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Constant-intensity waves and their modulation instability in non-Hermitian potentials

Overview of attention for article published in arXiv, March 2015
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About this Attention Score

  • In the top 5% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (98th percentile)
  • High Attention Score compared to outputs of the same age and source (98th percentile)

Mentioned by

news
17 news outlets
twitter
1 tweeter
facebook
2 Facebook pages

Readers on

mendeley
34 Mendeley
Title
Constant-intensity waves and their modulation instability in non-Hermitian potentials
Published in
arXiv, March 2015
DOI 10.1038/ncomms8257
Pubmed ID
Authors

Konstantinos G. Makris, Ziad H. Musslimani, Demetrios N. Christodoulides, Stefan Rotter

Abstract

In all of the diverse areas of science where waves play an important role, one of the most fundamental solutions of the corresponding wave equation is a stationary wave with constant intensity. The most familiar example is that of a plane wave propagating in free space. In the presence of any Hermitian potential, a wave's constant intensity is, however, immediately destroyed due to scattering. Here we show that this fundamental restriction is conveniently lifted when working with non-Hermitian potentials. In particular, we present a whole class of waves that have constant intensity in the presence of linear as well as of nonlinear inhomogeneous media with gain and loss. These solutions allow us to study the fundamental phenomenon of modulation instability in an inhomogeneous environment. Our results pose a new challenge for the experiments on non-Hermitian scattering that have recently been put forward.

Twitter Demographics

The data shown below were collected from the profile of 1 tweeter who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 34 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Germany 1 3%
Switzerland 1 3%
France 1 3%
United Kingdom 1 3%
United States 1 3%
Canada 1 3%
Unknown 28 82%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 11 32%
Researcher 7 21%
Professor > Associate Professor 7 21%
Student > Bachelor 3 9%
Professor 2 6%
Other 4 12%
Readers by discipline Count As %
Physics and Astronomy 20 59%
Engineering 5 15%
Unspecified 3 9%
Mathematics 3 9%
Chemistry 1 3%
Other 2 6%

Attention Score in Context

This research output has an Altmetric Attention Score of 125. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 21 August 2015.
All research outputs
#35,562
of 5,482,797 outputs
Outputs from arXiv
#455
of 354,528 outputs
Outputs of similar age
#2,048
of 158,687 outputs
Outputs of similar age from arXiv
#2
of 121 outputs
Altmetric has tracked 5,482,797 research outputs across all sources so far. Compared to these this one has done particularly well and is in the 99th percentile: it's in the top 5% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 354,528 research outputs from this source. They receive a mean Attention Score of 2.4. This one has done particularly well, scoring higher than 99% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 158,687 tracked outputs that were published within six weeks on either side of this one in any source. This one has done particularly well, scoring higher than 98% of its contemporaries.
We're also able to compare this research output to 121 others from the same source and published within six weeks on either side of this one. This one has done particularly well, scoring higher than 98% of its contemporaries.