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Calculation of Reflectivity for W/Si Multilayer Mirror of Small d-Spacing

작은 두께주기를 갖는 W/Si 다층박막거울의 반사율 계산

  • Chon, Kwon Su (Department of Radiological Science, Daegu Catholic University)
  • 천권수 (대구가톨릭대학교 방사선학과)
  • Received : 2017.11.26
  • Accepted : 2018.02.28
  • Published : 2018.02.28

Abstract

Multilayer mirrors are optical elements that can replace single crystal optical elements such as silicon or germanium, and they have artificial diffraction plane of a thickness of several nanometers. We examined the first Bragg angle and the reduction of reflectivity by variation of layer thickness in a W/Si multilayer mirror of small d-spacing. A W/Si multilayer mirror for an incidence angle of $0.55^{\circ}$ and an energy of 17.5 keV was designed and showed a maximum reflectivity of 72.67%. When the thickness of tungsten or silicon layer was simultaneously changed, the first Bragg angle was shifted and the reflectivity was reduced. When there was a change in thickness for one layer of W/Si multilayer, no change in the reflectivity was showed but the unevenness of the envelope was observed. Reduction of reflectivity was also observed at random Gaussian thickness variations. It is possible to predict the tolerance of multilayer mirror by examining the reflectivity degradation according to the thickness change in the W/Si multilayer mirror of small d-spacing.

다층박막거울은 규소나 게르마늄과 같은 단결정 회절소자를 대체할 수 있는 광학소자로 수 나노미터 두께의 인공적인 회절 평면을 갖는다. 작은 두께 주기를 갖는 W/Si 다층박막거울에서 박막의 두께 변화에 따른 첫 번째 브래그 각도 및 반사율 저하를 조사하였다. 작은 두께 주기를 갖는 W/Si 다층박막거울은 $0.55^{\circ}$ 및 17.5 keV에서 최대 반사율을 나타내도록 설계되었고 72.67%의 반사율을 보였다. 텅스텐 및 규소의 박막 두께가 동일하게 변화되었을 때 첫 번째 브래그 각도의 변화 및 반사율 저하가 관찰되었다. 다층박막거울에서 텅스텐 박막중 하나의 층에서만 두께 변화가 있을 때는 반사율의 변화는 없지만 포락선의 요철이 관찰되었다. 무작위적인 가우시안 두께 변화에서도 반사율 저하가 관찰되었다. 작은 두께 주기를 갖는 W/Si 다층박막거울에서 두께 변화에 따른 반사율의 저하를 통해 제작되는 다층박막거울의 공차를 예측할 수 있을 것이다.

Keywords

References

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