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# Unidirectional zero reflection as gauged parity-time symmetry

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### Abstract

We introduce here the concept of establishing Parity-time symmetry through a gauge transformation involving a shift of the mirror plane for the Parity operation. The corresponding unitary transformation on the system's constitutive matrix allows us to generate and explore a family of equivalent Parity-time symmetric systems. We further derive that unidirectional zero reflection can always be associated with a gauged PT-symmetry and demonstrate this experimentally using a microstrip transmission-line with magnetoelectric coupling. This study allows us to use bianisotropy as a simple route to realize and explore exceptional point behaviour of PT-symmetric or generally non-Hermitian systems.

### Most cited references20

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### Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry

(1997)
The condition of self-adjointness ensures that the eigenvalues of a Hamiltonian are real and bounded below. Replacing this condition by the weaker condition of $${\cal PT}$$ symmetry, one obtains new infinite classes of complex Hamiltonians whose spectra are also real and positive. These $${\cal PT}$$ symmetric theories may be viewed as analytic continuations of conventional theories from real to complex phase space. This paper describes the unusual classical and quantum properties of these theories.
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### Observation of parity–time symmetry in optics

(2010)
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### Observation ofPT-Symmetry Breaking in Complex Optical Potentials

(2009)
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### Author and article information

###### Journal
21 July 2017
1707.09413