Quantitative method for determining the angles of deflection of light rays reconstructed from the hologram of a phase object

A quantitative method is proposed to study the reconstructed wave front from a single hologram of a phase object. The method is designed to study coarse inhomogeneities in phase objects. Results of an experimental test of this method, confirming its efficiency, are presented. Zh. Tekh. Fiz. 67, 39–42 (March 1997)     

用Stokes参量法实现数字同轴偏振全息的研究

提出了一种基于Stokes参量的数字同轴偏振全息方法.在实验中用一束线偏振光和一束椭圆偏振光作为参考光, 分别与物光进行干涉,通过拍摄在两个相互垂直方向上的全息图,计算出物光在这两个方向的振幅和相位信息, 从而得到物光的Stokes参量和物体的全偏振信息,实现对各向异性物体偏振态空间分布的图像重建. 实验结果表明,该方法可用于物体的全偏振特性的测量.这种方法在求出物光Stokes参量的同时, 也可消除零级像和共轭像的干扰,因此也可用于同轴或离轴全息.     

Stokes参量数字全息法实现相位物体成像

为实现对相位物体的无损检测和成像,克服数字同轴全息相位物体成像技术在消除零级像和孪生像的干扰时存在的系列问题,提出一种基于Stokes参量的新的数字同轴全息技术。该方法区别于传统的利用干涉光场来记录原始像项的数字全息方法,通过测量物参光合成光束的Stokes参量来分别得到这两束光的振幅和相位差,从而准确、唯一地获得原始像项;再利用数字再现即可重构物光的振幅和相位信息。实验中对弱吸收的相位样品进行了测量,得到样品清晰的振幅和相位分布。结果表明,采用该方法对相位物体进行数字全息再现,可以克服传统同轴全息图中零级像和共轭像对相位物体信息的严重干扰,对于提取相位物体的振幅和相位信息是可行和有效的。     

光子晶体表面结构的改变对成像的影响

负折射率材料因为其奇异的特性成为广泛研究的对象,尤其是光子晶体平板的完美成像.硅材料以其良好的物理性质成为当今集成光学领域中应用最广的材料之一.本文以硅介质柱在空气中周期性排列构成六角结构的光子晶体平板为例,运用平面波展开法进行光子晶体能带计算并运用时域有限差分法模拟改变光子晶体平板成像并讨论表面结构对成像的影响.光子晶体平板等效折射率为-1时,通过改变上下侧最外层介质柱的半径或是侧向移动最外层介质柱发现:当光子晶体平板表面结构发生改变时光子晶体平板仍能成像但像点强度发生变化.当光子晶体平板表面结构的改变在一定范围时,所成像的位置发生改变且位置变化符合光子晶体成像经典的Veselago关系;当光子晶体表面结构的变化超过该范围时,所成像与物的相位发生反相同时像点位置发生"巨变",此时Veselago关系已不成立.数值模拟表明:光子晶体平板表面结构的改变可以有效地改变该光子晶体平板所成像的强度、位置和相位.     

High-sensitivity holographic interferometry method for studying transparent objects with small transverse size

A new method for studying transparent objects with a small transverse size is considered. The method is based on lateral-shift holographic interferometry combining the displacement of the transparent object under investigation between the recordings of a pair of holographic interference patterns and their optical treatment. The interference patterns of the transparent object under investigation with a lateral shift equal to or larger than the linear size of the object are equivalent to the interference patterns obtained in a double-beam interferometer with a reference wave. In addition, such patterns are characterized by a higher sensitivity of imaging of optical inhomogeneities of the object under investigation. The results of experiments on testing this method for monitoring optical inhomogeneities of the active medium crystal of a solid-state laser are reported. The resultant interference patterns depict optical inhomogeneity of the crystal with a sensitivity 12 times higher.     

Gaussian beam scattering from arbitrarily shaped objects with rough surfaces

Abstract

The scattered field of Gaussian beam scattering from arbitrarily shaped dielectric objects with rough surfaces is investigated for optical and infrared frequencies by using the plane wave spectrum method and the Kirchhoff approximation, and the formulae for the coherent and incoherent scattering cross sections are obtained theoretically based on geometrical optics and tangent plane approximations. The infrared laser scattering cross sections of a rough sphere are calculated at 1.06 μm, and the influence of the beam size is analysed numerically. It is shown that when the beam size is much larger than the size of the object, the results in this paper will be close to those of an incident plane wave.     

Use of spatial filtering in imaging through a randomly inhomogeneous medium

Abstract

The possibility of improving the image quality of a coherently reflecting object, viewed through a randomly inhomogeneous medium, is investigated theoretically. Three cases of coherent illumination of the object by a plane wave are considered: illumination by unperturbed wave, illumination and viewing through different inhomogeneities of a medium, illumination and viewing through the same inhomogeneities. The spatial spectrum of the average intensity is investigated. It is shown that, when the fluctuations of the intensity in the plane of the receiving lens aperture are strong, the use of a suitable spatial filter located in the focal plane of the lens always gives an improvement of the image, but the quality of the image is better when illuminating and receiving optimal systems coincide.     

