In a wide variety of physics problems, especially those which involve wave phenomena such as in electromagnetics and acoustics, a behavior results that can be described by systems of linear (partial) differential equations. Solutions to such problems often can be expressed simply in the form of an exponential series. Some specific background material for this approach is discussed, and a variety of example applications is summarized. (WHK)

Lawrence Livermore National Laboratory (LLNL) is using large aperture Nd: glass lasers to investigate the feasibility of inertial confinement fusion. In our experiments high power laser light is focussed onto a small (100 to 500 micron) target containing a deuterium-tritium fuel mixture. During the short (1 to 5 ns) laser pulse the fuel is compressed and heated, resulting in fusion reactions. The generation and control of the powerful laser pulses for these experiments is a challenging scientific and engineering task, which requires the development of new optical materials, fabrication techniques, and coatings. LLNL with the considerable cooperation and support from the optical industry, where most of the research and development and almost all the manufacturing is done, has successfully applied several new developments in these areas.