Output polarization states of a corner cube reflector irradiated at non-normal incidence

A method has been developed for determining the polarization state of the retro-reflected beam from a corner cube irradiated with an input beam of arbitrary polarization state and of arbitrary tilt angle to the cube. Experimentally, the output beam consists of six distinct beamlets of different polarization states that are focused into six non-overlapping regions in the active area of the detector. The overall polarization state of the beam as measured by the photodetector can thus be represented by the incoherent superposition of the polarization states of the six beamlets. Experiments have been performed that verify the theory for a linearly polarized input beam irradiating the corner cube.     

高斯光束通过多光阑B=0成像系统传输的解析公式研究

采用将硬边光阑窗口函数展开为有限个复高斯函数之和的方法和A0CD矩阵分解的技巧，推导 出了高斯光束通过多光阑B=0光学成像系统解析的传输公式，并用典型数值计算例加以说明. 最后，指出了所用方法的优点. 关键词： 硬边光阑 复高斯函数 传输方程 矩阵分解     

Optimum coupling of a Gaussian beam to a corner reflector with a four-wavelength antenna

The coupling of a Gaussian radiation beam to a corner reflector with a four-wavelength long wire antenna was studied theoretically and experimentally. The antenna configuration in conjunction with a Schottky barrier diode is recently used widely as a fast submillimeter wave detector. The optimum angle focusing the radiation to the antenna has been obtained and is 11° (half-width at the 8.7dB points).     

Decentered twisted Gaussian Schell-model beams and their propagation through a misaligned first-order optical system

The propagation properties of decentered twisted Gaussian Schell-model (DTGSM) beams passing through a misaligned first-order optical system are studied. The explicit expressions for the cross-spectral density function and Wigner distribution function of the output beam are derived, which retain their form unchanged. It is shown that the DTGSM beams preserve their closed property. The second-order moments matrix and the Wigner distribution function evolve with the usual laws, whereas the first-order moments matrix varies, as if a ray passes through such system. The propagation of DTGSM beams through an aligned first-order optical system is treated as the limiting case that corresponds to the vanishing misalignment parameters.     

高斯-谢尔模型光束通过杨氏双缝衍射后的解析传输公式

 通过将杨氏双缝窗口函数表示为复高斯函数叠加的方法,从Collins公式出发推导出了高斯-谢尔模型(GSM)光束通过杨氏双缝和ABCD光学系统后光强的近似解析表达式。利用该公式作了数值计算,通过与Collins公式计算结果进行比较,确定了该公式的适用范围,研究了相干长度和双缝中心遮拦比对解析公式适用范围的影响,并对该公式的应用前景作了展望。     

Double-distance propagation of Gaussian beams passing through a tilted cat-eye optical lens in a turbulent atmosphere

By using the extended Huygens-Fresnel diffraction integral and the method of expanding the aperture function into a finite sum of complex Gaussian functions, an approximate analytical formula of the double-distance propagation for Gaussian beam passing through a tilted cat-eye optical lens and going back along the entrance way in a turbulent atmosphere has been derived. Through numerical calculation, the effects of incidence angle, propagation distance, and structure constant on the propagation properties of a Gaussian beam in a turbulent atmosphere are studied. It is found that the incidence angle creates an unsymmetrical average intensity distribution pattern, while the propagation distance and the structure constant can each create a smooth and symmetrical average intensity distribution pattern. The average intensity peak gradually deviates from the centre, and the central average intensity value decreases quickly with the increase in incidence angle, while a larger structure constant can bring the average intensity peak back to the centre.     

通过有光阑近轴ABCD光学系统激光束的近似解析传输公式

 用傅立叶级数展开法研究光束通过有光阑限制的近轴ABCD光学系统的传输特性，导出了光阑透射率函数不同时的传输公式。硬边光阑的情况可作为其它光阑的特例得到，其它光阑也可视作硬边光阑来处理。数值计算表明了该方法快速的优点，并得到与用Collins公式直接积分一致结果。     

通过有光阑近轴ABCD光学系统激光束的近似解析传输公式

用傅立叶级数展开法研究光束通过有光阑限制的近轴ABCD光学系统的传输特性,导出了光阑透射率函数不同时的传输公式。硬边光阑的情况可作为其它光阑的特例得到,其它光阑也可视作硬边光阑来处理。数值计算表明了该方法快速的优点,并得到与用Collins公式直接积分一致结果。     

Studies of propagation characteristics of elliptical Gaussian beams through circular apertured optical systems

An approximate analytical propagation formula of the elliptical Gaussian beams through a paraxial ABCD optical system with a circular aperture is obtained on the basis of the expansion of a hard-edged aperture into a finite sum of complex Gaussian functions. And the parameter characteristics of the truncated beams including the beam propagation factor and the kurtosis parameter are also studied in detail by using the second-order-moments method.     

