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Since we know the wavelength of light in the two media, we can deduce the effect with pictures. The key is to draw the plane waves as the location of the maximum field values. These crests will be straight lines, but spaced more closely together in the medium with higher index of refraction.
i. Geometrical Optics (ray optics), treated in the first half of the class. Emphasizes on finding the light path. Especially useful for studying the optical behavior of the system which has length scale much larger than the wavelength of light, such as:
Index of refraction \(n = \frac{c}{v}\), where \(v\) is the speed of light in the material, \(c\) is the speed of light in vacuum, and \(n\) is the index of refraction. Snell’s law, the law of refraction, is stated in equation form as \(n_{1} \sin_{\theta_{1}} = n_{2} \sin_{\theta_{2}}\).
Wavelength (λ) The length of one whole oscillation (e.g. the distance between successive peaks/troughs). 5.60 - Wave equation The speed (v) of a wave is equal to the wave’s frequency multiplied by its w avelength. v =f λ 5.61 - Longitudinal waves
Experiments show that when light interacts with an object several times larger than its wavelength, it travels in straight lines and acts like a ray. Its wave characteristics are not pronounced in such situations.
Chapter 9 treats the propagation of plane waves in vacuum and simple media, at planar boundaries, and in combinations confined between sets of planar boundaries, as in waveguides or cavity resonators.
12 Μαρ 2024 · Each wavelength of light is refracted through a different angle. How much light is reflected, and how much is transmitted? In section 6.2 we developed an equation for the percentage of the wave energy that is transmitted and the percentage reflected at a boundary between media.
