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The Coherence of Light Interference and diffraction of light are phenomena known from various experiments. Whereas a dark room used to be necessary to observe interference and diffraction with the use of a monochromatic spectrallight source, it is now possible to observe them in an ordinary room in daylight by using a laser light source. The phenomena of interference and diffraction of light are due to the wave nature of light, which will be discussed in this chapter. 1 Young's Experiment Perhaps the most typical of the experiments showing the wave nature of light is that which was first performed by T.

C. ;r;t;1 11 + 12 Yo I . 25) 32 2. The Coherence of Light If, therefore, we measure the relative intensities of /1 and /2, and the visibility of the interference fringes, we can obtain the value of IYol, that is, the magnitude of Y12 (r). The phase of Y12 (r) is 0 at the brightest part of the interference pattern and 7r at the darkest part. Finally, as an important example, let us consider the coherence function of light whose frequency, although nearly monochromatic, is distributed over a narrow band as explained in Sect.

13) The complex amplitude, thus defined, is used to express the actual amplitude as E(t) = Re {A(t)} . 14), are mutual Hilbert transforms of one another and can be expressed as 1 '" E(t') f - - dt' ' 1l -co t' - t Im{A (t)} = - - E(t) = ~ fco Im{A(t')} dt' 1l -co t' - t ' where the principal value is taken at t = t' in the integral. 4 Complex Representation of Light Field 29 ehromatie waves. By defining the eomplex amplitude analytically, as above, we are now able to deal with electromagnetic waves that change arbitrarily in time and are aeeordingly not monoehromatic.

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