Beam Propagation Method Based on Fast Fourier Transform and Finite Difference Schemes and its Application to Optical Diffraction Grating.

Samra, Ahmed; Yousif, Bedeer Bedeer

doi:10.21608/bfemu.2020.129254

Beam Propagation Method Based on Fast Fourier Transform and Finite Difference Schemes and its Application to Optical Diffraction Grating.

Document Type : Research Studies

Authors

Ahmed Samra ¹
Bedeer Bedeer Yousif ²

¹ Department of Electronics and Communication Engineering., Faculty of Engineering ., Mansoura University., Mansoura., Egypt

² Electronics and Communications Dept. Faculty of Engineering ., Mansoura University., Mansoura., Egypt

10.21608/bfemu.2020.129254

Abstract

Accurate modeling of photonic devices is essential for the development of new higher performance optical components required by current and future large or wide bandwidth communication systems. This paper introduces several key techniques for such modeling, many of which are used in commercial design tools. These include several techniques of the beam propagation methods (BPM), such as fast Fourier transform ( FFT BPM), wide angle fast Fourier transform ( WAFFT-BPM), scalar finite difference (FD-BPM), scalar wide angle finite difference beam propagation method (WAFD-BPM), Generalized Douglas finite difference (GDFD-BPM), and full vectorial finite difference beam propagation method (FVFD-BPM). The numerical simulations are applied to a real optical diffraction grating fabricated by a double-ion exchange technique.

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