For a given pseudo-Brewster angle ${\varphi }_{pB}$ of minimum reflectance $\left|r_p\right|$ of p-polarized light at a dielectric-conductor interface, the second-Brewster angle ${\varphi }_{2B}$ of minimum reflectance ratio $\left|\rho \right|=\left|r_p\right|∕\left|r_s\right|$ of the p and s polarizations is determined for all possible values of the complex relative dielectric function ϵ that lead to the same ${\varphi }_{pB}$ . The difference ${\varphi }_{2B}-{\varphi }_{pB}$ is considered as a function of ${\varphi }_{pB}$ and $\theta =\arg \left(ϵ\right)$ . For any given ${\varphi }_{pB}$ , the difference ${\varphi }_{2B}-{\varphi }_{pB}=0$ at $\theta =0({ϵ}_r>0,{ϵ}_i=0)$ increases monotonically as a function of θ and reaches maximum value ${\{{\varphi }_{2B}-{\varphi }_{pB}\}}_{\max }$ in the limit as $\theta \to 180°$ $({ϵ}_r<0,{ϵ}_i=0)$ . This maximum difference ${\{{\varphi }_{2B}-{\varphi }_{pB}\}}_{\max }$ has an upper limit of 15.701° when ${\varphi }_{pB}=28.195°$ .

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