GPU Acceleration of Nonlinear Modeling by the Discontinuous Galerkin Time-Domain Method

Authors

  • Huan-Ting Meng Department of Electrical and Computer Engineering University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
  • Jian-Ming Jin Department of Electrical and Computer Engineering University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA

Keywords:

Computational electromagnetics, DGTD, GPU acceleration, Kerr effect, nonlinear electromagnetics, third-order nonlinearity

Abstract

A discontinuous Galerkin time-domain (DGTD) algorithm is formulated and implemented to model the third-order instantaneous nonlinear effect on electromagnetic fields due the field-dependent medium permittivity. The nonlinear DGTD computation is accelerated using graphics processing units (GPUs). Two nonlinear examples are presented to show the different Kerr effects observed through the third-order nonlinearity. With the acceleration using MPI + GPU under a large cluster environment, the solution times for nonlinear simulations are significantly reduced.

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References

R. W. Boyd, Nonlinear Optics. Burlington, MA: Academic Press, 2008.

B. Saleh and M. Tech, Fundamentals of Photonics. New York, NY: Wiley, 2013.

R. M. Joseph and A. Taflove, “FDTD Maxwell’s equations models for nonlinear electrodynamics and optics,” IEEE Trans. Antennas Propag., vol. 45, pp. 364-374, Mar. 1997.

H.-T. Meng and J.-M. Jin, “Acceleration of the dual-field domain decomposition algorithm using MPI-CUDA on large-scale computing systems,” IEEE Trans. Antennas Propag., vol. 62, no. 9, pp. 4706-4715, Sept. 2014.

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Published

2021-07-25

How to Cite

[1]
Huan-Ting Meng and Jian-Ming Jin, “GPU Acceleration of Nonlinear Modeling by the Discontinuous Galerkin Time-Domain Method”, ACES Journal, vol. 33, no. 02, pp. 156–159, Jul. 2021.

Issue

2018: Vol 33 Iss 2

Section

General Submission