Solution: Using the Sommerfeld-Malyuzhinets solution, we can calculate the diffraction coefficient: $K_d = \frac{1}{\sqrt{2 \pi}} \int_{-\infty}^{\infty} e^{i k r \cos{\theta}} d \theta$.
3.1 : A wave with a wavelength of 100 m and a wave height of 2 m is traveling in water with a depth of 10 m. What is the wave speed? Solution: Using the Sommerfeld-Malyuzhinets solution
Solution: The boundary conditions are: (1) the kinematic free surface boundary condition, (2) the dynamic free surface boundary condition, and (3) the bottom boundary condition. and (3) the bottom boundary condition.