Applied Charged Particle Optics by A.L. Septier

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By A.L. Septier

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Extra resources for Applied Charged Particle Optics

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What are the interesting properties of this ﬁeld? 1. Calculate the shadow radiation part of the PO scattered ﬁeld. 89). Apply j e,sh = nˆ × H inc , j m,sh = −ˆn × E inc . (b) (c) (d) (e) Prepare the integral expression for the shadow radiation. 29), and calculate the far ﬁeld (r ka2 ) in closed form. Estimate the ﬁeld in the directions φ = φ0 , φ = π − φ0 , and φ = π + φ0 . 16) to the ﬁeld in the direction φ = φ0 and provide the geometrical interpretation of the total power of the shadow radiation.

The PO shortcomings are overcome in the PTD (Uﬁmtsev, 1962, 1991, 2003), which improves PO by taking into account the diffracted surface ﬁeld. 4 NONUNIFORM COMPONENT OF INDUCED SURFACE FIELD Surface ﬁelds u or ∂u/∂n induced by the incident wave on the scattering object can be considered as the sources of the scattered ﬁeld. As noted in the Introduction, the central and original idea of PTD is the separation of these sources into uniform and nonuniform components: (0) (1) js,h = js,h + js,h . 31) and represents the surface ﬁeld induced on the inﬁnite plane tangent to the object (Figs.

As shown in the work of Pelosi et al. (1998), the edge diffracted rays had already been visually observed already by Newton, although he did not use such a terminology. The term “diffracted ray” was introduced by Kalashnikov (1912), who was also the ﬁrst to present an objective experimental proof of the existence of edge diffracted rays by recording them on a photographic plate. Theoretically, their existence was established ﬁrst by Rubinowicz (1924) and later on by many other researchers. Keller (1962) formulated the concept of diffracted rays in a general form.