Conservative finite‐difference scheme for computer simulation of contrast 3D spatial‐temporal structures induced by a laser pulse in a semiconductor

Vyacheslav Trofimov; Maria Loginova; Vladimir Egorenkov

doi:10.1002/mma.6245

Conservative finite‐difference scheme for computer simulation of contrast 3D spatial‐temporal structures induced by a laser pulse in a semiconductor

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6245 ◽

2020 ◽

Vol 43 (7) ◽

pp. 4895-4917

Author(s):

Vyacheslav Trofimov ◽

Maria Loginova ◽

Vladimir Egorenkov

Keyword(s):

Computer Simulation ◽

Finite Difference ◽

Laser Pulse ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Conservative Finite Difference Scheme ◽

Temporal Structures

Download Full-text

Conservative finite-difference scheme for the problem of laser pulse propagation in a medium with third-order dispersion

East-West Design & Test Symposium (EWDTS 2013) ◽

10.1109/ewdts.2013.6673202 ◽

2013 ◽

Author(s):

Vyacheslav A. Trofimov ◽

Anton D. Denisov

Keyword(s):

Finite Difference ◽

Laser Pulse ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Pulse Propagation ◽

Third Order ◽

Third Order Dispersion ◽

Conservative Finite Difference Scheme ◽

Order Dispersion

Download Full-text

Conservative finite-difference scheme for a two-dimensional problem of plasma generation in a semiconductor under a laser pulse action

2010 10th International Conference on Laser and Fiber-Optical Networks Modeling ◽

10.1109/lfnm.2010.5624205 ◽

2010 ◽

Cited By ~ 1

Author(s):

Vyacheslav A. Trofimov ◽

Maria M. Loginova

Keyword(s):

Finite Difference ◽

Laser Pulse ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Pulse Action ◽

Two Dimensional ◽

Dimensional Problem ◽

Plasma Generation ◽

Conservative Finite Difference Scheme ◽

Laser Pulse Action

Download Full-text

Conservative finite-difference scheme for the problem of a femtosecond laser pulse with an axially symmetric profile propagating in a medium with cubic nonlinearity

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542507100090 ◽

2007 ◽

Vol 47 (10) ◽

pp. 1681-1701

Author(s):

A. G. Volkov ◽

V. A. Trofimov

Keyword(s):

Finite Difference ◽

Laser Pulse ◽

Femtosecond Laser ◽

Difference Scheme ◽

Femtosecond Laser Pulse ◽

Finite Difference Scheme ◽

Axially Symmetric ◽

Cubic Nonlinearity ◽

Conservative Finite Difference Scheme ◽

Symmetric Profile

Download Full-text

Conservative finite-difference scheme for the 2D problem of femtosecond laser pulse interaction with kink structure of high absorption in semiconductor

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1492117 ◽

2018 ◽

Vol 97 (1-2) ◽

pp. 207-244

Author(s):

Vyacheslav A. Trofimov ◽

Maria M. Loginova ◽

Vladimir A. Egorenkov

Keyword(s):

Finite Difference ◽

Laser Pulse ◽

Femtosecond Laser ◽

Difference Scheme ◽

Femtosecond Laser Pulse ◽

Finite Difference Scheme ◽

Conservative Finite Difference Scheme ◽

Laser Pulse Interaction ◽

High Absorption ◽

Kink Structure

Download Full-text

Conservative Finite-Difference Scheme for Computer Simulation of Field Optical Bistability

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-319-57099-0_78 ◽

2017 ◽

pp. 682-689 ◽

Cited By ~ 2

Author(s):

Vyacheslav A. Trofimov ◽

Maria M. Loginova ◽

Vladimir A. Egorenkov

Keyword(s):

Computer Simulation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Optical Bistability ◽

Conservative Finite Difference Scheme

Download Full-text

A new high-order accurate conservative finite difference scheme for the coupled nonlinear Schr\”odinger equations

10.22541/au.159440421.12716895 ◽

2020 ◽

Author(s):

Yuyu He ◽

X F Wang ◽

Weizhong dai ◽

YaQing Deng

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

High Order ◽

Conservative Finite Difference Scheme

Download Full-text

A stable and conservative finite difference scheme for the Cahn-Hilliard equation

Numerische Mathematik ◽

10.1007/pl00005429 ◽

2001 ◽

Vol 87 (4) ◽

pp. 675-699 ◽

Cited By ~ 166

Author(s):

Daisuke Furihata

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Hilliard Equation ◽

Conservative Finite Difference Scheme ◽

Cahn Hilliard Equation

Download Full-text

Conservative finite-difference scheme for the problem of propagation of a femtosecond pulse in a photonic crystal with combined nonlinearity

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554250612013x ◽

2006 ◽

Vol 46 (12) ◽

pp. 2154-2163 ◽

Cited By ~ 4

Author(s):

E. B. Tereshin ◽

V. A. Trofimov

Keyword(s):

Photonic Crystal ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Femtosecond Pulse ◽

Conservative Finite Difference Scheme

Download Full-text

On the conservative finite difference scheme for 2D nonlinear Schrödinger equation

Computer Physics Communications ◽

10.1016/s0010-4655(06)70082-0 ◽

1999 ◽

Vol 121-122 ◽

pp. 677

Author(s):

Yu.F. Kir'yanov ◽

M.L. Kudryavtseva ◽

M.V. Maslov ◽

I.V. Shestakova

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Nonlinear Schrödinger Equation ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Conservative Finite Difference Scheme

Download Full-text

Stability and convergence of a conservative finite difference scheme for the modified Hunter–Saxton equation

BIT Numerical Mathematics ◽

10.1007/s10543-018-0726-9 ◽

2018 ◽

Vol 59 (1) ◽

pp. 213-241 ◽

Cited By ~ 2

Author(s):

Shun Sato

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Stability And Convergence ◽

Conservative Finite Difference Scheme

Download Full-text