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2014•Journal of Shandong UniversityRequires access

TE mode analysis based on a new Padé approximant BPM algrorithm

Yan Liu

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Abstract

The most common method used in the wide-angle BPM( beam propagation method) was the( p,p) Pade approximant formalism,w hich could not damp the evanescent modes for the algorithm itself. A new BPM based on a direct approximation to the propagator using( p- 1,p) Pade approximant w as applied to tapered w aveguide for TE polarized w aves. Based on the results of the new method,it w as found that the new method of( p- 1,p) Pade approximant could obviously suppress the evanescent modes in TE mode,and could be more accurate to the propagating modes w ith the increase of p.

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What this paper is about

The most common method used in the wide-angle BPM( beam propagation method) was the( p,p) Pade approximant formalism,w hich could not damp the evanescent modes for the algorithm itself. A new BPM based on a direct approximation to the propagator using( p- 1,p) Pade approximant w as applied to tapered w aveguide for TE polarized w aves. Based on the results of the new method,it w as found that the new method of( p- 1,p) Pade approximant could obviously suppress the evanescent modes in TE mode,and could be more accurate to the propagating modes w ith the increase of p.

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Available abstract

The most common method used in the wide-angle BPM( beam propagation method) was the( p,p) Pade approximant formalism,w hich could not damp the evanescent modes for the algorithm itself. A new BPM based on a direct approximation to the propagator using( p- 1,p) Pade approximant w as applied to tapered w aveguide for TE polarized w aves. Based on the results of the new method,it w as found that the new method of( p- 1,p) Pade approximant could obviously suppress the evanescent modes in TE mode,and could be more accurate to the propagating modes w ith the increase of p.

Key concepts: Padé approximant, Propagator, Formalism (music), Physics, Mathematics, Mathematical analysis, Beam propagation method, Mode (computer interface)

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