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Found 61 Documents (Results 1–61)

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Conservative finite-difference scheme for computer simulation of field optical bistability. (English) Zbl 1371.82146

Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 682-689 (2017).
MSC:  82D37 78A60 82-08 65M06
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Visualization of the simulation results for multi-dimensional interaction of laser radiation with a photonic crystal. (English. Russian original) Zbl 1254.78029

Comput. Math. Model. 22, No. 1, 69-80 (2011); translation from Prikl. Mat. Inf. 34, 79-92 (2010).
MSC:  78A60 68U10
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Parallel numerical algorithm for simulation of counter propagation of two laser beams. (English) Zbl 1220.78085

Fitt, Alistair D. (ed.) et al., Progress in industrial mathematics at ECMI 2008. Proceedings of the 15th European conference on mathematics for industry, London, UK, June 30 - July 4, 2008. Berlin: Springer (ISBN 978-3-642-12109-8/hbk; 978-3-642-12110-4/ebook). Mathematics in Industry 15, 771-776 (2010).
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Achieving high-efficiency second harmonic generation in a sequence of laser pulses with random peak intensity. III: Propagation of pulses in a bulk medium. (English. Russian original) Zbl 1179.78101

Comput. Math. Model. 20, No. 2, 101-112 (2009); translation from Prikl. Mat. Inf. 29, 5-18 (2008).
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Achieving high-efficiency second harmonic generation in a sequence of laser pulses with random peak intensity. II: Suppression of intensity fluctuations in a quadratic-nonlinearity medium. (English. Russian original) Zbl 1179.78100

Comput. Math. Model. 20, No. 1, 1-25 (2009); translation from Prikl. Mat. Inf. 28, 5-36 (2008).
MSC:  78A60 78A48 78A40
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A numerical method for calculating solitons of the nonlinear Schödinger equation in the axially symmetric case. (English. Russian original) Zbl 1175.65132

Mosc. Univ. Comput. Math. Cybern. 33, No. 3, 117-126 (2009); translation from Vestn. Mosk. Univ., Ser. XV. 2009, No. 3, 12-19 (2009).
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Achieving high-efficiency second harmonic generation in a sequence of laser pulses with random peak intensity. I: Efficient generation in optical fibers. (English. Russian original) Zbl 1179.78099

Comput. Math. Model. 19, No. 4, 333-342 (2008); translation from Prikl. Mat. Inf. 27, 5-24 (2007).
MSC:  78A60 78A48
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Conservative difference scheme for the problem of femtosecond pulse propagation in layered absorbing medium with nonreflecting boundary conditions. (English, Russian) Zbl 1153.65353

Mosc. Univ. Comput. Math. Cybern. 2006, No. 4, 13-20 (2006); translation from Vestn. Mosk. Univ., Ser. XV 2006, No. 4, 15-22 (2006).
MSC:  65M06 78A20
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On the efficiency of some difference schemes for problems of nonlinear interaction of optical radiation with a semiconductor. (English. Russian original) Zbl 1138.82032

Differ. Equ. 42, No. 8, 1189-1198 (2006); translation from Differ. Uravn. 42, No. 8, 1123-1131 (2006).
MSC:  82D37 65M06 78A60
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On a difference method for finding eigenmodes of the nonlinear Schrödinger equation. (Russian, English) Zbl 1105.78008

Vestn. Mosk. Univ., Ser. XV 2005, No. 3, 16-22 (2005); translation in Mosc. Univ. Comput. Math. Cybern. 2005, No. 3, 1-8 (2005).
MSC:  78A60 78M20 35Q55
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Conservative difference schemes for some problems of femtosecond nonlinear optics. (English. Russian original) Zbl 1103.78005

Differ. Equ. 41, No. 7, 953-962 (2005); translation from Differ. Uravn. 41, No. 7, 908-917 (2005).
MSC:  78M20 65M06 78A60
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Difference scheme for three-frequency interaction of femtosecond pulses in the presence of nonlinear response dispersion. (English. Russian original) Zbl 1089.78019

