Determination of wave propagation properties for multilayered dielectric waveguide by semivectorial beam propagation method with Douglas scheme

2008 ◽  
Vol 50 (10) ◽  
pp. 2521-2524 ◽  
Author(s):  
Chun-Ping Chen ◽  
Zhewang Ma ◽  
Tetsuo Anada ◽  
Jui-Pang Hsu
Keyword(s):  
Wave Propagation ◽  
Dielectric Waveguide ◽  
Beam Propagation Method ◽  
Beam Propagation ◽  
Propagation Properties

Beam Propagation Method Based on the Iterated Crank–Nicolson Scheme for Solving Large-Scale Wave Propagation Problems

2015 ◽  
Vol 51 (3) ◽  
pp. 1-4 ◽  
Author(s):  
Dimitra A. Ketzaki ◽  
Ioannis T. Rekanos ◽  
Theodoros I. Kosmanis ◽  
Traianos V. Yioultsis
Keyword(s):  
Wave Propagation ◽  
Large Scale ◽  
Beam Propagation Method ◽  
Beam Propagation ◽  
Nicolson Scheme ◽  
Crank Nicolson

scholarly journals Extension of an FFT-Based Beam Propagation Method to Plasmonic and Dielectric Waveguide Discontinuities and Junctions

2019 ◽  
Vol 9 (20) ◽  
pp. 4362 ◽  
Author(s):  
Adel Shaaban ◽  
Yi-Chun Du ◽  
Lotfy Rabeh Gomaa
Keyword(s):  
Refractive Index ◽  
Dielectric Waveguide ◽  
Beam Propagation Method ◽  
Beam Propagation ◽  
Refractive Index Profile ◽  
Smoothing Function ◽  
Plasmonic Waveguides ◽  
Index Profile ◽  
Metal Insulator Metal ◽  
Waveguide Discontinuities

We adapted a fast Fourier transform-based Beam Propagation Method (FFT-BPM) to investigate waveguide discontinuities in plasmonic waveguides. The adaptation of the FFT-BPM to treat transverse magnetic (TM) fields requires the circumvention of two major difficulties: the mixed derivatives of the magnetic field and waveguide refractive index profile in the TM wave equation and the step-like index change at the transverse metal-dielectric boundary of the plasmonic guide and the transverse boundaries of the dielectric waveguide as well. An equivalent-index method is adopted to transform TM fields to transverse electric (TE) ones, thus enabling the benefit of the full power and simplicity of the FFT-BPM. Moreover, an appropriate smoothing function is used to approximate the step-like refractive index profile in the transverse direction. At the junction plane, we used an accurate combined spatial-spectral reflection operator to calculate the reflected field. To validate our proposed scheme, we investigated the modal propagation in a silicon waveguide terminated by air (like a laser facet in two cases: with and without a coating layer). Then we considered a subwavelength plasmonic waveguide (metal-insulator-metal MIM) butt-coupled with a dielectric waveguide, where the power transmission efficiency has been calculated and compared with other numerical methods. The comparison reveals good agreement.

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