Simulation of white light generation and near light bullets using a novel numerical technique

Haider Zia (Corresponding Author)

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

An accurate and efficient simulation has been devised, employing a new numerical technique to simulate the derivative generalised non-linear Schrödinger equation in all three spatial dimensions and time. The simulation models all pertinent effects such as self-steepening and plasma for the non-linear propagation of ultrafast optical radiation in bulk material. Simulation results are compared to published experimental spectral data of an example ytterbium aluminum garnet system at 3.1 µm radiation and fits to within a factor of 5. The simulation shows that there is a stability point near the end of the 2 mm crystal where a quasi-light bullet (spatial temporal soliton) is present. Within this region, the pulse is collimated at a reduced diameter (factor of ∼2) and there exists a near temporal soliton at the spatial center. The temporal intensity within this stable region is compressed by a factor of ∼4 compared to the input. This study shows that the simulation highlights new physical phenomena based on the interplay of various linear, non-linear and plasma effects that go beyond the experiment and is thus integral to achieving accurate designs of white light generation systems for optical applications. An adaptive error reduction algorithm tailor made for this simulation will also be presented in appendix.

Original languageEnglish
Pages (from-to)356-376
Number of pages21
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume54
DOIs
Publication statusPublished - 1 Jan 2018

Fingerprint

Numerical Techniques
Solitons
Plasmas
Radiation
Ytterbium
Garnets
Nonlinear equations
Simulation
Derivatives
Aluminum
Plasma
Crystals
Error Reduction
Generalized Equation
Experiments
Nonlinear Equations
Simulation Model
Crystal
Propagation
Derivative

Keywords

  • Derivative generalised nonlinear Schrödinger equation
  • Light bullet
  • Non-linear PDE
  • Numerical simulation
  • Supercontinuum
  • White light generation

Cite this

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title = "Simulation of white light generation and near light bullets using a novel numerical technique",
abstract = "An accurate and efficient simulation has been devised, employing a new numerical technique to simulate the derivative generalised non-linear Schr{\"o}dinger equation in all three spatial dimensions and time. The simulation models all pertinent effects such as self-steepening and plasma for the non-linear propagation of ultrafast optical radiation in bulk material. Simulation results are compared to published experimental spectral data of an example ytterbium aluminum garnet system at 3.1 µm radiation and fits to within a factor of 5. The simulation shows that there is a stability point near the end of the 2 mm crystal where a quasi-light bullet (spatial temporal soliton) is present. Within this region, the pulse is collimated at a reduced diameter (factor of ∼2) and there exists a near temporal soliton at the spatial center. The temporal intensity within this stable region is compressed by a factor of ∼4 compared to the input. This study shows that the simulation highlights new physical phenomena based on the interplay of various linear, non-linear and plasma effects that go beyond the experiment and is thus integral to achieving accurate designs of white light generation systems for optical applications. An adaptive error reduction algorithm tailor made for this simulation will also be presented in appendix.",
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Simulation of white light generation and near light bullets using a novel numerical technique. / Zia, Haider (Corresponding Author).

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 54, 01.01.2018, p. 356-376.

Research output: Contribution to journalArticleAcademicpeer-review

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