Optical nonlinearity measurement of 4-（N-methyl,N-hydroxyethl）amino,4＇-nitroazobenzene using a transmittance technique with a phase object（T-PO） with top-hat beams at 600-nm wavelength

The transmittance technique with a phase object（T-PO）,for measuring optical nonlinear coefficients is proposed with a top-hat beam.The sensitivity of the T-PO with a top-hat beam is a factor of 4 greater than that with a Gaussian beam.The validity of this method is verified by measuring the nonlinearity of a well-characterized liquid,CS 2 at 532-nm wavelength.The ease of use of this method has been proved by measuring a new compound 4-（N-methyl,N-hydroxyethyl）amino,4＇-nitroazobenzene（ANAB） at 600-nm wavelength,indicating that this method can be extended to the measurement of optical nonlinearities in a wide-band spectrum.     

Experimental and theoretical study of linearly polarized Lorentz–Gauss beams with heterogeneous distribution

The unevenly distributed Lorentz–Gaussian beams are difficult to reproduce in practice, because they require modulation in both amplitude and phase terms. Here, a new linearly polarized Lorentz–Gauss beam modulated by a helical axicon(LGB-HA)is calculated, and the two various experimental generation methods of this beam, Fourier transform method(FTM) and complex-amplitude modulation(CAM) method, are depicted. Compared with the FTM, the CAM method can modulate the phase and amplitude simultaneously by only one reflection-type phase-only liquid crystal spatial light modulator.Both of the methods are coincident with the numerical results. Yet CAM is simpler, efficient, and has a higher degree of conformance through data comparison. In addition, considering some barriers exist in shaping and reappearing the complicated Lorentz–Gauss beam with heterogeneous distribution, the evolution regularities of the beams with different parameters(axial parameter, topological charge, and phase factor) were also implemented.     

Transformation of general astigmatic Gaussian beams in a four-dimensional phase space

A phase space model of two-dimensional (2D) Gaussian beam propagation is generalized for three-dimensional (3D) general astigmatic Gaussian beam passing through first-order optical system. The general astigmatic Gaussian beam is represented by a four-dimensional (4D) phase super-ellipsoid that defined by an associated 4×4 real matrix, then the transformation formula of the phase super-ellipsoid of the beam through first-order optical system is derived. In particular, in the phase space framework, the beam propagation factor M2 value is proved to be a ratio of phase area of real beam to ideal beam, and a novel approach for a qualitative examination of the properties of fractional Fourier transform (FRT) for the beam is also provided.     

Wavefront correction of Ti： sapphire terawatt laser with varying precision of phase conjugation between deformable mirror and wavefront sensor

The phase conjugation between the deformable mirror and the wavefront sensor in the aberration correction of a terawatt Ti:sapphire laser is studied experimentally and theoretically in this paper.At varying values of phaseconjugation precision,we focus the corresponding beams into spots of the same size of 5.1 μm× 5.3 μm with a f/4 parabola in the 32 TW/36 fs Ti:sapphire laser system.The results show that the precision of conjugation can induce an intensity modulation but does not significantly affect the wavefront correction.     

The study of third harmonic demodulation in phase modulation optical heterodyne technique using optical resonator

With the technique of phase modulation optical heterodyne(PMOH), we detected the beat-frequency signal of the reflected wave from a F-P cavity. The frequency of the beat signal was three times of that of the modulation electric field, when the 3rd harmonic of the modulation electric field was used as the phase reference signal. The line shapes of the signal match those of the theoretical calculations, and the dispersion signal has good frequency-discrimination characteristic.     

Nonlinear optical properties of [（CH3）4N]Au（dmit）2 using Z-scan technique

The third-order optical nonlinearities of [（CH3）4N]Au（dmit）2 （dmit = 4,5-dithiolate-1,3-dithiole-2-thione） at 532 nm and 1064 nm are investigated using the Z-scan technique with pulses of picoseconds duration. The Z-scan spectra reveal a strong nonlinear absorption （reverse saturable absorption） and a negative nonlinear refraction at 532 nm. No nonlinear absorption is observed at 1064 nm. The molecular second-order hyperpolarizability γ for the [（CH3）4N]Au（dmit）2 molecule at 532nm is estimated to be as high as （2.1 ±0.1） × 10^-31 esu, which is nearly three times larger than that at 1064 nm. The mechanism responsible for the difference between the results is analysed. Nonlinear transmission measurements suggest that this material has potential applications in optical limiting.     

