PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Far and near fields of Hermite–Gaussian beams passing through an annular aperture and its numerical simulation by the angular spectrum method

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This research focuses on the analysis of the free propagation of Hermite–Gaussian beams diffracted by a symmetrical annular aperture placed at the beam waist plane. The propagation is studied analytically and numerically using the angular spectrum method and the 2D fast Fourier transformation. Numerical simulation examples illustrate the propagation characteristics of the Hermite–Gaussian beams diffracted by an annular aperture. The beam truncation parameters and obscuration ratio influence Hermite–Gaussian beam diffraction properties.
Czasopismo
Rocznik
Strony
467--481
Opis fizyczny
Bibliogr. 28 poz., rys.
Twórcy
  • Department of Optics and Photonics, Faculty of Fundamental Problems of Technology, Wroclaw University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
Bibliografia
  • [1] SIEGMAN A.E., Lasers, Oxford University Press, Mill Valley, CA 1986.
  • [2] SIEGMAN A.E., Hermite–Gaussian functions of complex argument as optical-beam eigenfunctions, Journal of the Optical Society of America 63(9), 1973: 1093-1094. https://doi.org/10.1364/JOSA.63.001093
  • [3] LAABS H., Propagation of Hermite–Gaussian-beams beyond the paraxial approximation, Optics Communications 147(1-3), 1998: 1-4. https://doi.org/10.1016/S0030-4018(97)00607-X
  • [4] SAGHAFI S., SHEPPARD C.J.R., Near and far field of elegant Hermite–Gaussian and Laguerre–Gaussian modes, Journal of Modern Optics 45(10), 1998: 1999-2009. https://doi.org/10.1080/09500349808231738
  • [5] WEN J.J., BREAZEALE M.A., A diffraction beam field expressed as the superposition of Gaussian beams, The Journal of the Acoustical Society of America 83(5), 1988: 1752-1756. https://doi.org/10.1121/1.396508
  • [6] ZHENG C., Propagation of elliptical Gaussian beam passing through aperture paraxial optical systems, Optik 125(1), 2014: 264-267. https://doi.org/10.1016/j.ijleo.2013.06.053
  • [7] TANG B., JIANG X.F., LIU Z.M., Propagation of Hermite-cosh-Gaussian beams passing through ABCD optical system with an annular aperture, Optoelectronics Letters 4(1), 2008: 78-80. https://doi.org/10.1007/s11801-008-7116-5
  • [8] ZHENG C., ZHANG Y., WANG L., Propagation of vectorial Gaussian beams behind a circular aperture, Optics & Laser Technology 39(3), 2007: 598-604. https://doi.org/10.1016/j.optlastec.2005.10.003
  • [9] CAI Y., LÜ X., Propagation of Bessel and Bessel–Gaussian beams through unapertured or aperture misaligned paraxial optical systems, Optics Communications 274(1), 2007: 1-7. https://doi.org/10.1016/j.optcom.2007.01.058
  • [10] BAHL M., SENTHILKUMARAN P., Energy circulation in singular beams diffracted through an isosceles right triangular aperture, Physical Review A 92(1), 2015: 013831. https://doi.org/10.1103/PhysRevA.92.013831
  • [11] BHARGAVA RAM B.S., SHARMA A., SENTHILKUMARAN P., Diffraction of V-point singularities through triangular apertures, Optics Express 25(9), 2017: 10270-10275. https://doi.org/10.1364/OE.25.010270
  • [12] TALATINIAN A., Numerical simulation of the physical properties of Gaussian mode using the angular spectrum technique, Optik 127(17), 2016: 6970-6977. https://doi.org/10.1016/j.ijleo.2016.05.009
