Article

Different models for a hard-aperture function and corresponding approximate analytical propagation equations of a Gaussian beam through an apertured optical system

Department of Physics, Zhejiang University, Hangzhou 310027, China.
Journal of the Optical Society of America A (Impact Factor: 1.45). 05/2005; 22(4):647-53. DOI: 10.1364/JOSAA.22.000647
Source: PubMed

ABSTRACT Beam profiles that consist of a sum of complex-Gaussian functions, a sum of polynomial-Gaussian functions and a sum of multi-Gaussian functions offset by some fixed amount are proposed as three types of model for a hard-aperture function. By expanding an aperture function into these models, approximate analytical propagation equations for a Gaussian beam through an apertured ABCD optical system are obtained. Comparison among these models themselves and among propagation characteristics of a Gaussian beam through these models are made. It is shown that the first and third types of model for a hard-aperture function are more suitable than the second type, in terms of calculation efficiency and simulation results, for application to such diffraction problems. Moreover, there are some differences in the applicability of the first and the third models.

0 Followers
 · 
49 Views
  • [Show abstract] [Hide abstract]
    ABSTRACT: Model of Gaussian vortex beam propagation through an optical system with the Cassegrain-telescope receiver in turbulent atmosphere is established. With this model, the analytical formulas of the average intensity distribution at the receiver plane are derived, and the influences of the optical topological charge, the propagation distance and the turbulence strength are numerically analyzed. These studies show that optical power at the receiver plane concentrates in an annular area, which is suitable for power coupling by the Cassegrain-telescope receiver; the optical topological charge of the vortex source need to be optimized to access the most power coupling. Under the H-V 5/7 turbulence model, power coupling efficiencies of the optical system with different parameters are calculated. Results show that in comparison with the Gaussian beams, Gaussian vortex beams have great advantages in power coupling of optical systems with the Cassegrain-telescope receivers in turbulent atmosphere, which can be a new attractive application of the vortex beams.
    Applied Physics B 08/2013; 112(2). DOI:10.1007/s00340-013-5412-7 · 1.63 Impact Factor
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: The exact vector integral solution for all the electromagnetic field components of a general flattened Gaussian laser mode is derived by using the angular spectrum method. This solution includes the pure and annular Gaussian modes as special cases. The integrals are of the form of Gegenbauer's finite integral and are computed analytically for each case, yielding fields satisfying the Maxwell equations exactly in the form of quickly converging Fourier-Gegenbauer series. (c) 2006 Optical Society of America.
    Optics Letters 06/2006; 31(10):1447-9. DOI:10.1364/OL.31.001447 · 3.18 Impact Factor
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: Many laser interaction models assume that incident focused laser fields are Gaussian and use either the approximate TEM 00 series model or the exact integral Gaussian angular-spectrum solution. Many practical laser systems, however, produce flat-top transverse intensity profiles, and indeed, such profiles are often desired. Here, an exact, integral solution is derived for all of the vector components having a general flattened Gaussian profile using the angular-spectrum method. This solution includes the pure and annular Gaussian modes as special cases. The resulting integrals are solved for tight focusing conditions exactly by making use of a Fourier–Gegenbauer expansion. This technique follows closely that of Sepke and Umstadter [ Opt. Lett. 31, 1447 (2006)] but, by redefining the expansion coefficients, the simplicity of the model is greatly enhanced and the computation time reduced by roughly a factor of 2 beyond the 2 orders of magnitude improvement obtained previously. This series solution is stable at all points and converges after S ∼ 20 w 0 terms, where w 0 is the 1 ∕ e waist normalized to the laser wavelength.
    Journal of the Optical Society of America B 09/2006; 23(10):2157-2165. DOI:10.1364/JOSAB.23.002157 · 1.81 Impact Factor
Show more

Similar Publications