Comput. Math. Model. 16, No. 3, 214-221 (2005); translation from Prikl. Mat. Inf. 17, 31-39 (2004).
MSC:  78A60 78M20
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Soliton-like regime of femtosecond laser pulse propogation in bulk media under the conditions of SHG. (English) Zbl 1118.78308

Li, Zhilin (ed.) et al., Numerical analysis and its applications. Third international conference, NAA 2004, Rousse, Bulgaria, June 29 – July 3, 2004. Revised selected papers. Berlin: Springer (ISBN 3-540-24937-0/pbk). Lecture Notes in Computer Science 3401, 543-550 (2005).
MSC:  78A60
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Comparison of some difference schemes for problem of femtosecond pulse interaction with semiconductor in the case of nonlinear mobility coefficient. (English) Zbl 1118.78307

Li, Zhilin (ed.) et al., Numerical analysis and its applications. Third international conference, NAA 2004, Rousse, Bulgaria, June 29 – July 3, 2004. Revised selected papers. Berlin: Springer (ISBN 3-540-24937-0/pbk). Lecture Notes in Computer Science 3401, 535-542 (2005).
MSC:  78A60
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Conservative difference scheme for summary frequency generation of femtosecond pulse. (English) Zbl 1118.78306

Li, Zhilin (ed.) et al., Numerical analysis and its applications. Third international conference, NAA 2004, Rousse, Bulgaria, June 29 – July 3, 2004. Revised selected papers. Berlin: Springer (ISBN 3-540-24937-0/pbk). Lecture Notes in Computer Science 3401, 527-534 (2005).
MSC:  78A60
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Comparison of efficiency of various approaches to computer simulation of nonlinear interaction of three femtosecond pulses in optical fiber. (Russian, English) Zbl 1105.78007

Vestn. Mosk. Univ., Ser. XV 2004, No. 3, 12-19 (2004); translation in Mosc. Univ. Comput. Math. Cybern. 2004, No. 3, 12-20 (2004).
MSC:  78A60 78M20 35J05
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Comparison of certain finite-difference schemes for the problem of femtosecond impulse action on a semiconductor. (Russian, English) Zbl 1088.78007

Vestn. Mosk. Univ., Ser. XV 2004, No. 1, 10-16 (2004); translation in Mosc. Univ. Comput. Math. Cybern. 2004, No. 1, 15-23 (2004).
MSC:  78M20 78A60 82D37
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Mathematical modelling the optical bistability based on a light-induced electric field. (Russian, English) Zbl 1147.78303

Vestn. Mosk. Univ., Ser. XV 2003, No. 1, 20-27 (2003); translation in Mosc. Univ. Comput. Math. Cybern. 2003, No. 1, 22-29 (2003).
MSC:  78A15 78M20
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The conservative difference scheme for the problem of femtosecond laser pulse propagation through a medium with a cubic nonlinearity. (Russian, English) Zbl 1078.81600

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 11, 1709-1721 (2003); translation in Comput. Math. Math. Phys. 43, No. 11, 1644-1656 (2003).
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A conservative difference scheme for the problem of two-wave interaction of femtosecond pulses in photonic crystals. (Russian, English) Zbl 1083.78517

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 10, 1530-1535 (2003); translation in Comput. Math. Math. Phys. 43, No. 10, 1472-1477 (2003).
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Studying difference schemes for the problem of femtosecond pulse action in a photonic crystal. (English. Russian original) Zbl 1050.78012

Mosc. Univ. Comput. Math. Cybern. 2003, No. 2, 13-20 (2003); translation from Vestn. Mosk. Univ., Ser. XV 2003, No. 2, 20-26 (2003).
MSC:  78M05 78A10
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Invariants of nonlinear propagation of femtosecond laser pulses through a medium with non-stationary response. (Russian, English) Zbl 1140.78317

Zh. Vychisl. Mat. Mat. Fiz. 42, No. 12, 1831-1835 (2002); translation in Comput. Math. Math. Phys. 42, No. 12, 1759-1763 (2002).
MSC:  78A60 78M20 35J10
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Invariants of nonlinear interaction of femtosecond pulses in the presence of third-order dispersion. (Russian, English) Zbl 1056.81100

