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Table 2.

Representative angles, transmission features, and phase characteristics for general incident angles and for the case of ρCH = 0.1.

Incident angle general Incident angle for ρCH = 0.1 Phase characteristics
TRANSM. ρB < ρI < 90° 72.5° < ρI < 90° Enhan. Incom. → Deplet.Reflect.

ρI = ρB ρI = 72.5° Full transmission

ρI < ρI < ρB 71.6° < ρI < 72.5° Enhan. Incom. → Enhan.Reflect.

NO TRANS. ρP < ρI < ρC 70.8° < ρI < 71.6° Enhan. Incom. → Enhan.Reflect.

0° < ρI < ρP 0° < ρI < 70.8° Enhan. Incom. → Deplet.Reflect.

Notes. For a CH density of ρCH = 0.1, the Brewster angle, θB, is equal to 72.5°, the phase inversion angle, θP, is equal to 70.8°, and the critical angle, θC, is equal to 71.6°. One can see that incident angles above the Critical angle lead to transmitted waves whereas incident angles below the Critical angle result in pure reflection. The Brewster angle θB represents a situation of perfect transmission, and the Phase inversion angle θP separates enhanced from depleted reflection. For linear waves this implies that an enhanced incoming wave with an incident angle between the Brewster angle and the Phase inversion angle gets reflected as an enhanced wave, whereas incoming waves that exhibit an incident angle outside of this range undergo a phase change and propagate as depleted reflections.

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