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Scintillation and bit error rate calculation of Mathieu–Gauss beam in turbulence

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Abstract

We present on-axis, aperture averaged scintillation, and bit error rate performance of Mathieu–Gauss beams (MGB). We model atmosphere utilizing random phase screen. Our investigations show that scintillation indexes of both odd and even modes of MGBs are less than Gauss beam. In the comparison of odd and even modes, odd modes draw the attention with its less scintillation index. In case of aperture averaged scintillation, all types of MGBs are advantageous comparing with Gauss beam but this advantage vanishes with increase in receiver aperture opening. Mitigation in scintillation index brings us 10−6 times lesser bit error rate (BER) than Gauss beam.

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References

  • Alvarez-Elizondo MB, Rodriguez-Masegosa R, Gutierrez-Vega JC (2008) Generation of Mathieu–Gauss modes with an axicon-based laser resonator. Opt Express 16:18770–18775

    Article  Google Scholar 

  • Andrews LC (2005) Laser beam propagation through random media. SPIE, Washington

    Book  Google Scholar 

  • Andrews LC, Philips RL (2004) Free space optical communication link and atmospheric effects: single aperture and arrays. In: Free-space laser communication technologies XVI. https://doi.org/10.1117/12.556737

  • Andrews LC, Al-Habash MA, Hopen CY, Phillips RL (2001) Theory of optical scintillation: Gaussian-beam wave model. Wave Random Complex 11:271–291

    MATH  Google Scholar 

  • Arpali SA, Eyyuboglu HT, Baykal Y (2008) Bit error rates for general beams. Appl Opt 47:5971–5975

    Article  Google Scholar 

  • Bandres MA, Gutierrez-Vega JC, Chavez-Cerda S (2004) Parabolic nondiffracting optical wave fields. Opt Lett 29:44–46

    Article  Google Scholar 

  • Barcelo-Chong A, Estrada-Portillo B, Canales-Benavides A, Lopez-Aguayo S (2018) Asymmetric Mathieu beams. Chin Opt Lett 16:122601

    Article  Google Scholar 

  • Baykal Y, Eyyuboğlu HT, Cai Y (2008) Incoherent sinusoidal-Gaussian and annular beam scintillations. In: Fourteenth international symposium on atmospheric and ocean optics/atmospheric physics, pp 69360B

  • Bayraktar M (2019) Estimation of scintillation and bit error rate performance of sine hollow beam via random phase screen. Optik 188:147–154

    Article  Google Scholar 

  • Bayraktar M, Eyyuboglu HT (2019) Propagation properties of optical bottle beam in turbulence. Opt Eng 58:036104

    Article  Google Scholar 

  • Chafiq A, Hricha Z, Belafhal A (2006) A detailed study of Mathieu–Gauss beams propagation through an apertured ABCD optical system. Opt Commun 265:594–602

    Article  Google Scholar 

  • Durnin J, Miceli JJ, Eberly JH (1987) Diffraction-free beams. Phys Rev Lett 59:2612

    Article  Google Scholar 

  • Eyyuboglu HT (2013a) Estimation of aperture averaged scintillations in weak turbulence regime for annular, sinusoidal and hyperbolic Gaussian beams using random phase screen. Opt Laser Technol 52:96–102

    Article  Google Scholar 

  • Eyyuboglu HT (2013b) Scintillation analysis of hypergeometric Gaussian beam via phase screen method. Opt Commun 309:103–107

    Article  Google Scholar 

  • Eyyuboglu HT (2013c) Scintillation behavior of Airy beam. Opt Laser Technol 47:232–236

    Article  Google Scholar 

  • Eyyuboglu HT (2015a) Apertured averaged scintillation of fully and partially coherent Gaussian, annular Gaussian, flat toped and dark hollow beams. Opt Commun 339:141–147

    Article  Google Scholar 

  • Eyyuboglu HT (2015b) Per unit received power apertured averaged scintillation of partially coherent sinusoidal and hyperbolic Gaussian beams. Opt Laser Technol 71:55–62

    Article  Google Scholar 

  • Eyyuboglu HT, Bayraktar M (2015) SNR bounds of FSO links and its evaluation for selected beams. J Mod Opt 62:1316–1322

    Article  Google Scholar 

  • Fried DL, Seidman JB (1967) Laser beam scintillation in the atmosphere. J Opt Soc Am 57:181–185

    Article  Google Scholar 

  • Gercekcioglu H, Baykal Y (2013) BER of annular and flat-topped beams in non-Kolmogorov weak turbulence. Opt Commun 286:30–33

    Article  Google Scholar 

  • Gercekcioglu H, Baykal Y (2014) Scintillation and BER for optimum sinusoidal Gaussian beams in weak non-Kolmogorov turbulence. Opt Commun 320:1–5

