Improvement for optical mechanics method of coherent gradient sensing

Coherent gradient sensing (CGS) is double grating lateral-shearing interferometric technique with the simplicity of the optical set-up, non-contact, real-time, full-field optical information and variable resolution, which has shown many applications in the study of quasi-static as well as dynamic crack-tip field in both homogeneous and composite materials. It can be used both in a reflection mode (for opaque materials) and in a transmission mode (for transparent materials). The accuracy of the fringe order in the CGS interference image will deeply influence the precision of experimental study. Because of the difference in the optical principle from other optical methods, the fringe order of CGS cannot be obtained through the phase-shift technology. In this paper, a kind of modified CGS method is introduced and analyzed, which can accurately obtain the fringe order of random position in the CGS interference image. This method does not need additional optical set-up and complicated image processing techniques, but only needs several (greater than two) CGS interference images under different loadings. Static fracture experiments show that this method can evidently improve the precision of the CGS method.     

Coupling length due to random bending in multimode optical fibres

Mode coupling coefficients and coupling lengths are determined for multimode fibres with general index distributions in the case where random bending is the main cause of mode coupling. It is shown that the product of the coupling length and the coupling-induced loss is determined only by the shape of the index distribution, and that the coupling length of the focusing fibre is about four times longer than that of the step-index fibre when the coupling-induced losses of both fibres are equal.     

Partially coherent multiple-beam interference

The general formula for multiple-beam interference due to regular slit arrays illuminated with partially coherent quasi-monochromatic light is derived. The correlation functions chosen for partially coherent light assume Gaussian, sinc and besinc forms of correlation. The intensity distribution in the interference patterns is presented and discussed as a function of the spatial coherence condition. It is shown that spatial coherence of the illumination largely affects the features of multiple-beam interference patterns.     

Partially coherent conical beams

We introduce a new class of partially coherent beams that can propagate over large distances without changing their transverse profiles and their coherence properties. Such beams are generated by an incoherent superposition of identical fully coherent beams of arbitrary form, whose axes lie on a cone.     

Partially coherent nonparaxial beams

The concept of a partially coherent nonparaxial beam is proposed. A closed-form expression for the propagation of nonparaxial Gaussian Schell model (GSM) beams in free space is derived and applied to study the propagation properties of nonparaxial GSM beams. It is shown that for partially coherent nonparaxial beams a new parameter f(sigma) has to be introduced, which together with the parameter f, determines the beam nonparaxiality.     

The nonlinear dynamical stabilization of ps-pulses in gradient index optical fibres

The new possibilities of controlled nonlinear evaluation of short pulses in gradient index optical fibres, connected with the fundamental and higher modes of the fibre geometry and with the pulse envelope are analysed. The possibilities for using these phenomena for increasing the quantity of information transmitted by such pulses are discussed. The preferred regions for employment of both soliton and non-soliton powerful pulses in optical communication systems are identified.     

部分相干椭球光笼

从理论上研究部分相干光束经透镜聚焦的三维光强分布。研究结果表明,在几何焦点附近的光强分布不仅依赖于入射部分相干光束的光强分布,而且还依赖于入射光束的空间相干度。基于这一点,提出了一种控制部分相干光束的空间相干度,在几何焦点附近获得了类似椭球光笼形状的光强分布的新方法。通过控制入射部分相干光的空间相干度,来改变聚焦在几何焦点附近的三维光强分布,从而获得希望得到的光强分布。     

部分相干椭球光笼

 从理论上研究部分相干光束经透镜聚焦的三维光强分布。研究结果表明,在几何焦点附近的光强分布不仅依赖于入射部分相干光束的光强分布,而且还依赖于入射光束的空间相干度。基于这一点,提出了一种控制部分相干光束的空间相干度,在几何焦点附近获得了类似椭球光笼形状的光强分布的新方法。通过控制入射部分相干光的空间相干度,来改变聚焦在几何焦点附近的三维光强分布,从而获得希望得到的光强分布。     

Effect of structure random disturbances on characterizations of microstructured optical fibres

A method is presented to analyse the effect of structure random disturbances on the confinement loss and the chromatic dispersion characterizations of microstructured optical fibres, which combines multipole methods with the random statistics process. Some useful results to the fabrication of microstructured optical fibres have been obtained.     

Distribution function of the intensity of optical waves in random systems

Statistics of coherent radiation propagating in a random medium is analyzed in the framework of diagram technique. The distribution function for radiation intensity is calculated and it is shown, that only for small values of the argument the distribution function is a simple exponential, as predicted by Rayleigh statistics. For larger values of intensity the distribution function differs drastically from the simple exponential, and the asymptotical behavior is a stretched exponential. The results obtained are confirmed by numerical simulations.     

