Generalized material-independent PML absorbers for the FDTD simulation of electromagnetic waves in arbitrary anisotropic dielectric and magnetic media

Zhao, An Ping; Juntunen, J.; Räisänen, Antti V.

doi:10.1109/75.658638

Cited by 38 publications

(21 citation statements)

References 7 publications

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“…It should be noted that the difference between the above expressions and Berenger's original PML formulations is that ε 0 is not involved in the expression of the theoretical reflection factor R(θ) for σ D α [33]. Furthermore, the updating relation between D and E in Eq.…”

Section: Perfectly Matched Layer Formulationmentioning

confidence: 99%

“…In order to reduce the time and computer memory requirements for simulations as well as to improve the convergence performance, it is required to place the PML in the close vicinity of the wire medium. For that purpose, we can follow a similar approach as in [33] by modifying Berenger's original PML formulations. In the modified PML for wire medium, D is introduced into the updating equations and the quantities D and H are splitted.…”

Section: Perfectly Matched Layer Formulationmentioning

confidence: 99%

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Modelling of Wave Propagation in Wire Media Using Spatially Dispersive Finite-Difference Time-Domain Method: Numerical Aspects

Zhao

Belov

Hao

2007

IEEE Trans. Antennas Propagat.

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Abstract-The finite-difference time-domain (FDTD) method is applied for modelling of wire media as artificial dielectrics. Both frequency dispersion and spatial dispersion effects in wire media are taken into account using the auxiliary differential equation (ADE) method. According to the authors' knowledge, this is the first time when the spatial dispersion effect is considered in the FDTD modelling. The stability of developed spatially dispersive FDTD formulations is analysed through the use of von Neumann method combined with the Routh-Hurwitz criterion. The results show that the conventional stability Courant limit is preserved using standard discretisation scheme for wire media modelling. Flat sub-wavelength lenses formed by wire media are chosen for validation of proposed spatially dispersive FDTD formulation. Results of the simulations demonstrate excellent subwavelength imaging capability of the wire medium slabs. The size of the simulation domain is significantly reduced using the modified perfectly matched layer (MPML) which can be placed in close vicinity of the wire medium. It is demonstrated that the reflections from the MPML-wire medium interface are less than -70 dB, that lead to dramatic improvement of convergence compared to conventional simulations.

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Section: Perfectly Matched Layer Formulationmentioning

confidence: 99%

Section: Perfectly Matched Layer Formulationmentioning

confidence: 99%

Modelling of Wave Propagation in Wire Media Using Spatially Dispersive Finite-Difference Time-Domain Method: Numerical Aspects

Zhao

Belov

Hao

2007

IEEE Trans. Antennas Propagat.

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show abstract

“…Then by differentiating the results, i.e. (13), respect to z, the component of H in ρ-direction is determined as written in (14).…”

Section: Theoretical Analysis Of Resonant Frequency For Anisotropic Amentioning

confidence: 99%

“…By exploiting these properties, various applications of ADM in microwave devices have been proposed by many researchers such as antenna, filter, absorber, and resonator. Some unique properties of ADM have been explored in conjunction with its application such as to reject unwanted wave modes in the filter [10], to suppress spurious frequencies in the filters [11], to improve the tilted beam of the planar endfire antennas in elevation plane [12], to reduce the dimension of microwave resonators [13], to minimize reflected electric field magnitude in absorber [14] and to enhance the gain of end-fire bow-tie antenna [15].…”

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis of Resonant Frequency for Anisotropic Artificial Circular Dielectric Resonator Encapsulated in Waveguide

Ludiyati¹,

Suksmono²,

Munir³

2017

ijeei

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The analysis of resonant frequency for anisotropic artificial circular dielectric resonator (CDR) encapsulated in waveguide is investigated theoretically. The anisotropic permittivity of CDR is established by taking a relative permittivity value in one direction higher than the values of other directions in cylindrical coordinate system. By deriving Maxwell time-dependent curl equations for the CDR inside of a short-ended circular waveguide and then applying proper boundary conditions for the waveguide walls, mathematical formulation to calculate resonant frequencies for transverse electric (TE) and transverse magnetic (TM) wave modes as the function of material thickness and the anisotropic permittivity value are determined. For a comparison, the analysis is also performed for conventional CDR loaded in the same waveguide. In this case, the conventional CDR uses a natural dielectric material with isotropic permittivity. From the results, it shows that the anisotropic artificial CDR has resonant frequencies lower than the conventional CDR for the first of 3 successive TE and TM wave modes. The significant impact in lowering resonant frequencies for the TE and TM wave modes are shown by the anisotropic permittivity in ρ-and z-directions, respectively. The anisotropic permittivities are able to reduce the resonant frequencies of conventional CDR up to 13.77%, 4.19%, and 5.99% for TE11, TE21, and TE01 wave modes, respectively and 43.07%, 35.98%, 34.86% for the TM01, TM11, and TM21 wave modes, respectively. These results can be applicable for wave mode selection. The anisotropic permittivity in -direction has no effect in lowering the TE and TM wave mode resonant frequencies.

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“…As such, a threedimensional TMz domain was implemented where the electric and magnetic fields are represented in a finitedifference time-domain scheme according to Yee's 3D staggered mesh. To eliminate the effect of reflections from the finite numerical domain, the generalized material-independent perfect matching layer (GMIPML), introduced in [4], was implemented at all boundaries with a thickness of eight mesh cells. In addition, two different techniques have been used in order to isolate and find the scattered fields and to simulate the dispersive nature of the silver nanospheres.…”

Section: Analysis Modelmentioning

confidence: 99%

Plasmonic Nanostructured Cellular Automata

et al. 2017

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Abstract. In this work, we have investigated the scattering plasmonic resonance characteristics of silver nanospheres with a geometrical distribution that is modelled by Cellular Automata using time-domain numerical analysis. Cellular Automata are discrete mathematical structures that model different natural phenomena. Two binary one-dimensional Cellular Automata rules are considered to model the nanostructure, namely rule 30 and rule 33. The analysis produces three-dimensional scattering profiles of the entire plasmonic nanostructure. For the Cellular Automaton rule 33, the introduction of more Cellular Automata generations resulted only in slight red and blue shifts in the plasmonic modes with respect to the first generation. On the other hand, while rule 30 introduced significant red shifts in the resonance peaks at early generations, at later generations however, a peculiar effect is witnessed in the scattering profile as new peaks emerge as a feature of the overall Cellular Automata structure rather than the sum of the smaller parts that compose it. We strongly believe that these features that emerge as a result adopting the different 256 Cellular Automata rules as configuration models of nanostructures in different applications and systems might possess a great potential in enhancing their capability, sensitivity, efficiency, and power utilization.

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Generalized material-independent PML absorbers for the FDTD simulation of electromagnetic waves in arbitrary anisotropic dielectric and magnetic media

Cited by 38 publications

References 7 publications

Modelling of Wave Propagation in Wire Media Using Spatially Dispersive Finite-Difference Time-Domain Method: Numerical Aspects

Modelling of Wave Propagation in Wire Media Using Spatially Dispersive Finite-Difference Time-Domain Method: Numerical Aspects

Theoretical Analysis of Resonant Frequency for Anisotropic Artificial Circular Dielectric Resonator Encapsulated in Waveguide

Plasmonic Nanostructured Cellular Automata

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