  • [13] TALATINIAN A., The analysis of the laser beam shape of the fundamental Gaussian mode by testing the numerical angular spectrum technique, Optics & Laser Technology 118, 2019: 75-83. https://doi.org/10.1016/j.optlastec.2019.05.001
  • [14] GHAI D.P., SENTHILKUMARAN P., SIROHI R.S., Single-slit diffraction of an optical beam with phase singularity, Optics and Lasers in Engineering 47(1), 2009: 123-126. https://doi.org/10.1016/j.optlaseng.2008.07.019
  • [15] SINGH B.K., MEHTA D.S., SENTHILKUMARAN P., Visualization of internal energy flows in optical fields carrying a pair of fractional vortices, Journal of Modern Optics 60(13), 2013: 1027-1036. https://doi.org/10.1080/09500340.2013.828790
  • [16] LOCHAB P., SENTHILKUMARAN P., KHARE K., Near-core structure of a propagating optical vortex, Journal of the Optical Society of America A 33(12), 2016: 2485-2490. https://doi.org/10.1364/JOSAA.33.002485
  • [17] POPIOŁEK-MASAJADA A., SOKOLENKO B., AUGUSTYNIAK I., MASAJADA J., KHOROSHUN A., BACIA M., Optical vortex scanning in an aperture limited system, Optics and Lasers in Engineering 55, 2014: 105-112. https://doi.org/10.1016/j.optlaseng.2013.10.023
  • [18] PŁOCINICZAK Ł., POPIOŁEK-MASAJADA A., SZATKOWSKI M., WOJNOWSKI D., Transformation of the vortex beam in the optical vortex scanning microscope, Optics & Laser Technology 81, 2016: 127-136. https://doi.org/10.1016/j.optlastec.2016.01.040
  • [19] PŁOCINICZAK Ł., POPIOŁEK-MASAJADA A., MASAJADA J., SZATKOWSKI M., Analytical model of the optical vortex microscope, Applied Optics 55(12), 2016: B20-B27. https://doi.org/10.1364/AO.55.000B20
  • [20] KIM H.C., LEE Y.H., Hermite–Gaussian and Laguerre–Gaussian beams beyond the paraxial approximation, Optics Communications 169, 1999: 9-16. https://doi.org/10.1016/S0030-4018(99)00411-3
  • [21] AGRAWAL G.P., PATTANAYAK D.N., Gaussian beam propagation beyond the paraxial approximation, Journal of the Optical Society of America 69(4), 1979: 575-578. https://doi.org/10.1364/JOSA.69.000575
  • [22] DUAN K., WANG B., LÜ B., Propagation of Hermite–Gaussian and Laguerre–Gaussian beams beyond the paraxial approximation, Journal of the Optical Society of America A 22(9), 2005: 1976-1980. https://doi.org/10.1364/JOSAA.22.001976
  • [23] ZHENG C., ZHANG Y., WAN L., Propagation of vectorial Gaussian beams behind a circular aperture, Optics & Laser Technology 39(3), 2007: 598-604. https://doi.org/10.1016/j.optlastec.2005.10.003
  • [24] DUAN K., LÜ B., Nonparaxial analysis of far-field properties of Gaussian beams diffracted at a circular aperture, Optics Express 11(13), 2003: 1474-1480. https://doi.org/10.1364/OE.11.001474
  • [25] ZHOU G., Vectorial structure of the far field of an elegant Hermite–Gaussian beam, Optics & Laser Technology 44(1), 2012: 218-225. https://doi.org/10.1016/j.optlastec.2011.06.022
  • [26] GU B., XU D., PAN Y., CUI Y., Nonparaxial propagation and focusing properties of azimuthal-variant vector fields diffracted by an annular aperture, Journal of the Optical Society of America A 31(7), 2014: 1657-1665. https://doi.org/10.1364/JOSAA.31.001657
  • [27] GOODMAN J.W., Introduction to Fourier Optics, 3rd Ed., Roberts & Company, Greenwood Village, 2005.
  • [28] TALATINIAN A., PLUTA M., Propagation of a fundamental laser mode and its numerical simulation by the angular spectrum technique, Optik 127(8), 2016: 3882-3887. https://doi.org/10.1016/j.ijleo.2016.01.111
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-61992c3e-87b8-4371-838a-0836289e6a8a
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.