Scattering of light waves by finite metal nanostrip gratings: Nystrom-Type method and resonance effects
Efficient and rapidly convergent numerical algorithm for the simulation of the scattering of light waves by a finite gratings consisting of thin (thinner than the wavelength in the free space) metal nanostrips is presented. The model is based on the utilization of generalized boundary conditions (GB...
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| Veröffentlicht in: | Radioelectronics and communications systems Jg. 58; H. 5; S. 201 - 211 |
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01.05.2015
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| Abstract | Efficient and rapidly convergent numerical algorithm for the simulation of the scattering of light waves by a finite gratings consisting of thin (thinner than the wavelength in the free space) metal nanostrips is presented. The model is based on the utilization of generalized boundary conditions (GBC), which allow one to exclude from consideration the field inside each strip and to reduce the two-dimensional boundary problem to one-dimensional systems of singular/hypersingular integral equations (IE). The obtained IE are solved numerically using the Nystrom-type method and the quadrature formulas of interpolation type, that provides guarantee convergence and controlled accuracy. The article presents the results of characteristics calculations for optical scattering and absorption by the gratings, which consist of silver nanostrips, as dependences on the width and on the thickness of the strips, and on the grating period. The nature of resonance phenomena has been investigated, namely the article presents the analysis of intensive optical scaterring and absorption in the case of excitation of plasmonic modes (plasmons) and of grating modes, which are induced by the periodicity. |
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| AbstractList | Efficient and rapidly convergent numerical algorithm for the simulation of the scattering of light waves by a finite gratings consisting of thin (thinner than the wavelength in the free space) metal nanostrips is presented. The model is based on the utilization of generalized boundary conditions (GBC), which allow one to exclude from consideration the field inside each strip and to reduce the two-dimensional boundary problem to one-dimensional systems of singular/hypersingular integral equations (IE). The obtained IE are solved numerically using the Nystrom-type method and the quadrature formulas of interpolation type, that provides guarantee convergence and controlled accuracy. The article presents the results of characteristics calculations for optical scattering and absorption by the gratings, which consist of silver nanostrips, as dependences on the width and on the thickness of the strips, and on the grating period. The nature of resonance phenomena has been investigated, namely the article presents the analysis of intensive optical scaterring and absorption in the case of excitation of plasmonic modes (plasmons) and of grating modes, which are induced by the periodicity. |
| Author | Shapoval, O. V. |
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| Cites_doi | 10.1134/S0012266106090114 10.1364/JOSAA.24.002822 10.1103/PhysRevB.6.4370 10.1364/OE.19.022176 10.1109/TAP.2011.2161547 10.1109/TAP.2014.2316295 10.1002/jnm.1827 10.1109/JSTQE.2012.2213586 10.1109/8.900229 10.1002/pssb.200743225 10.1109/JSTQE.2012.2227685 10.1103/PhysRevLett.109.143903 10.1109/74.248480 |
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| Keywords | Generalize Boundary Condition Interpolation Type Planar Grating Integral Equation HYPERSINGULAR Integral Equation |
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| Title | Scattering of light waves by finite metal nanostrip gratings: Nystrom-Type method and resonance effects |
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