Evolution and global charge conservation for polarization singularities emerging from non-Hermitian degeneracies.

Core concepts in singular optics, especially the polarization singularities, have rapidly penetrated the surging fields of topological and non-Hermitian photonics. For open photonic structures with non-Hermitian degeneracies in particular, polarization singularities would inevitably encounter another sweeping concept of Berry phase. Several investigations have discussed, in an inexplicit way, connections between both concepts, hinting at that nonzero topological charges for far-field polarizations on a loop are inextricably linked to its nontrivial Berry phase when degeneracies are enclosed. In this work, we reexamine the seminal photonic crystal slab that supports the fundamental two-level non-Hermitian degeneracies. Regardless of the invariance of nontrivial Berry phase (concerning near-field Bloch modes defined on the momentum torus) for different loops enclosing both degeneracies, we demonstrate that the associated far polarization fields (defined on the momentum sphere) exhibit topologically inequivalent patterns that are characterized by variant topological charges, including even the trivial scenario of zero charge. Moreover, the charge carried by the Fermi arc actually is not well defined, which could be different on opposite bands. It is further revealed that for both bands, the seemingly complex evolutions of polarizations are bounded by the global charge conservation, with extra points of circular polarizations playing indispensable roles. This indicates that although not directly associated with any local charges, the invariant Berry phase is directly linked to the globally conserved charge, physical principles underlying which have all been further clarified by a two-level Hamiltonian with an extra chirality term. Our work can potentially trigger extra explorations beyond photonics connecting Berry phase and singularities.

A Resource and Task Scheduling Based Multi-Objective Optimization Model and Algorithms in Elastic Optical Networks.

The elastic optical network (EON) adopting virtual network function (VNF) is a new type of network, in which the routing, spectrum, and data center allocation are key and challenging problems, and solving these three problems simultaneously can not only improve the network efficiency for network providers, but also let users obtain better service. However, few existing works handle these three problems simultaneously. To tackle the three problems simultaneously, given a set of network function chains (i.e., a set of tasks), we set up a new multi-objective optimization model in which the total length of paths for all tasks is minimized, the totally occupied spectrums are minimized, and the loads on all data centers are most balanced, simultaneously. To solve the model, we design two new evolutionary algorithms. The experiments are conducted on 16 cases of 4 widely used types of networks, and the results indicate that the proposed model and algorithms are effective.

Extremize Optical Chiralities through Polarization Singularities.

Chiral optical effects are generally quantified along some specific incident directions of exciting waves (especially for extrinsic chiralities of achiral structures) or defined as direction-independent properties by averaging the responses among all structure orientations. Though of great significance for various applications, chirality extremization (maximized or minimized) with respect to incident directions or structure orientations has not been explored, especially in a systematic manner. In this study we examine the chiral responses of open photonic structures from perspectives of quasinormal modes and polarization singularities of their far-field radiations. The nontrivial topology of the momentum sphere secures the existence of generic singularity directions along which mode radiations are either circularly or linearly polarized. When plane waves are incident along those directions, the reciprocity ensures ideal maximization and minimization of optical chiralities, for corresponding mode radiations of circular and linear polarizations, respectively. For directions of general elliptical polarizations, we have unveiled the subtle equality of a Stokes parameter and the circular dichroism, showing that an intrinsically (geometrically) chiral structure can unexpectedly exhibit no optical chirality at all or even optical chiralities of opposite handedness for different incident directions. The framework we establish can be applied to not only finite scattering bodies but also infinite structures, encompassing both intrinsic and extrinsic optical chiralities. We have effectively merged two vibrant disciplines of chiral and singular optics, which can potentially trigger more optical chirality-singularity related interdisciplinary studies.

On the constraints of electromagnetic multipoles for symmetric scatterers: eigenmode analysis.

The scattering and resonant properties of optical scatterers/resonators are determined by the relative ratios among the associated multipole components, the calculation of which usually is analytically tedious and numerically complicated for complex structures. Here we identify the constraints as well as the relative relations among electromagnetic multipoles for the eigenmodes of symmetric scatterers/resonators. By reducing the symmetry properties of the vector spherical harmonic waves to those of the modified generating functions, we systematically study the required conditions for electromagnetic multipoles under several fundamental symmetry operations, i.e., 2D rotation and reflection operations and 3D proper and improper rotations. Taking a 2D scatterer with C4v as an example, we show that each irreducible representation of C4v can be assigned to corresponding electromagnetic multipoles, and consequently the constraints of the electromagnetic multipoles can be easily extracted. Such group approach can easily be extended to more complex 3D scatterers with higher symmetry group. Subsequently, we use the same procedure to map out the complete relation and constraint on the electromagnetic multipoles of a 3D scatterer imposed by D3h symmetry. Our theoretical analyses are in perfect agreements with the fullwave finite element calculations of the eigenmodes of the symmetric scatters.

[Combined surgical and endovascular treatments of complex cerebral arteriovenous malformation in hybrid operating room].

