Korean Journal of Optics and Photonics (한국광학회지)

Optical Society of Korea (한국광학회)
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Design of Rugate Filters of Inhomogeneous Refractive Index Using the Fourier transform

Fourier 변환을 이용한 불균일 굴절률 Rugate 필터의 설계

  • 조현주 (인하대학교 이과대학 물리학과) ;
  • 이종오 (인하대학교 이과대학 물리학과) ;
  • 황보창권 (인하대학교 이과대학 물리학과)
  • Published : 1995.09.01
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Abstract

Rugate filters of inhomogeneous refractive index were designed using the Fourier transform and the effect of reflectance, stop bandwidth, optical thickness, and Q function on the rugate filter was investigated. An iterative correction process using a merit function was employed to fit an initial design to the target spectrum. Three Q functions derived by Sossi, Bovard, and Fabricius, respectively, were compared in terms of the number of iteration, merit function, and optimum optical thickness. The result shows that after a number of iterations the Q functions by Bovard and Fabricius produce high rejection rugate filters closer to the target spectrum than the Sossi's Q function and the optimal optical thickness is determined by the stop-band width of the rugate filter. ilter.

Fourier 면환을 이용하여 불균일 굴절률 박막의 rugate 필터를 설계하였으며 rugate 필터의 반사율, 대역폭, 광학 두께, Q 함수 등을 변화시키며 Fourier 변환의 여러 가지 특성을 조사하였다. 주어진 단선 및 이중 rugate 필터의 과녁 스펙트럼에 불균일 굴절률 박막의 스펙트럼을 맞추기 위하여 merit 함수를 사용하였으며 merit 값이 최소가 되도록 Q 함수를 반복계산하여 수정하였다. Sossi, Bovard, Fabricius가 각각 유도한 세 종류의 Q함수를 반복계산 횟수, merit 함수의 값, 최적 광학두께 등의 관점에서 비교하였다. 반사율이 높은 rugate 필터 설계에는 반복계산 수정 후 반사율이 과녁스펙트럼에 가까운 Bovard와 Fabricius의 Q함수가 적당하며, 광학 두께는 최소 광학두께만 넘으면 반복계산 수정과정을 이용하여 과녁반사율을 맞출 수 있으므로 반사대역폭이 허용하는 광학두께로 결정하면 될 것이다.

Keywords

References

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