Optics of nonstationary media

Shvartsburg, A. B.

doi:10.1070/pu2005v048n08abeh002119

Cited by 62 publications

(31 citation statements)

References 62 publications

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“…These parameters, which govern the polarization response of the media, change their values during the pulse continuance (Gutman, 1998;Gutman, 1999). Thus, solutions of Maxwell equations with time-dependent coefficients are required for the analysis of the wave dynamics (Shvartsburg, 2005;Shvartsburg, 2002). In our study, we consider an approach such that under a single USCP excitation, the change in the relative position of a bound electron to its parent atom without ionization will change the amplitude of the dipole in the atom and so forth the instantaneous polarization.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In order to understand the USCP-medium interaction phenomenon, we must acquire certain special features such as operating directly with Maxwell equations beyond the scope of Fourier representations [ (Shvartsburg, 1998;Wang et al, 1997;Shvartsburg, 1996;Shvartsburg, 1999). Since the situations occur where the time scale of the pulse is equal or shorter than the relaxation time of the medium, material has no time to establish its response parameters during the essential part of the pulse continuance (Gutman, 1998;Gutman 1999;Daniel 1967;Shvartsburg 2005;Shvartsburg 2002). These parameters, which govern the polarization response of the media, change their values during the pulse continuance (Gutman, 1998;Gutman, 1999).…”

Section: Mathematical Modelmentioning

confidence: 99%

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Modeling the Interaction of a Single-Cycle Laser Pulse with a Bound Electron without Ionization

Parali¹,

Alexander²

2010

Coherence and Ultrashort Pulse Laser Emission

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Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Modeling the Interaction of a Single-Cycle Laser Pulse with a Bound Electron without Ionization

Parali¹,

Alexander²

2010

Coherence and Ultrashort Pulse Laser Emission

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“…Since the situations occur where the time scale of the pulse is equal or shorter than the relaxation time of the medium, material has no time to establish its response parameters during the essential part of the pulse continuance [23,[33][34][35][36]. These parameters, which govern the polarization response of the media, change their values during the pulse continuance [23,33].…”

Section: Mathematical Modelmentioning

confidence: 99%

“…These parameters, which govern the polarization response of the media, change their values during the pulse continuance [23,33]. Thus, solutions of Maxwell equations with timedependent coefficients are required for the analysis of the wave dynamics [35,36].…”

Section: Mathematical Modelmentioning

confidence: 99%

Interaction of a single-cycle laser pulse with a bound electron without ionization

Parali

Alexander

2010

Opt. Express

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Abstract:In this paper, interaction of an ultrashort single-cycle pulse (USCP) with a bound electron without ionization is reported for the first time. For a more realistic mathematical description of USCPs, Hermitian polynomials and combination of Laguerre functions are used for two different single cycle excitation cases. These single cycle pulse models are used as driving functions for the classical approach to model the interaction of a bound electron with an applied electric field. A new novel time-domain technique was developed for modifying the classical Lorentz damped oscillator model in order to make it compatible with USCP excitation. This modification turned the Lorentz oscillator model equation into a Hill-like function with non-periodic time varying damping and spring coefficients. Numerical results are presented for two different excitation models and for varying spring and damping constants. Our two driving model excitations provide quite different time response of the bound electron. Different polarization response will subsequently result in relative differences in the time dependent index of refraction. ©2010 Optical Society of America

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“…Such temporal gratings are the subject of research in linear [4,5] and nonlinear optics [6]. Equations (1) can be derived for these physical settings from full CPEs which explicitly contain the spatial and temporal modulations as mechanisms for the wavenumber and frequency matching [24].…”

mentioning

confidence: 99%

Breathing solitary-pulse pairs in a linearly coupled system

2014

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It is shown that pairs of solitary pulses (SPs) in a linearly-coupled system with opposite group-velocity dispersions form robust breathing bound states. The system can be realized by temporal-modulation coupling of SPs with different carrier frequencies propagating in the same medium, or by coupling of SPs in a dual-core waveguide. Broad SP pairs are produced in a virtually exact form by means of the variational approximation. Strong nonlinearity tends to destroy the periodic evolution of the SP pairs.

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Optics of nonstationary media

Cited by 62 publications

References 62 publications

Modeling the Interaction of a Single-Cycle Laser Pulse with a Bound Electron without Ionization

Modeling the Interaction of a Single-Cycle Laser Pulse with a Bound Electron without Ionization

Interaction of a single-cycle laser pulse with a bound electron without ionization

Breathing solitary-pulse pairs in a linearly coupled system

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