The scattering of electromagnetic waves by rectangular-cell double-periodic magnetodielectric gratings

Yachin, V. V.; Ryazantseva, N. V.

doi:10.1002/(sici)1098-2760(19991105)23:3<177::aid-mop14>3.0.co;2-i

Cited by 19 publications

(8 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This was the motivation to develop different techniques for studying different configurations of periodic structures. However, only a few published works have discussed the properties of magneto-dielectric periodic structures [1,2]. Recently, it has been shown that such magneto-dielectric periodic structures can also be used to design double negative (DNG) metamaterial where both the relative permittivity and the relative permeability are negative values [3].…”

Section: Introductionmentioning

confidence: 99%

“…In addition, including the relative permeability as a design parameter represents another degree of freedom for designing grating structures. From the analytical point of view, the problem of a magnetodielectric grating slab can be solved by using different techniques; such as MoM, FDTD, FDFD, FEM, and modal analysis [1,2,[6][7][8][9][10][11][12]. This problem has been discussed previously by using MoM [1,2].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of Two-Dimensional Magneto-Dielectric Grating Slab

Attiya¹,

Kishk²,

Glisson³

2007

PIER

View full text Add to dashboard Cite

Abstract-Vectorial modal analysis of a 2-D magneto-dielectric grating structure is presented. The modal analysis is combined with the generalized scattering matrix to obtain the transmission and reflection coefficients of multilayered 2-D magneto-dielectric grating slabs. The results are verified with available commercial codes. Physical interpretation of the grating slab behavior is introduced. An equivalent homogeneous magneto-dielectric slab is found using a simple approach for extracting the equivalent permittivity and permeability. Several examples are presented to find the relation between the physical parameters of magneto-dielectric grating slabs and their equivalent parameters. Emphasis on the possibility of designing a metamaterial with equivalent negative permittivity and/or negative permeability by using these grating structures is considered.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Two-Dimensional Magneto-Dielectric Grating Slab

Attiya¹,

Kishk²,

Glisson³

2007

PIER

View full text Add to dashboard Cite

show abstract

“…Following the algorithm given in [2] we present the field in each period segment as an expansion in terms of the spatial harmonics numbered (r,s) and act on the equation for these fields by the linear operator…”

Section: (R)(= I (R)mentioning

confidence: 99%

“…where Next we solve the equation set for the field functionals and thus for the field components (the procedure in paper [2]). Using the extinction theorem at the last stage we express the internal fields of the structure (region 1 and 3) through the incident wave field.…”

Section: (R)(= I (R)mentioning

confidence: 99%

Electromagnetic characteristics of doubly-periodic magnetodielectric layer bounded by two uniform media

Sidorchuk

Yachin

Prosvirnin

International Conference on Mathematical Methods in Electromagnetic Theory

View full text Add to dashboard Cite

The problem of electromagnetic wave propagation in a doubly-periodic magnetodielectric layer bounded by two uniform infinite media is solved by new method based on the rigorous volume integro-differential equations of electromagnetics.The Galerkin method is applied to reduce these equations to a set of second-order differential ones with constant coefficients in field functionals which contain information about geometry of the scattering structure. The special scheme of equation set solving is introduced in the case of thick layers to overcome usual numerical difficulties associated with the undesired exponential functions in the expressions.

show abstract

“…For beginning we suppose that the periods are partitioned into segments with constant material parameters. For each period segment numbered (kJ) we can write the notations bi,-' < v;, < b i , Following the algorithm given in [2] we present the field in each period segment as an expansion in terms of the spatial harmonics numbered (r,s) and act on the equation for these fields by the linear operator biil < Vi, < 9 6l (ri, = &k/ and PI (ri/) = P&/ .…”

mentioning

confidence: 99%

Electromagnetic characteristics of a doubly-periodic magnetodielectric layer bounded by two media (low frequency approximation)

Sidorchuk

Yachin²

DIPED - 2001. Proceedings of 6th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic

View full text Add to dashboard Cite

The problem of electromagnetic wave propagation in a doubly-periodic magnetodielectric layer bounded by two uniform infinite media is solved by the new method based on the rigorous integro-differential equations. The Galerkin method is applied to reduce these equations to a set of second-order differential ones with constant coefficients in functionals. An analytic solution is given to the problem of propagation of low-frequency electromagnetic wave along and through the layer with arbitrary distribution of dielectric permittivity and magnetic permeability over the period. Based on such "one-mode" approximation we derive simple expressions for the propagation constants and fields in all the regions. METHODFormulation of the problem is as follows: from the region 2 (z<-h) with complex relative permittivity c2 and permeability p2, a linearly-polarized plane electromagnetic wave is incident at an arbitrary angle p on the double-periodic infinite layer (region 1) bordering the region 3 ( 9 0 ) with complex relative permittivity c3 and permeability p, (Fig. I). Figure 1. Geometry of the problem.

show abstract

The scattering of electromagnetic waves by rectangular-cell double-periodic magnetodielectric gratings

Cited by 19 publications

References 8 publications

Analysis of Two-Dimensional Magneto-Dielectric Grating Slab

Analysis of Two-Dimensional Magneto-Dielectric Grating Slab

Electromagnetic characteristics of doubly-periodic magnetodielectric layer bounded by two uniform media

Electromagnetic characteristics of a doubly-periodic magnetodielectric layer bounded by two media (low frequency approximation)

Contact Info

Product

Resources

About