Image formation by inertialess dynamic holograms recorded in a medium with quadratic nonlinearity at different frequencies of the object and reference waves

It is shown theoretically and experimentally that the hologram recorded in a quadratically nonlinear medium is capable of forming the image in the case when the wavelengths of the object and reference beams are essentially different. The relations are derived that determine the wavelength of the reconstructed image, the direction of propagation of the restored beam, and the longitudinal shift of the reconstructed image depending on the wavelength of the beam scattered by the object. The experiment is carried out in a noncollinear arrange-ment of interaction of the object and reference waves in the KTP crystal. As a light source, a YAG:Nd laser (λ=1.064 μm) with a pulsewidth of 300 ps was used. The wavelength of the object wave was tuned by the Ba(NO₃)₂ crystal, which generated from one to three Stokes SRS components with the frequency shifts Δν, 2Δν, and 3Δν (Δν=1047 cm^?1). These components, upon interaction with the reference wave of the fundamental frequency formed the image at the wavelengths 0.532, 0.563, and 0.6 μm with an almost diffraction-limited quality. The experimental values of the angles of propagation of the beams that formed reconstructed images at different frequency shifts of the object wave corresponded to those predicted theoretically. We have confirmed the presence and direction of longitudinal shifts of the reconstructed images upon variation of the wavelength of the light scattered by the object. Thus, we have demonstrated the feasibility of the multicolor (multiwave) holographic generation of high-quality images separated in space. The inertialess nature of the beam coupling makes it possible to use the holograms of this type for ultrafast commutation of the information fluxes in optical computers and communication lines.     

Wavefront reconstruction by two-step generalized phase-shifting interferometry

A wavefront reconstruction method by two-step generalized phase-shifting interferometry (GPSI) with blind phase shift extraction algorithm is verified by both the computer simulations and optical experiments. This method can retrieve complex object wave field by using two interferograms, the recorded object and reference wave intensities, and an unknown phase shift without additional processing. The simulations with irregular wavefronts have shown the effectiveness and high accuracy of this method for blind phase-shift extraction and wavefront reconstruction over a wide range of phase-shifts, while the optical experiments for both the direct and indirect objects have yielded satisfactory results with a higher resolution of reconstructed image than those reported recently.     

Backscattering response from periodic spatial patterns in random media

Abstract

In wave-based remote sensing or radio-location of distant objects in a random medium, a high-frequency electromagnetic wave is scattered by object discontinuities, and portions of the scattered radiation can traverse the same random inhomogeneities as the initial incident field. The statistical dependence of the forward–backward travelling events results in an anomaly in the backscattered intensity pattern that carries information about the scattering object. The quality of this information depends on the ability to resolve the fine-structure elements. In this work we investigate the resolving properties of periodic spatial objects by using the random propagators of the stochastic geometrical theory of diffraction.     

Digital holography at millimetre wavelengths

In this paper, we describe a method for wavefront reconstruction at millimetre wavelengths using off-axis holography, a frequently used image recording technique at visible wavelengths first demonstrated in the 1960’s. Millimetre radiation has been highlighted recently in the imaging of non-conducting materials and objects, which often show significant transparency at these long wavelengths, even though opaque at visible and infrared wavelengths. Holography provides a method for recording a lens-less image of an object thus reducing loss of spatial frequency information, which is important for obtaining maximum resolution at long wavelengths. An experimental arrangement based on a simple form of Fresnel off-axis holography is described, with the object illumination and reference beams derived using two radiating horn antennas fed by a single coherent source (a Gunn diode oscillator operating at 100 GHz – wavelength 3 mm) via a 3 dB cross-guide coupler. The process is discussed in the context of imaging and in the validation of millimetre wave radiation sources (horns). We show that the entire fields from these and other components can be analysed using computational optics with data derived from a single measurement obtained using inexpensive equipment.     

Talbot interferometer with computer generated gratings

In a Talbot interferometer the self image of a periodic pattern, such as a Ronchi ruling of period d, illuminated by a monochromatic plane wavefront of wavelength λ, is formed at distances which are integral multiples of 2d²/λ. A refracting object placed in front of the Ronchi ruling distorts the self image. A computer generated pattern can be designed, such that, when placed in a self imaging plane, a uniform intensity or a distinct moire pattern characterising a standard object is obtained. A method of computing the required patterns and experimental results for some aspherical objects are described.     