Quantum phase distribution and the number—phase Wigner function of the generalized squeezed vacuum states associated with solvable quantum systems

The quantum phase properties of the generalized squeezed vacuum states associated with solvable quantum systems are studied by using the Pegg-Barnett formalism.Then,two nonclassical features,i.e.,squeezing in the number and phase operators,as well as the number-phase Wigner function of the generalized squeezed states are investigated.Due to some actual physical situations,the present approach is applied to two classes of generalized squeezed states:solvable quantum systems with discrete spectra and nonlinear squeezed states with particular nonlinear functions.Finally,the time evolution of the nonclassical properties of the considered systems has been numerically investigated.     

Color fusion of SAR and FLIR images using a natural color transfer technique

Fusion of synthetic aperture radar (SAR) and forward looking infrared (FLIR) images is an important subject for aerospace and sensor surveillance. This paper presents a scheme to achieve a natural color image based on the contours feature of SAR and the target region feature of FLIR so that the overall scene recognition and situational awareness can be improved. The SAR and FLIR images are first decomposed into steerable pyramids, and the contour maps in the SAR image and the region maps in the FLIR image are calculated. The contour and region features are fused at each level of the steerable pyramids. A color image is then formed by transferring daytime color to the monochromic image by using the natural color transfer technique. Experimental results show that the proposed method is effective in providing a color fusion of SAR and FLIR images.     

Energy calibration of a BC501A liquid scintillator using a γ-γ coincidence technique

An accurate energy calibration of a BC501A liquid scintillator by means of Compton scattering of γ-rays is described.The energy resolution and the position of the Compton edge have been precisely determined using a γ-γ coincidence technique and fitting the coincidence spectrum with a Gaussian function superimposed on a quadratic polynomial for the background.The position of the Compton edge relative to the position of the maximum and the half height of the distribution in dependence on the relevant energy resolution is discussed in detail.The results indicate that the maximum energy of the recoil Compton electron does not occur at the half height distribution but at 0.90±0.05 of the maximum height in the energy range considered.The energy resolution varies from 15.6% to 8.02% for electrons in the energy region from 0.5 MeV to 3 MeV.     

利用Z扫描技术确定非局域非线性介质的非线性折射率

采用高斯分解法，分析并讨论了非局域非线性介质的Z扫描特性.基于介质的非线性响应函数为高斯型，给出了用于确定非局域非线性介质的非线性折射率系数的透过率表达式，分析了非局域非线性介质的非局域程度对透过率曲线的影响,得到了计算非局域非线性介质的非线性折射率系数以及非局域程度的方法，讨论了由于非局域性条件所带来的对实验上的一些参数的调整，提出了测量介质非局域程度的可行的实验方法并说明了其他注意事项.同时还数值模拟了在介质的响应函数为双曲正割型情况下通过薄样品的远场Z扫描曲线，并与高斯响应情况下的结果进行了比较. 关键词： 非局域程度 薄介质 远场条件 Z扫描曲线')" href="#">Z扫描曲线     

用Z-扫描技术研究卟啉铜偶合TiO2/SiO2有机-无机材料的非线性吸收特性

应用溶胶-凝胶技术, 成功地把5,10,15,20-四(4-磺酸苯基)卟啉铜掺杂到SiO₂/TiO₂无机凝胶中, 制备成有机-无机复合材料. 采用开孔Z-扫描技术, 使用波长532 nm、脉宽7ns的YAG脉冲激光为光源, 测定了不同浓度卟啉铜掺杂的SiO₂/TiO₂凝胶Z-扫描曲线. 应用Z扫描理论对获得的曲线进行分析与理论拟合, 得到复合材料的非线性吸收系数. 这些非线性吸收是由材料中卟啉铜的单聚体与二聚体的反饱和吸收所引起. 研究表明, 随着掺杂浓度的增大, 复合材料的非线性吸收明显增强. 掺杂浓度为1.11×10^-4 (A2), 1.48×10^-4 (A3)与3.01×10^-4 mol/L (A4)凝胶的非线性吸收系数分别为1.705×10^-11, 1.892×10^-11和4.854×10^-11 m/W. 讨论了单聚体与二聚体的浓度变化对非线性吸收的影响. 随着掺杂浓度的增加, 凝胶中二聚体与多聚体含量的增加, 导致非线性吸收系数的增大. 同时测定了无机材料对该光源的抗激光损伤阈值为～5 J/cm².     

