Measurement of the morphological forms of polarization singularities and their statistical weights in optical vector fields

Using the developed optical method, elliptically polarized fields were taken as examples for the experimental measurement of all three possible morphological forms in the vicinities of the circular polarization points and of their statistical weights in generic speckle fields.     

Observation of spatially coherent polarization vector fields and visualization of vector singularities

We present experimental observations of polarization vector fields from a highly isotropic microchip laser with a large Fresnel number. The experimental polarization vector field leads to complex entanglement of spatial structures and polarization states. We theoretically derive the representation of generalized coherent states to reconstruct the experimental polarization-resolved patterns. The analytical and precise reconstruction enables the vector singularities to be clearly visualized.     

Comparative study on the propagation performance of coherently combined and incoherently combined beams

Taking phase error, turbulent atmosphere, jitter, vacancy factor and tilt error into consideration, we propose a general propagation formula for both coherent and incoherent combined beams with different kinds of aberrations. Comparative study on the propagation performance of coherent and incoherent combined beams is presented. Beam propagation factor (BPF) defined as laser output power in a specified far-field bucket divided by the total output power radiating from the effective near-field exit aperture of the laser beam is introduced as the beam quality factor to give a quantitative study. It is revealed that the coherent combined beam has great advantage when propagating in free-space compared with the incoherent combined beams. However, the coherent combined beam is more sensitive to the environmental aberrations, and the beam quality degrades faster with an increase in the aberrations’ intensity. Scintillation index as the high moments of the combined intensity field is also studied. It is revealed that both coherent and incoherent combined beams exhibit less scintillations compared with a single-aperture beam, and the incoherent combined beam demonstrates better scintillations reducing the performance. Our methodology offers an all-round performance evaluation on the two kinds of laser systems.     

Composite vector fields and tumbling gauge theories

In non-abelian gauge theories with a non-real fermion content it is possible that vector channels become more attractive than the most attractive scalar channel. It is speculated that the appearance of a vector condensate may signal the presence of massless composite vector fields which gauge a flavour symmetry of the underlying model, as is suggested by earlier work on non-linear spinor models.     

相干和非相干合成光束对金属瑞利粒子的光学俘获

研究了两光束的合成方式(相干和非相干合成)对俘获金属瑞利粒子的辐射力和稳定性的影响,着重研究了辐射力与合成方式、离轴距离、相干参数和粒子半径的关系.结果表明,不同合成方式下,离轴距离和相干参数都分别存在临界值d_c和α_c,在0d_c或α>α_c时,焦面处光强呈中心凹陷分布,此时横向梯度力不能作为回复力俘获金属瑞利粒子.在0<d≤d_c时,与非相干合成光束比较,相干合成光束在焦面处光强、辐射力、俘获刚性和纵向俘获范围更大.因此,适当选择合成方式,较小离轴距离和较低相干参数可有利于合成光束对金属瑞利粒子的俘获.     

Local observations of phase singularities in optical fields in waveguide structures

A linear copolymer made of two reciprocally attracting N-monomer blocks collapses to a compact phase through a novel transition, whose exponents are determined with extensive Monte Carlo simulations in two and three dimensions. In the former case, an identification with the statistical geometry of suitable percolation paths allows one to predict that the number of contacts between the blocks grows like N9/16. In the compact phase the blocks are mixed and, in two dimensions, also zipped, in such a way to form a spiral, double chain structure.     

Hyperboloid structures formed by polarization singularities in coherent vector fields with longitudinal-transverse coupling

The propagation-dependent polarization vector fields are experimentally created from an isotropic microchip laser with a longitudinal-transverse coupling and entanglement of the polarization states. The experimental three-dimensional coherent vector fields are analytically reconstructed with a coherent superposition of orthogonal circularly polarized vortex modes. Each polarized component is found to comprise two Laguerre-Gaussian modes with different topological charges. With the analytical representation, the polarization singularities, on which the electric polarization ellipse is purely circular (C lines) or purely linear (L surfaces), are explored. The C line singularities are found to form an intriguing hyperboloidal structure.     

Topological scenarios of the creation and annihilation of polarization singularities in nonstationary optical fields

The dynamics of the polarization structure of the speckle field of the photo-induced scattering in LiNbO₃:Fe (unsteady regime) has been analyzed with the use of the methods of the modified Stokes polarimetry. It has been shown that the creation and annihilation of pairs of circularly polarized points (C points) in varying singular elliptically polarized fields proceed via two topological scenarios. It has been found that the creation of pairs of C points is preceded by the appearance of a region where the average ellipticity is larger than the values in the neighboring regions. A similar structure holds after the annihilation of C points.     

Directional singularities in Weyl gravitational fields

The Kretschmann scalar R_μνϱσR^μνϱσ is evaluated for an arbitrary, axially symmetric Weyl gravitational field. From the analysis of this scalar it is found that certain Weyl solutions exhibit directional type singularities, i.e., the singular behaviour of the scalar depends upon the direction by which the singular point is approached.     

Experimental measurements of topological singularity screening in random paraxial scalar and vector optical fields

There exists a substantial body of theory that predicts mutual screening of signed topological singularities (topological charges) in random optical fields (speckle patterns). Such screening appears to be rather mysterious because there are neither energetic nor entropic reasons for its existence. We present the first experimental confirmation of mutual screening by the stationary points of the intensity, the canonical optical scalar field, and of mutual screening by C points in elliptically polarized light, the generic optical vector field. We also elucidate specific aspects of the geometry and topology of these fields that we argue give rise to screening.     

Relation between optical breakdown field and stokes spectral broadening

The process which limits the diameter of self focal spots must also limit the Stokes self phase modulated spectral width. A simple analysis is consistent with data for nsec pulses in organic liquids.     

非相干饱和光折变空间光孤子对的半解析研究

用函数级数展开方法讨论和计算了非相干饱和光折变空间孤子对,针对较普遍性,从几个方面论证了解的收敛性及其演化的稳定性.并首次从系统的计算和讨论中得出在饱和参量一定的光折变介质中,其孤波的特性受到一定的限制.     

Measurement of the vector character of electric fields by optical second-harmonic generation

We present a scheme for the determination of the vector nature of an electric field by optical second-harmonic generation. We demonstrate the technique by mapping the two-dimensional electric-field vector of a biased transmission line structure on silicon with a spatial resolution of ~10mum .     

Polarization singularities in 2D and 3D speckle fields

The 3D structure of randomly polarized light fields is exemplified by its polarization singularities: lines along which the polarization is purely circular (C lines) and surfaces on which the polarization is linear (L surfaces). We visualize these polarization singularities experimentally in vector laser speckle fields, and in numerical simulations of random wave superpositions. Our results confirm previous analytical predictions [M. R. Dennis, Opt. Commun. 213, 201 (2002)] regarding the statistical distribution of types of C points and relate their 2D properties to their 3D structure.     

Massive vector fields and black holes

A massive vector field inside the event horizon created by the static sources located outside the black hole is investigated. It is shown that the back-reaction of such a field on the metric nearr=0 cannot be neglected. The possibility of the space-time structure changing nearr=0 due to the external massive field is discussed.On leave of absence from P. N. Lebedev Physical Institute, Moscow, USSR.