Absorbing boundary condition (ABC) and perfectly matched layer (PML) in numerical beam propagation: a comparison
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The absorbing boundary condition (ABC) and the perfectly matched layer (PML) are employed to suppress the numerical reflections in wave propagation methods. The PML has earlier been shown to fail at the grazing angle propagation of beam. The ABC is preferred over the PML where refractive index is not an analytic function. We have explored the performance of the ABC in reflection-less absorption of non-paraxial propagation of beams and have compared it against the PML. We have considered an example of the propagation of Gaussian beams through a homogeneous medium terminated with ABC or PML. We have used the collocation method for propagation. We have found that both the boundary conditions are comparable in performance. The ABC performed relatively better than the PML for beams at smaller angles. However, the performance of the PML is better than that of the ABC at larger tilt angles.
KeywordsNumerical methods Beam propagation Collocation method Perfectly matched layer (PML) Absorbing boundary condition (ABC)
Ramesh Kumar acknowledges the University Grant Commission, Government of India for financial support.
- Hadley, G.R.: Transparent boundary condition for the beam propagation method. Opt. Lett. 28, 624–626 (1992a)Google Scholar
- Sharma, A.: Collocation method for wave propagation through optical waveguiding structure. In: Huang, W.P. (ed.) Methods for Modelling and Simulations of Guided-Wave Optoelectronic Devices, vol. 11, pp. 143–198. EMW, Cambridge, MA (1995)Google Scholar
- Xu, C.L., Huang, W.P.: Finite-difference beam propagation methods for guided-wave optics. In: Huang, W. (ed.) Methods for Modeling and Simulation of Optical Guided-Wave Devices. Progress in Electromagnetic Research, vol. 11, pp. 1–49. EMW, Cambridge, MA (1995)Google Scholar