abstract

• We show that the propagation of transverse electric (TE) polarized waves in one-dimensional inhomogeneous settings can be written in the form of the Dirac equation in one space dimension with a Lorentz scalar potential, and consequently perform photonic simulations of the Dirac equation in optical structures. In particular, we propose how the zero energy state of the Jackiw–Rebbi model can be generated in an optical set-up by controlling the refractive index landscape, where TE-polarized waves mimic the Dirac particles and the soliton field can be tuned by adjusting the refractive index. © 2017 WILEY-VCH Verlag GmbH %26 Co. KGaA, Weinheim
• We show that the propagation of transverse electric (TE) polarized waves in one-dimensional inhomogeneous settings can be written in the form of the Dirac equation in one space dimension with a Lorentz scalar potential, and consequently perform photonic simulations of the Dirac equation in optical structures. In particular, we propose how the zero energy state of the Jackiw–Rebbi model can be generated in an optical set-up by controlling the refractive index landscape, where TE-polarized waves mimic the Dirac particles and the soliton field can be tuned by adjusting the refractive index. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

authors

• González Contreras Gabriel

publication date

• 2018-01-01

published in

• Physica Status Solidi - Rapid Research Letters  Journal

keywords

• Dirac equation; Jackiw-Rebbi model; TE-polarized waves Light propagation; Linear equations; Wave propagation; Dirac equations; Optical structures; Optical wave propagation; Polarized wave; Scalar potential; Space dimensions; Transverse electrics; Zero energy state; Refractive index

Digital Object Identifier (DOI)

• 10.1002/pssr.201700357

start page

end page

volume

• 12

issue

• 2