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A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the "imaginary unit", that satisfies i 2 = −1.
In atmospheric applications, refractivity is defined as N = n – 1, often rescaled as either [60] N = 10 6 (n – 1) [61] [62] or N = 10 8 (n – 1); [63] the multiplication factors are used because the refractive index for air, n deviates from unity by at most a few parts per ten thousand.