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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 30, Iss. 10 — Oct. 1, 2013
  • pp: 1975–1979

Complex reflection coefficients of p- and s-polarized light at the pseudo-Brewster angle of a dielectric–conductor interface

R. M. A. Azzam  »View Author Affiliations

JOSA A, Vol. 30, Issue 10, pp. 1975-1979 (2013)

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The complex Fresnel reflection coefficients rp and rs of p- and s-polarized light and their ratio ρ=rp/rs at the pseudo-Brewster angle (PBA) ϕpB of a dielectric–conductor interface are evaluated for all possible values of the complex relative dielectric function ε=|ε|exp(jθ)=εrjεi, εi>0 that share the same ϕpB. Complex-plane trajectories of rp, rs, and ρ at the PBA are presented at discrete values of ϕpB from 5° to 85° in equal steps of 5° as θ is increased from 0° to 180°. It is shown that for ϕpB>70° (high-reflectance metals in the IR) rp at the PBA is essentially pure negative imaginary and the reflection phase shift δp=arg(rp)90°. In the domain of fractional optical constants (vacuum UV or light incidence from a high-refractive-index immersion medium) 0<ϕpB<45° and rp is pure real negative (δp=π) when θ=tan1(cos(2ϕpB)), and the corresponding locus of ε in the complex plane is obtained. In the limit of εi=0, εr<0 (interface between a dielectric and plasmonic medium) the total reflection phase shifts δp, δs, Δ=δpδs=arg(ρ) are also determined as functions of ϕpB.

© 2013 Optical Society of America

OCIS Codes
(120.5700) Instrumentation, measurement, and metrology : Reflection
(240.0240) Optics at surfaces : Optics at surfaces
(260.0260) Physical optics : Physical optics
(260.3910) Physical optics : Metal optics
(260.5430) Physical optics : Polarization
(240.2130) Optics at surfaces : Ellipsometry and polarimetry

ToC Category:
Physical Optics

Original Manuscript: July 23, 2013
Revised Manuscript: August 15, 2013
Manuscript Accepted: August 16, 2013
Published: September 10, 2013

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October 11, 2013 Spotlight on Optics

R. M. A. Azzam, "Complex reflection coefficients of p- and s-polarized light at the pseudo-Brewster angle of a dielectric–conductor interface," J. Opt. Soc. Am. A 30, 1975-1979 (2013)

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