Small-amplitude water wave kinematics are modeled using Airy Linear Wave Theory. The surface elevation profile $(\eta)$ of a progressive wave traveling in the x-direction is given by: $\eta = a \cdot \cos(k \cdot x - \omega \cdot t)$ Where $a$ is wave amplitude, $k$ is wave number $(k = 2\pi / L),$ and $\omega$ is angular frequency $(\omega = 2\pi / T).$ The relationship between wave frequency, water depth (d), and wavelength (L) is governed by the Linear Wave Dispersion Relation: $\omega^2 = g \cdot k \cdot \tanh(k \cdot d)$ In deep water $(d/L > 0.5),$ $\tanh(k \cdot d) \to 1,$ reducing wave celerity to $C_0 = \frac{g \cdot T}{2\pi}.$ In shallow water $(d/L < 0.05)$, wave speed depends solely on water depth: $C = \sqrt{g \cdot d}.$ Monsoonal storm surges and cyclonic wave actions along India's coastline (e.g., eastern Bay of Bengal) cause severe coastal erosion and port infrastructure damage. Modern coastal engineering projects integrate wave transformation models (suc...