This e-book presents selected papers from the 9th workshop on optimization and inverse problems in electromagnetism, Sorrento, 2006. OIPE workshops provide one of the wider and most relevant forums for the lively community of scientists active in the challenging field of optimization and inverse problems in electromagnetism. In fact, the main aim of OIPE is to discuss recent developments in optimization and inverse methodologies and their applications to the design and operation of electromagnetic devices. Therefore, the workshop presents a stimulating occasion to scientists working in various fields (egs mathematics, physics, engineering etc) to exchange information of potential relevance for the innovation in electromagnetic methods and applications.