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Accuracy Verification of Theoretical Models for Estimating Microwave Reflection from Rough Sea Surfaces

거친 바다표면의 마이크로파 반사 계산을 위한 이론적 모델 정확도 검증

  • Park, Sinmyong (Department of Electronic and Electrical Engineering, Hongik University) ;
  • Oh, Yisok (Department of Electronic and Electrical Engineering, Hongik University)
  • 박신명 (홍익대학교 전자전기공학과) ;
  • 오이석 (홍익대학교 전자전기공학과)
  • Received : 2017.05.08
  • Accepted : 2017.10.03
  • Published : 2017.10.31

Abstract

This paper presents the verification of accuracies of theoretical models for calculating the microwave reflections from rough sea surfaces. First of all, the Pierson-Moskowitz ocean spectrum was used to generate the rough sea surfaces. Then the relationship between the significant wave heights, root-mean-square(RMS) heights and wind speed was derived by estimating the significant wave heights and RMS heights of the generated sea surfaces according to various wind speeds, and compared the derived relationship with other measurement data sets. The reflection coefficients of the sea surfaces were calculated by using a numerical method(the moment method). Then, the numerical results were compared with Ament model, PO(Physical Optics) model, GO(Geometrical Optics) model and B-M(Brown-Miller) model for various roughness conditions(wind speed) and incidence angles. It was found that the Ament model is not accurate except for a very low roughness conditions($kh_{rms}$<0.4, k is wavenumber and $h_{rms}$ is RMS height). It was also found that at incidence angles lower than $70^{\circ}$, the PO and the GO models agree well with the numerical results, while the B-M model agrees well with the numerical analysis results at incidence angles higher than $80^{\circ}$ for very rough sea surfaces with $kh_{rms}$>10.

본 논문에서는 거친 바다표면의 마이크로파 반사를 계산할 수 있는 이론적 모델의 정확도를 검증한다. 우선 Pierson-Moskowitz 해양 스펙트럼을 이용하여 거친 바다표면을 생성하였다. 생성된 바다표면의 유의파고와 유효높이(root-mean square height)값을 추정하여 풍속에 따른 유의파고, 유효높이 관계식을 유도하였고, 다른 측정 데이터들과 비교하였다. 수치해석적 방법을 이용하여 다양한 거칠기 조건(풍속)에서 생성된 바다표면의 반사계수를 계산하였고, 기존에 반사계수를 계산하기 위해 사용하는 이론적 모델인 Ament 모델, PO(Physical Optics) 모델, GO(Geometrical Optics) 모델, B-M(Brown-Miller) 모델과 비교하였다. 비교적 거칠기가 매우 낮은 경우($kh_{rms}$<0.4, k는 파수, $h_{rms}$는 RMS 높이) 외에는 Ament 모델은 정확하지 않았다. 또한 거칠기가 크지 않은 바다($kh_{rms}$<10)에서는 PO, GO, B-M 모델들의 정확도가 보장되지만, 풍속이 높아 거칠기가 높은 바다($kh_{rms}$>10)에서는 입사각이 $70^{\circ}$ 이하에서는 PO 모델과 GO 모델이 수치해석결과와 비교적 잘 일치하였으며, $80^{\circ}$ 이상에서는 B-M 모델이 수치해석 결과와 비교적 잘 일치함을 보였다.

Keywords

References

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