Spontaneous spatial fractal pattern formation in dispersive systems

J. G. Huang; J. M. Christian; G. S. McDonald

doi:10.1142/S0218863517500096

Spontaneous spatial fractal pattern formation in dispersive systems

J. G. Huang^*, J. M. Christian, G. S. McDonald

^*Corresponding author for this work

Faculty of Computing, Engineering and Science

Research output: Contribution to journal › Article › peer-review

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Abstract

We report spontaneous spatial optical fractal patterns in a ring cavity containing a thin slice of diffusive Kerr-type material. The Turing threshold instability condition is derived through linear analysis, and static patterns are found to be described by spectra with multiple-minimum characteristics. These theoretical predictions are subsequently verified through numerical simulations with both one and two transverse dimensions. Our findings support that a proposed fractal-generating criterion for nonlinear wave-based systems with thin-slice host media can have independence with respect to both system geometry and nonlinearity. We conclude by detailing further potential research directions and possible applications of fractal light sources.

Original language	English
Article number	1750009
Journal	Journal of Nonlinear Optical Physics and Materials
Volume	26
Issue number	1
DOIs	https://doi.org/10.1142/S0218863517500096
Publication status	Published - 1 Mar 2017

Keywords

ring cavity
Spatial fractals
Turing instability

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10.1142/S0218863517500096Licence: CC BY-NC-ND

JGHuang_JNOPMAccepted author manuscript, 1.51 MBLicence: CC BY-NC-ND

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N2 - We report spontaneous spatial optical fractal patterns in a ring cavity containing a thin slice of diffusive Kerr-type material. The Turing threshold instability condition is derived through linear analysis, and static patterns are found to be described by spectra with multiple-minimum characteristics. These theoretical predictions are subsequently verified through numerical simulations with both one and two transverse dimensions. Our findings support that a proposed fractal-generating criterion for nonlinear wave-based systems with thin-slice host media can have independence with respect to both system geometry and nonlinearity. We conclude by detailing further potential research directions and possible applications of fractal light sources.

AB - We report spontaneous spatial optical fractal patterns in a ring cavity containing a thin slice of diffusive Kerr-type material. The Turing threshold instability condition is derived through linear analysis, and static patterns are found to be described by spectra with multiple-minimum characteristics. These theoretical predictions are subsequently verified through numerical simulations with both one and two transverse dimensions. Our findings support that a proposed fractal-generating criterion for nonlinear wave-based systems with thin-slice host media can have independence with respect to both system geometry and nonlinearity. We conclude by detailing further potential research directions and possible applications of fractal light sources.

KW - ring cavity

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KW - Turing instability

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JO - Journal of Nonlinear Optical Physics and Materials

JF - Journal of Nonlinear Optical Physics and Materials

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Spontaneous spatial fractal pattern formation in dispersive systems

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