굴절/회절 하이브리드 렌즈 적용 슬림 모바일 렌즈 설계
Slim Mobile Lens Design Using a Hybrid Refractive/Diffractive Lens
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초록
본 논문은 하이브리드 굴절/회절광학소자를 이용한 초슬림 모바일 카메라 렌즈를 보고한다. 먼저 앞서 보고된 23개의 광학 설계 사양 분석을 통해 전장길이(total tack length) 최소화를 위하여, 광시야 렌즈 설계에서 일반적으로 적용되는 음(-)의 렌즈를제1렌즈로 사용하는 리트로포커스(retrofocus) 타입이 아닌, 양(+)의 렌즈가 제일 먼저 선행하는 텔레포토(telephoto) 타입을 선택 하였다. 이후 초기 최적 설계 및 제르니케 다항식 기반 수차 분석을 통한 보정 설계를 진행하였으며, 보정 설계 과정에서 잔여 구면색수차(chromatic spherical aberration)의 효과적 제거를 위하여 굴절 및 회절이 결합된 하이브리드 렌즈 1매를 적용하였다. 적용된 최종 설계는 하이브리드 렌즈 1매 포함 총 6매의 렌즈를 이용하여 F/2.0, 화각 90°, 유효초점길이 2.23 mm, 전장길이 3.7 mm를 달성하였고, 결과적으로 1.7의 낮은 전장길이 대 초점길이 비 즉, 텔레포토비(telephoto ratio)를 달성하였다. 동일 전장길 이를 갖는 하이브리드 렌즈 미적용 비교 설계 대비, 공간주파수 180 cycles/mm에서 MTF 값이 중심 시야에서는 63%에서 71-73% 로 약 8-10% 개선되었고, 0.5, 0.7, 0.9 시야에서도 2-3%의 개선되었다. 또한, 가공성 및 회절 패턴에 의한 산란 등을 고려하였을때 조리개에 위치한 렌즈가 하이브리드 렌즈로 적절함을 알 수 있었고, 이 경우 2개의 회절존으로도 성능 개선이 확인되었다.
Abstract
This paper reports a slim mobile lens design using a hybrid refractive/diffractive optical element. Conventionally a wide field of view (FOV) camera-lens design adopts a retrofocus type having a negative (-) lens at the forefront, so that it improves in imaging performance over the wide FOV, but with the sacrifice of longer total track length (TTL). However, we chose a telephoto type as a baseline design layout having a positive (+) lens at the forefront, to achieving slimness, based on the specification analysis of 23 reported optical designs. Following preliminary optimization of a baseline design and aberration analysis based on Zernike-polynomial decomposition, we applied a hybrid refractive/diffractive element to effectively reduce the residual chromatic spherical aberration. The optimized optical design consists of 6 optical elements, including one hybrid element. It results in a very slim telephoto ratio of 1.7, having an f-number of 2.0, FOV of 90°, effective focal length of 2.23 mm, and TTL of 3.7 mm. Compared to a comparable conventional lens design with no hybrid elements, the hybrid design improved the value of the modulation transfer function (MTF) at a spatial frequency of 180 cycles/mm from 63% to 71-73% at zero field (0 F), and about 2-3% at 0.5, 0.7, and 0.9 fields. It was also found that a design with a hybrid lens with only two diffraction zones at the stop achieved the same performance improvement.
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