Analysis of Optical Pulse Propagation with ABCD Matrices

We review and extend the analogies between Gaussian pulse propagation and Gaussian beam diffraction. In addition to the well-known parallels between pulse dispersion in optical fiber and CW beam diffraction in free space, we review temporal lenses as a way to describe nonlinearities in the propagation equations, and then introduce further concepts that permit the description of pulse evolution in more complicated systems. These include the temporal equivalent of a spherical dielectric interface, which is used by way of example to derive design parameters used in a recent dispersion-mapped soliton transmission experiment. Our formalism offers a quick, concise and powerful approach to analyzing a variety of linear and nonlinear pulse propagation phenomena in optical fibers.Comment: 10 pages, 2 figures, submitted to PRE (01/01

Subpicosecond single-shot waveform measurement using temporal imaging

Experimental results from a new single-transient optical recorder with < 300 fs resolution are presented. The system uses a 103x temporal imaging system to expand the waveform which is then recorded with a streak camera

Up-conversion time microscope demonstrates 103x magnification of an ultrafast waveforms with 300 fs resolution

We have demonstrated a system for the temporal expansion of arbitrarily shaped ultrafast optical waveforms based on the principle of temporal imaging. This system has demonstrated 103x magnification of an input signal with 300 fs resolution, thus allowing ultrafast phenomena to be recorded with slower conventional technology. The physics of temporal imaging work on a single shot basis, thus it is expected that this technology will lead to a new class of single transient recorders with ultrafast resolution

Temporal imaging system demonstrates 103x magnification

A temporal imaging system obtaining 103x magnification and 300 fs resolution was demonstrated. This system consists of dispersive delay lines and a time lens produced by sum-frequency generation with a chirped pump

Silicon photonics: beating the bottleneck

The use of cascaded nonlinear silicon waveguides that function as 'time lenses' is providing new opportunities for generating and measuring ultrafast optical waveforms