Efficient MT-Based Compact FDTD Algorithm for Longitudinally-Magnetized Ferrite-Loaded Waveguides

Abstract

<p class="MsoNormal" style="text-align:justify;"> <span lang="EN-US">In this work, a compact finite-difference time-domain (FDTD) algorithm with a memory-reduced technique is proposed for the dispersion analysis of rectangular waveguides either fully or partially loaded with longitudinally-magnetized ferrite. In this algorithm, the divergence theorem is used to eliminate the longitudinal components of the electric and magnetic flux densities. The mobius transform (MT) technique is applied for the first time to obtain the equations relating the magnetic field to the magnetic flux density in a ferrite medium. Some examples are presented to validate the obtained algorithm with numerical results: good agreement is obtained with a significant reduction in the memory space requirement compared to the conventional algorithm.</span><span lang="EN-US"><o:p></o:p></span> </p

A Novel High-Order Symplectic Compact FDTD Schemes for Optical Waveguide Simulation

“…Content may change prior to final publication. Citation information: DOI 10.1109/JPHOT.2022.3142770, IEEE Photonics Journal 4 > Manuscript ID PJ-012545-2021 < Substitute into the expression of ( 16), the dispersion relation equation ( 15) can be rewritten as: (20) in which, x k and y k are, respectively, numerically rendered transverse wave number for x-, y-direction.…”

“…This conclusion suggests that the SC-FDTD (4, 4) algorithm can achieve energy-conserving. As the normalized propagation constant approaches unity, rigorous dispersion analysis will follow which the global phase error deterioration and the time step is kept at the maximum limit allowed by the dispersion relation equation (20) for each κ value. Further analysis of the normalized propagation constant κ and the resolution factor R have critical role to play in minimizing numerical global phase errors  .…”

“…The refractive index profile is invariant along the propagation direction, thus, the electromagnetic wave has the same optical field distribution on any cross-section. In this case, the compact-FDTD (C-FDTD) scheme has been proposed by Xiao et al, in which all the field information about the three-dimensional structure can be extracted from its two-dimensional crosssection [14][15][16][17][18][19][20]. Though the computing resources and times has reduced by the fast algorithm, the accurate performance cannot be guaranteed.…”

Mathematical analysis and finite element simulation of a magnetized ferrite model

“…Due to the inherent anisotropy and nonlinearity of the ferrite materials, finding analytical solutions for ferrite based problems is often impossible, and development of accurate and efficient numerical methods plays a very important role. However, most publications on simulation of wave propagation in ferrites (e.g., [1][2][3][4]) are based on the finite difference time-domain (FDTD) methods due to its simplicity. It is well-known that the FDTD methods suffer when the underlying problem has a complicated geometry.…”

Error analysis of rectangular waveguide probe with finite flange for nondestructive EM-properties and thickness measurement

“…Potentially, the Finite Difference Time Domain (FDTD) technique has several advantages, which make it suitable for modeling complex geometries, is applied to analyze finite flange open-ended coaxial probe sensor [9][10][11]. Recently, FDTD method is adopted to determine complex permittivity of dielectric materials using a rectangular waveguide [12][13][14][15]. The objective of this paper is to investigate the influence of flange size on the input reflection coefficient of rectangular waveguide using FDTD modeling.…”