实时全息术检测透明物的一种新方法

介绍了实时全息术检测透明物的一种新方法,它采用物光再现的参考光和参考光通过全息图的直透光所形成的干涉图纹检测透明物体的变化。证明了这组干涉图纹与用参考光再现的物光和物光通过全息图的直透光所形成的干涉图纹分布规律相似,仅在相位上相差π。还讨论了这组干涉图纹的衬比和获得最佳衬比的条件。此方法可消除物光光路上某些因素带来的相位畸变,避开待测物体自发光的干扰,并可在全息图后方任意位置进行记录,这使实时全息术在实践中更具有灵活性,有助于它在更广阔领域内的应用。     

Enhanced wavefront reconstruction by random phase modulation with a phase diffuser

A phase retrieval technique for enhanced wavefront reconstruction using random phase modulation and a phase diffuser is proposed. The speckle field generated is sampled at multiple axially displaced planes and the speckle patterns are used in an iterative algorithm based on the optical wave propagation in free space. The presentation of this technique is carried out using two setups. In the first setup, a diffuser plate is placed at the image plane of a metallic test object. The benefit of randomizing the phase of the object wave is the enhanced intensity recording due to high dynamic range of the diffusely scattered beam. The use of demagnification optics will also allow the investigations of relatively large objects. In the second setup, a transparent object is illuminated using a wavefront with random phase and constant amplitude by positioning the phase diffuser close to the object. The benefit of phase-only modulation is the increased resolution of the phase structures of the transparent test objects.     

Observation of small-angle contrast in refraction introscopy via full angular scanning

In this paper we describe experiments in an imaging scheme with two perfect crystals which demonstrate the possibility of using the full angular scanning of images by means of a crystal analyzer for separating absorption, refraction, and small-angle scattering in image formation. The possibility of determining the characteristics of heterogeneous objects using this method is discussed.     

Denisiuk-type reflection holography display with sillenite crystals for imaging and interferometry of small objects

A novel setup for imaging and interferometry through reflection holography with Bi₁₂TiO₂₀(BTO) sillenite photorefractive crystals is proposed. A variation of the lensless Denisiuk arrangement was developed resulting in a compact, robust and simple interferometer. A red He-Ne laser was used as light source and the holographic recording occurred by diffusion with the grating vector parallel to the crystal [0 0 1]-axis. In order to enhance the holographic image quality and reduce noise a polarizing beam splitter (PBS) was positioned at the BTO input and the crystal was tilted around the [0 0 1]-axis. This enabled the orthogonally polarized transmission and diffracted beams to be separated by the PBS, providing the holographic image only. The possibility of performing deformation and strain analysis as well as vibration measurement of small objects was demonstrated.     

Comparative analysis of Bragg and Laue diffraction from CdF2-CaF2 superlattices on Si(111)

Short-period superlattices (SL) with periods from 7 to 22 nm were grown by MBE in the CdF₂-CaF₂ system on Si(111). X-ray diffraction measurements of these structures in various reflection and transmission geometries demonstrate the possibility of producing such objects with a high crystal perfection. Specific features of diffraction from an SL with layers possessing substantially different diffracting abilities and strains of opposite signs with respect to the substrate are considered. The main parameters of the grown SLs have been obtained by simulation in semikinematic approximation. The applicability of the model of a perfect SL to objects with structural defects has been demonstrated. Fiz. Tverd. Tela (St. Petersburg) 40, 1563–1569 (August 1998)     

Output behavior based on writing occupancy in a photorefractive converter

In this paper, a one-dimensional image distribution is stored as modulation of birefringence in a BSO photorefractive crystal in an incoherent to coherent converter arrangement. The features of the read-out image under different write-in image magnifications of an input object are analyzed. In particular, characteristic parameters are introduced to assess the feasibility of an adequate recognition of the converted image. Experimental results under extinction configuration obtained by using intensity-normalized images are described.     

Dislocation configurations around a nanoindentation in the surface of a fcc metal

We report a scanning tunnelling microscopy investigation of the emission of dislocations around nanoindentations in the form of dislocation arrangements previously called hillocks , consisting of two pairs of Shockley partial dislocations, each encompassing a stacking fault. The spatial arrangement and size distribution of hillocks around the nanoindentation traces are studied. We show that standard dislocation theory for an isotropic continuum can be used to describe the stability of the hillocks, their size and spatial distribution and the broadening of the corresponding extended dislocations near the surface. A model is proposed in which hillocks originate from the split into dislocations partials of primary perfect dislocation loops punched into the crystal by the scanning tunnelling microscope tip. This model implies the operation of a novel dislocation mechanism involving long-range transport of matter across the surface.     

Degenerate four-wave mixing with a nonplanar object beam

We investigate the phase-conjugate fidelity of the image beam produced from a nonplanar object beam by means of degenerate four-wave mixing with two strong plane-wave pump beams. We represent the object wave by an angular superposition of plane-wave components and derive reflection coefficients for each of the components. As the equations are linearized in the strong pump-beam case, the image wave can be found by a linear superposition of the reflected plane-wave components. The result of this analysis shows that in general perfect phase conjugation does not occur because of the unequal interaction length of each plane-wave component in the nonlinear material.