Zh. Vychisl. Mat. Mat. Fiz. 42, No. 5, 709-717 (2002); translation in Comput. Math. Math. Phys. 42, No. 5, 679-687 (2002).
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Bistability and uniqueness of solutions in the problem of second harmonic generation of femtosecond pulses. (English. Russian original) Zbl 1029.35205

Comput. Math. Math. Phys. 41, No. 8, 1214-1226 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 8, 1275-1288 (2001).
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Invariants of femtosecond pulse propagation in photonic crystals. (English. Russian original) Zbl 1114.78357

Comput. Math. Math. Phys. 41, No. 9, 1358-1362 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 9, 1429-1433 (2001).
MSC:  78A60 35Q55 78M20
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Simulation of soliton solutions for the propagation of a femtosecond pulse in a medium with a cubic nonlinearity. (English. Russian original) Zbl 0964.78013

Comput. Math. Model. 11, No. 3, 266-270 (2000); translation from Prikl. Mat. Inf. 2, 63-68 (1999).
MSC:  78A60 65L15 78M20
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Time-dependent processes in collinear interaction of colliding light beams in a system with a reflecting mirror. (English. Russian original) Zbl 1099.78523

Comput. Math. Model. 11, No. 4, 401-407 (2000); translation from Prikl. Mat. Inf. 3, 81-89 (1999).
MSC:  78A60
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Algorithm for solving a nonlinear differential equation with a linear entering of an eigenvalue. (English. Russian original) Zbl 0979.78026

Mosc. Univ. Comput. Math. Cybern. 1999, No. 3, 7-10 (1999); translation from Vestn. Mosk. Univ., Ser. XV 1999, No. 3, 9-11 (1999).
MSC:  78A60
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An invariant of femtosecond-pulse propagation in a nonlinear absorptive medium. (English. Russian original) Zbl 0964.78012

Comput. Math. Math. Phys. 38, No. 12, 1974-1977 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 12, 2055-2059 (1998).
MSC:  78A60 78M20
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On a new approach to the simulation of the nonlinear propagation of ultrashort laser pulses. (English. Russian original) Zbl 0953.78005

Comput. Math. Math. Phys. 38, No. 5, 805-809 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 5, 835-839 (1998).
MSC:  78A60 78M20 35Q55
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Formation of laser-induced localized spatial structures in semiconductors in the presence of optical bistability. (English. Russian original) Zbl 0935.78011

Comput. Math. Model. 10, No. 3, 267-273 (1999); translation from Chisl. Met. Mat. Fiz., Mosk. Gos. Univ. 1998, 67-75 (1998).
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Lagrangian of the process of generation of the second harmonic of femtosecond light pulses. (English. Russian original) Zbl 0959.35155

Differ. Equations 34, No. 7, 997-999 (1998); translation from Differ. Uravn. 34, No. 7, 993-995 (1998).
MSC:  35Q55 78A60 35Q51
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On convergence of numerical methods for light pulses thermal self-action problems. (English. Russian original) Zbl 0753.65095

Mosc. Univ. Comput. Math. Cybern. 1990, No. 3, 38-44 (1990); translation from Vestn. Mosk. Univ., Ser. XV 1990, No. 3, 41-48 (1990).
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Mathematical modelling in nonlinear optics. (Matematicheskoe modelirovanie v nelinejnoj optike.) (Russian) Zbl 0704.65049

Moskva: Izdatel’stvo Moskovskogo Gosudarstvennogo Universiteta. 156 p. R. 2.00 (1989).
Reviewer: I.Ginchev
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Difference methods for certain problems of propagation of optical radiation in a chemically active medium. (English. Russian original) Zbl 0632.65123

Mosc. Univ. Comput. Math. Cybern. 1987, No. 2, 36-43 (1987); translation from Vestn. Mosk. Univ., Ser. XV 1987, No. 2, 29-36 (1987).
Reviewer: E.V.Nicolau
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