Optimal beams for propagation through random media

The problem of maximizing the intensity that is transferred from a transmitter aperture to a receiver aperture is considered in which the propagation medium is random. Two optimization criteria are considered: maximal expected intensity transfer and minimal scintillation index. The beam that maximizes the expected intensity is shown to be fully coherent. Its coherent mode is determined as the principal eigenfunction for a kernel that is determined through the second-order moments of the propagation Green's function. The beam that minimizes the scintillation index is shown to be partially coherent in general, with its coherent modes determined by minimizing a quadratic form that has nonlinear dependence on the coherent-mode fields, and on the second- and fourth-order moments of the propagation Green's function.     

Analytical propagation expression of elliptical Gaussian beams through nonsymmetric systems with an elliptical aperture

A tensor form for describing approximately the elliptical aperture function is defined that can be expanded into a finite sum of complex Gaussian functions. An analytical propagation formula of elliptical Gaussian beams through nonsymmetric and paraxial optical systems with an elliptical aperture is obtained by using tensor method. A simple numerical example is given to illustrate for its applications.     

Nonparaxial propagation of vectorial Gaussian beams diffracted at a circular aperture

Based on the vectorial Rayleigh diffraction integral, the nonparaxial propagation of vectorial Gaussian beams diffracted at a circular aperture is studied. The far-field and paraxial cases are treated as special cases of our general result. It is shown that for the apertured case the f parameter still plays an important role in determining the nonparaxiality of vectorial diffracted Gaussian beams, but both the f parameter and truncation affect the beam evolution behavior.     

Changes in polarization of Gaussian Schell-model beams and partially polarized Gaussian Schell-model beams through a polarization grating

The polarization properties of Gaussian Schell-model (GSM) beams and partially polarized Gaussian Schell-model (PGSM) beams passing through a polarization grating (PG) are studied based on the beam coherence-polarization (BCP) matrix formulism, where the finite size of the PG is considered. Detailed numerical calculation results are given and compared with the previous work.     

Fluctuation of Gaussian beams propagating through a light-focusing glass fibre

The mean-square fluctuations of log-amplitude and phase are studied theoretically for Gaussian beams propagating through a light-focusing glass fibre having a Gaussian covariance of the refractive-index inhomogeneities. The study is based on a method of the Rytov approximation which has been mainly employed for an analysis of the beam fluctuations in an atmosphere. The results show that the mean-square fluctuations increase proportionally to the propagation distance for gz>1,g andz being the focusing coefficient of a fibre and the actual propagation distance, and also increase monotonically as the beam spot size becomes larger. It is also shown that the fluctuations increase significantly in the radial direction of the beam from the centre and that the on-axis fluctuations of log-amplitude and phase depend greatly on the beam spot size.     

高斯光束通过双焦透镜的聚焦特性

从Collins公式出发,研究了高斯光束通过双焦透镜后的聚焦特性。在无光阑的情况下,给出了轴上光强和x, y方向两束腰及其位置的解析公式。详细的数值计算表明,轴上光强最大点位于其中一个束腰位置附近或者相重合,但始终不能超过透镜较大的焦点。并且,相对束腰的位移随光阑效应的增加而增加。     

Propagation of Gaussian beams family through a Kerr-type left-handed metamaterial

In this paper the propagation of elegant Hermite-cosh-Gaussian, elegant Laguerre Gaussian, and Bessel Gaussian beams through a Kerr left-handed metamaterial(LHM) slab have been studied. A split-step Fourier method is used to investigate the propagation of laser beams through this media. Numerical simulation shows that Gaussian beams have different focusing behaviors in a Kerr LHM slab with positive or negative nonlinearity. Beam focusing happens in slabs with positive nonlinearity and not in slabs with negative nonlinearity; however, negative nonlinearity is required for a Kerr LHM slab to act like a lens. Additionally, the focusing properties of beams can be controlled by controlling the thickness of the slab or the input power of the incident beam. A multilayer structure is also proposed to have beam focusing by thinner slabs and passing longer distances.     

高斯光束通过双焦透镜的聚焦特性

 从Collins公式出发,研究了高斯光束通过双焦透镜后的聚焦特性。在无光阑的情况下,给出了轴上光强和x, y方向两束腰及其位置的解析公式。详细的数值计算表明,轴上光强最大点位于其中一个束腰位置附近或者相重合,但始终不能超过透镜较大的焦点。并且,相对束腰的位移随光阑效应的增加而增加。     

Focal shift of hollow Gaussian beams through a thin lens

In this paper, the focal shift of hollow Gaussian beams (HGBs) passing through a thin lens is investigated in detail. An analytic expression of the location of the axial maximum intensity for the HGBs is derived. It is found that, both the relative focal shift and the relative location of the axial maximal intensity of the HGBs is strongly affected by the ratio α (where α=s/f, here s is the axial distance from the input plane to the lens plane and f is the focus length of the lens), and it is also greatly affected by the changes of both the effective Fresnel number N_w and the order n of HGBs.