Polarizability Matrix Extraction of a Bianisotropic Metamaterial from the Scattering Parameters of Normally Incident Plane Waves

Karamanos, Theodosios D.; Dimitriadis, Alexandros I.

doi:10.7716/aem.v1i3.73

Cited by 27 publications

(29 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…29 are similar to the expressions found for the effective polarizabilities of metamaterial elements in periodic metasurfaces [65,66]. This relationship means that a single element in a rectangular waveguide acts as a dipole whose response is equivalent to the response of the element in a periodic metasurface.…”

Section: Polarizability Extraction In a Rectangular Waveguide: Scsupporting

confidence: 68%

“…29. This is a straightforward process well-known in literature [65]. Another important point to note is that we have assumed ports which only excite/represent single mode.…”

Section: Polarizability Extraction In a Rectangular Waveguide: Scmentioning

confidence: 99%

“…To obtain the polarizability of an arbitrary metamaterial element, a technique that can be applied is to first assume the element is part of an infinitely periodic medium [65][66][67]. The details of the periodic structure can then be replaced by periodic boundary conditions, so that the full-wave simulation domain extends only over a single cell of the structure.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Polarizability extraction of complementary metamaterial elements in waveguides for aperture modeling

et al. 2017

View full text Add to dashboard Cite

We consider the design and modeling of metasurfaces that couple energy from guided waves to propagating wavefronts. This is a first step towards a comprehensive, multiscale modeling platform for metasurface antennas-large arrays of metamaterial elements embedded in a waveguide structure that radiates intro free-space-in which the detailed electromagnetic responses of metamaterial elements are replaced by polarizable dipoles. We present two methods to extract the effective polarizability of a metamaterial element embedded in a one-or two-dimensional waveguide. The first method invokes surface equivalence principles, averaging over the effective surface currents and charges within an element to obtain the effective dipole moments; the second method is based on computing the coefficients of the scattered waves within the waveguide, from which the effective polarizability can be inferred. We demonstrate these methods on several variants of waveguidefed metasurface elements, finding excellent agreement between the two, as well as with analytical expressions derived for irises with simpler geometries. Extending the polarizability extraction technique to higher order multipoles, we confirm the validity of the dipole approximation for common metamaterial elements. With the effective polarizabilities of the metamaterial elements accurately determined, the radiated fields generated by a metasurface antenna (inside and outside the antenna) can be found self-consistently by including the interactions between polarizable dipoles. The dipole description provides an alternative language and computational framework for engineering metasurface antennas, holograms, lenses, beam-forming arrays, and other electrically large, waveguide-fed metasurface structures.

show abstract

Section: Polarizability Extraction In a Rectangular Waveguide: Scsupporting

confidence: 68%

“…29. This is a straightforward process well-known in literature [65]. Another important point to note is that we have assumed ports which only excite/represent single mode.…”

Section: Polarizability Extraction In a Rectangular Waveguide: Scmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Polarizability extraction of complementary metamaterial elements in waveguides for aperture modeling

et al. 2017

View full text Add to dashboard Cite

show abstract

“…Incorporating the concepts of [2,3], the proposed formulation employs the polarizabilities obtained from dynamic schemes [4,5] to retrieve the effective parameters of the corresponding bulk metamaterial structures. Moreover, the required wavenumbers are derived by the NRW-extracted refractive index or the solution of the corresponding eigenvalue problem.…”

Section: Introductionmentioning

confidence: 99%

First-principles parameter retrieval of complex single-negative bulk metamaterials

Karamanos

Assimonis

Dimitriadis

et al. 2013

2013 7th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics

View full text Add to dashboard Cite

The consistent retrieval of effective parameters for complicated single-negative structures is presented in this paper through a first-principles homogenization method. The proposed technique considers each metamaterial unit-cell as an electrically-small scatterer and evaluates its polarizabilities via a robust process. These outcomes and the extracted wavenumbers are inserted in the homogenization relations to obtain the required medium parameters.

show abstract

“…In particular, for an actual implementation, the effective polarizabilities α m,i for the metamaterial elements must be determined accurately, which requires an extracting method from either measurements or numerical simulations. Such methods have been presented elsewhere [46,47] for periodic metasurfaces under plane wave incidence, and in [42] for waveguide-fed metasurfaces, and provide a path towards a highly accurate modeling platform for metasurface apertures. Since we are more interested here in general trends and behavior, we do not pursue extraction methods further in the present analysis.…”

Section: Metasurface Antenna: Basic Operationmentioning

confidence: 99%

Analysis of a Waveguide-Fed Metasurface Antenna

et al. 2017

View full text Add to dashboard Cite

The metasurface concept has emerged as an advantageous reconfigurable antenna architecture for beam forming and wavefront shaping, with applications that include satellite and terrestrial communications, radar, imaging, and wireless power transfer. The metasurface antenna consists of an array of metamaterial elements distributed over an electrically large structure, each subwavelength in dimension and with subwavelength separation between elements. In the antenna configuration we consider here, the metasurface is excited by the fields from an attached waveguide. Each metamaterial element can be modeled as a polarizable dipole that couples the waveguide mode to radiation modes. Distinct from the phased array and electronically scanned antenna (ESA) architectures, a dynamic metasurface antenna does not require active phase shifters and amplifiers, but rather achieves reconfigurability by shifting the resonance frequency of each individual metamaterial element. Here we derive the basic properties of a one-dimensional waveguide-fed metasurface antenna in the approximation that the metamaterial elements do not perturb the waveguide mode and are non-interacting. We derive analytical approximations for the array factors of the 1D antenna, including the effective polarizabilities needed for amplitude-only, phase-only, and binary constraints. Using full-wave numerical simulations, we confirm the analysis, modeling waveguides with slots or complementary metamaterial elements patterned into one of the surfaces.

show abstract

Polarizability Matrix Extraction of a Bianisotropic Metamaterial from the Scattering Parameters of Normally Incident Plane Waves

Cited by 27 publications

References 15 publications

Polarizability extraction of complementary metamaterial elements in waveguides for aperture modeling

Polarizability extraction of complementary metamaterial elements in waveguides for aperture modeling

First-principles parameter retrieval of complex single-negative bulk metamaterials

Analysis of a Waveguide-Fed Metasurface Antenna

Contact Info

Product

Resources

About