Complexity architecture, phase space dynamics and problem-matched Green’s functions

✍ Scribed by Leopold B. Felsen

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 248 KB
• Volume: 34
• Category: Article
• ISSN: 0165-2125
• DOI: 10.1016/s0165-2125(01)00090-7

✦ Synopsis

Analytic forward and inverse modeling of frequency and time domain wave interaction with complex environments, as well as processing of wave-generated data, is performed most effectively when the parameterizing basis functions are phenomenologically matched to the problem requirements. Alternative Green's function (and thereby field) representations equip the modeler with options whose implications, both forward and inverse, are best explored in the configuration (space-time)-spectrum (wavenumber-frequency) phase space. Access to, and organization of, the phase space dynamics is examined here with emphasis on asymptotics which play a central role in phase space parameterization. Relevant concepts are reviewed and illustrated by simple examples assembled from previous publications.