Z-scan determination of the third-order optical nonlinearities of an azo dye using diode-pumped Nd:Yag laser

Optical nonlinearity of dye solutions are studied with considerable interest for their wide spread applications ranging from gain media in lasers to all-optical processing signal devices. The third-order nonlinear optical properties of Brilliant Crocein dye was measured by the Z-scan technique and measurements were carried out for different concentrations. The negative sign of the nonlinear refractive index n₂ indicates that this material exhibits self-defocusing optical nonlinearity and purely saturation absorption at the wavelength 532 nm of the diode-pumped Nd:YAG. These results show that Brilliant Crocein has potential applications in nonlinear optics.     

Generation of multiple sub wavelength focal spot segments using radially polarized Bessel Gaussian beam with complex phase filter

We propose a new approach for generating multiple focal spot segment of sub wavelength size, by tight focusing of phase modulated radially polarized Bessel Gaussian beam. The focusing properties are investigated theoretically by vector diffraction theory. We observed that focal segment with multiple focal spots structure separated with different axial distance can be generated by properly tuning the phase of the incident radially polarized Bessel Gaussian (BG) beam. Potential applications of this focal shaping technique are also discussed.     

Propagation of relative phase shift of apertured Gaussian beams through axisymmetric optical systems

When a Gaussian beam is apertured, it undergoes a phase shift as well as a focal shift. The relative phase shift of an apertured Gaussian beam through an axisymmetric optical system written in ABCD matrix is analyzed by applying Collins' diffraction integral formula. And, more important, the condition of dispeling the relative phase shift is obtained, which is related with the Fresnel number. At last, some extensions are given.     

Hermite hyperbolic/sinusoidal Gaussian beams in ABCD systems

For a Hermite hyperbolic/sinusoidal Gaussian beam with focusing properties, passing through an arbitrarily shaped rectangular aperture on the source plane and an on-axis x–y asymmetric ABCD system, the receiver plane expression is derived using the Collins integral. The specific example of a single thin lens placed on the propagation path is examined at selected source, propagation and optical element parameters. Viewing the progress of the beam in propagation, we find that subjecting the source beam to an aperture will give rise to excessive spreading during propagation. The lens setup will act to concentrate the energy of the beam around its focal point as expected, while in some circumstances it will also execute beam profile changes. By adjusting the aperture opening in the shape of a narrow slit, the beam will become aligned in the opposite direction after propagating after having traveled sufficiently. The results are presented as intensity graphs in the form of contour plots and 3D illustrations.     

The beam propagation factor and far-field distribution of Bessel-modulated Gaussian beams

The explicit expressions for the beam propagation factor (M ² factor) and far-field distribution of Bessel-Modulated Gaussian beams with quadratic radial dependence are derived. The results are analyzed with numerical example.     

Optical nonlinearity measurement of 4-(N-methyl, N-hydroxyethl)amino, 4'-nitroazobenzene using a transmittance technique with a phase object (T-PO) with top-hat beams at 600-nm wavelength

The transmittance technique with a phase object(T-PO),for measuring optical nonlinear coefficients is proposed with a top-hat beam.The sensitivity of the T-PO with a top-hat beam is a factor of 4 greater than that with a Gaussian beam.The validity of this method is verified by measuring the nonlinearity of a well-characterized liquid,CS 2 at 532-nm wavelength.The ease of use of this method has been proved by measuring a new compound 4-(N-methyl,N-hydroxyethyl)amino,4’-nitroazobenzene(ANAB) at 600-nm wavelength,indicating that this method can be extended to the measurement of optical nonlinearities in a wide-band spectrum.