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Optical properties of photonic crystals - New Jersey Institute of ...

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29<br />

As seen from the above figure, when a ray <strong>of</strong> light is incident on a slab <strong>of</strong><br />

material, part <strong>of</strong> it is reflected back, a part <strong>of</strong> it is absorbed and the rest is transmitted<br />

through the material. In general such an event is governed by the equation<br />

Here 'R' is the reflectance, 'T' is the transmittance and 'A' is the absorptance <strong>of</strong><br />

the material under consideration.<br />

3.1 Reflectance, Absorptance and Transmittance <strong>of</strong> Radiation<br />

These are the three main <strong>properties</strong> that are <strong>of</strong> concern in the domain <strong>of</strong> optics. They can<br />

be described in a number <strong>of</strong> ways.<br />

3.1.1 Reflectance<br />

It is an abrupt change in the direction <strong>of</strong> propagation <strong>of</strong> a wave that strikes the boundary<br />

between different media. At least part <strong>of</strong> the oncoming wave disturbance remains in the<br />

same medium. Regular reflection, which follows a simple law, occurs at plane<br />

boundaries. The angle between the direction <strong>of</strong> motion <strong>of</strong> the oncoming wave and a<br />

perpendicular to the reflecting surface (angle <strong>of</strong> incidence) is equal to the angle between<br />

the direction <strong>of</strong> motion <strong>of</strong> the reflected wave and a perpendicular (angle <strong>of</strong> reflection).<br />

Reflection at rough, or irregular, boundary will cause the ray to diffuse. The reflectivity<br />

<strong>of</strong> a surface material is the fraction <strong>of</strong> energy <strong>of</strong> the incoming wave that is reflected by it.<br />

3.1.2 Absorptance<br />

In wave motion, transfer <strong>of</strong> energy from wave to matter occurs as the wave passes<br />

through it. The energy <strong>of</strong> an acoustic, electromagnetic, or other wave is proportional to

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