2018 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting, APSURSI 2018, Massachusetts, United States Of America, 8 - 13 July 2018, pp.921-922, (Full Text)
© 2018 IEEE.We exploit complex transformation optics (CTO), which generalizes conventional transformation optics (TO) from real-value to complex-valued coordinate transformations, to produce Gaussian-like beams from point sources. In the paraxial region, a Gaussian beam can be recognized as the field produced by a complex-source-point (CSP) with imaginary displacement along the axial beam direction. A CSP is simply a hypothetical source that is located at a complex-valued coordinate point. CTO stipulates that any coordinate transformation that would displace the (real-valued) spatial coordinates of a point source to (equivalent) complex-valued spatial coordinates can be mimicked by properly chosen metamaterial parameters. The proposed methodology yields a direct mapping of electromagnetic structure (viz. engineered material constitutive parameters) to electromagnetic function (field synthesis). This mapping is predictive and parametric.