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RESEARCH PRODUCT
Study of periodic Dielectric Frequency-Selective Surfaces under 3D plane wave incidence
Angela CovesStephan MariniBenito GimenoVicente E. Boriasubject
Ray transfer matrix analysisPhysicsFrequency selective surfacebusiness.industryLinear polarizationPlane waveMetamaterial020206 networking & telecommunications02 engineering and technologyDielectricPolarization (waves)Computational physicsBrillouin zone020210 optoelectronics & photonicsOpticsTeoría de la Señal y Comunicaciones0202 electrical engineering electronic engineering information engineeringFSSbusinessEigenvalues and eigenvectorsdescription
A periodic Dielectric Frequency-Selective Surface (DFSS) is studied under 3D plane-wave incidence, whose unit cell in the periodic direction is composed of a dielectric grating and a homogeneous dielectric layer. The structure is excited by a linearly polarized plane-wave. The procedure for computing the Brillouin diagram of the structure under 2D plane-wave incidence with TE or TM polarization was already described by the authors, and the extension to the 3D incidence case has been performed in a similar way. Following the same formalism, it has been obtained the Generalized Scattering Matrix (GSM) of one period of the infinite periodic lattice. This requires the knowledge of the modal spectrum in both homogeneous and periodic dielectric media. To this end, a numerical technique based on a vectorial modal method originally proposed by the authors has been used. Once the S matrix of one period of the periodic medium is computed, the corresponding generalized ABCD matrix of the unit cell can be easily derived, which provides a standard multimodal eigenvalue matrix problem whose solution yields the transverse field distributions and the modal propagation constants in the periodic lattice. In the 3D incidence case, a given number of modes considered in the construction of the ABCD matrix yields the dispersion diagram of TE and TM modes simultaneously. The identification of the modes can be easily performed through the comparison of their dispersion diagram with the reflectance spectra of the structure under a given incidence polarization (TE or TM). Finally, some numerical result effects, varying the incidence direction of the exciting plane-wave in the dispersion diagram of an Electromagnetic Band Gap (EBG) material, are shown. This work was supported by the Ministerio de Economía y Competitividad, Spanish Government, under the coordinated projects TEC2013-47037-C5-4-R and TEC2013-47037-C5-1-R.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-08-01 | 2016 Progress in Electromagnetic Research Symposium (PIERS) |