Korean Journal of Optics and Photonics (한국광학회지)

Optical Society of Korea (한국광학회)
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Proof-of-principle Experimental Study of the CMA-ES Phase-control Algorithm Implemented in a Multichannel Coherent-beam-combining System

다채널 결맞음 빔결합 시스템에서 CMA-ES 위상 제어 알고리즘 구현에 관한 원리증명 실험적 연구

  • Minsu Yeo (Department of Electrical and Computer Engineering, Seoul National University) ;
  • Hansol Kim (Department of Electrical and Computer Engineering, Seoul National University) ;
  • Yoonchan Jeong (Department of Electrical and Computer Engineering, Seoul National University)
  • 여민수 (서울대학교 전기정보공학부) ;
  • 김한솔 (서울대학교 전기정보공학부) ;
  • 정윤찬 (서울대학교 전기정보공학부)
  • Received : 2024.04.12
  • Accepted : 2024.05.08
  • Published : 2024.06.25
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Abstract

In this study, the feasibility of using the covariance-matrix-adaptation-evolution-strategy (CMA-ES) algorithm in a multichannel coherent-beam-combining (CBC) system was experimentally verified. We constructed a multichannel CBC system utilizing a spatial light modulator (SLM) as a multichannel phase-modulator array, along with a coherent light source at 635 nm, implemented the stochastic-parallel-gradient-descent (SPGD) and CMA-ES algorithms on it, and compared their performances. In particular, we evaluated the characteristics of the CMA-ES and SPGD algorithms in the CBC system in both 16-channel rectangular and 19-channel honeycomb formats. The results of the evaluation showed that the performances of the two algorithms were similar on average, under the given conditions; However, it was verified that under the given conditions the CMA-ES algorithm was able to operate with more stable performance than the SPGD algorithm, as the former had less operational variation with the initial phase setting than the latter. It is emphasized that this study is the first proof-of-principle demonstration of the CMA-ES phase-control algorithm in a multichannel CBC system, to the best of our knowledge, and is expected to be useful for future experimental studies of the effects of additional channel-number increments, or external-phase-noise effects, in multichannel CBC systems based on the CMA-ES phase-control algorithm.

본 연구에서는 다채널 결맞음 빔결합 시스템에서 공분산 행렬 적응 진화 전략(covariance-matrix-adaptation-evolution-strategy, CMA-ES) 알고리즘의 구현 가능성을 실험적으로 확인하였다. 파장이 635 nm인 결맞음 광원과 함께 공간 광 변조기를 다채널 위상 변조기 배열로 활용하는 다채널 결맞음 빔결합 시스템을 구성하고, 확률적 병렬 경사 하강(stochastic parallel gradient descent, SPGD) 및 CMA-ES 알고리즘을 결맞음 빔결합 시스템에 적용하여 획득한 두 알고리즘의 동작 특성을 비교하였다. 사각 구조인 16채널 및 벌집 구조인 19채널 결맞음 빔결합 시스템에서 두 알고리즘의 동작 특성을 평가한 결과 두 알고리즘의 동작 특성은 주어진 조건에서 평균적으로 유사하였으나, CMA-ES 알고리즘이 SPGD 알고리즘에 비해 초기 위상값 설정에 따른 동작 특성 변동이 상대적으로 작아 보다 안정적으로 동작할 수 있음을 확인하였다. 본 연구는 저자가 아는 범위 내에서 CMA-ES 위상제어 알고리즘을 다채널 결맞음 빔결합 시스템에 적용한 최초의 원리증명 시연이며, 향후 CMA-ES 위상제어 알고리즘에 기반한 다채널 결맞음 시스템에서 채널 수 증가 혹은 외부 위상잡음 효과 등을 실험적으로 연구할 때 유용하게 활용될 수 있을 것으로 기대된다.

Keywords

Acknowledgement

이 논문의 연구는 국방과학연구소(Grant no. UD210019ID)의 지원으로 수행되었습니다.

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