FPGA-based real time controller for high order correction in EDIFISE

2012 ◽  
Author(s):  
L. F. Rodríguez-Ramos ◽  
H. Chulani ◽  
Y. Martín ◽  
T. Dorta ◽  
A. Alonso ◽  
...  
Keyword(s):  
Real Time ◽  
High Order ◽  
Order Correction ◽  
High Order Correction

High order correction and sampling strategy for 45nm immersion lithography overlay control

2008 ◽  
Author(s):  
Bo Yun Hsueh ◽  
George K. C. Huang ◽  
Chun-Chi Yu ◽  
Jerry K. C. Hsu ◽  
Chin-Chou Kevin Huang ◽  
...  
Keyword(s):  
Sampling Strategy ◽  
High Order ◽  
Order Correction ◽  
High Order Correction ◽  
Immersion Lithography

scholarly journals High-order correction calculation for survival of Rydberg atoms in intense laser fields

2021 ◽  
Vol 22 ◽  
pp. 103594
Author(s):  
Jiajia Zha ◽  
Zhihao Qin ◽  
Jiayi Yan ◽  
Na Cao ◽  
Qi Wei ◽  
...  
Keyword(s):  
Rydberg Atoms ◽  
High Order ◽  
Order Correction ◽  
Intense Laser ◽  
High Order Correction ◽  
Intense Laser Fields ◽  
Laser Fields ◽  
Correction Calculation

Hybrid overlay metrology for high order correction by using CDSEM

2016 ◽  
Author(s):  
Philippe Leray ◽  
Sandip Halder ◽  
Gian Lorusso ◽  
Bart Baudemprez ◽  
Osamu Inoue ◽  
...  
Keyword(s):  
High Order ◽  
Order Correction ◽  
High Order Correction

Using intrafield high-order correction to achieve overlay requirement beyond sub-40nm node

2009 ◽  
Author(s):  
Chun Yen Huang ◽  
Chuei Fu Chue ◽  
An-Hsiung Liu ◽  
Wen Bin Wu ◽  
Chiang Lin Shih ◽  
...  
Keyword(s):  
High Order ◽  
Order Correction ◽  
High Order Correction

scholarly journals Gauge invariant canonical symplectic algorithms for real-time lattice strong-field quantum electrodynamics

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Qiang Chen ◽  
Jianyuan Xiao ◽  
Peifeng Fan
Keyword(s):  
Field Theory ◽  
Real Time ◽  
Quantum Electrodynamics ◽  
Symplectic Form ◽  
Strong Field ◽  
Relativistic Quantum ◽  
High Order ◽  
High Quality ◽  
Geometric Structures ◽  
Gauge Invariant

Abstract A class of high-order canonical symplectic structure-preserving geometric algorithms are developed for high-quality simulations of the quantized Dirac-Maxwell theory based strong-field quantum electrodynamics (SFQED) and relativistic quantum plasmas (RQP) phenomena. With minimal coupling, the Lagrangian density of an interacting bispinor-gauge fields theory is constructed in a conjugate real fields form. The canonical symplectic form and canonical equations of this field theory are obtained by the general Hamilton’s principle on cotangent bundle. Based on discrete exterior calculus, the gauge field components are discreted to form a cochain complex, and the bispinor components are naturally discreted on a staggered dual lattice as combinations of differential forms. With pull-back and push-forward gauge covariant derivatives, the discrete action is gauge invariant. A well-defined discrete canonical Poisson bracket generates a semi-discrete lattice canonical field theory (LCFT), which admits the canonical symplectic form, unitary property, gauge symmetry and discrete Poincaré subgroup, which are good approximations of the original continuous geometric structures. The Hamiltonian splitting method, Cayley transformation and symmetric composition technique are introduced to construct a class of high-order numerical schemes for the semi-discrete LCFT. These schemes involve two degenerate fermion flavors and are locally unconditional stable, which also preserve the geometric structures. Admitting Nielsen-Ninomiya theorem, the continuous chiral symmetry is partially broken on the lattice. As an extension, a pair of discrete chiral operators are introduced to reconstruct the lattice chirality. Equipped with statistically quantization-equivalent ensemble models of the Dirac vacuum and non-trivial plasma backgrounds, the schemes are expected to have excellent performance in secular simulations of relativistic quantum effects, where the numerical errors of conserved quantities are well bounded by very small values without coherent accumulation. The algorithms are verified in detail by numerical energy spectra. Real-time LCFT simulations are successfully implemented for the nonlinear Schwinger mechanism induced e-e+ pairs creation and vacuum Kerr effect, where the nonlinear and non-perturbative features captured by the solutions provide a complete strong-field physical picture in a very wide range, which open a new door toward high-quality simulations in SFQED and RQP fields.

scholarly journals A Predictive Technique for the Real-Time Trajectory Scaling under High-Order Constraints

2021 ◽  
pp. 1-1
Author(s):  
Corrado Guarinolobianco ◽  
Marco Faroni ◽  
Manuel Beschi ◽  
Antonio Visioli
Keyword(s):  
Real Time ◽  
High Order ◽  
The Real ◽  
Order Constraints
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