22 February 2017 Novel BPM technique using leap-frog technique
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Abstract
In this paper, a new solution for the wave equation using the BPM technique is proposed. The basic idea of this new technique is based on reformulating the BPM equation to separate the real and imaginary parts and utilizes real system matrices only for the propagation steps. The updated equation exploits leap-frog method to couple the real and imaginary parts of the field at each propagation step. A comparison between the proposed method of solution and the conventional one is made and show that the proposed technique in solving the BPM equation get an accurate results with more time efficient way. Our method is proved to be at least 30% faster than the conventional BPM in solving waveguide problems. Such method can open the door towards efficient computational algorithms for solving complex systems.
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Ahmad B. Ayoub, Ahmad B. Ayoub, Mohamed A. Swillam, Mohamed A. Swillam, } "Novel BPM technique using leap-frog technique", Proc. SPIE 10098, Physics and Simulation of Optoelectronic Devices XXV, 1009814 (22 February 2017); doi: 10.1117/12.2251038; https://doi.org/10.1117/12.2251038
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