Perfect transmission through disordered media
Physical Review Letters
American Physical Society
The transmission of a wave through a randomly chosen `pile of plates' typically decreases expo- nentially with the number of plates, a phenomenon closely related to Anderson localisation. In ap- parent contradiction we construct disordered planar permittivity pro les which are complex-valued (i.e. have reactive and dissipative properties) that appear to vary randomly with position, yet are one-way re ectionless for all angles of incidence and exhibit a transmission coe cient of unity. In addition to these complex-valued 'random' planar permittivity pro les, we construct a family of real-valued, two-way re ectionless and perfectly transmitting disordered permittivity pro les that function only for a single angle of incidence and a narrow frequency range.
C. G. K. acknowledges financial support from the EPSRC Centre for Doctoral Training in Electromagnetic Metamaterials Grant No. EP/L015331/1. S. A. R. H. acknowledges financial support from EPSRC program Grant No. EP/I034548/1, the Royal Society, and TATA. T. G. P. acknowledges financial support from EPSRC program Grant No. EP/I034548/1. The authors acknowledge useful discussions about localization in disordered media with J. Bertolotti.
This is the author accepted manuscript. The final version is available from American Physical Society via the DOI in this record.
Vol. 118, article 163201