A Complex Phase Notation, Engineer's vs. Physicist's
A.1 Sinusoidal Waves
This book presents mathaematical models for the propagation of light through various apertures, optical elements, and linear and nonlinear media. Light is an electromagnetic wave where both the electric and magnetic fields are sinusoidal in terms of both position and time. The simplest mathematical representation of sinusoidal waves is using the trigonometric functions sin and cos. Choosing the cosine function, the general expression for a sinusoidal wave can be written as
f(z,t) = Aocos[k(z−vt)+φ], (A.1)
where the phase of the wave is everything inside the trigonometric function argument, or [k(z−vt)+φ].
Equation A.1 represents a sinusoidal wave traveling in the +
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