====== Diagram Wave Reflection at a Structure ======
The displayed wave profiles are calculated according to the linear wave theory of //Airy/Laplace//.\\
Therefore, the water surface elevation follows the equation \( \eta (x,t) = \frac{H}{2} \cdot \cos(k \cdot x - \omega \cdot t)\). \\ \\
The wave energy is calculated as \( E = \frac{1}{8} \cdot \rho_w \cdot g \cdot H^2 \), while the coefficients presented are as follows: \( K_r = \frac{H_r}{H_i} \), \( K_t = \frac{H_t}{H_i} \), \( K_d = \frac{H_d}{H_i} \). Furthermore: Sea water density \( \rho_w = 1025 \frac{kg}{m^3} \), as well as acceleration due to gravity \( g = 9.81 \frac{m}{s^2} \). \\ \\
Since the wave energy of the incoming wave is maintained according to \( E_i = E_r + E_t + E_d \), follows: \( {K_r}^2 + {K_t}^2 + {K_d}^2 = 1 \).
Lernplattform des Leichtweiß-Institut für Wasserbau
 ___Incoming wave
 ___Reflected wave
 ___Resulting water surface elevation
 ___Transmitted wave
The field of Wave Transformation is part of the module **[[https://www.tu-braunschweig.de/en/lwi/hyku/teaching/master/basic-coastal-engineering|Basic Coastal Engineering]]** within the specialization Coastal and Ocean Engineering of the master programmes Civil and Environmental Engineering.