2017/01/10 by Dionisios Margetis, Margetis, Dionisios, Matthias Maier +3
Engineering · Materials Science · Physics and Astronomy · #35Q61 #45E10 #45K05 #FOS: Physical sciences #Mathematical Physics (math-ph) #Metamaterials and Metasurfaces Applications #Photonic Crystals and Applications #Photonic and Optical Devices #Plasmonic and Surface Plasmon Research
paper · pdf · doi:10.48550/arxiv.1701.02784
openalex publication_date 2017/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By formally invoking the Wiener-Hopf method, we explicitly solve a\none-dimensional, singular integral equation for the excitation of a slowly\ndecaying electromagnetic wave, called surface plasmon-polariton (SPP), of small\nwavelength on a semi-infinite, flat conducting sheet irradiated by a plane wave\nin two spatial dimensions. This setting is germane to wave diffraction by edges\nof large sheets of single-layer graphene. Our analytical approach includes: (i)\nformulation of a functional equation in the Fourier domain; (ii) evaluation of\na split function, which is expressed by a contour integral and is a key\ningredient of the Wiener-Hopf factorization; and (iii) extraction of the SPP as\na simple-pole residue of a Fourier integral. Our analytical solution is in good\nagreement with a finite-element numerical computation.\n