OBJECTIVE: To summarize the clinical experiences of microsurgical and endovascular treatments of complicated arteriovenous malformation (AVM) in the conditions of hybrid operating room. METHODS: The clinical data were collected and analyzed for 8 patients of complex AVM between June 2012 to June 2013. There were Spetzler grade III (n = 2) and grade IV (n = 6). And the lesions were complicated with intracranial aneurysms (n = 3) and located in motor area (n = 2) and basal ganglia (n = 2). Five cases of AVM with cerebral hemorrhage underwent emergency surgery, including digital subtraction angiography (DSA) plus intraoperative embolization plus surgical resection of AVM plus intraoperative DSA (iDSA). Two cases underwent embolization plus aneurysm surgery while another had AVM embolization plus AVM resection and γ knife treatment. RESULTS: All surgical procedures, including iDSA, were completed in the same hybrid operating room. There was no change of surgical position or intraoperative mortality. Five patients of AVM hemorrhage undergoing emergency hematoma evacuation had no residue of AVM on iDSA. Their postoperative consciousness improved without neurological dysfunction. Two patients of limb paralysis recovered to paresis at 3 months postoperation. One case with blurry vision improved somewhat. Two cases undergoing elective surgery had a complete resection of AVM after embolization. CONCLUSION: Surgery plus endovascular treatment in hybrid operating room is efficacious for complex cerebral AVM. It avoids multiple surgeries and inspections. And any lesion residue may be assessed immediately with postoperative DSA.

Ideal Kerker scattering by homogeneous spheres: the role of gain or loss.

We investigate how the optical gain or loss (characterized by isotropic complex refractive indexes) influence the ideal Kerker scattering of exactly zero backward scattering. It was previously shown that, for non-magnetic homogeneous spheres with incident plane waves, either gain or loss prohibit ideal Kerker scattering, provided that only electric and magnetic multipoles of a specific order are present and contributions from other multipoles can all be made precisely zero. Here we reveal that, when two multipoles of a fixed order are perfectly matched in terms of both phase and magnitude, multipoles of at least the next two orders cannot possibly be tuned to be all precisely zero or even perfectly matched, and consequently cannot directly produce ideal Kerker scattering. Moreover, we further demonstrate that, when multipoles of different orders are simultaneously taken into consideration, loss or gain can serve as helpful rather than harmful contributing factors, for the elimination of backward scattering.

Global Mie Scattering: Polarization Morphologies and the Underlying Topological Invariant.

In various subdisciplines of optics and photonics, Mie theory has been serving as a fundamental language and playing indispensable roles widely. Conventional studies related to Mie scattering largely focus on local properties such as differential cross sections and angular polarization distributions. Though spatially integrated features of total cross sections in terms of both scattering and absorption are routine for investigations, they are intrinsically dependent on the specific morphologies of both the scattering bodies and the incident waves, consequently manifesting no sign of global invariance. Here, we propose a global Mie scattering theory to explore topological invariants for the characterization of scatterings by any obstacles of arbitrarily structured or polarized coherent light. It is revealed that, independent of distributions and interactions among the scattering bodies of arbitrary geometric and optical parameters, in the far field, inevitably, there are directions where the scatterings are either zero or circularly polarized. Furthermore, for each such singular direction, we can assign a half-integer index and the index sum of all those directions are bounded to be a global topological invariant of 2. The global Mie theory we propose, which is mathematically simple but conceptually penetrating, can render new perspectives for light scattering and topological photonics in both linear and nonlinear regimes and would potentially shed new light on the scattering of acoustic and matter waves of various forms.

Baicalin ameliorates experimental inflammatory bowel disease through polarization of macrophages to an M2 phenotype.

Inflammatory bowel diseases (IBDs) are chronic inflammatory disorders of the intestinal tract. Baicalin, originally isolated from the root of the Chinese herb Huangqin (Scutellaria baicalensis Georgi) and its main active ingredient, has a protective effect against inflammatory responses in several diseases. The present study investigated the effects of baicalin on macrophage polarization and its therapeutic role in IBD. Murine peritoneal macrophages and mice with colitis were treated with baicalin. Macrophage subset distribution, M1 and M2 macrophage-associated mRNA expression, and interferon regulatory factor 4 and 5 (IRF4 and IRF5) expression were analyzed. siRNA transfection into mouse peritoneal macrophages was utilized to suppress IRF4. Fluorescence-activated cell sorting, western blot, and real-time PCR analyses were performed. Baicalin (50µM) limited lipopolysaccharide (LPS)-induced M1 macrophage polarization; decreased LPS-induced tumor necrosis factor α, interleukin (IL)-23, and IRF5 expression; and increased IL-10, arginase-1 (Arg-1), and IRF4 expression. siRNA-mediated IRF4 silencing significantly impaired baicalin activity. Furthermore, pretreatment with baicalin (100mg/kg) in mice with dextran sodium sulfate (DSS)-induced colitis ameliorated the severity of colitis and significantly decreased the disease activity index (baicalin group, 3.33±0.52 vs. DSS group, 5.67±1.03). Baicalin (100mg/kg) also repressed IRF5 protein expression and promoted IRF4 protein expression in the lamina propria mononuclear cells, and induced macrophage polarization to the M2 phenotype. In summary, our results showed that baicalin upregulates IRF4 protein expression and reverses LPS-induced macrophage subset redistribution. Thus, baicalin alleviates DSS-induced colitis by modulating macrophage polarization to the M2 phenotype.