Resonances in Bianisotropic Layers

Razzaz, Faroq; Alkanhal, Majeed A. S.

doi:10.1109/jphot.2017.2782742

Cited by 4 publications

(6 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The expressions (11) and (12) have the same operator form and as such the computation engines required to generate the matrices in (11) can be utilized for (12) with only a substitution of the numerical values for the structure under examination. Expressions (11) and ( 12) require only the first derivative of the field component (rather than the second derivative using the wave equation) and no derivatives of the material properties (rather than the first derivative using the wave equation).…”

Section: mentioning

confidence: 99%

“…The single field matrix formulation can be cast for solving for either the electric field or the CS magnetic field. The single field formulation for the electric field vector requires the use of Equation (12) and eliminating the CS magnetic field using (11). The resulting expression is:…”

Section: Single-field Component Matrix Operator Formulationmentioning

confidence: 99%

“…This matrix expression is a quadratic of the angular frequency and possibly of higher order if the bianisotropy is frequency dependent. Once the single field matrix system is solved, the missing CS magnetic field components can be ob-tained using (11). If the bianisotropic contribution is zero, then the matrix system reduces to…”

Section: Single-field Component Matrix Operator Formulationmentioning

confidence: 99%

“…). See expressions (11) and (12). The matrix products are obtained for every discretization grid point and these new tensors can be considered as an "effective" material which may be series expanded in the PWM formulation using:…”

Section: mentioning

confidence: 99%

See 3 more Smart Citations

The Bianisotropic Formulation of the Plane Wave Method from Faraday’s and Ampere’s Laws

Gauthier¹

2021

OPJ

View full text Add to dashboard Cite

The plane wave numerical technique is recast from Ampere's and Faraday's laws for materials that are characterized with a bianisotropic form of the constitutive relations. The populating expressions are provided for the eigenvalue matrix system that can be directly solved for the angular frequencies and field profiles when bianisotropy is included. To demonstrate the computation process and expected state diagrams and field profiles, numerical computation examples are provided for a bianisotropic Bragg Array with central defect. It is shown that the location of the magnetoelectric tensor elements has a significant effect on the eigenstates of an equivalent isotropic (anisotropic) structure. One form of the magnetoelectric tensor (diagonal elements only) leads to the observation of merging states and the formation of exceptional points. The numerical approach presented can be implemented as an add-on to the familiar plane wave numerical technique.

show abstract

Section: mentioning

confidence: 99%

Section: Single-field Component Matrix Operator Formulationmentioning

confidence: 99%

Section: Single-field Component Matrix Operator Formulationmentioning

confidence: 99%

Section: mentioning

confidence: 99%

See 2 more Smart Citations

The Bianisotropic Formulation of the Plane Wave Method from Faraday’s and Ampere’s Laws

Gauthier¹

2021

OPJ

View full text Add to dashboard Cite

show abstract

“…We have received some suggestions from readers of the mentioned papers and from other colleagues that we missed some related research papers that are important to cite in order to have an adequate and virtuous reference list to [1]. To complete the reference list of the mentioned published paper and to recognize the contributions and findings of important papers in the field of this research, the following addendum is added to the introduction section of the paper.…”

mentioning

confidence: 99%