### THE THEORY OF THE REFRACTION OF A SHORT CRESTED GAUSSIAN SEA SURFACE WITH APPLICATION TO THE NORTHERN NEW JERSEY COAST

#### Abstract

The Thorndike Barnhart Dictionary (1951) defines a wave as a "moving ridge or swell of water." Almost everyone will agree to this definition. Milne-Thompson (1938) in Theoretical Hydrodynamics begins Chapter Fourteen on waves with the two paragraphs quoted in full below:

"14.10 Wave motion. A wave motion of a liquid acted upon by gravity and having a free surface is a motion in which the elevation of the free surface above some chosen fixed horizontal plane varies with time.

Taking the axis of x to be horizontal and the axis of z to be vertically upwards, a motion in which the vertical section of the free surface at time t is of the form z = a sin(mx - nt) (1), where a, m, n are constants, is called a simple harmonic progressive wave."

"14.10 Wave motion. A wave motion of a liquid acted upon by gravity and having a free surface is a motion in which the elevation of the free surface above some chosen fixed horizontal plane varies with time.

Taking the axis of x to be horizontal and the axis of z to be vertically upwards, a motion in which the vertical section of the free surface at time t is of the form z = a sin(mx - nt) (1), where a, m, n are constants, is called a simple harmonic progressive wave."

#### Keywords

wave refraction; wave theory; Asbury Park, New Jersery

This work is licensed under a Creative Commons Attribution 3.0 License.