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The spatial correlation properties of apertured partially coherent beams propagating through atmospheric turbulence are studied
in detail. By using the quadratic approximation of the Rytov’s phase structure function and the finite complex Gaussian expansion
of the aperture function, the closed-form expression for the spectral degree of coherence of apertured partially coherent
beams in turbulence is derived. It is shown that the larger the aperture width h is, and the smaller the spatial correlation
length σ0 of the source is, the less the spatial correlation is affected by turbulence. Specially, the influence of turbulence on the
spatial correlation for unapertured partially coherent beams is less than that for apertured ones. The spectral degree of
coherence is shown to possess phase singularities for apertured partially coherent beams, but the phase singularities behavior
disappears when the turbulence is strong enough, which is very different from the behavior of unapertured partially coherent
beams. In addition, a comparison between the width of the spectral degree of coherence and that of the spectral intensity
of apertured partially coherent beams in turbulence is also given, and some interesting results are obtained. The results
are interpreted physically.
PACS 42.68.Bz; 42.79.Ag; 42.25.Fx 相似文献
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Taking the Gaussian Schell-model pulsed (GSMP) beam as a typical example of spatially and spectrally partially coherent pulsed beams, an analytical expression for the far-field spectrum of diffracted GSMP beams in Young’s interference experiment is derived, and used to study the spectral shifts and spectral switches of GSMP beams in the far field. Numerical calculation results are given to illustrate the dependence of spectral shifts and spectral switches on the obscuration ratio ε, temporal coherent length Tc, spatial correlation parameter β and diffraction angle α. It is shown that the critical angle αc of the first- and second-order spectral switches moves away from the z axis with increasing Tc, but αc of the third-order spectral switch moves towards the z axis with increasing Tc. The spectral transition height Δ decreases and spectral minimum Smin increases as Tc increases. αc decreases, Δ increases and Smin decreases as β increases. The potential application of spectral switches of spatially and spectrally partially coherent pulsed beams in information encoding and transmission is proposed. 相似文献
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Haixia Wang Chaoliang Ding Zhiguo Zhao Yongtao Zhang Liuzhan Pan 《Optics & Laser Technology》2012,44(6):1800-1807
Based on the generalized Rayleigh–Sommerfeld diffraction integral, the analytical expression for 3×3 cross-spectral density matrix of nonparaxial spatially and spectrally partially coherent electromagnetic Cosh-Gaussian (ChG) pulsed beams propagating in free space is derived, and used to formulate the spectral density and spectral degree of polarization of electromagnetic pulsed beams at the z-plane. It is found that the parameters f and fαα are the key parameters in determining the nonparaxiality of spatially and spectrally partially coherent electromagnetic ChG pulsed beams. And the decentered parameter, pulse duration and temporal coherence length can change the nonparaxial behavior of the electromagnetic ChG pulsed beams. The effect of decentered parameter, pulse duration and temporal coherence length on the spectral density and spectral degree of polarization of electromagnetic ChG pulsed beams is illustrated through numerical calculations. Propagation of nonparaxial spatially and spectrally partially coherent electromagnetic Gaussian Schell-model pulsed beams can be treated as a special case when the decentered parameter of electromagnetic ChG pulsed beams approaches to zero. 相似文献
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Study correlation vortices in the near-field of partially coherent vortex beams diffracted by an aperture
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We have derived the analytical expression of the electric cross-spectral density in the near-field of partially coherent vortex beams diffracted by an aperture. Taking the Gaussian Schell-model vortex beam as a typical example of partially coherent vortex beams, the spatial correlation properties and correlation vortices in the near-field of partially coherent vortex beams diffracted by a rectangle aperture are studied. It is shown that the off-axis displacement, spatial degree of coherence parameter, propagation distance, and the opening factor of the aperture affect the spectral degree of coherence and positions of correlation vortices. With the optimization algorithm, we obtain the symmetric distributing coherent vortex. 相似文献
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C. L. Ding L. Z. Pan B. Lü 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2010,59(2):329-336
Taking the stochastic electromagnetic J
0-correlated Schell-model pulsed
(JSMP) beam as a typical example of stochastic spatially and spectrally
partially coherent electromagnetic pulsed beams, the analytical expressions
for the cross-spectral density matrix, spectral density, spectral degree of
polarization and spectral degree of coherence of stochastic electromagnetic
