Metamaterial Cloaking
Soumay Gupta1 and Tanvi Sharma1
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1 E&C Department, Indian Institute of Technology Roorkee
Abstract
Metamaterials have been a subject of increasing interest due to their ability to manipulate the flow of EM waves. We analyse the mechanism by which metamaterials are able to exhibit this property which is exploited to develop the Harry Potter-esque invisibility cloaks. We briefly discuss the whole new branch of optics called “Transformation Optics” developed for this purpose, and comment on the extent to which these materials can cloak.
Introduction
Metamaterials are artificially designed materials which have properties that cannot be found in natural materials.[1] They were first theoretically proposed by Veselago in 1968 as materials having negative permeability and permittivity. This is why these are also known as Left Handed Materials (LHM) or Negative Refractive Index materials (NIM). The first discovery in this domain was done by Sir Pendry et al in 1996, who discovered a wire medium with negative permittivity. This was followed by other significant discoveries like negative permeability by Pendry in 1999 and LHM by Sir Smith in 2001.
Metamaterial structures can either be periodic (homogenous) or non-periodic (inhomogenous). Their properties depend on the construction and arrangement of their constituents. These con- stituents are usually smaller
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However, there are some limitations which are always associated with every type of design, for example in this case though the Q-factor can be decreased accordingly by lowing the value of dielectric constant but if lowered drastically, it fails to capture enough amount of electromagnetic energy and to act as an efficient resonator.
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By using a twister pair of wires the electromagnetic signals generated by the wires cancel each other out due to their opposite polarity.
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Light passed through a transmission grating is often sent in all directions due to interference. The grating acts as a new wave source and causes the light to travel in different paths. Equation 1 below shows the relationship between path difference and light direction due to constructive interference. D represents the line spacing and sinƟ=a/c according to the drawing below.
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Electromagnetic waves are continually used to upgrade and advance our technology, being implicated for its use in microwave ovens, radio waves for telecommunications and x-rays in medicine.
A later development of radar technology was the use of Microwave radio transmissions to identify enemy aircraft. A cavity magnetron produced the microwaves, and the British reduced these in size so that they could be carried in aircraft (Sheehan 42).
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We have now discussed the two extremes in electronic materials; a conductor, and an insulator we will now move to a material that lies in between these two, a semiconductor. The