Abstract
We present a multifilament current method (MFCM) incorporated with generalized sheet transition condition (GSTC) to simulate 2.5-dimensional cylindrical metasurfaces with arbitrary cross sections for the first time. The chain-type form of GSTC is synthesized and utilized to relate the tangential fields on two sides of a cylindrical metasurface. The MFCM is subsequently introduced and formulated by deploying the GSTC. The doublet-current unit which contains both electric and magnetic line sources with phase terms is deployed in the MFCM for simulating co- and cross-polarized scattered and transmitted fields from GSTC characterized cylindrical metasurfaces. Three illustrative examples regarding different geometries, different metasurface characteristics and different excitations are presented to validate the proposed simulation technique. In comparison to existing numerical methods, the proposed technique has its merits on simplicity and conciseness.
Highlights
Metasurfaces have drawn many attentions for the capability of wave manipulations with prescribed fashions in recent years [1]
Several computational methods have been introduced to conduct the electromagnetic simulation of metasurfaces, The associate editor coordinating the review of this manuscript and approving it for publication was Xiao-Jun Yang
The multifilament current method (MFCM) incorporated with the generalized sheet transition condition (GSTC) to simulate a 2.5dimensional cylindrical metasurface with different cross sections has been introduced, formulated and further validated
Summary
Metasurfaces have drawn many attentions for the capability of wave manipulations with prescribed fashions in recent years [1]. Unlike our previous work [31] where a 2-dimensional cylindrical metasurface is simulated, the filament current of each type used carries a phase term (e−jkzz) in order to construct simulated fields under the 2.5-dimensional condition. In this case, each filament current generates five field components rather than three as discussed in [31], resulting in a different metasurface synthesis procedure and a complex simulated fields construction in comparison to 2-dimensional scenario. The internal fields in region b are generated by all equivalent sources placed in the external region a, and those filament sources are treated as source currents radiating in an unbounded region constituted of the isotropic material with permittivity b and permeability μb
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