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Time-of-flight resolved stimulated Raman scattering microscopy using counter-propagating ultraslow Bessel light bullets generation

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light(Science & Applications) 2024年第7期13卷 1427-1440页

作者： Shulang lin li gong Zhiwei Huang Optical Bioimaging Laboratory Department of Biomedical EngineeringCollege of Design and EngineeringNational University of SingaporeSingapore 117576Singapore

We present a novel time-of-flight resolved Bessel light bullet-enabled stimulated Raman scattering(B2-SRS)microscopy for deeper tissue 3D chemical imaging with high resolution without a need for mechanical *** accomplish the tasks,we conceive a unique method to enable optical sectioning by generating the counterpropagating pump and Stokes Bessel light bullets in the sample,in which the group velocities of the Bessel light bullets are made ultraslow(e.g.,vg≈0.1c)and tunable by introducing programmable angular dispersions with a spatial light *** theoretically analyze the working principle of the collinear multicolor Bessel light bullet generations and velocity controls with the relative time-of-flight resolved detection for SRS 3D deep tissue *** have also built the B2-SRS imaging system and present the first demonstration of B2-SRS microscopy with Bessel light bullets for 3D chemical imaging in a variety of samples(e.g.,polymer bead phantoms,biological samples such as spring onion tissue and porcine brain)with high *** B2-SRS technique provides a>2-fold improvement in imaging depth in porcine brain tissue compared to conventional SRS *** method of optical sectioning in tissue using counter-propagating ultraslow Bessel light bullets developed in B2-SRS is generic and easy to perform and can be readily extended to other nonlinear optical imaging modalities to advance 3D microscopic imaging in biological and biomedical systems and beyond.

关键词： Bessel resolved propagating

The Hamilton-Connectivity with the Degree Sum of Non-adjacent Subgraphs of Claw-free Graphs

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Acta Mathematicae Applicatae Sinica 2019年第3期35卷 580-590页

作者： Wei ZHENG li-gong WANG Department of Applied Mat hem a tics School of ScienceNorthwes tern Polytechnical Univers计yXi5an 710072China Xi'an-Budapest Joint Research Center for Combinatorics Northwestern Polytechnical UniversityXi'an 710129China

The degree d(H)of a subgraph H of a graph G is|u∈∪V(H)N(u)-V(H)|,where N(u)denotes the neighbor set of the vertex u of *** this paper,we prove the following result on the condition of the degrees of *** G be a 2-connected claw-free graph of order n with minimum degreeδ(G)≥*** for any three non-adjacent subgraphs H1,H2,H3 that are isomorphic to K1,K1,K2,respectively,there is d(H1)+d(H2)+d(H3)≥n+3,then for each pair of vertices u,v∈G that is not a cut set,there exists a Hamilton path between u and v.

关键词： Claw-free graph non-adjacent subgraph degree of subgraph Hamilton path

Infinitely many pairs of cospectral integral regular graphs

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Applied Mathematics(A Journal of Chinese Universities) 2011年第3期26卷 280-286页

作者： WANG li-gong SUN Hao Department of Applied Mathematics Northwestern Polytechnical University Xi＇an 710072 China.

A graph G is called integral if all the eigenvalues of the adjacency matrix A（G） of G are integers. In this paper, the graphs G4（a, b） and Gs（a, b） with 2a ＋ 6b vertices are defined. We give their characteristic polynomials from matrix theory and prove that the （n ＋ 2）-regular graphs G4（n, n＋ 2） and G5（n, n ＋ 2） are a pair of non-isomorphic connected cospectral integral regular graphs for any positive integer n.

关键词： Eigenvalue integral graph cospectral graph graph spectrum.

Weak Tensor Category and Related Generalized Hopf Algebras

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Acta Mathematica Sinica,English Series 2006年第4期22卷 1027-1046页

作者： Fang li gong Xiang liU Department of Mathematics Zhejiang University (Xixi Campus) Hangzhou 310028 P. R. China

There are at least two kinds of generalization of Hopf algebra, i.e. pre-Hopf algebra and weak Hopf algebra. Correspondingly, we have two kinds of generalized bialgebras, almost bialgebra and weak bialgebra. Let L = （L, ×, I, a, l, r） be a tensor category. By giving up I, l, r and keeping ×, a in L, the first author got so-called pre-tensor category L = （L, ×, a） and used it to characterize almost bialgebra and pre-Hopf algebra in Comm. in Algebra, 32（2）： 397-441 （2004）. Our aim in this paper is to generalize tensor category L = （L, ×, I, a, l, r） by weakening the natural isomorphisms l, r, i.e. exchanging the natural isomorphism ll^-1 = rr^-1 = id into regular natural transformations lll= l, rrr = r with some other conditions and get so-called weak tensor category so as to characterize weak bialgebra and weak Hopf algebra. The relations between these generalized （bialgebras） Hopf algebras and two kinds generalized tensor categories will be described by using of diagrams. Moreover, some related concepts and properties about weak tensor category will be discussed.

关键词： Weak tensor category Weak Hopf algebra Pre-Hopf algebra Strictization

Controlled cyclic remote preparation

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Communications in Theoretical Physics 2023年第10期75卷 60-70页

作者： li gong Songya Ma Junli Jiang Information Security Center State Key Laboratory of Networking and Switching TechnologyBeijing University of Posts and Telecommunications Beijing 100876China 2 School of Mathematics and StatisticsHenan UniversityKaifeng 475004China Institute of Mathematics Henan Academy of SciencesZhengzhou 450046China

Multi-party quantum communication has gradually attracted widespread *** realize the perfect transmission of quantum states among multiple participants,a novel multi-party controlled cyclic remote preparation protocol for arbitrary single-qubit states with three senders is *** the permission of one controller,each sender can transmit an arbitrary singlequbit state to its *** addition,we give a universal protocol for multi-party controlled cyclic remote preparation of arbitrary single-qubit states in the case of multiple senders,which can realize deterministic cyclic preparation of multiple quantum states in one *** scheme shows that the communication task can be successfully achieved only if all senders cooperate with the controller,and there is no need for the senders to employ information splitting and additional operations before performing ***,we discuss the cyclic remote preparation protocol with three senders under five types of noisy environment,and the closeness between the output state and original state is measured by calculating fidelity.

