Adaptive step-size algorithm for Fourier beam-propagation method with absorbing boundary layer of auto-determined width

Learn, R.; Feigenbaum, E.

doi:10.1364/AO.55.004402

Title: Adaptive step-size algorithm for Fourier beam-propagation method with absorbing boundary layer of auto-determined width

Abstract

Two algorithms that enhance the utility of the absorbing boundary layer are presented, mainly in the framework of the Fourier beam-propagation method. One is an automated boundary layer width selector that chooses a near-optimal boundary size based on the initial beam shape. Furthermore, the second algorithm adjusts the propagation step sizes based on the beam shape at the beginning of each step in order to reduce aliasing artifacts.

Authors:

Learn, R. ^[1]; Feigenbaum, E. ^[2]

Florida State Univ., Tallahassee, FL (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: Fri May 27 00:00:00 EDT 2016

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1259785

Alternate Identifier(s):: OSTI ID: 1254519

Report Number(s):: LLNL-JRNL-680837
Journal ID: ISSN 0003-6935; APOPAI

Grant/Contract Number:: AC52-07NA27344; LLNL-JRNL-680837

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Applied Optics

Additional Journal Information:: Journal Volume: 55; Journal Issue: 16; Journal ID: ISSN 0003-6935

Publisher:: Optical Society of America (OSA)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 42 ENGINEERING; propagating methods; propagation; computational electromagnetic methods

Citation Formats


                    Learn, R., and Feigenbaum, E. Adaptive step-size algorithm for Fourier beam-propagation method with absorbing boundary layer of auto-determined width.  United States: N. p., 2016. 
        Web.  doi:10.1364/AO.55.004402.

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                    Learn, R., & Feigenbaum, E. Adaptive step-size algorithm for Fourier beam-propagation method with absorbing boundary layer of auto-determined width.  United States.  https://doi.org/10.1364/AO.55.004402

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                    Learn, R., and Feigenbaum, E. 2016.  
        "Adaptive step-size algorithm for Fourier beam-propagation method with absorbing boundary layer of auto-determined width".  United States.  https://doi.org/10.1364/AO.55.004402.  https://www.osti.gov/servlets/purl/1259785.

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@article{osti_1259785,

  title        = {Adaptive step-size algorithm for Fourier beam-propagation method with absorbing boundary layer of auto-determined width},

  author       = {Learn, R. and Feigenbaum, E.},

  abstractNote = {Two algorithms that enhance the utility of the absorbing boundary layer are presented, mainly in the framework of the Fourier beam-propagation method. One is an automated boundary layer width selector that chooses a near-optimal boundary size based on the initial beam shape. Furthermore, the second algorithm adjusts the propagation step sizes based on the beam shape at the beginning of each step in order to reduce aliasing artifacts.},

  doi          = {10.1364/AO.55.004402},

  url          = {https://www.osti.gov/biblio/1259785},
  journal      = {Applied Optics},

  issn         = {0003-6935},

  number       = 16,

  volume       = 55,

  place        = {United States},

  year         = {Fri May 27 00:00:00 EDT 2016},

  month        = {Fri May 27 00:00:00 EDT 2016}

}

Copy to clipboard

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https://doi.org/10.1364/AO.55.004402

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Cited by: 3 works

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Works referenced in this record:

National Ignition Facility laser performance status
journal, January 2007

Haynam, C. A.; Wegner, P. J.; Auerbach, J. M.
Applied Optics, Vol. 46, Issue 16
https://doi.org/10.1364/AO.46.003276

Algorithm for Fourier propagation through the near-focal region
journal, January 2013

Feigenbaum, Eyal; Sacks, Richard A.; McCandless, Kathleen P.
Applied Optics, Vol. 52, Issue 20
https://doi.org/10.1364/AO.52.005030

Miro´: Complete modeling and software for pulse amplification and propagation in high-power laser systems
journal, June 2003

Morice, Olivier
Optical Engineering, Vol. 42, Issue 6
https://doi.org/10.1117/1.1574326

What is the fast Fourier transform?
journal, January 1967

Cochran, W. T.; Cooley, J. W.; Favin, D. L.
Proceedings of the IEEE, Vol. 55, Issue 10
https://doi.org/10.1109/PROC.1967.5957

Optimal absorbing boundary conditions
journal, January 1995

Yevick, David; Yayon, Yosef; Yu, Jun
Journal of the Optical Society of America A, Vol. 12, Issue 1
https://doi.org/10.1364/JOSAA.12.000107

Transparent boundary condition for the beam propagation method
journal, January 1992

Hadley, G. R.
IEEE Journal of Quantum Electronics, Vol. 28, Issue 1
https://doi.org/10.1109/3.119536

A perfectly matched layer for the absorption of electromagnetic waves
journal, October 1994

Berenger, Jean-Pierre
Journal of Computational Physics, Vol. 114, Issue 2
https://doi.org/10.1006/jcph.1994.1159

Fast-Fourier-based three-dimensional full-vectorial beam propagation method
journal, November 2005

Lopez-Dona, J. M.; Wanguemert-Perez, J. G.; Molina-Fernandez, I.
IEEE Photonics Technology Letters, Vol. 17, Issue 11
https://doi.org/10.1109/LPT.2005.857618

Absorbing boundaries for wave propagation problems
journal, April 1986

Kosloff, R.; Kosloff, D.
Journal of Computational Physics, Vol. 63, Issue 2
https://doi.org/10.1016/0021-9991(86)90199-3

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Title: Adaptive step-size algorithm for Fourier beam-propagation method with absorbing boundary layer of auto-determined width

Abstract

Citation Formats

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journal, January 1995

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journal, January 1992

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journal, October 1994

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journal, April 1986