stars locations are uncertain
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of a star, according to the researchers.
A material with negative index of refraction transmits light or other wave energy differently thanone with positive index of refraction. In all natural materials, when an energy beam light, radar,microwave passes through water or glass or some other material, the beam is displaced inthe same direction. The amount of displacement depends upon how much the material slowsthe speed of the beam. In negative phase velocity media, the displacement is in the oppositedirection.
Lakhtakia and Tom. G. Mackay, lecturer in Mathematics, University of Edinburgh decided tolook at why the permittivity and permeability had to be less than zero. They found that one orboth permeability and permittivity could be less than zero and negative phase velocity wouldoccur. They then found that both could be greater than zero and a negative index of refractionwould occur but only when special relativity came into play.
The researchers looked at transmission through space, where high velocities are common.
"First I did the derivations with the observer moving and the energy source stationary," says
Lakhtakia. " Then Mackay did the derivations with the observer stationary and the light sourcemoving."
What they found was that it depends on the state of the observer whether any particular mediaat any time has negative or positive index of refraction. The relative velocity of the observerchanges the index of any material.
"Light coming off a stellar object passes through many different regions of space filled withdifferent media and is affected by different gravitational fields," says Lakhtakia. "When we finallysee it, we cannot really know where it originated."
While this may be of no consequence today, Lakhtakia believes it has important implications forwhen space travel is common. Because this is a direction dependent effect, it will change thetelemetry of objects and spacecraft.
"The business of space navigation and interpreting star maps could be a lot more complicatedthan we now think it is," says Lakhtakia. "Imagine mining of extrasolar asteroids. We might notwant to send humans to do the mining, but robots would have to know where the asteroid is andwhere on its surface to mine when it left our solar system."
Calculations would need to be made from Earth on an asteroid that might not be where wevisually see it. The effects of negative phase velocity media would need to be taken intoconsideration.
Another problem would be navigating from somewhere far away from the Earth in a space shipusing information gathered from the Earth. Depending on the velocity of the spacecraft and theobject aimed for, negative phase velocity media between the spacecraft and the destinationwould also need to be considered.
Source: Penn State
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