关键词： controlled cyclic remote preparation network coding measurement basis quantum noise fidelity

Compact,efficient diode-end-pumped Nd:GdVO_4 slab continuous-wave 912-nm laser

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Chinese Physics B 2012年第2期21卷 333-337页

作者： liu Huan gong Ma-li State Key Laboratory of Tribology Center for Photonics and ElectronicsDepartment of Precision Instruments and MechanologyTsinghua UniversityBeijing 100084China

A fiber-coupled laser-diode （LD） end-pumped Nd：GdVO4 slab continuous-wave （CW） 912-nm laser and an LD bar end-pumped Nd：GdVO4 slab CW 912-nm laser are both demonstrated in this paper. Using the fiber-coupled LD of end-pumped type, a highest CW 912-nm laser output power of 10.17 W is obtained with a high optical to-optical conversion efficiency of 24.6% and a slope efficiency of 34.5%. The measured M2 factors of beam quality in x and y directions are 5.3 and 5.1, respectively. Besides, an LD bar of end-pumped type is used to realize CW 912-nm laser output, which has the advantages of compactness and low cost. When the pump power is 38.8 W, the output power is 8.87 W and the measured M^2 factors of beam quality in x and y directions are 16 and 1.31, respectively. In order to improve the beam quality of the 912-nm laser at x direction, a new quasi-concentric laser resonator will be designed, and an LD bar end-pumped Nd：GdVO4 slab high-power CW 912-nm TEM00 laser will be realized in the future.

关键词： diode-end-pumped Nd:GdVO4 slab LD bar 912-nm laser

Microhydration of Alanine in Gas Phase Studied by Quantum Chemical Method and ABEEMσπ~/MM Fluctuating Charge Model

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Chemical Research in Chinese Universities 2013年第2期29卷 344-350页

作者： LU li-nan liU Cui gong li-dong Chemistry and Chemical Engineering Faculty Liaoning Normal University Dalian 116029 P. R. China

A fluctuating charge interaction potential function for alanine-water was constructed in the spirit of newly developed ABEEMax/MM（atom-bond electronegativity equalization method at the azc level fused into molecular mechanics）. The properties of gaseous neutral alanine-（H20）n（n=l--7） clusters were systematically investigated by quantum mechanics（QM） and the constructed ABEEMax/MM potential, such as conformations, hydrogen bonds （H-bonds）, interaction energies, charge distributions, and so on. The results of ABEEM^rrc/MM model are in fair agreement with those of QM and available experimental data. For isolated alanine, compared with those of experi- mental structure, the average absolute deviations（AAD） of bond length and bond angle are 0.002 nm and 1.4~, re- spectively. For alanine-water clusters, the AAD of interaction energies and H-bond lengths are only 3.77 kJ/mol and 0.012 nm, respectively, compared to the results of MP2/aug-cc-pVDZ//MP2/6-31 I＋G＊＊ method. The ABEEMa charges fluctuate with the changing conformation of the system, and can accurately and reasonably reflect the inter- polarization between water and alanine. The presented alanine-water potential function may provide a basis for fur- ther simulations on related aqueous solutions ofbiomolecules.

关键词： Alanine-water cluster ABEEMazc/MM fluctuating charge model Quantum chemical calculation Hydrogenbond Interaction energy

A curved surface solar radiation pressure force model for solar sail deformation

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Science China(Physics,Mechanics & Astronomy) 2012年第1期55卷 141-155页

作者： HE Jing gong ShengPing li JunFeng School of Aerospace Tsinghua University Beijing 100084 China

A precise force model is of vital importance for dynamics and control of solar sails. Among various factors, deviations from the ideal flat sails, elastic deformations of the sails, are really important as most solar sails are large flexible membranes. In this study, the deformed sails are modeled as smooth curved surfaces and a general total force model (GTFM) for the deformed sails is proposed. Various simplified versions of this GTFM are also derived for the symmetric deformation cases. Furthermore, differences between the ideal force models and our precise GTFM are investigated. The numerical results demonstrate that both the previous ideal reflected model and flat optical model are not as satisfactory as claimed before, by contrast with the actual dynamics from the GTFM. Thus this work paves the way for sail craft's precise navigation where exact forces are needed.

关键词： solar sail deformation curved surface solar radiation pressure force model

Formation reconfiguration in restricted three body problem

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Acta Mechanica Sinica 2007年第3期23卷 321-328页

作者： Shengping gong Junfeng li Hexi Baoyin Yunfeng Gao School of Aerospace Tsinghua UniversityBeijing 100084 China

Reconfiguration of formation flying around a halo orbit of the Sun-Earth restricted three body system is investigated with impulse maneuvers. For a short time reconfiguration, the two-impulse maneuver is investigated with both analytical and numerical methods and the Beginning-Ending （BE） method is proven to be an energy-optimal one of all two-impulse （TI） reconfigurations, and the energy consumption of BE is independent of the position of the chief spacecraft, and decreases with the reconfiguration time. Then, genetic algorithm is adopted to optimize the energy consumption. The results show that the optimal energy increases with radius difference between the initial and final orbits, and decreases with the reconfiguration time.

关键词： Three body problem Halo orbit Formation reconfiguration Formation flying