JSMP beams propagating in free space are derived, and used to study the
changes in the spectrum, polarization, and coherence of stochastic spatially
and spectrally partially coherent electromagnetic JSMP beams. It is shown
that the on-axis spectrum is blue-shifted in free-space propagation and is
dependent on the pulse temporal coherence length and spatial correlation
parameter. The distribution of the on-axis spectral degree of polarization
depends on the frequency and spatial correlation parameter. The spectral
degree of coherence increases with increasing pulse temporal coherence
length. The results derived are interpreted physically. 相似文献
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The closed-form expression for the mean-squared width of apertured partially coherent beams propagating through turbulent media is derived by using the integral transform technique. The influence of turbulence on the spreading of apertured partially coherent beams is studied quantitatively by examining the relative mean-squared width, which is defined as the ratio of the mean-squared width of an apertured partially coherent beam in turbulence to the mean-squared width of the same beam in free space. On the other hand, the range of turbulence-independent propagation, also a reasonable measure of the resistance of a beam to turbulence, is obtained by examining the mean-squared width. It is shown that the spreading of apertured partially coherent beams is less affected by turbulence with smaller truncation parameter δ and coherence parameter α than with larger δ and α. In addition, the influence of turbulence on the spreading of apertured partially coherent beams increases first and then decreases due to increasing waist width w0. The results obtained are explained physically. 相似文献
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Based on the extended Huygens–Fresnel integral, the analytical formulae for the cross-spectral density matrix of the partially coherent radially polarized beams diffracted at a circular aperture in turbulent atmosphere are derived. The unapertured and free-space cases can be viewed as the special cases of our general result. By using the degree of coherence formula, the spatial correlation properties of the apertured partially coherent radially polarized beams in turbulent atmosphere are studied. The analyses indicate that the spatial correlation of the apertured partially coherent radially polarized beams are more affected by the atmospheric turbulence with the larger structure constant, the smaller truncation parameter, the larger coherence length, and the farther propagation distance. 相似文献
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The intensity distribution of the J0-correlated Schell-model (JSM) vortex beams focused by a lens and propagation in weak-to-strong turbulent atmosphere are investigated. It is shown that the beam spreading increases with the increase in topological charge n, the source coherent length α−1, turbulent outer scale L0 and propagation distance z. The center hollow depth of intensity distribution of the J0-correlated Schell-model (JSM) vortex beams decrease with the increase of topological charge n, turbulent outer scale L0 and propagation distance z or the decrease of the source coherent length α−1. 相似文献
12.
Analytical expressions for the effective radius of curvature, R, of Hermite–Gaussian (H–G) array beams propagating in free space for both coherent and incoherent combinations are derived. It is shown that for the two types of beam combination a minimum of the effective radius of curvature, Rmin, appears as the propagation distance z increases. For the coherent combination, R is larger than that for the incoherent combination. The position zmin where the effective radius of curvature reaches its minimum is further away from the source plane for the coherent combination than that for the incoherent combination. For the two types of beam combination, R and zmin increase with increasing beam number, increasing beam separation distance, increasing waist width, and decreasing beam order and wavelength. In particular, the R of single H–G beams is always smaller than that of H–G array beams; the R of Gaussian array beams is always larger than that of H–G array beams. 相似文献
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本文推导出了高斯列阵光束在非Kolmogorov大气湍流中传输的瑞利区间zR、湍流距离zT和远场发散角θ的解析表达式,研究了非Kolmogorov湍流的广义指数α和列阵光束的合成方式对高斯列阵光束扩展的影响.研究表明:不论相干还是非相干合成高斯列阵光束,zR,zT和θ均随着α的增加而呈非单调变化.当α=3.108时,zR和zT取极小值,而θ取极大值,即当α=3.108时高斯列阵光束扩展最厉害,光束扩展受湍流影响也最厉害.非相干合成高斯列阵光束扩展比相干合成的要大,但受非Kolmogorov湍流影响却要小.特别值得指出的是:当自由空间光束衍射较小时,有zTzR,即在瑞利区间范围内大气湍流就对光束扩展有影响;而当自由空间光束衍射较大时,有zTzR,即在瑞利区间范围内大气湍流对光束扩展几乎没有影响. 相似文献
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The propagation of a partially coherent Hermite–Gaussian beam in a slant turbulent channel is studied. The analytical formula for the quantum degree of polarization of a partially coherent Hermite–Gaussian beam is derived based on the quantum Stokes operators and the generalized Huygens–Fresnel principle. It is shown that the zenith angle slightly affects the polarization degree of partially coherent Hermite–Gaussian beams, and the changes of polarization degree are affected by the coherence length, the detection photon-number and the ground refractive index structure parameter. Furthermore, the numerical simulations show that a partially coherent Hermite–Gaussian beam with bigger coherence length, higher photon-number level, lower beam order, shorter wavelength is less affected by the turbulence. These results indicate that one can choose the partially coherent Hermite–Gaussian beam with bigger coherence length, lower beam order, shorter wavelength, higher detection photon-number and set the size of transmitting aperture w0 as about 0.065 m to improve the performance of a polarization-encoded free-space quantum communication system. 相似文献
