Self-similar pulse-shape mode for femtosecond pulse propagation in medium with resonant nonlinearity

机译：具有共振非线性的飞秒脉冲在介质中传播的自相似脉冲形状模式

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We investigate the mode of laser pulse propagation in homogeneous medium with resonant nonlinearity, at which the shape of pulse is self-similar one along some distance of propagation. We take into account a laser pulse frequency detuning from resonant frequency. Both types of sign for frequency detuning are considered. This results in appearance of a refractive index grating which induced self-action of a laser pulse. I certain cases we develop analytical solution of corresponding nonlinear eigenfunction problem of laser pulse propagation in medium for multi-photon resonance. This solution is confirmed by computer simulation of an eigenfunction problem for Schrodinger equation with considered nonlinearity. Using computer simulation, one shows a validity of existence of such kind of laser pulse propagation in a medium with resonant nonlinear response.

机译：我们研究了具有共振非线性的均质介质中激光脉冲传播的模式，在这种模式下，脉冲的形状沿传播距离是自相似的。我们考虑了激光脉冲频率与谐振频率失谐的情况。考虑了用于频率失谐的两种符号。这导致了引起激光脉冲自作用的折射率光栅的出现。在某些情况下，我们开发了相应的非线性激光脉冲函数在多光子共振介质中传播的非线性本征函数的解析解。该解决方案通过考虑了非线性的Schrodinger方程的本征函数问题的计算机仿真得到了证实。通过计算机仿真，可以证明在具有共振非线性响应的介质中存在这种激光脉冲传播的有效性。

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来源
《Nonlinear Optics and Its Applications VIII; and Quantum Optics III》|2014年|91360Z.1-91360Z.10|共10页
会议地点 Brussels(BE)
作者
Vyacheslav A. Trofimov; Irina G.Zakharova; Swapan Konar;
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作者单位

Lomonosov Moscow State University, Leninskie Gory, Moscow, 119992, Russia;

Lomonosov Moscow State University, Leninskie Gory, Moscow, 119992, Russia;

Birla Institute of Technology, Mesra-835215, Ranchi, India;

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原文格式 PDF
正文语种 eng
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关键词
femtosecond pulse; nonlinear absorption; resonant nonlinearity; laser pulse frequency detuning from resonant frequency; self-similar shape of pulse; eigenvalue problem; soliton;

机译：飞秒脉冲；非线性吸收共振非线性激光脉冲频率从谐振频率失谐；自相似的脉冲形状；特征值问题孤子;

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专利

1. Interference resonant propagation and spectral properties of two-colour femtosecond Gaussian pulses in three-level A-type atomic medium [J] . Zhendong Wang, Tingting Liu, Jianling Ma, Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter . 2014,第Null期

机译：三能级A型原子介质中双色飞秒高斯脉冲的干涉共振传播和光谱特性
2. Relative carrier-envelope phase dependence of resonant propagation of two-colour femtosecond pulses in V-type atomic medium [J] . 谭霞, 王振东, 王蕾, 中国物理：英文版 . 2010,第006期

机译：V型原子介质中双色飞秒脉冲共振传播的相对载流子相位相位依赖性
3. Relative carrier-envelope phase dependence of resonant propagation of two-colour femtosecond Pulses in Ⅴ-type atomic medium [J] . Tan Xia, Wang Zhen-Dong, Wang Lei, 中国物理：英文版 . 2010,第006期
4. Self-similar pulse shape mode for femtosecond pulse propagation in optical fiber with multi-photon absorption and nonlinear refraction [C] . Vyacheslav A. Trofimov, Irina G.Zakharova, Dmitry A. Smotrov, Micro-structured and specialty optical fibres II . 2013

机译：飞秒脉冲在光纤中具有多光子吸收和非线性折射的自相似脉冲形状模式
5. Study of the nonlinear propagation of femtosecond laser pulses. [D] . Centurion, Martin. 2005

机译：飞秒激光脉冲的非线性传播研究。
6. Full 3D modelling of pulse propagation enables efficient nonlinear frequency conversion with low energy laser pulses in a single-element tripler [O] . Tomasz M. Kardaś, Michał Nejbauer, Paweł Wnuk, -1

机译：脉冲传播的完整3D建模可在单元素三元组中利用低能激光脉冲实现高效的非线性频率转换
7. I. Mode Locking and Ultrashort Laser Pulses by a Refractive Index Nonlinearity. II. A Theoretical Study of Optical Wave Propagation Through a Random Medium and its Application to Optical Communication [O] . Laussade Jean-Pierre Raymond Henri 1969

机译：I.通过折射率非线性的模式锁定和超短激光脉冲。 II。随机介质中光波传播的理论研究及其在光通信中的应用
8. Propagation of the Ultrashort Light Pulses in a Resonant Medium. [R] . Harney, R. C. 1977

机译：超短光脉冲在共振介质中的传播。

Self-similar pulse-shape mode for femtosecond pulse propagation in medium with resonant nonlinearity

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