New phenomena in the propagation of optical waves through random media

A review is presented of some new and exciting phenomena regarding the multiple scattering of optical waves in random systems. In particular, the author develops the important role played by the vector nature of the wave on memory effects (the 'polarization memory effect'), correlations and statistical fluctuations ('microstatistics'). He also describes the recent progress on the effect of a restricted geometry on correlation phenomena and nonRayleigh statistics.     

New phenomena in the propagation of optical waves through random media

Abstract

A review is presented of some new and exciting phenomena regarding the multiple scattering of optical waves in random systems. In particular, the author develops the important role played by the vector nature of the wave on memory effects (the ‘polarization memory effect’), correlations and statistical fluctuations (‘microstatistics’). He also describes the recent progress on the effect of a restricted geometry on correlation phenomena and nonRayleigh statistics.     

Partially coherent nonparaxial modified Bessel--Gauss beams

The concept of partially coherent nonparaxial modified Bessel--Gauss (MBG) beams is proposed. Based on the generalized Rayleigh-Sommerfeld diffraction integral, the analytical propagation equations of nonparaxial MBG beams in free space are derived and analysed, and some special cases are discussed. In particular, under the paraxial approximation our results reduce to the corresponding paraxial ones. Numerical calculation examples are given to illustrate the dependence of intensity and spectral degree of coherence on the beam order $m$, \textit{$\xi $} and $f$ parameters, and to compare the difference between the paraxial and nonparaxial results.     

Partially coherent beam and its applications

The recent progresses on the propagation, generation and application of partially coherent beam (PCB) are reviewed in this paper. A new tensor ABCD law for treating the propagation of partially coherent Gaussian-Schell model (GSM) beams through a paraxial optical system is derived. The focusing, spectral shift and fractional Fourier transform of the GSM beam are investigated by using the tensor method. The generation of PCB with special optical resonator is studied both theoretically and experimentally. Furthermore, the ghost imaging and superluminal propagation of the PCB is discussed. The results show clearly that the coherence of light have strong influences on the ghost imaging and superluminal propagation.      

State and degree of polarization along single-polarization optical fibres with random perturbations

A numerical study of the state and degree of polarization along single-polarization fibres has been carried out on the basis of Müller-Stokes matrix approach and the mode coupling centre model. The general quasimonochromatic case is considered. Correspondence between polarization holdingh-parameter and the mode coupling centres' parameters has been established. The spectral average process has been considered and a novel criterion has been proposed. Expressions for the degree of polarization along the fibre have been derived for the cases of guided mode excitation and nonpolarized input. The degree of polarization has been shown to tend to a saturation level which depends on theh-parameter, the differential mode attenuation gD and the coherence lengthL in the fibre.     

Partially coherent acoustic images in layered refractive waveguides

This paper is devoted to the development of partially coherent acoustic images in plane-layered waveguides. In particular, we present the results of analysis of a structure by the frequency-contrast characteristic (FCC) of the imaging system, which determines the spatial resolution of images and shows the potentialities of spatial filtering of the space spectrum's components for different coherence of a lighting field.Institute of Applied Physics Russian Academy of Sciences, Nizhny Novgorod. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 38, Nos. 1–2, pp. 127–133, January–February, 1995.     

Aerosol-based coherent random laser

We demonstrate coherent random lasing from an aerosol of dye-doped microdroplets in air. The aerosol is in the form of a linear array of polydisperse, arbitrarily shaped, and randomly spaced microdroplets with average dimensions of about 30 μm. Upon optical excitation, ultranarrow lasing modes were observed in the emission along the axis of the linear array, while the transverse emission exhibited intrascatterer resonance peaks. Direct spatiospectral imaging and lasing threshold studies confirmed the origin of the lasing peaks to be from spatial modes that extended over the array of the polydisperse microdroplets.     

Partially coherent matter wave and its evolution

The evolution and propagation of a partially coherent matter wave (PCMW) is investigated theoretically by the correlation function method. The ABCD matrix formalism previously used for a fully coherent matter wave is extended to make it applicable for the PCMW. A new tensor ABCD law is derived, which makes the propagation and evolution of a PCMW very simple and clear. As an example, the evolution of the coherence of a PCMW in a gravitational field is calculated.     

Asymmetries in optical fibres

Two methods for treating the effects of small asymmetries in the cross sections of roughly cylindrical optical fibres are described. These predict the presence of stable power distributions, ribbons for example, within the fibre core. Experimental results on actual fibres showing these effects are given. To be effectively asymmetric a fibre of elliptical cross section need have major and minor diameters differing by only 0.08 μm.