Propagation of Bessel-Gaussian Shell-model beam through a jet engine exhaust turbulence

Nabil, H.; Balhamri, Adil; Belafhal, A.

doi:10.1007/s11082-022-03743-3

Cited by 9 publications

(3 citation statements)

References 32 publications

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“…To solve the integrals in equation ( 4) it has been simplified, and many binomial expansion operations have been applied where necessary for this simplification. After the operations, equation (4) became equation (9). In equations (9), 6.866.1 given in [25] is applied and as a result, the result is s = 0.…”

Section: Derivation Of Rytov Variancementioning

confidence: 99%

“…Another study [8] showed that low-coherence Gaussian Schell-model sources can effectively reduce the turbulence anisotropy caused by jet engine exhaust. In the study using the Bessel-Gaussian Schell model beam, it was also found that fully coherent beams are more sensitive to turbulence than partially coherent beams [9]. The quality factor of a partially coherent Airy laser beam in turbulent media from a jet engine is analyzed by numerical calculations.…”

Section: Introductionmentioning

confidence: 99%

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Derivation of Rytov variance for jet engine-induced turbulence

Oktay,

Bayraktar,

Tabaru

et al. 2024

Phys. Scr.

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In this study, we analytically derived the Rytov variance and scintillation index value of turbulence caused by jet engines. In addition, we analyzed the variation characteristics of the Rytov variance and scintillation index values numerically depending on the variations in turbulence strength, experimental data, and wavelength. We observe that Rytov variance reaches up to high values due to the strong turbulence resulting from high refractive index fluctuations. This result brings high-intensity fluctuations regardless of the anisotropy of the turbulence. Rytov variance is directly proportional to turbulence strength. We present scintillation index curves considering the aperture averaged case. We plot our results considering the variations in the operating wavelength, turbulence strength, and the scaling parameter. According to our results, we think that it will be useful for a system such as directed infrared countermeasure (DIRCM), which is highly sensitive and should be exposed to minimum turbulence in the field of use. Since DIRCMs transmit codes to paralyze the missile's seeker, intensity fluctuations play a vital role during this transmission. It could reduce the performance of these systems when intensity fluctuations are high.

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Section: Derivation Of Rytov Variancementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Derivation of Rytov variance for jet engine-induced turbulence

Oktay,

Bayraktar,

Tabaru

et al. 2024

Phys. Scr.

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“…Recently, it was found that regulating the correlation structure of laser beams can effectively reduce the impact of atmospheric turbulence [28]. Under this motivation, the propagation characteristics in atmospheric turbulence induced by jet engines were studied for different coherence structures, such as multi-Gaussian correlation [29], Bessel-Gaussian correlation [30], and Laguerre-Gaussian correlation [31,32] of low-coherence light. It should be pointed out that all these laser beams are assumed to propagate along a straight line in free space.…”

Section: Introductionmentioning

confidence: 99%

Laser Beam Quality of Airy Beam in the Jet Engine Exhaust Induced Turbulence

Wen,

Zhang

2023

Atmosphere

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Theoretical predictions of laser beam interactions with jet-engine-exhaust-induced turbulence are of importance for optimization of various optical systems, including LIDARs and airborne laser measurement systems. This paper is based on the extended Huygens–Fresnel diffraction integral and the Wigner distribution function, combined with the recently proposed power spectral density function of atmospheric turbulence induced by jet engine exhaust, to derive the formula for the quality factor of a partially coherent Airy beam in turbulent media induced by jet engine exhaust. Numerical calculations based on the analytical formula show that the smaller the structure constant and outer scale of the atmospheric turbulence induced by jet engine exhaust, the smaller the quality factor of a partially coherent Airy beam, indicating better laser beam quality. At the same time, the larger the generalized parameter and inner scale of the jet-engine-exhaust-induced turbulence and the longer the wavelength of the laser beam, the smaller the corresponding quality factor. The numerical results also show that reducing the coherence length of a partially coherent Airy beam and increasing its characteristic width are beneficial for reducing the quality factor in the atmospheric turbulence induced by jet engines. However, the numerical results show that increasing the coherence length of a partially coherent Airy beam and reducing its characteristic width are beneficial for reducing the quality factor in vacuum. This situation demonstrates significant differences between the interaction mechanisms of an Airy beam in vacuum and in the jet-engine-exhaust-induced turbulence. The results of our discussion contribute to clarifying the mechanism of interaction between an Airy laser beam and random media, as well as the application of a curved Airy laser beam in practical situations.

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Propagation Characteristics of a Partially Coherent Gaussian Schell‐model Array Vortex Beam in the Joint Turbulence Effect of a Jet Engine and Atmosphere

Nabil,

Balhamri,

Bayraktar

et al. 2023

Annalen der Physik

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This work investigates the joint effects of jet engine exhaust‐induced turbulence and atmospheric turbulence on the propagation of a partially coherent Gaussian Schell‐model Array (GSMA) vortex beam. Using the two‐process propagation method, analytical formulae are derived for the cross‐spectral density, spectral density, degree of coherence, and beam width of the considered beam. The results show that the considered beam takes different shapes; when the spatial coherence is large, the spectral density of the GSMA vortex beam takes an elliptical shape, whereas when the spatial coherence is smaller, the spectral density remains a Gaussian shape. The evolution profile of the degree of coherence weakens gradually when the propagation distance, topological charge, and turbulence strength increase. Moreover, the profile of the degree of coherence takes the Gaussian profile when the propagation distance is longer or turbulence atmospheric is stronger. Furthermore, the results reveal that the corresponding beam spreads faster with a larger propagation distance, lower spatial coherence, and high‐strength turbulence. This study also concludes from the results that the beam is affected more when its propagation is near the jet engine exhaust, which means that this latter has a significant impact.

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Propagation of Bessel-Gaussian Shell-model beam through a jet engine exhaust turbulence

Cited by 9 publications

References 32 publications

Derivation of Rytov variance for jet engine-induced turbulence

Derivation of Rytov variance for jet engine-induced turbulence

Laser Beam Quality of Airy Beam in the Jet Engine Exhaust Induced Turbulence

Propagation Characteristics of a Partially Coherent Gaussian Schell‐model Array Vortex Beam in the Joint Turbulence Effect of a Jet Engine and Atmosphere

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