nach oben

Optical and Quantum Electronics

Erschienen in:

01.08.2023

Analyzing the spectral characteristics of a pulsed Laguerre higher-order cosh-Gaussian beam propagating through a paraxial ABCD optical system

verfasst von: H. Benzehoua, A. Belafhal

Erschienen in: Optical and Quantum Electronics | Ausgabe 8/2023

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

The study focuses on the behavior of pulsed Laguerre higher-order cosh-Gaussian (LHChG) beam propagating through a paraxial ABCD optical system. The formula for propagation is derived using the extended Huygens-Fresnel principle and Fourier Transform method. The investigation analyzes how transverse positions and initial beam parameters affect the spectral intensity of the beam. It also examines the relative spectral shift of the beam at different radial coordinates through numerical calculations. The findings show that the spectral intensity is influenced by beam order and pulse duration. From our main results, one derives some particular cases of the considered beam such as the Laguerre cosh-Gaussian (LChG), Laguerre-Gaussian (LG), and Gaussian beams. Physical explanation for the spectral transition of the analyzed beam in a paraxial ABCD optical system is provided. The research has practical applications in information coding and transmission.

Nächster Artikel Stability analysis and dispersive optical solitons of fractional Schrödinger–Hirota equation

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren

Abramowitz, M., Stegun, I.: Handbook of mathematical functions with formulas, graphs, and mathematical tables. U. S., Department of Commerce, Washington (1970)MATH

Agrawal, G.P.: Far-field diffraction of pulsed optical beams in dispersive media. Opt. Commun. 167, 15–22 (1999)ADS

Bai, J., Pan, L., Ma, R., Zhao, Z., Lü, B.: Spectral anomalies of pulsed Hermite–cosh–Gaussian beams focused by an aperture lens. Optik 121, 132–137 (2010)ADS

Belafhal, A., Hricha, Z., Dalil-Essakali, L., Usman, T.: A note on some integrals involving Hermite polynomials and their applications. Adv. Math. Mod. Appl. 5, 313–319 (2020)

Benzehoua, H., Belafhal, A.: Effects of Hollow-Gaussian beams on Fresnel diffraction by an opaque disk. Quant. Electron. 55, 1–16 (2023)

Benzehoua, H., Dalil-Essakali, L., Belafhal, A.: Analysis of the modulation depth of femtosecond dark hollow laser pulses. Quant. Electron. 53, 1–18 (2021a)

Benzehoua, H., Dalil-Essakali, L., Belafhal, A.: Production of good quality holograms by the THz pulsed vortex beams. Quant. Electron. 54, 1–13 (2021b)

Brabec, T., Krausz, F.: Nonlinear optical pulse propagation in the single-cycle regime. Phys. Rev. Lett. 78, 3282–3285 (1997)ADS

Chib, S., Dalil-Essakali, L., Belafhal, A.: Propagation properties of a novel generalized flattened Hermite-cosh-Gaussian light beam. Quant. Electron. 52, 1–14 (2020)

Christov, I.P.: Propagation of femtosecond light pulses. Opt. Commun. 53, 364–366 (1985)ADS

Collins, S.A.: Lens-system diffraction integral written in terms of matrix optics. J. Opt. Soc. Am. 60, 1168–1177 (1970)ADS

Ebrahim, A.A.A., Saad, F., Swillam, M., Belafhal, A.: Propagation of the kurtosis parameter of Hollow higher-order Cosh Gaussian beams through paraxial optical ABCD system. Quant. Electron. 54, 196–209 (2022)

Ez-Zariy, L., Belafhal, A.: Propagation characteristics of Airy-Gaussian beams passing through a misaligned optical system with finite aperture. Opt. and Phot. J. 4, 325–336 (2014)ADS

Foley, J.T., Wolf, E.: Phenomenon of spectral switches as a new effect in singular optics with polychromatic light. J. Opt. Soc. Am. A 19, 2510–2516 (2002)ADS

Gbur, G., Visser, T.D., Wolf, E.: Anomalous behavior of spectra near phase singularities of focused waves. Phys. Rev. Lett. 88, 013901–013906 (2001)ADS

Han, P.: Lattice spectroscopy. Opt. Lett. 34, 1303–1305 (2009)ADS

Hennani, S., Ez-Zariy, L., Belafhal, A.: Propagation properties of finite Olver-Gaussian beams passing through a paraxial ABCD optical system. Opt. and Phot. J. 5, 273–294 (2015)ADS

Ji, X., Zhang, E., Lü, B.: Changes in the spectrum of Gaussian Schell-model beams propagating through turbulent atmosphere. Opt. Commun. 259, 1–6 (2006)ADS

Jo, J.H., Ri, S.G., Ju, T.Y., Pak, K.M., Hong, K.C.: Spectral behaviors of diffracted chirped Gaussian pulsed beam propagating in slant turbulent atmosphere path. Optik 244, 1–9 (2021)

Kandpal, H.C., Vaishya, J.S.: Experimental observation of the phenomenon of spectral switching for a class of partially coherent light. IEEE J. Quant. Electron. 38, 336–339 (2002)ADS

Liu, Z., Lü, B.: Spectral shifts and spectral switches in diffraction of ultrashort pulsed beams passing through a circular aperture. Optik 115, 447–454 (2004)ADS

