Distribution of current induced on metal-strip gratings by plane wave

Shiao, C.M.; Song, Peng

doi:10.1109/22.681216

Cited by 6 publications

(3 citation statements)

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“…( 9 ); therefore we have , that is, vanishing at the edge. Additionally, the vanishing current at metal-strip edges was reported in the research of a metal-strip grating illuminated by a plane wave in TM polarization 19 , but unfortunately the distribution of in the slit region was not shown in that paper. Regarding the electric field in the slit region, an exponential growth of around the slit edges can be observed (red dotted curve) in Fig.…”

Section: Fourier Modal Methods Incorporating Local Basis Functionsmentioning

confidence: 89%

“…Specifically, , and satisfy the relationship: . Moreover, the ratio between and equals to the ratio of to 5 , 19 , therefore, we have and ; the operator round [.] rounds a real number towards the nearest integer.…”

Section: Fourier Modal Methods Incorporating Local Basis Functionsmentioning

confidence: 99%

“…Fortunately, the inverse rule, by invoking adequate Fourier series of the permittivity and reciprocal permittivity functions of a periodic medium to reformulate the eigenvalue problem, was developed to achieved a highly improved convergence rate for the scattering analysis of a metallic grating in TM polarization 15 – 18 . Additionally, the Floquet modes in a periodic medium with the unit cell composed of a dielectric slab and a metal layer having finite conductivity can be determined by solving the dispersion equation 19 . However, finding their complex roots is a difficult task.…”

Section: Introductionmentioning

confidence: 99%

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Highly improved convergence approach incorporating edge conditions for scattering analysis of graphene gratings

Hwang

2020

Sci Rep

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This research developed an effective and efficient approach for improving the slow convergence in the scattering analysis of a one-dimensional graphene grating, made of a periodic array of parallel graphene strips, illuminated by a TM-polarized plane wave. Specifically, the electric fields over the graphene strips and slit regions in a unit cell are individually expressed as an expansion of local basis functions inherently satisfying edge conditions. Interestingly, convergence rate is highly improved compared to the customary and modified Fourier modal method. Additionally, with the aid of local basis functions, the Gibbs phenomenon occurring at both edges of graphene strip can be removed.

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Section: Fourier Modal Methods Incorporating Local Basis Functionsmentioning

confidence: 89%

Section: Fourier Modal Methods Incorporating Local Basis Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Highly improved convergence approach incorporating edge conditions for scattering analysis of graphene gratings

Hwang

2020

Sci Rep

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Optimization of Smith-Purcell radiation at very high energies

et al. 2000

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A theoretical analysis of Smith-Purcell radiation at very high energies is presented. The energy per unit frequency and solid angle is expressed in closed form as a function of the grating geometry, beam energy, and viewing angles. A certain choice of grating geometry is shown to optimize the output energy for a particular order of radiation. Scaling laws are derived for the energy emitted into all orders of radiation in the relativistic limit. It is shown that the total energy emitted into each order scales as the three-halves power of the beam voltage.

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