Generalised Transformation Media

Lead Research Organisation: Imperial College London
Department Name: Physics

Abstract

Recently researchers have discovered how to manipulate both light and sound in a 'designer' fashion. This expertise has progressed to the extent that laboratory demonstrations of invisibility cloaks not only already exist, but are improving year on year. Since simple invisibility has almost become mundane for the follower of scientific developments, we have had to reinvent the very notion of what `invisible' means. So rather than making merely objects invisible, we have discovered how to manipulate light in such a way that the objects remain in plain sight whilst selected events involving them are hidden - a 'History Editor'. This means that in principle, things can occur without being detected or suspected, even if under the unwavering gaze of a surveillance camera.

The underlying mathematical idea that led us to these discoveries is that the coordinates used to describe how light travels through space and time are arbitrary. This means that no matter what procedure we choose to follow for recording coordinate times and coordinate locations, the processes that we are describing must look the same. Even if we decide to use curved, distorted, or otherwise transformed coordinates, any light we are describing must still travel in straight lines. However, if I instead insist that the new coordinates be straight, then to compensate, the light rays must appear to travel along curved paths. If we then decide on a useful set of transformed coordinates, perhaps ones defining an invisibility cloak, mathematics can tell us exactly how to design a material so that the light rays are actually curved in the same way. This idea is known as Transformation Optics, and it is one that is exciting researchers the world over. These scientists are now able to design and make a whole host of new optical devices such as 'carpet cloaks', concentrators, or even artificial black holes.

Although Transformation Optics is now quite developed, we want to develop a more general theory called Transformation Media. This will describe how the ideas from Transformation Optics can be made more general and independent of specific areas of physics, such as acoustics, heat diffusion, electromagnetics, and quantum mechanics. This new unified 'Transformation' design tool and mind set will enable a raft of possible applications, from simple but pervasive enhancements to existing device technology, to more novel devices of a type that may even once been thought impossible. These may include, but are not limited to, acoustic black holes and sonar history editing, heat cloaking for firefighters and quantum wave manipulation for nanotechnology.

Planned Impact

This research will impact primarily on investigators in a number of disciplines and technologies (e.g. optics, acoustics, thermal engineering). Our proposed precisely coded `how to' recipe for applying a `Transformation Media' algorithm to their specific starting point will enable them to think in new ways. They will then be able to design both enhanced and entirely new types of device, all by using materials with properties tailored by the transformation recipe. Penetration and impact of our research is likely to occur on a timescale of about 5 years, as awareness grows across multiple fields of our new and powerful approach.

We have also thought carefully about how to widen the Impact of our research in `real-time', particularly to schools and the general public, where we believe we have specific expertise and experience:

Schools: The PI has, over the last three years, developed an undergraduate course module called `Communicating Physics'. This optional course for third year undergraduates enables them to spend a few hours each week in the spring term at a school to assist in the teaching of physics, and in encouraging pupils to take their studies further (particularly at Imperial!). This has now developed into an approved 3-year degree programme 'Physics with Science Education', which will graduate students with a fully Institute of Physics accredited physics degree and also confer Qualified Teacher Status. The degree is run jointly with experts in initial teacher training at Canterbury Christ Church University. In the current climate this represents an enormous development towards increasing the number and quality of specialised physics teachers in schools. As a result, we are very well connected with a host of schools and outreach organisations (e.g. the Science Museum). We will use these contacts to deliver regular outreach lectures to schools and other venues and so introduce the ideas and concepts of Transformation Media to aspiring physicists. Indeed, we have just developed an elegant water-wave transformation device called `Maxwell's Fishpond', of an ideal size to use in demonstrations, and which is based on an idea developed by James Clerk Maxwell himself.

Media: Publication of our Spacetime Cloak paper in November 2010 caused a media flurry across the globe, with virtually all major scientific media outlets carrying a brief report of our idea that events, not just objects, can be cloaked. We had to learn very quickly how to deal with reporters, conduct radio and television interviews, and give popular lectures. The Communications Office at Imperial has been exceptionally effective in acting as the professional interface between us as scientists and the wider public. A second wave of publicity is occurring at the time of writing following the publication in Nature of the report from a group at Cornell who have built the first spacetime cloak. The result of all this is that we are now reasonably `media savvy', being familiar with embargo protocols and writing popular press releases, and being well connected to the media machines of our own institution and the Institute of Physics. We now have a good eye for what makes a good story, and so if, for example, our research provides a simple recipe for making a heat cloaking device, we will not only write the paper, but use our experience and contacts to make sure that a brief report appears in appropriate media outlets.

Publications

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Kinsler P (2015) Measure for carrier shocking in Journal of the Optical Society of America B

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Kinsler P (2018) Impedance rescaling and scattering from transformation optics devices in Journal of Physics Communications

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Kinsler P (2015) The futures of transformations and metamaterials in Photonics and Nanostructures - Fundamentals and Applications

 
Description We have devised a theoretical framework that enables us to extend ideas about visually hiding objects through a technique known as 'Transformation Optics', to other areas of physics such as acoustics. We found out that a perfect match beyond optics is not possible, and put careful mathematical boundaries on the extent to which the theory can be applied. We were also able to build on our earlier work on `spacetime cloaking', in which we showed how it was possible to go beyond cloaking objects in space, to hiding events in time. Again, we were able to show that so-called 'temporal cloaking' could, in principle, be realised beyond optics.
Exploitation Route Our work has been published in academic journals and cited by other researchers in the field. The work on temporal cloaking in particular, is generating interest in the possibility of an acoustic temporal cloak that could have significant implications for underwater sonar tracking. Some of the mathematical techniques developed in this programme have spawned collaborations between the PI and other researchers. Directly resulting from our coordinate-free approach has been new investigations into the constitutive relations in classical Maxwell theory. Researchers at Lancaster University have recently developed (in collaboration with the programme PI and PDRA) an extended approach that can potentially yield new experimentally accessible electromagnetic phenomena.
Sectors Aerospace, Defence and Marine,Digital/Communication/Information Technologies (including Software),Education,Energy,Environment

 
Description Our findings have been used by other researchers to assist in their theoretical and experimental studies of transformation media. Key output was two separate contributions to the "Roadmap on Transformation Optics" published in J.Opt. in 2018, which has now been cited 42 times. Our two forward-looking articles "The Futures of Transformations and Metamaterials" (2014), and "Cloaks, editors, and bubbles: applications of spacetime transformation theory" (2015) have over 20 citations each. One of these (i.e. "Futures ...") was a follow-up to the "Transforming Transformation Optics" workshop we ran during the grant period (in 2013). As of early 2022, the publications resulting from this grant have a collective h-index of 6. After the end of the grant, the postdoc funded by the grant (Dr Paul Kinsler) moved on to work at a hybrid LU/Cockcroft position working with Dr Jonathan Gratus, involving an EM field mode sculpting project. The proposed mechanism of using modulated wire arrays has significant overlap with the metamaterial concepts that underpin transformation devices. This new position contained sufficient flexibility to permit follow-on publications from this.
Sector Education,Other
Impact Types Cultural