Liu, D., Wang, Y., Wang, G., Yin, H., Wang, J.: The influence of oceanic turbulence on the spectral properties of chirped Gaussian pulsed beam. Opt. Laser Technol. 82, 76–81 (2016)ADS

Lü, B., Liu, Z.: Spatial and temporal properties of ultrashort pulses propagating in free space. J. Mod. Opt. 50, 815–823 (2003a)ADSMATH

Lü, B., Liu, Z.: Propagation properties of ultrashort pulsed Bessel beams in dispersive media. JOSA A 20, 582–587 (2003b)ADS

Mao, Y., Mei, Z., Gu, J.: Propagation of Gaussian Schell-model array beams in free space and atmospheric turbulence. Opt. Laser Technol. 86, 14–20 (2016)ADS

Nossir, N., Dalil-Essakali, L., Belafhal, A.: Propagation analysis of some doughnut lasers beams through a paraxial ABCD optical system. Quant. Electron. 52, 1–16 (2020)MATH

Pan, P.: Spectrum changes of rectangular array beams through turbulent atmosphere. Opt. Commun. 293, 95–101 (2013)ADS

Pan, L., Zhang, B.: Spectral shifts of partially coherent radial array beams passing through ABCD optical systems. Opt. Commun. 283, 2193–2201 (2010)ADS

Pan, L., Ding, C., Yuan, X.: Spectral shifts and spectral switches of twisted Gaussian Schell-model beams passing through an aperture. Opt. Commun. 274, 100–104 (2007)ADS

Porras, M.A.: Propagation of single-cycle pulsed light beams in dispersive media. Phys. Rev. A 60, 5069–5073 (1999a)ADS

Porras, M.A.: Non sinusoidal few-cycle pulsed light beams in free space. J. Opt. Soc. Am. B 16, 1468–1474 (1999b)ADS

Porras, M.A., Borghi, R., Santarsiero, M.: Few-optical cycle Bessel-Gauss pulsed beams in free space. Phys. Rev. E 62, 5729–5737 (2000)ADS

Pu, J., Zhang, H., Nemoto, S.: Spectral shifts and spectral switches of partially coherent light passing through an aperture. Opt. Commun. 162, 57–63 (1999)ADS

Pu, J., Cai, C., Nemoto, S.: Spectral anomalies in Young’s double-slit interference experiment. Opt. Exp. 12, 5131–5139 (2004)

Saad, F., Belafhal, A.: Propagation properties of Hollow higher-order cosh-Gaussian beams in quadratic index medium and fractional Fourier transform. Quant. Electron. 53, 1–16 (2021)

Tong, Z., Korotkova, O.: Spectral shifts and switches in random fields upon interaction with negative-phase materials. Phys. Rev. A 82, 013829–013834 (2010)ADS

Wolf, E.: Red shifts and blue shifts of spectral lines emitted by two correlated sources. Phys. Rev. Lett. 58, 2646–2648 (1987)ADS

Wolf, E., Foley, J.T., Gori, F.: Frequency shifts of spectral lines produced by scattering from spatially random media. J. Opt. Soc. Am. A 6, 1142–1149 (1989)ADS

Yadav, B.K., Bisht, N.S., Mehrotra, R., Kandpal, H.C.: Diffraction-induced spectral anomalies for information encoding and information hiding—possibilities and limitations. Opt. Commun. 277, 24–32 (2007a)ADS

Yadav, B.K., Rizvi, S.A.M., Raman, S., Mehrotra, R., Kandpal, H.C.: Information encoding by spectral anomalies of spatially coherent light diffracted by an annular aperture. Opt. Commun. 269, 253–260 (2007b)ADS

Yadav, B.K., Raman, S., Kandpal, H.C.: Information exchange in free spacing using spectral switching of diffracted polychromatic light: possibilities and limitations. J. Opt. Soc. Am. A 25, 2952–2959 (2008)ADS

Zou, Q., Hu, Q.: Spectral anomalies of diffracted chirped pulsed super-Gaussian beam. Optik 127, 1967–1971 (2016)ADS

Zou, Q., Lü, B.: Anomalous spectral behaviour near phase singularities in diffraction of pulsed Laguerre-Gaussian beams. J. Opt. a Pure Appl. Opt. 8, 531–536 (2006)ADS

Zou, Q., Lü, B.: Spectral anomalies of diffracted chirped Gaussian pulses and their potential applications. Optik 119, 682–688 (2008)ADS

Titel: Analyzing the spectral characteristics of a pulsed Laguerre higher-order cosh-Gaussian beam propagating through a paraxial ABCD optical system
verfasst von: H. Benzehoua
A. Belafhal
Publikationsdatum: 01.08.2023
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 8/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-04959-7

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Weitere Artikel der Ausgabe 8/2023

Uniaxial strain engineered MoS2 (molybdenite) and chlorine adsorbed MoS2 nanostructures for tuning their electronic and optical properties

Analysis of single-channel SPR–SMS refractive index and temperature sensor

Interaction of different lasers beams with synthesized H2Ti3O7 nanotubes: toward photodynamic therapy

Optical solitons and complexitons for generalized Schrödinger–Hirota model by the modified extended direct algebraic method

Generating new symmetric bi-peakon and singular bi-periodic profile solutions to the generalized doubly dispersive equation

A novel machine learning approach to classify the remote sensing optically images based on swarm intelligence