The improved point matching method for triangular metal gratings

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• 作者：Scarlat ; F. ; Facina ; M. ; Dinca ; C.D. ; Manu ; V. ; Karabarbounis ; A. ; Papadakis ; J. ; Stiliaris ; E. ; et. al.
• 关键词：Smith&ndash ; Purcell ; Triangular metal grating ; Point matching method ; Microtron
• 刊名：Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms
• 出版年：2001
• 出版时间：January, 2001
• 年：2001
• 卷：173
• 期：1-2
• 页码：93-98
• 全文大小：170 K

文摘

In this paper, we present the “point matching method” (PMM) adapted for the calculation of Smith–Purcell (SP) radiation parameters in H-polarization, generated by relativistic electron beams (REB) passing close to a triangular metal grating. A truncated expression H^d_y,n(N;β,ω) was used in order to find the coefficients H^d_y,n(β,ω) in the infinite Rayleigh expansion of the diffracted field of a moving electron. A linear system of 2N+1 equations was solved, increasing the number N of harmonics until convergence solutions were achieved. When N→∞ then lim_N→∞H^d_y,n(N;β,ω)=H^d_y,n(β,ω) and the diffracted field can be calculated. SP radiation factors were calculated using the modified PMM for electron energies in 1–30 MeV domain and metal gratings with period length in 1–10 mm range.