The Journal of the Acoustical Society of Korea (한국음향학회지)

The Acoustical Society of Korea (한국음향학회)
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Computational study on prediction of electrical beam steering phenomenon of parametric array sound source

파라메트릭 어레이 음원의 전기적 빔 조향 현상 예측을 위한 수치 해석 기법 연구

  • 빈경훈 (포항공과대학교 기계공학과) ;
  • 엄원석 (연세대학교 기계공학과) ;
  • 문원규 (포항공과대학교 기계공학과)
  • Received : 2019.05.21
  • Accepted : 2019.07.05
  • Published : 2019.09.30
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Abstract

The parametric array phenomenon refers to the generation of a high directivity low frequency wave from a small size radiation plate using the nonlinearity of the medium. In order to improve the usability of parametric array, the beam steering method of low frequency wave is researched, and the beam steering phenomenon is predicted easily using the PD (product directivity) model. However, the PD model can only be applied to Gaussian sources under quasi-linear conditions. Also, the prediction accuracy of low frequency wave beam width is poor. In this paper, a method for predicting the beam steering characteristics of a parametric array that can overcome the limitation of the PD model is investigated. For this purpose, the numerical analysis algorithm of the KZK (Khokhlov-Zabolotskaya-Kuzentsov) equation widely used for parametric array phenomenon prediction is improved. Thus, the beam steering characteristics are calculated by applying the electrical beam steering condition and comparing experimental results. As a result, the numerical analysis using the modified KZK equation algorithm in this study confirms that the beam steering phenomenon can be predicted even in a parametric array source that does not correspond to the quasi-linear condition.

파라메트릭 어레이란 매질의 비선형성을 이용하여 작은 크기의 방사판에서 고지향성 저주파음을 발생시키는 현상을 말한다. 이러한 파라메트릭 어레이의 유용성을 높이기 위해 저주파 음향 빔 조향 연구가 진행 되고 있으며, PD(Product Directivity) 모델을 이용하여 빔 조향 현상이 간편하게 예측되고 있다. 그러나 PD 모델은 준선형 조건에서 가우시안 음원만 적용이 가능하며, 저주파 음향 빔 폭의 예측 정확성이 떨어진다. 본 논문에서는 PD 모델의 한계를 극복할 수 있는 파라메트릭 어레이의 빔 조향 특성 예측 방법에 대해 연구하였다. 이를 위해 파라메트릭 어레이 현상 예측에 널리 사용되는 KZK(Khokhlov-Zabolotskaya-Kuzentsov) 방정식의 수치 해석 알고리즘을 개선하였다. 그리고 전기적 조향 조건을 적용하여 빔 조향 특성을 계산, 실험 결과와 비교 하였다. 그 결과 개선된 알고리즘을 이용하면 준선형 조건에 해당되지 않는 파라메트릭 어레이 음원에서도 저주파 빔 조향 특성 예측이 가능함을 확인하였다.

Keywords

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