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Based on flattened multi-Gaussian beam model and partially coherent theory, the expression for cross-spectral density of partially coherent flattened multi-Gaussian beam with a hole was given. The analytical expression for on-axis spectrum of partially coherent flattened multi-Gaussian beam with a hole passing through a paraxial ABCD optical system was derived. The spectral shifts of the partially coherent flattened multi-Gaussian beam with a hole propagating in free space and passing through the lens have been analyzed. The effects of the beam profile, spatial coherence parameter and the system parameters on the relative spectral shift have been discussed. Our results show that the inner radius of flattened multi-Gaussian beam with a hole determines its relative spectral shift in near field and its outer radius determines that in far field. For the flattened multi-Gaussian beam with a hole passing through a lens, the on-axis relative spectral shift changes sharply near the focal plane with the increase in Fresnel number and the spatial coherence parameter. 相似文献
17.
Spreading of spatially partially coherent polychromatic beams in atmospheric turbulence 总被引:1,自引:0,他引:1
Taking the polychromatic Gaussian Schell-model (GSM) beam as a typical example of spatially partially coherent polychromatic beams, the spreading of polychromatic GSM beams in atmospheric turbulence is studied. The mean-squared width of polychromatic GSM beams in turbulence is derived by using the effective source and the strong fluctuation models. It is shown that the same result is obtained using both the models. The diffraction, atmospheric turbulence and beam polychroism result in a spreading of polychromatic GSM beams. If the scaling law fails, the spreading of polychromatic GSM beams increases with increasing bandwidth Γ, but the influence of Γ on the spreading of polychromatic GSM beams becomes small as the structure constant Cn2 of the refractive index and spatial correlation parameter α increase. The spreading of polychromatic GSM beams increases as Cn2 increases and α decreases. Spatially partially coherent polychromatic beams are less sensitive to the effects of atmospheric turbulence than spatially fully coherent polychromatic beams. 相似文献
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The effects of multibeams and partially coherent source on the orbital angular momentum transmission of multi-Gaussian Schell model beams in an atmospheric turbulence channel are analyzed. An effective crosstalk probability model of the orbital angular momentum is derived which leads to crosstalk probability function for eigenmodes of different orbital angular momentum states and beamlets. The work shows that the evolution of the effective spatial coherence radius with growing the rms width of the correlation of the partially coherent source and the number of the beamlet in multi-Gaussian model beams. The crosstalk probability of the orbital angular momentum of an effective Gaussian-Schell model beam decreases as increasing of the degree of the spatial coherence of the partially coherent source and the beamlet number of the multi-Gaussian Schell model beams. 相似文献
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Based on the theory of coherence, an analytical propagation formula for partially polarized and partially coherent hollow Gaussian Schell-model beams (HGSMBs) passing through a paraxial optical system is derived. Furthermore, we show that the degree of polarization of source may affect the evolution of HGSMBs and a tunable dark region may exist. For two special cases of fully coherent and partially coherent δxx = δyy, normalized intensity distributions are independent of the polarization of source. 相似文献
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The analytical propagation expression of partially coherent flat-topped vortex beams through a paraxial optical ABCD system is derived, and it then is used to investigate the coherence vortex properties of partially coherent flat-topped vortex
beams in the Fourier transform and fractional Fourier transform systems. It is shown that in the Fourier transform system
the coherence vortex depends on the flat-topped beam order N, spatial coherence parameter α and position (x
1,y
1) of the reference point, whereas in the fractional Fourier transform system the flat-topped beam order N does not affect the spectral degree of coherence. Furthermore, in both transform systems, depending on the choice of the
reference point, the zero value point of the spectral degree of coherence may be present or absent. In particular, if x
1=y
1=0 is selected, the phase at the zero value point of the spectral degree of coherence may be determinate; thus the coherence
vortex does not exist. 相似文献