Transformation of a generalized Bessel–Laguerre–Gaussian beam by a paraxial ABCD optical system

Boufalah, F.; Dalil-Essakali, L.; Belafhal, A.

doi:10.1007/s11082-019-1989-3

Cited by 15 publications

(7 citation statements)

References 29 publications

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“…The change in the flat top Gaussian beam profile intensity distribution after passing throw an ABCD matrix system was previously evaluated in refs. 23,24 . In ref.…”

Section: Introductionmentioning

confidence: 99%

“…The work presented in ref. 24 illustrates the differences in the propagation characteristics of various types of beam profiles such as the fundamental Gaussian, flat-topped Gaussian, Bessel-Gaussian, Generalized Bessel-Gaussian, and Laguerre-Gaussian beams through an ABCD optical system consisting of a free space propagation, a thin lens a Fractional Fourier transform system and a quadratic graded-index system.…”

Section: Introductionmentioning

confidence: 99%

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Effective reflectivity for flat and spherical external cavity semiconductor laser with multi spatial mode beam profile

Khairy,

Sabry,

Khalil

2024

Integrated Optics: Devices, Materials, and Technologies XXVIII

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External cavity semiconductor laser was extensively studied in academia and industry due to their ability to tune the laser output characteristics which is suitable for different applications. Previously reported models used effective reflectivity term to incorporate the external cavity interactions with the output beam profile as a plane wave. Despite the practical observations detecting the multi-beam spatial nature of the output profile for numerous laser structures. In this work, the effective reflectivity equation is investigated while considering the multi spatial beam profile. The emitted beam profile follows a flat top Gaussian distribution. The flat top Gaussian is segmented as the weighted sum of higher order Hermite Gaussian modes. The total coupling efficiency is investigated upon reflection from a flat and (50, 100, 200 μm) spherical mirror configurations with the aid of Huygens Fresnel integration and ABCD matrix. The simulation results indicate that the spherical mirror configurations achieve maximum coupling when placed at near and far positions from the emitted beam, while the flat mirror requires a near position to accomplish maximum coupling. For the flat mirror configuration, the effective coupling efficiency 3 dB coupling decreases by 76% when comparing a beam profile consisting of one beam to eight beam profile. A 100 μm spherical mirror results in similar behavior which is attributed to the diffraction phenomena. The effective reflectivity is calculated for both plane wave and multi spatial beams beam profiles where the effective reflectivity envelope was modulated by the coupling efficiency of multi spatial beams beam profiles.

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“…The change in the flat top Gaussian beam profile intensity distribution after passing throw an ABCD matrix system was previously evaluated in refs. 23,24 . In ref.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effective reflectivity for flat and spherical external cavity semiconductor laser with multi spatial mode beam profile

Khairy,

Sabry,

Khalil

2024

Integrated Optics: Devices, Materials, and Technologies XXVIII

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“…As an example, free-space optical communication systems which have increased their level of competition in broadband access networks. So fundamental research area is interested in studying the propagation of laser beams through paraxial optical systems as thin lens and FRFT system (Nossir 2020, Belafhal and Dalil-Essakali 2000, Monin and Ustinov 2018, Augustyniak et al 2020, Benzehoua et Belafhal 2023, Chib et al 2022, Boufalah, Essakali 2019). This later system was initially developed by Namias (Namias 1980) as a mathematical tool to address issues in quantum mechanics and later applied to the optics field by several researchers (Zhou 2009, Chen 2009, Mendlovic and Ozaktas 1993, Ozaktas and Mendlovic 1993.…”

Section: Introductionmentioning

confidence: 99%

Introduction of Bessel higher-order cosh-Gaussian beam and its propagation through a paraxial ABCD optical system

Nossir,

Dalil-Essakali,

Belafhal

2023

Opt Quant Electron

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In this paper, we introduce a new laser beam called Bessel higher-order cosh-Gaussian (BHChG) beam and analyzed its propagation properties through a paraxial ABCD optical system. The analytical expression of the diffracted beam is derived based on the extended Huygens-Fresnel integral and some numerical examples of BHChG beam propagating in a free space, through a thin lens and a Fractional Fourier transform (FRFT) system are exposed. The results reveal that the behavior of the output BHChG beam is affected by the optical system and the source beam parameters. The propagation of some laser beams through a paraxial ABCD optical system is deduced as particular case from the present study such as the fundamental Gaussian beam, the Bessel-Gaussian beam, the cosh-Gaussian beam, the Bessel-cosh-Gaussian beam and the Higher-order-cosh-Gaussian beam. The outcomes can be helpful for free-space optical communication, remote sensing and optical micromanipulation.

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“…In the last few decades, the dark hollow beams (DHBs) have attracted the attention of many authors because of their extensive applications in modern optics such as trapping of particles, optical communications, and guiding cold atoms [1][2][3][4]. Several models have been elaborated in the literature to describe the DHBs [5][6][7][8][9][10] by using various techniques such as the transverse mode selection [11], the optical holographic [12], the geometrical optical [13], the 2 computer-generated hologram [14], and the hollow optical fibers [15] methods, to mention but a few. In 2017 Zou et al [16] treated propagation characteristics of hollow sinh-Gaussian beams through the quadratic-index medium, and in 2021, Saad and Belafhal [17] studied the propagation of the hollow higher-order cosh-Gaussian (HhCG) beam through a quadratic index medium (QIM) and a Fractional Fourier transform (FRFT), they found that the intensity distribution of HhCG changes periodically during propagation in the QIM.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the modulation depth of some femtosecond laser pulses in holographic interferometry

2021

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On the basis of the modulation depth in the interference and holographic processes, we discuss in this paper the quality of holograms generated by some femtosecond laser pulses of two different colors. The modulation depth in terms of the fringe contrast (MDFC ratio) of Higher-order sh-and ch-Gaussian temporal profiles (sh n GTP and ch n GTP) are investigated in detail. It's shown that, when we use two lasers having a very large frequency detuning, the sh n GTP exhibit more precise results than the Gaussian beams for holography. sh n GTP give new areas of frequency detuning to realize the very significant value of the MDFC ratio for obtaining better holograms, which is impossible with Gaussian beams. It also permits flexibility in the variable frequency difference and pulse duration for good quality holograms, and in the case of the ch n GTP, null regions develop and frequency bands are observed favoring the formation of the holograms. The numerical simulations are presented to illustrate and discuss the influence of the frequency detuning, the beam order and the controller parameter of the waves on the modulation depths. The propose theory will be a good basis for the development of some new experiments on the holographic interferometry and it will certainly be very useful for the specialists of the studied femtosecond laser pulses.

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Transformation of a generalized Bessel–Laguerre–Gaussian beam by a paraxial ABCD optical system

Cited by 15 publications

References 29 publications

Effective reflectivity for flat and spherical external cavity semiconductor laser with multi spatial mode beam profile

Effective reflectivity for flat and spherical external cavity semiconductor laser with multi spatial mode beam profile

Introduction of Bessel higher-order cosh-Gaussian beam and its propagation through a paraxial ABCD optical system

Analysis of the modulation depth of some femtosecond laser pulses in holographic interferometry

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