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.
journal_name
Nat Communjournal_title
Nature communicationsauthors
Makris KG,Musslimani ZH,Christodoulides DN,Rotter Sdoi
10.1038/ncomms8257subject
Has Abstractpub_date
2015-07-08 00:00:00pages
7257issn
2041-1723pii
ncomms8257journal_volume
6pub_type
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