scholarly journals On a Complex-Symplectic Mirror Pair

2017 ◽  
Vol 2018 (22) ◽  
pp. 6934-6960
Author(s):  
Marco Aldi ◽  
Reimundo Heluani
Keyword(s):  
Mirror Pair ◽  
Complex Symplectic

scholarly journals Transverse Hilbert schemes and completely integrable systems

2017 ◽  
Vol 4 (1) ◽  
pp. 263-272 ◽  
Author(s):  
Niccolò Lora Lamia Donin
Keyword(s):  
Integrable Systems ◽  
Hilbert Scheme ◽  
Symplectic Form ◽  
Initial Surface ◽  
Hilbert Schemes ◽  
Completely Integrable Systems ◽  
Completely Integrable ◽  
Symplectic Surface ◽  
Complex Symplectic ◽  
Minimum Polynomial

Abstract In this paper we consider a special class of completely integrable systems that arise as transverse Hilbert schemes of d points of a complex symplectic surface S projecting onto ℂ via a surjective map p which is a submersion outside a discrete subset of S. We explicitly endow the transverse Hilbert scheme Sp[d] with a symplectic form and an endomorphism A of its tangent space with 2-dimensional eigenspaces and such that its characteristic polynomial is the square of its minimum polynomial and show it has the maximal number of commuting Hamiltonians.We then provide the inverse construction, starting from a 2ddimensional holomorphic integrable system W which has an endomorphism A: TW → TW satisfying the above properties and recover our initial surface S with W ≌ Sp[d].

Low Vibration and High Dispersion Mirror Pair in Femtosecond Pulsed Ti∶sapphire Laser

2018 ◽  
Vol 45 (10) ◽  
pp. 1003001
Author(s):  
刘加 Liu Jia ◽  
王胭脂 Wang Yanzhi ◽  
赵睿睿 Zhao Ruirui ◽  
郭可升 Guo Kesheng ◽  
陈瑞溢 Chen Ruiyi ◽  
...  
Keyword(s):  
Sapphire Laser ◽  
High Dispersion ◽  
Mirror Pair

Principle and Tolerance Analysis of a Rotating Parallel-mirror-pair Spectrometer

2016 ◽  
Vol 45 (5) ◽  
pp. 512001
Author(s):  
才啟胜 CAI Qi-sheng ◽  
相里斌 XIANG-LI Bin ◽  
方煜 FANG Yu ◽  
谭政 TAN Zheng
Keyword(s):  
Tolerance Analysis ◽  
Mirror Pair

scholarly journals MIRROR SYMMETRY ON ARBITRARY DIMENSIONAL CALABI-YAU MANIFOLD WITH A FEW MODULI

1995 ◽  
Vol 10 (23) ◽  
pp. 1677-1684 ◽  
Author(s):  
MASARU NAGURA
Keyword(s):  
Mirror Symmetry ◽  
Toric Geometry ◽  
Mirror Pair

We calculate the B-model on the mirror pair of X2N−2(2, 2, …, 2, 1, 1), which is an (N−2)-dimensional Calabi-Yau manifold and has two marginal operators, i.e. h1,1(X2N−2(2, 2, …, 2, 1, 1))=2. In Ref. 1 we have discussed about mirror symmetry on XN(1, 1, …, 1) and its mirror pair. However, XN(1, 1, …, 1) had only one moduli. In this letter, we extend its methods to the case with a few moduli using toric geometry.

A NEW XUV BEAMLINE ON A MULTI-POLE WIGGLER IN THE SRS

2002 ◽  
Vol 09 (01) ◽  
pp. 577-581 ◽  
Author(s):  
M. BOWLER ◽  
J. B. WEST ◽  
F. M. QUINN ◽  
D. M. P. HOLLAND ◽  
B. FELL ◽  
...  
Keyword(s):  
Synchrotron Radiation ◽  
Energy Range ◽  
Radiation Source ◽  
High Field ◽  
Ring Current ◽  
Scientific Research ◽  
Research Programme ◽  
Resolving Power ◽  
High Flux ◽  
Mirror Pair

An XUV beamline has been constructed on the SRS synchrotron radiation source at Daresbury Laboratory, exploiting the output from a 2 T multi-pole wiggler. The beamline is based on an SGM design and produces photons in the energy range 40–350 eV. By taking a 7.5 mrad fan, a high flux of between 1 × 1013 and 1 × 1014 photons/s/300 mA ring current can be delivered, with a resolving power of around 1000. A Kirkpatrick–Baez mirror pair focuses the light onto the entrance slit of the monochromator. Using 10 · m entrance and exit slits, a resolving power of up to 10,000 can be achieved, with a flux of 0.5–2 × 1011 photons/s/300 mA. The calculated and measured performance is presented, with emphasis on the challenges associated with utilizing the XUV output of a high field MPW source. In addition, the scientific research programme is outlined.

A KB-Focusing Mirror Pair for a VUV-Raman Spectrometer at FLASH – Mirror Metrology and Ray Tracing Results

2010 ◽  
Author(s):  
Frank Siewert ◽  
Ruben Reininger ◽  
Michael A. Rübhausen ◽  
R. Garrett ◽  
I. Gentle ◽  
...  
Keyword(s):  
Ray Tracing ◽  
Raman Spectrometer ◽  
Mirror Pair

A micro-focusing and high-flux-throughput beamline design using a bending magnet for microscopic XAFS at the High Energy Photon Source

2019 ◽  
Vol 26 (5) ◽  
pp. 1835-1842
Author(s):  
Kun Tang ◽  
Lei Zheng ◽  
Yi Dong Zhao ◽  
Shu Hu Liu ◽  
Chen Yan Ma ◽  
...  
Keyword(s):  
Optical Design ◽  
High Energy ◽  
X Rays ◽  
High Energy Photon ◽  
Virtual Source ◽  
Energy Photon ◽  
Synchrotron Source ◽  
Full Field ◽  
Mirror Pair ◽  
Photon Source

An optical design study of a bending-magnet beamline, based on multi-bend achromat storage ring lattices, at the High Energy Photon Source, to be built in Beijing, China, is described. The main purpose of the beamline design is to produce a micro-scale beam from a bending-magnet source with little flux loss through apertures. To maximize the flux of the focal spot, the synchrotron source will be 1:1 imaged to a virtual source by a toroidal mirror; a mirror pair will be used to collimate the virtual source into quasi-parallel light which will be refocused by a Kirkpatrick–Baez mirror pair. In the case presented here, a beamline for tender X-rays ranging from 2.1 keV to 7.8 keV, with a spot size of approximately 7 µm (H) × 6 µm (V) and flux up to 2 × 1012 photons s−1, can be achieved for the purpose of X-ray absorption fine-structure (XAFS)-related experiments, such as scanning micro-XAFS and full-field nano-XAFS.

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