Total reflection for perpendicular incidence

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Are there any materials, which give similar effects to total internal reflection, but for perpendicular incidence?

Here, by this phenomena I mean:

• 100% reflection for bulk medium,
• no absorption (including no absorption inside material),
• finite evanescence depth (even if very small).

I am asking, as some of my calculations gave this result. Yet, I am not sure whether this result is physical (i.e. can happen) or practical (i.e. there is a system exhibiting such phenomenon).

I does works that way for dielectric mirrors. I am curious if there are any "uniform" materials exhibiting such effect. By "uniform" I mean spatial period (or any kind of other structure) much, much smaller than (vacuum) wavelength.

(Obviously, it goes beyond refraction index, so please don't write it is not possible with a fixed n, because I know.)

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