Fresnel Reflection and Transmission Coefficients for Temporally Dispersive Attenuative Media

Generalized Fresnel reflection and transmission coefficients are derived for both time‐harmonic TE( s )‐ and TM( p )‐polarized plane wave fields incident upon a planar interface separating two attenuative linear media, each described by a frequency‐dependent complex‐valued dielectric permittivity ε j ( ω ) = ε j ′ ( ω ) + i ε j ′′ ( ω ) , magnetic permeability μ j ( ω ) = μ j ′ ( ω ) + i μ j ′′ ( ω ) , and electric conductivity σ j ( ω ) = σ j ′ ( ω ) + i σ j ′′ ( ω ) , j = 1 , 2 while maintaining the real‐valued form of Snell's law. The resultant effects of material loss on both the reflected and transmitted fields are presented, including the condition for the appearance of a polarizing angle.