TY - JOUR
T1 - Plasmons in ultra-thin gold slabs with quantum spill-out
T2 - Fourier modal method, perturbative approach, and analytical model
AU - Taghizadeh, Alireza
AU - Pedersen, Thomas Garm
N1 - “© Optics Express [2019] Optical Society of America. Users may use, reuse, and build upon the article, or use the article for text or data mining, so long as such uses are for non-commercial purposes and appropriate attribution is maintained. All other rights are reserved.”
PY - 2019/12
Y1 - 2019/12
N2 - We numerically study the effect of the quantum spill-out (QSO) on the plasmon mode indices of an ultra-thin metallic slab, using the Fourier modal method (FMM). To improve the convergence of the FMM results, a novel nonlinear coordinate transformation is suggested and employed. Furthermore, we present a perturbative approach for incorporating the effects of QSO on the plasmon mode indices, which agrees very well with the full numerical results. The perturbative approach also provides additional physical insight, and is used to derive analytical expressions for the mode indices using a simple model for the dielectric function. The analytical expressions reproduce the results obtained from the numerically-challenging spill-out problem with much less effort and may be used for understanding the effects of QSO on other plasmonic structures.
AB - We numerically study the effect of the quantum spill-out (QSO) on the plasmon mode indices of an ultra-thin metallic slab, using the Fourier modal method (FMM). To improve the convergence of the FMM results, a novel nonlinear coordinate transformation is suggested and employed. Furthermore, we present a perturbative approach for incorporating the effects of QSO on the plasmon mode indices, which agrees very well with the full numerical results. The perturbative approach also provides additional physical insight, and is used to derive analytical expressions for the mode indices using a simple model for the dielectric function. The analytical expressions reproduce the results obtained from the numerically-challenging spill-out problem with much less effort and may be used for understanding the effects of QSO on other plasmonic structures.
UR - http://www.scopus.com/inward/record.url?scp=85076409852&partnerID=8YFLogxK
U2 - 10.1364/OE.27.036941
DO - 10.1364/OE.27.036941
M3 - Journal article
SN - 1094-4087
VL - 27
SP - 36941
EP - 36952
JO - Optics Express
JF - Optics Express
IS - 25
ER -