Problem Set #4 23rd May 2016

Modern X-ray Physics

Do Young Noh #PH

1. Evaluate the following integral. 2

Z

e

ik x R+y 0

2

dxdy

2. Evaluate x-ray reflectivity from a thin double layer system grown on a substrate. The index of refraction of each is n1 = 1 − δ1 and n2 = 1 − δ2 respectively, and the thickness is t1 , and t2 . The index of refraction of the substrate is n3 . (hint: apply Parratt’s approach)

3. Show that the intensity of x-rays at an interface can be as large as 4 times of the incident intensity at the interface. (Consider the case when the x-ray is reflected at the critical angle)

1

Problem Set #4 23rd May 2016 Modern X-ray Physics ...

May 23, 2016 - Evaluate x-ray reflectivity from a thin double layer system grown on a substrate. The index of refraction of each is n1 = 1−δ1 and n2 = 1−δ2 respectively, and the thickness is t1, and t2. The index of refraction of the substrate is n3. (hint: apply Parratt's approach). 3. Show that the intensity of x-rays at an ...

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