Abstract
Transformation optics has demonstrated its ability to design various novel devices, for example, to change objects' sizes, positions or even shapes. This time we come to another magical manipulation: to change the numbers of sources. In this paper, we will design a new class of gradient index lenses from multivalued optical conformal mapping. We shall call them the conformal lenses. Such lenses can make one active source appear omnidirectionally as two (or many) in-phase sources, each interfering with others. As a self-interference phenomenon, this has not been discussed before. Meanwhile, they can transform multiple in-phase sources into one. Other intriguing illusion effects are also demonstrated. Based on the Riemann sheet analysis, the physics mechanism of such effects are well explained. Finally, we apply transmutation methods to design lenses without any singular material parameters.
Highlights
Other illusion effectsWe will introduce five intriguing properties of the conformal lenses for other active sources, such as current sheets
From the theory of optical conformal mapping [5], we should have the relationship of the refractive indexes in w-space and z-space, dw nz = nw dz, (2)
The transformation media described in equations (3) and (4) are called the conformal lenses, which can work for active sources in both the wave optics realm and the geometric optics limit
Summary
We will introduce five intriguing properties of the conformal lenses for other active sources, such as current sheets. We mainly focused on point-to-point mappings, while here we will work on line-to-line mappings. Let us consider is mapped into tw√o lines (from lines (from z = − 2 to −1 and tfwhroe=mtw−zo=√m21apitoptoi√nig2as)nbaderelformwoma. We will consider another mapping, where a line (from z = −1 to 1) is mapped into another (from w = −i to i). −i to a line i) are mapped√into o√ne single line (from (from z = − 2 to 2) is mapped into
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
