Normal modes analysis for sound waves in an ocean with an ice cap and a perfectly reflecting bottom
Wei Lin, Yongzhi Steve Xu, Yu‐Qiu Zhao · Applicable Analysis · 1996
The normal mode analysis for acoustic waves in a stratified ocean with an ice cap and a perfectly reflection bottom is considered in the paper. Using a transmutation method we obtain a result on the spectrum distribution, and then we study the problem of determining the refraction index n(z). Using asymptotic method we obtain a number of asymptotic estimtes for eigenvalues. These results are used to determine the positions and sizes of the jump discontinuity of n(z).