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A collimated beam of white light falls at normal incidence on a plate of glass of...

A collimated beam of white light falls at normal incidence on a plate of glass of index n and thickness d. Develop a formula for the transmittance as a function of wavelength. Show that maxima occur at those wavelengths such that

where λN, is the vacuum wavelength and N is an integer. The transmission function is thus periodic (in wavenumber or frequency) and is called a “channeled spectrum.”

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