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We investigate a general class of electromagnetic devices created with anycontinuous transformation functions by rigorously calculating the analyticalexpressions of the electromagnetic field in the whole space. Some interestingphenomena associated with these transformation devices, including theinvisibility cloaks, concentrators, and field rotators, are discussed. Bycarefully choosing the transformation function, we can realize cloaks which areinsensitive to perturbations at both the inner and outer boundaries.Furthermore, we find that when the coating layer of the concentrator isrealized with left-handed materials, energy will circulate between the coatingand the core, and the energy transmits through the core of the concentrator canbe much bigger than that transmits through the concentrator. Therefore, suchconcentrator is also a power flux amplifier. Finally, we propose a sphericalfield rotator, which functions as not only a wave vector rotator, but also apolarization rotator, depending on the orientations of the spherical rotatorwith respect to the incident wave direction. The functionality of these noveltransformation devices are all successfully confirmed by our analytical fullwave method, which also provides an alternate computational efficientvalidation method in contrast to numerical validation methods.

physical review. b, condensed matter and materials physics

Design and analytically full-wave validation of the invisibility cloaks,  concentrators, and field rotators created with a general class of  transformations