Ultrashort Laser Pulses Applications

Samad, Ricardo Elgul; Courrol, Lilia Coronato; Baldochi, S.L.; Vieira, Nilson D.

doi:10.5772/13095

Cited by 12 publications

(13 citation statements)

References 163 publications

(147 reference statements)

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“…There it was approved that  = ½, that leads to stable and reasonable results. All variables with the k-index in Equation (8) are known as well as all variables with the (k + 1) indexes are known at n equal to 0, 1, 2 and N from Equation (2). The values of F (i) are attributed to middleware virtual mesh points between (k+ , n -½).…”

Section: The Finite-difference Scheme and Computing Schemementioning

confidence: 99%

“…The introduction of our previous work [1] completely reveals the reasons and importance and the necessity of the problem formulation. It is necessary to emphasize, that pulse propagation in fibers with abnormal dispersion is an important investigation theme because the femtosecond lasers have a strong position in the industrial [2][3][4][5]. The special optical fibers are developed for high-power ultrashort pulses [6][7] transmission with special attention to polarization maintaining fibers.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Method for Coupled Nonlinear Schrödinger Equations in Few Mode Fiber

Anfinogentov¹,

Morozov²,

Burdin³

et al. 2020

Preprint

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This paper discusses approaches to the numerical integration of the coupled nonlinear Schrödinger equations system in case of few-mode wave propagation. The wave propagation assumes the propagation of up to nine modes of light in an optical fiber. In this case, the light propagation is described by the non-linear coupled Schrödinger equation system, where propagation of each mode is described by own Schrödinger equation with other modes interactions. In this case, the non-linear coupled Schrödinger equation system solving becomes increasingly complex, because each mode affects the propagation of other modes. The suggested solution is based on the direct numerical integration approach, which is based on a finite-difference integration scheme. The well-known explicit finite-difference integration scheme approach fails, due to the non-stability of the computing scheme. Due to this fact, the combined explicit/implicit finite-difference integration scheme, based on the implicit Crank–Nicolson finite-difference scheme, is used. It allows ensuring the stability of the computing scheme. Moreover, this approach allows separating the whole equation system on the independent equation system for each wave mode at each integration step. Additionally, the algorithm of numerical solution refining at each step and the integration method with automatic integration step selection are used. The suggested approach has performance gains (or resolutions) up to three or more orders of magnitude in comparison with the split-step Fourier method due to the fact that there is no need to produce direct and inverse Fourier transforms at each integration step. The main advantage of the proposed method is the ability to calculate the propagation of an arbitrary number of modes in the fiber.

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Section: The Finite-difference Scheme and Computing Schemementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Method for Coupled Nonlinear Schrödinger Equations in Few Mode Fiber

Anfinogentov¹,

Morozov²,

Burdin³

et al. 2020

Preprint

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show abstract

“…If the target is a nonlinear crystal used for sum-frequency generation, this technique can be used to determine the shape and relative arrival time of two short pulses. If the sample consists absorbing materials normally one uses pump-probe experiments for temporal registrations of events [1,[21][22][23][24][25][26][27][28][29][30]. Therefore, if we want to measure the dynamics of a fast event, we have to apply a faster tool to do it.…”

Section: Measurements and Instrumentationsmentioning

confidence: 99%

Ultrafast Time-Resolved Spectroscopy

Nánai¹,

Beke²,

Sugioka³

2011

Femtosecond-Scale Optics

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“…Muitas são as aplicações de lasers nas mais variadas áreas do conhecimento, como na da saúde [3] , industria [4] , dentre outras [5,6] . Dentro dos diversos tipos de laser existentes, destacam-se os laser de pulsos ultracurtos [7] e as suas aplicações [8] , que decorrem da sua curta duração temporal e altas intensidades. Estes lasers são capazes de produzir pulsos com potência de pico altíssimas mesmo com energias de moderadas, ou seja, um pulso de 50 fs (50×10 -15 s) com uma energia de 1 mJ exibe uma potência de pico de 20 GW.…”

Section: Introductionunclassified

“…Um dos campos de ampla utilização de lasers de pulsos ultracurtos é a microusinagem, decorrente da capacidade destes pulsos de ablacionarem qualquer material com grande precisão e com indução de danos colaterais quase inexistente [8,35,36] . elétrons/cm 3 ).…”

Section: Introductionunclassified

Determinação da dependência temporal dos parâmetros de ablação por pulsos ultracurtos de sólidos não-metálicos pela técnica D-Scan

Rocha¹

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Ultrashort Laser Pulses Applications

Cited by 12 publications

References 163 publications

Numerical Method for Coupled Nonlinear Schrödinger Equations in Few Mode Fiber

Numerical Method for Coupled Nonlinear Schrödinger Equations in Few Mode Fiber

Ultrafast Time-Resolved Spectroscopy

Determinação da dependência temporal dos parâmetros de ablação por pulsos ultracurtos de sólidos não-metálicos pela técnica D-Scan

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