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the woman hides holding a mirror in front of her face; introspection path concept
π Science and technology

Invisibility is just around the corner

Kim Pham
Kim Pham
Associate Professor in Mechanics at ENSTA Paris (IP Paris)
Key takeaways
  • In their quest for invisibility, researchers have developed “metamaterials”.
  • These are objects with multiple microscopic details capable of deflecting a wave from its path, thus preventing it from being reflected on a targeted object.
  • The concept of invisibility applies to any type of wave, making an object “invisible” to a wave protects it from its various effects.
  • As such, this concept can have many real-world applications such as making submarines invisible to sonar, protecting ports from sea waves, developing an anti-earthquake city and, perhaps allowing a person to become invisible.

The­or­et­ic­ally, if an object does not reflect a wave, then it is invis­ible to it. This applies to all types of waves, wheth­er elec­tro­mag­net­ic – such as vis­ible light, for example – acous­tic or seis­mic. How­ever, in prac­tice, many tech­nic­al chal­lenges remain, which still pre­vent us from achiev­ing com­plete invisibility. 

In their quest for invis­ib­il­ity – and in the absence of Harry Pot­ter magic – research­ers have used their know­ledge of phys­ics to devel­op metama­ter­i­als, which are struc­tures with micro­scop­ic details that can be spe­cified by the user depend­ing on the desired applic­a­tion. The mul­ti­tude of these details have the effect of trap­ping a tar­get wave passing through, mak­ing it either res­on­ate until it uses up all its energy, or deflect it to avoid reflect­ing off the tar­get object. Thus, ren­der­ing the object invis­ible. Kim Pham, lec­turer at the Mech­an­ics Unit of ENSTA Par­is, is work­ing on this sub­ject that spreads out to vari­ous applications.

#1 Acoustic waves:

Becoming invisible to sonar

Nature has giv­en us an inter­est­ing lead in the form of whales, and more pre­cisely one of their hunt­ing tech­niques. To hunt, they some­times release a wall of bubbles inside which they make sounds. The wall of bubbles trap acous­tic waves with­in it, caus­ing them to res­on­ate, thus stun­ning fish trapped inside. Where­as, from the out­side, the sound is almost imper­cept­ible. This prin­ciple is explained by Min­neart res­on­ance, and the effect of the dens­ity con­trast between air and water. A micro­scop­ic bubble can res­on­ate wavelengths a hun­dred times great­er than itself and relies on the mul­ti­tude of bubbles. The res­ult is a wall quite sim­il­ar to metama­ter­i­als. As such, this example offers an insight into how acous­tic waves can be con­trolled through the concept of invisibility.

Dur­ing the Second World War, the Ger­mans had already developed a sim­il­ar defence tech­nique for their sub­mar­ines by lin­ing their extern­al sur­face with anecho­ic tiles. Kim Pham, for example, is work­ing on these tiles to bet­ter under­stand their math­em­at­ic­al logic and improve their effects. Com­posed of mul­tiple cav­it­ies, they render the sub­mar­ine undetect­able to son­ar waves, provided that the cav­it­ies are adjus­ted to the right frequency.

Photo by Jonath­an Cooper on Unsplash

#2 Maritime ripples:

Protecting ports from waves

Anoth­er use­ful applic­a­tion is the pro­tec­tion of har­bours from undu­lat­ory move­ments of the sea, espe­cially from swell. The aim is to calm the sea sur­face of the har­bour. It is tech­nique already exists, using large con­crete blocks, how­ever they aren’t very eco­lo­gic­al. To rem­edy this, Kim Pham and his team are pro­pos­ing a float­ing res­on­ance belt1, which will sur­round the port to be pro­tec­ted. Even if these pro­to­types are made of plexi­glass, the choice of mater­i­al is not yet decis­ive: the import­ant thing is that it is light and res­ist­ant. Inside is a small cav­ity that allows the waves of the swell to pass through it, becom­ing trapped inside. One there, they res­on­ate with­in it until they are exhausted.

Above: the res­on­ance belt with a cav­ity. The swell does not pass through the belt.
Below: the cav­ity of the belt has been closed. The float­ing belt is there­fore just a non-res­on­ant obstacle and the swell can pass through it. (Video cour­tesy of Léo-Paul Euvé)

The innov­a­tion is there­fore in the light­ness of the mech­an­ism, which floats. But also, in its ease of install­a­tion and move­ment. Hence, such con­cepts could be used on a large scale and poten­tially intro­duced as a way to pro­tect against more viol­ent sea waves such as tsunamis.

#3 Seismic waves:

Redirecting earthquakes into the ground

The concept of invis­ib­il­ity is also applic­able to seis­mic waves. The two main types of seis­mic waves are sur­face waves and volume waves. The first type, sur­face waves, can cause ser­i­ous dam­age to the Earth’s sur­face. The second type, volume waves, propag­ate under­ground, so their impact on the sur­face is lim­ited. Kim Pham’s team has dis­covered that, if a num­ber of con­di­tions are met, the trees in a forest can act on sur­face waves (known as Love waves) by trans­form­ing them into volume waves, and thus send­ing them deep into the ground, redu­cing poten­tial dam­age2. This concept uses the same prin­ciples as those of metama­ter­i­als. It is the mul­ti­tude of trees in the forest that allows the wave to be con­trolled and deflec­ted. It has come to be known as meta­forest­ing, where main innov­a­tion is the pro­gress­ive decrease in height of each tree in the path of the sur­face wave.

