A concise analytical model has been reported for investigating the modulation of light using a dynamic medium, under two rather general assumptions. Based on this model, a phenomenon called time-domain imaging has been predicted which is that, after the modulation by the dynamic medium linearly changing with time, an arbitrary input light can be converted into an output light with temporal distribution having the geometric similarity to that of the input light, much like the spatial imaging of an optical lens, except for time retardation. This prediction agrees with the finite-difference time-domain simulation well. This kind of modulation of light has potential application in frequency conversion, compression, and widening of pulses of light. Some problems about experimental demonstration are discussed. Because of its concise form, the developed model can also be useful for studying other dynamic medium problems, for example, pulse shaping.
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