the genuine cross-spectral density function criterion. JOSA A 36, 1058–1063 (2019)ADSCrossRef
go back to reference Khannous, F., Boustimi, M., Nebdi, H., Belafhal, A.: Theoretical investigation on the Hollow Gaussian beams propagating in atmospheric turbulent. Chin. J. Phys. 54, 194–204 (2016)MathSciNetCrossRef Khannous, F., Boustimi, M., Nebdi, H., Belafhal, A.: Theoretical investigation on the Hollow Gaussian beams propagating in atmospheric turbulent. Chin. J. Phys. 54, 194–204 (2016)MathSciNetCrossRef
go back to reference Korotkova, O., Gbur, G.: Propagation of beams with any spectral, coherence and polarization properties in turbulent atmosphere. Proc-SPIE6457 64570J1–64570J12 (2007) Korotkova, O., Gbur, G.: Propagation of beams with any spectral, coherence and polarization properties in turbulent atmosphere. Proc-SPIE6457 64570J1–64570J12 (2007)
go back to reference Noriega-Manez, R.J., Gutiérrez-Vega, J.C.: Rytov theory for Helmholtz–Gauss beams in turbulent atmosphere. Opt. Express 15, 16328–16341 (2007)ADSCrossRef Noriega-Manez, R.J., Gutiérrez-Vega, J.C.: Rytov theory for Helmholtz–Gauss beams in turbulent atmosphere. Opt. Express 15, 16328–16341 (2007)ADSCrossRef
go back to reference Ponomarenko, S.A., Huang, W., Cada, M.: Dark and antidark diffraction-free beams. Opt. Lett. 32, 2508–2510 (2007)ADSCrossRef Ponomarenko, S.A., Huang, W., Cada, M.: Dark and antidark diffraction-free beams. Opt. Lett. 32, 2508–2510 (2007)ADSCrossRef
go back to reference Saad, F., Belafhal, A.: Conical diffraction of dark and antidark beams modulated by a Gaussian profile in biaxial crystals. Optik 154, 344–353 (2018)ADSCrossRef Saad, F., Belafhal, A.: Conical diffraction of dark and antidark beams modulated by a Gaussian profile in biaxial crystals. Optik 154, 344–353 (2018)ADSCrossRef
go back to reference Saad, F., El Halba, E.M., Belafhal, A.: A theoretical study of the on-axis average intensity of Generalized spiraling Bessel beams in a turbulent atmosphere. Opt. Quantum Electron. 49, 94–106 (2017)CrossRef Saad, F., El Halba, E.M., Belafhal, A.: A theoretical study of the on-axis average intensity of Generalized spiraling Bessel beams in a turbulent atmosphere. Opt. Quantum Electron. 49, 94–106 (2017)CrossRef
go back to reference Wen, J., Breazeale, M.: A diffraction beam field expressed as the superposition of Gaussian beams. J. Acoust. Soc. Am. 83, 1752–1756 (1988)ADSCrossRef Wen, J., Breazeale, M.: A diffraction beam field expressed as the superposition of Gaussian beams. J. Acoust. Soc. Am. 83, 1752–1756 (1988)ADSCrossRef
go back to reference Zhu, X., Wang, F., Zhao, C., Cai, Y., Ponomarenko, S.A.: Experimental realization of dark and antidark diffraction-free beams. Opt. Lett. 44, 2260–2263 (2019)ADSCrossRef Zhu, X., Wang, F., Zhao, C., Cai, Y., Ponomarenko, S.A.: Experimental realization of dark and antidark diffraction-free beams. Opt. Lett. 44, 2260–2263 (2019)ADSCrossRef
Metadata
Title
Propagation characteristics of dark and antidark Gaussian beams in turbulent atmosphere
Authors
M. Yaalou
E. M. El Halba
Z. Hricha
A. Belafhal
Publication date
01-08-2019
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 8/2019
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-019-1972-z

Other articles of this Issue 8/2019

Optical and Quantum Electronics 8/2019 Go to the issue