    Article  Google Scholar 

  • Gerçekçioğlu H, Baykal Y, Eyyuboğlu HT (2010) BER of annular beams in strong turbulence. In: Applications of lasers for sensing and free space communications 2010, paper LSTuA4

  • Gradshteyn IS, Ryzhik IM (2015) Table of integrals, series, and products. Academic Press, Amsterdam

    MATH  Google Scholar 

  • Gutierrez-Vega JC, Bandres MA (2007) Normalization of the Mathieu–Gauss optical beams. J Opt Soc Am A 24:215–220

    Article  Google Scholar 

  • Gutierrez-Vega JC, Iturbe-Castillo MD, Chavez-Cerda S (2000) Alternative formulation for invariant optical fields: Mathieu beams. Opt Lett 25:1493–1495

    Article  Google Scholar 

  • Gutierrez-Vega JC, Iturbe-Castillo MD, Ramirez GA, Tepichin E, Rodriguez-Dagnino RM, Chavez-Cerda S, New GHC (2001) Experimental demonstration of optical Mathieu beams. Opt Commun 195:35–40

    Article  Google Scholar 

  • Gutiérrez-Vega JC, Iturbe-Castillo MD, Tepichin E, Ramírez G, Rodríguez-Dagnino RM, Chávez-Cerda S (2000) New member in the family of propagation-invariant optical fields: Mathieu beams. Opt Photonics News 11:37–38

    Article  Google Scholar 

  • Hernandez-Aranda RI, Gutierrez-Vega JC, Guizar-Sicairos M, Bandres MA (2006) Propagation of generalized vector Helmholtz-Gauss beams through paraxial optical systems. Opt Express 14:8974–8988

    Article  Google Scholar 

  • Hernandez-Hernandez RJ, Terborg RA, Ricardez-Vargas I, Volke-Sepulveda K (2010) Experimental generation of Mathieu–Gauss beams with a phase-only spatial light modulator. Appl Opt 49:6903–6909

    Article  Google Scholar 

  • Li HR, Yin JP (2011) Generation of a vectorial Mathieu-like hollow beam with a periodically rotated polarization property. Opt Lett 36:1755–1757

    Article  Google Scholar 

  • Lopez-Mariscal C, Gutierrez-Vega JC, Milne G, Dholakia K (2006) Orbital angular momentum transfer in helical Mathieu beams. Opt Express 14:4182–4187

    Article  Google Scholar 

  • Noriega-Manez RJ, Gutierrez-Vega JC (2007) Rytov theory for Helmholtz-Gauss beams in turbulent atmosphere. Opt Express 15:16328–16341

    Article  Google Scholar 

  • Öztan MA, Baykal Y (2010) Scintillation index of partially coherent asymmetrical multi Gaussian beams in extremely strong turbulence. In: National conference on electrical, electronics and computer engineering, pp 433–437

  • Priyalakshmi B, Mahalakshmi K (2020) Performance analysis of video transmission in vertical-UWOC link in mid-sea oil rig IoT systems. J Ambient Intell Human Comput. https://doi.org/10.1007/s12652-020-02081-0

    Article  Google Scholar 

  • Qian XM, Zhu WY, Rao RZ (2009) Numerical investigation on propagation effects of pseudo-partially coherent Gaussian Schell-model beams in atmospheric turbulence. Opt Express 17:3782–3791

    Article  Google Scholar 

  • Rao RZ (2008) Statistics of the fractal structure and phase singularity of a plane light wave propagation in atmospheric turbulence. Appl Opt 47:269–276

    Article  Google Scholar 

  • Ren ZJ, Hu HH, Peng BJ (2018) Generation of Mathieu beams using the method of ‘combined axicon and amplitude modulation’. Opt Commun 426:226–230

    Article  Google Scholar 

  • Schmidt JD (2010) Numerical simulation optical wave propagation with examples in MATLAB. SPIE, Washington

    Book  Google Scholar 

  • Sumathi K, Balasaraswathi M, Boopathi CS, Singh M, Malhotra J, Dhasarathan V (2020) Design of 3.84 Tbps hybrid WDM–PDM based inter-satellite optical wireless communication (IsOWC) system using spectral efficient orthogonal modulation scheme. J Ambient Intell Human Comput. https://doi.org/10.1007/s12652-020-01691-y

    Article  Google Scholar 

  • Yao M (2009) Scintillation index of astigmatic annular beams in a turbulent atmosphere. Optik 120:824–828

    Article  Google Scholar 

  • Zhang YL, Ma DL, Zhou ZY, Yuan XH (2017) Research on partially coherent flat-topped vortex hollow beam propagation in turbulent atmosphere. Appl Opt 56:2922–2926

    Article  Google Scholar 

Download references

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Correspondence to Mert Bayraktar.

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Bayraktar, M. Scintillation and bit error rate calculation of Mathieu–Gauss beam in turbulence. J Ambient Intell Human Comput 12, 2671–2683 (2021). https://doi.org/10.1007/s12652-020-02430-z

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