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10 - Optics Part 1. Preliminaries. Reflection ( Hero(n) of Alexandria ) : 1 ’ = 1. Only determines direction of reflection, not SPD. Refraction. v = speed of light in mediun (material) c = speed of light in vacuum v = c/n n = index of refraction of medium.
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Preliminaries Reflection (Hero(n) of Alexandria ): 1’=1 Only determines direction of reflection, not SPD
Refraction v = speed of light in mediun (material) c = speed of light in vacuum v = c/n n = index of refraction of medium
Trigonometry refresher: Given the right triangle shown here: sin(B) = b/c cos(B) = a/c tan(B) = b/a Snell’s Law of Refraction: n1 sin 1 = n2 sin 2
Characteristic Frequencies Electric charges in matter respond to a “driving force” of the electromagnetic wave. Greatest response atsome “favored” or resonant frequency 0
Selective Absorption “Damping force” diminishes oscillations - Damped oscillations (hard to illustrate without demonstration & movies
Dispersion Light of different wavelengths will be refracted by different angles Amount of refraction depends on the nature of the material normal dispersion - more refraction at higher frequencies (shorter wavelengths) anomalous dispersion - more refraction at lower frequencies (longer wavelengths)
(a) the amplitude and phase of a damped driven oscillator (c) n = index of refraction k = the absorption coefficient (b) dielectric functions (d) also determines reflectance, too!