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The Ohio State Univ. ElectroScience Lab. (ESL) has been, and still continues to be recognized as one of the dominant establishments for the development of asymptotic high frequency solutions, and their associated computer codes, to solve a wide variety of electrically large, radiation and scattering problems of significant engineering interest. Such a position of past and present standing of ESL in asymptotics can be measured through the numerous contributions of its many researchers to this area such as key technical papers, novel computer codes with world-wide demand, participation in a wide variety of national and international invited short courses, as well as providing many book chapters. The role of ESL in the area of asymptotics is described in a historical summary fashion.