Transcription of Assignment 3. - users.encs.concordia.ca
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Assignment 3. - users.encs.concordia.ca
ELEC425/1-2012 1. Assignment 3. Assignment 3. ( ), ( ), ( ), ( ), ( ), ( ), ( ), ( ), ( ). Spectral widths a) Suppose that the frequency spectrum of a radiation emitted from a source has a central frequency and a spectral width . The spectrum of this radiation in terms of wavelength will have a central wavelength and a spectral width . Clearly, = c/ . Since and , using = c/ , show that the line width and hence the coherence length lc are 0 2. = = 0. 0 c and 20. l c = c t =.. b) Calculate for a lasing emission from a He-Ne laser that has = nm and GHz. Solution. a). d c = 2. d . c = . d . = 2 = . d . The negative sign means that if increases by d then decreases by d . The spectral width, or are much smaller than the emission wavelength (or the central wavelength, ) or the emission frequency (or the central frequency), respectively.
Consider the Ar ion laser system. Given that the emission wavelength is at 488 nm and the linewidth in the output spectrum is about 5·10 ⁹ Hz between half intensity points, estimate the photon concentration necessary to achieve more stimulated emission than …
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