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Artificial materials

             15                    or metamaterials





                                      All things are artificial, for nature is the art of God
                                      Sir Thomas Browne Religio Medici






                                   15.1  Introduction
                                   All the materials discussed so far were produced by nature. Well, not by nature
                                   alone. We certainly helped nature here and there. We combined the elements
                                   in a manner which led to a variety of new properties. We managed to persuade
                                   some crystals to grow under circumstances where they were most reluctant to
                                   do so. We produced structures with the thickness of a single atom, but we were
                                   always restricted by the ways atoms were willing to arrange themselves. An
                                   artificial material, on the other hand, may come about by taking an entirely
                                   innocuous dielectric and immersing into it some small elements, and lo and
                                   behold, its electrical behaviour radically changes. Alternatively, an artificial
                                   material may just have a periodic structure made of dielectrics or metals.
                                     The idea of producing artificial materials is not new. The first person who
     Lippmann received the Nobel   managed to do so was probably Gabriel Lippmann, who in 1894 produced
     Prize in 1908.                an artificial material by projecting an image upon a not too thin film of pho-
                                   tographic emulsion. In contrast with the traditional methods of photography,
                                   registering contrast, he developed the film in the form of a dielectric-constant
                                   variation caused by standing waves due to reflection from the rear boundary of
                                   the film. Since different colours have different wavelengths and since the stand-
                                   ing waves due to those colours could be superimposed, Lippmann was able
                                   to produce remarkably good colour photographs. The mechanism is clearly
                                   Bragg reflection (although it was not called so at the time) due to the periodic
                                   dielectric-constant variation.
                                     A mere four years later, in 1898, Jagadis Chunder Bose proposed twisted
                                   jute (see Fig. 15.1) as an artificial material. He showed that such a material
                                   could rotate the polarization of an electromagnetic wave. We would call it
                                   nowadays an artificial chiral material. After such a promising start, the next
                                   half-century, as far as we know anyway, was a rather bleak one. Nothing
                                   happened until the radomes of radars needed somewhat higher dielectric con-
                                   stants than those easily available in natural materials. The solution was to create
                                   artificial materials by inserting metallic pieces (rods, discs, or spheres) into a
                                   very light dielectric. It was done quietly, without causing much excitement.
                                                         ∗
     ∗  D. Walsh, ‘Artificial semiconductors’,  As it happens, one of us also had some ideas concerning artificial ma-
     Nature 243, 33–35 (1973).     terials. The material here is a multilayered structure of alternate thin films
                                   of metal and dielectric. The resulting potential diagram is then similar to the
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