2D rep­res­ent­a­tion of a “meta­forest” redir­ect­ing a sur­face wave towards the ground, trans­form­ing it into a volume wave.

The more this wave passes through the forest, the more it will be redir­ec­ted towards the ground, to the point of plunging into the Earth’s depths, and thus becom­ing a volume wave. This type of dis­cov­ery allows us to ima­gine many use­ful applic­a­tions, in par­tic­u­lar the devel­op­ment of cit­ies of the future, built with the same prin­ciples as these meta­forests3 in the con­struc­tion of build­ings. For example, an anti-earth­quake city could be cre­ated, that resembles the now fam­ous pro­to­type of the invis­ib­il­ity cloak4 pro­posed by Sébas­tien Guen­neau (a CNRS Research­er at Insti­tut Fresnel).

#4 Light rays:

Making an object invisible

Since vis­ible light is made up of elec­tro­mag­net­ic waves, this concept could the­or­et­ic­ally make any object invis­ible to the naked eye. We per­ceive a vis­ible object because light reflects off it – it is the reas­on why we can­not see any­thing in the dark. If the light waves can be deflec­ted, and thus pre­ven­ted from reflect­ing off the object in ques­tion, then it will be invis­ible. Based on this prin­ciple, the research­er John Pen­dry suc­ceeded in devel­op­ing a pro­to­type invis­ib­il­ity cloak (this time for visu­al light waves)5, which earned him the Isaac New­ton Medal from the UK Insti­tute of Phys­ics in 2013.

Rep­res­ent­a­tion of an elec­tro­mag­net­ic cloak6 that deflects light rays, pre­vent­ing them from reflect­ing off the object (or sub­ject) posi­tioned in the middle.

How­ever, the spec­trum of light vis­ible waves is between 380 and 780 nano­metres (nm). Therein lies the tech­nic­al chal­lenges. First, in the micro­scop­ic scale of the cav­ity of the metama­ter­i­al used for this pur­pose, which must be sub-wavelength – that is, smal­ler than the tar­geted wave, (a few hun­dred nm). Second, in the diversity of col­ours, each hav­ing a spe­cif­ic wavelength ran­ging, for example, from 780–622 nm for red light and from 455–390 nm for viol­et. Real objects are rarely mono­chrome, so to make it invis­ible, a metama­ter­i­al with diverse cav­it­ies, spe­cif­ic to the wavelength of each of the tar­geted col­ours, must be designed.

Whilst these tech­no­lo­gic­al chal­lenges are hurdles that need to be over­come to the design this type of object, it in no way means that it is not feas­ible. On the con­trary, the phe­nomen­on has already been mod­elled by soft­ware, and some pro­to­types have already been pro­duced. As such, mak­ing objects invis­ible is far from being impossible. In fact, it could be just around the corner!

Interview by Pablo Andres
1Euvé, L.-P. ; Pies­niewska, N. ; Maurel, A. ; Pham, K. ; Petitjeans, P. ; Pag­neux, V. Con­trol of the
Swell by an Array of Helm­holtz Res­on­at­ors. Crys­tals 2021, 11, 520. DOI:
https://​doi​.org/​1​0​.​3​3​9​0​/​c​r​y​s​t​1​1​0​50520
2Maurel, A.; Marigo, J.-J.; Pham, K.; Guen­neau, S. Con­ver­sion of Love waves in a forest of trees. Phys. Rev. B 98, 134 311 — Pub­lished 26 Octo­ber 2018 DOI: 10.1103/PhysRevB.98.134311
3The META-FORET pro­ject : https://​meta​foret​.osug​.fr/
4Bor­is Gralak, Sébas­tien Guen­neau. Invis­ib­il­ité et trans­par­ence. Sigila. Revue trans­dis­cip­lin­aire franco-por­tu­gaise sur le secret, Gris-France, 2020. ffhal-03087320f https://​hal​.archives​-ouvertes​.fr/​h​a​l​-​0​3​0​87320
5Metama­ter­i­als and the Sci­ence of Invis­ib­il­ity: New­ton Lec­ture 2013 ; https://​www​.you​tube​.com/​w​a​t​c​h​?​v​=​2​Y​2​r​o​W​8Lv0g
6Tsak­makid­is, Kos­mas & Hess, Ortwin. (2008). Optics – Watch your back. Nature. 451. 27. 10.1038/451 027 a

Contributors

Kim Pham

Kim Pham

Associate Professor in Mechanics at ENSTA Paris (IP Paris)

Kim Pham is a graduate of the Ecole Normale Supérieure de Paris-Saclay (2004). He completed his PhD in Solid Mechanics at the University of Paris-Sorbonne (2010). From 2012 to 2021, he was a lecturer at ENSTA Paris (IMSIA/Unit of Mechanics). In 2021, he was accredited to direct research at Institut Polytechnique de Paris and became an associate professor at ENSTA Paris (IMSIA/Unit of Mechanics) in the same year. His main research area is the modelling of wave propagation in metamaterials and metasurfaces. He currently has 21 publications on this subject and received the Jean Mandel 2021 prize for his advances on the effective behaviour of resonant metasurfaces.

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