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Science, 2006
An invisibility device should guide light around an object as if nothing were there, regardless of where the light comes from. Ideal invisibility devices are impossible, owing to the wave nature of light. This study develops a general recipe for the design of media that create perfect invisibility within the accuracy of geometrical optics.
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An invisibility device should guide light around an object as if nothing were there, regardless of where the light comes from. Ideal invisibility devices are impossible, owing to the wave nature of light. This study develops a general recipe for the design of media that create perfect invisibility within the accuracy of geometrical optics.
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2001
Abstract This chapter is intended as a gentle introduction to the basic notions of conformal geometry. In this way we are able to introduce and discuss some concepts from differential geometry which we will need later. We meet Möbius transformations and then prove Liouville’s celebrated rigidity theorem of 1850, that conformal ...
Tadeusz Iwaniec, Gaven Martin
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Abstract This chapter is intended as a gentle introduction to the basic notions of conformal geometry. In this way we are able to introduce and discuss some concepts from differential geometry which we will need later. We meet Möbius transformations and then prove Liouville’s celebrated rigidity theorem of 1850, that conformal ...
Tadeusz Iwaniec, Gaven Martin
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1992
Abstract This chapter concerns angle-preserving mappings between regions in the complex plane. As we shall see, every holomorphic function whose derivative is non-zero defines such a mapping. These mappings are of intrinsic geometric interest and of importance in advanced complex analysis (Chapter 16 hints at this).
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Abstract This chapter concerns angle-preserving mappings between regions in the complex plane. As we shall see, every holomorphic function whose derivative is non-zero defines such a mapping. These mappings are of intrinsic geometric interest and of importance in advanced complex analysis (Chapter 16 hints at this).
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