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handbook of modern sensors

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4.4 Mirrors 135<br />

Fig. 4.10. Spectral reflectances <strong>of</strong> some mirror coatings.<br />

surface where the substrate is fabricated <strong>of</strong> ZnSe or other long-wavelength transparent<br />

materials. Materials such as Si or Ge have too strong a surface reflectivity to be useful<br />

for the fabrication <strong>of</strong> the second surface mirrors.<br />

Reflecting coatings applied to a surface for operation in the visible and nearinfrared<br />

ranges can be silver, aluminum, chromium, and rhodium. Gold is preferable<br />

for the far-infrared spectral range devices. By selecting an appropriate coating, the<br />

reflectance may be achieved <strong>of</strong> any desired value from 0 to 1 (Fig. 4.10).<br />

The best mirrors for broadband use have pure metallic layers, vacuum-deposited<br />

or electrolytically deposited on glass, fused silica, or metal substrates. Before the<br />

reflective layer deposition, to achieve a leveling effect a mirror may be given an<br />

undercoat <strong>of</strong> copper, zirconium–copper, or molybdenum.<br />

Another useful reflector which may serve as a second surface mirror without the<br />

need for reflective coatings is a prism, where the effect <strong>of</strong> total internal reflection (TIR)<br />

is used. The angle <strong>of</strong> a total internal reflection is a function <strong>of</strong> the refractive index:<br />

( 1<br />

0 = arcsin . (4.23)<br />

n)<br />

The total internal reflectors are the most efficient in the visible and near-infrared<br />

spectral ranges, as the reflectivity coefficient is close to unity. The TIR principle is<br />

fundamental for the operation <strong>of</strong> the optical fibers.<br />

A reflective surface may be formed practically in any shape to divert the direction<br />

<strong>of</strong> light travel. In the optical systems, curved mirrors produce effects equivalent to<br />

that <strong>of</strong> lenses. The advantages they <strong>of</strong>fer include (1) higher transmission, especially<br />

in the longer-wavelength spectral range, where lenses become less efficient due to

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