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| 1 | THE BLOW-UP PROPERTIES FOR A DEGENERATE SEMILINEAR PARABOL IC EQUATION WITH NONL OCAL SOURCE显示文摘This paper deals with the blow up properties of the positive solutions to the nonlocal degenerate semilinear parabolic equation u t-(x αu x) x=∫ a 0f(u) d x in (0,a)×(0,T) under homogeneous Dirichlet conditions. The local existence and uniqueness of classical solution are established. Under appropriate hypotheses, the global existence and blow up in finite time of positive solutions are obtained. It is also proved that the blow up set is almost the whole domain. This differs from the local case. Furthermore, the blow up rate is precisely determined for the special case: f(u)=u p,p>1. | Chen Youpeng Liu Qilin Xie ChunhongDept. of Math., Nanjing Univ.,Nanjing 210093,China. | 2002 | Applied Mathematics(A Journal of Chinese Universities)2002，17，4： | 5 |
| 2 | Optical orbital angular momentum multiplexing communication via inversely-designed multiphase plane light conversion显示文摘Multiplexing and demultiplexing of optical orbital angular momentum(OAM)are critical operations in modedivision multiplexing communications.Traditional Dammann gratings,spiral phase planes,and optical geometric transformations are regarded as convenient methods for OAM mode(de)multiplexing.However,crosstalk between the different modes and the difficulty of mode multiplexing greatly limit their application to modedivision multiplexing communications.Here,using a set of inversely-designed phase planes,we demonstrate an OAM(de)multiplexer based on multiphase plane light conversion that can enable perfect OAM multiplexing communication.The sorted patterns are Gaussian-like and can be coupled easily into single-mode fiber arrays.Inputs from the fiber array are turned into coaxial OAM modes after the phase planes.OAM mode crosstalk generated by the multiplexer is less than-20 d B,with insertion loss of less than 2.6 d B.OAM modes are sorted by the demultiplexer with mode crosstalk below-10 d B,and the sorting results are coupled to the fiber array.OAM modes carrying 10 Gbit/s on–off keying signals were transmitted in a 5 km few-mode fiber.The measured bit-error-rate curves have power penalties of less than 10 d B.The proposed configuration is highly efficient and convenient and will be beneficial for potential applications in quantum information,information processing,and optical communications. | JUNCHENG FANG JINPEI LI ARU KONG YOUPENG XIE CHUXUAN LIN ZHENWEI XIE TING LEI XIAOCONG YUAN | 2022 | Photonics Research2022，10，9： | 3 |
| 3 | Multifunctional geometric phase optical element for high-efficiency full Stokes imaging polarimetry显示文摘Polarization imaging finds applications in many areas, such as photoelasticity, ellipsometry, and biomedical imaging. A compact, snapshot, and high-efficiency imaging polarimeter is highly desirable for many applications.Here, based on a single multifunctional geometric phase optical element(GPOE), a new method is proposed for high-efficiency snapshot imaging polarimetry. With tailored spatially varying orientation of each anisotropic unit cell, the GPOE works highly efficiently as both a spin sorter and a half-wave plate, enabling snapshot retrieving of a full Stokes vector of incident light. The designed GPOE is implemented in the form of liquid crystal fabricated with a photo-alignment technology, and its application in imaging polarimetry is experimentally demonstrated by retrieving full Stokes parameters of a cylinder vector beam. This method can also work in the form of plasmonic or dielectric metasurfaces, enabling ultra-compact polarization detection systems by monolithic integration with other devices such as metalenses. | YANMENG DAI YUQUAN ZHANG YOUPENG XIE DAPENG WANG XIANYOU WANG ITING LEI CHANGJUN MIN XIAOCONG YUAN | 2019 | Photonics Research2019，7，9： | 3 |
| 4 | Blow-Up for Degenerate Parabolic Equations with Nonlocal Source 显示文摘 | Chen Youpeng Liu Qilin Xie Chunhong | 2003 | Pro AMS2003，132，1： | 1 |
| 5 | Blow-up for a porous medi?um equation with a localized source显示文摘 | Chen Youpeng Xie Chunhong | 2004 | Appl Math Comput2004，159，1： | 1 |
| 6 | Devel-opment and testing of a simple physically-based distribu- ted rainfall-runoff model for storm runoff simulation in humid forested basins 显示文摘 | Du Jinkang Xie Shunping Xu Youpeng | 2007 | Journal of Hydrology2007，336，34： | 1 |
| 7 | Blow- up for porous medium equation with a localized source显示文摘 | CHEN Youpeng XIE Chunhortg | 2004 | Appl Math Compution2004，159，： | 1 |
| 8 | High-speed Stokes vector receiver enabled by a spin-dependent optical grating显示文摘Stokes vector direct detection is a promising,cost-effective technology for short-distance communication applications.Here,we design and fabricate a spin-dependent liquid crystal grating to detect light polarization states.By separating the circular and linear components of incident light,the polarization states can be resolved with accuracy of up to 0.25°.We achieved Stokes vector direct detection of quadrature phase-shift keying(QPSK),8 PSK,and16-ary quadrature amplitude modulation signals with 32,16,and 16 GBd rates,respectively.We integrated the system,including the grating,photodetectors,and optical elements,on a miniaturized printed circuit board and demonstrated high-speed optical communications with 16 GBd rate QPSK signals. | YOUPENG XIE TING LEI DAWEI WANG JIANXIN REN YANMENG DAI YANJUN CHEN LUPING DU BO LIU ZHAOHUI LI XIAOCONG YUAN | 2021 | Photonics Research2021，9，8： | 1 |
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