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i th layer electrodynamics: A canonical approach

“…3 reveals that P 1 / P in Ϸ1.70ϫ10 Ϫ7 and P 2 / P in Ϸ2.06ϫ10 Ϫ3 in agreement with other work. 13 However, these are also the values of P 1 / P in and P 2 / P in at d 2 ϭn 2 /2 in Fig. 3.…”

“…Although analytic expressions for the fields and the power dissipation of a superconducting film atop a bulk metal has been recently obtained, 13 this has not been done for the sdm structure. Regarding this basic structure, Ceremuga, Barton, and Miranda 17 claim, ''It is obvious that the addition of an intermediate layer to a superconducting structure can only have a significant effect on the propagation properties when thickness ͑sic͒ of the buffer approaches one quarter of the characteristic wavelength.''…”

“…1 yield P film / P in Ϸ8.26 ϫ10 Ϫ5 and P metal / P in Ϸ2.02ϫ10 Ϫ3 , in precise agreement with the results from analytical expressions for a film on a metallic substrate. 2,13,18 The self-consistency check discussed in Sec. IV reveals agreement to over 30 significant figures for each of the Ͼ3500 data points considered in Figs.…”

“…Later work on a single film instead assumes that ''the spatial average of the electric field in the film is ͑given by the electric field at the center of the film͒,'' 11 an approximation which breaks down at large thickness. Other works use a transmission line analog in order to compute the surface wave impedance exactly, and for all d. 2,12,13 The absence of an exact solution for the power dissipated in each region applicable for all film thicknesses for even a single film 14 speaks of the need for the work herein.…”