Self-phase modulation and frequency generation with few-cycle optical pulses in nonlinear dispersive media

Drozdov, A. A.; Kozlov, S. A.; Sukhorukov, Andrey A.; Kivshar, Yuri S.

doi:10.1103/physreva.86.053822

Cited by 35 publications

(31 citation statements)

References 40 publications

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“…However it is difficult to extract useful design information from these complicated formulas; this requires either asymptotic analysis or various simplifying assumptions [12,13]. In our study, we combine scattering theory, Fourier, traveling wave and asymptotic analyses together with one-dimensional finite-difference time-domain (FDTD) numerical simulations [3,14,15] to provide interesting and practically useful scattering properties of thin films. We illustrate numerically the linear interaction of the pulse with the film using both scattering theory and Fourier analysis.…”

Section: Introductionmentioning

confidence: 99%

Scattering of a short electromagnetic pulse from a Lorentz–Duffing film: Theoretical and numerical analysis

et al. 2019

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We combine scattering theory, Fourier, traveling wave and asymptotic analyses together with numerical simulations to present interesting and practically useful properties of femtosecond pulse interaction with thin films. The dispersive material is described by a single resonance Lorentz model and its nonlinear extension with a cubic Duffing-type nonlinearity. A key feature of the Lorentz dielectric function is that its real part becomes negative between its zero and its pole, generating a forbidden region. We illustrate numerically the linear interaction of the pulse with the film using both scattering theory and Fourier analysis. Outside this region we show the generation of a sequence of pulses separated by round trips in the Fabry-Perot cavity due to multiple reflections. When the pulse spectrum is inside the forbidden region, we observe total reflection. Near the pole of the dielectric function, we demonstrate the slowing down of the pulse (group velocity tending to zero) in the medium that behaves as a high-Q cavity. We use the combination of analysis and simulations in the linear regime to validate the delta function approximation of the thin layer; this collapses the forbidden region to a single resonant point of the spectrum. We also study the single cycle pulse interaction with a thin film and show three distinct types of reflection: half-pulse, sinusoidal wave train and cosine wavelet. Finally we analyze the influence of a strong nonlinearity and observe that the film switches from reflecting to trasparent.

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Section: Introductionmentioning

confidence: 99%

Scattering of a short electromagnetic pulse from a Lorentz–Duffing film: Theoretical and numerical analysis

et al. 2019

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“…In this case, one can treat the dynamics of the electric field of a THz wave in an optical medium using the formalism described in the Ref. [24]. For waves with a spectrum in the range between 0 and 12 THz, the nonlinear refractive index doubles in value; one can no longer neglect the dispersion of n 2 when analyzing the interaction of a broad-spectrum radiation with an optical medium.…”

Section: Dispersion Of the Nonlinear Refractive Index In The Thz Smentioning

confidence: 99%

Prediction of an extremely large nonlinear refractive index for crystals at terahertz frequencies

et al. 2015

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We develop a simple analytical model for calculating the vibrational contribution to the nonlinear refractive index n2 (Kerr coefficient) of a crystal in terms of known crystalline parameters such as the linear refractive index, the coefficient of thermal expansion, atomic density, and the reduced mass and the natural oscillation frequency of the vibrational modes of the crystal lattice. We show that the value of this contribution in the terahertz spectral region can exceed the value of the nonlinear refractive index n2 in the visible and near-IR spectral ranges (which is largely electronic in origin) by several orders of magnitude. For example, for crystal quartz the value of the Kerr coefficient in the low-frequency limit is n2 = 2.2 × 10 −9 esu or equivalently is 4.4 × 10 −16 m 2 /W, which is very much larger than its value of 3 × 10 −20 m 2 /W in the visible range. Furthermore, we present an analysis of the dispersion of n2 in the terahertz spectral range and show that even larger values of n2 occur for frequencies close to the vibrational resonances.

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“…The pulse propagation was modeled in terms of the evolution of the instantaneous electric field [1,2] and not its envelope. The use of the field equation allows on the correctly describe the generation of radiation at tripled and higher frequencies [1]. We show two-dimensional plots of the electric field distribution in Figures 1-3.…”

Section: Numerical Illustrationsmentioning

confidence: 99%

Disappearance of Self-Focusing for Few-Cycle THz Pulses

et al. 2018

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Self-phase modulation and frequency generation with few-cycle optical pulses in nonlinear dispersive media

Cited by 35 publications

References 40 publications

Scattering of a short electromagnetic pulse from a Lorentz–Duffing film: Theoretical and numerical analysis

Scattering of a short electromagnetic pulse from a Lorentz–Duffing film: Theoretical and numerical analysis

Prediction of an extremely large nonlinear refractive index for crystals at terahertz frequencies

Disappearance of Self-Focusing for Few-Cycle THz Pulses

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