What question did this study set out to answer?

To develop a hybrid FDTD-WG technique for accurate electromagnetic field representation in regions of rapid field changes.

April 3, 2026Open Access

A hybrid FDTD-wavelet-Galerkin technique for the numerical analysis of field singularities inside waveguides

TTTheodoros D. TsiboukisAristotle University of Thessaloniki NKNikolaos KantartzisAristotle University of Thessaloniki TKTheodoros KosmanisInternational Hellenic University

Key Points

To develop a hybrid FDTD-WG technique for accurate electromagnetic field representation in regions of rapid field changes.
Combines finite difference time domain (FDTD) with wavelet-Galerkin (WG) formulation.
Divides computational domain into smooth and fast field variation regions.
Applies numerical manipulations across various waveguides.
Demonstrates improved simulations in regions with fast field transitions.
Significantly reduces computational burden compared to traditional methods.

Abstract

A novel hybrid finite difference time domain-wavelet-Galerkin (FDTD-WG) technique is presented for the accurate representation of electromagnetic field solutions in regions of fast field transitions. Its fundamental concept lies in the combination of the robust FDTD method with the wavelet-Galerkin formulation, which in its turn can efficiently treat highly varying phenomena. The computational domain is, therefore, divided into regions of smooth and fast field variations. Proper determination of these two areas leads to improved simulations and significantly reduced computational burden, turning the proposed scheme into a powerful tool. Numerical results derived from the manipulation of various waveguides, proves the validity and efficacy of the new scheme

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