Search this website:

This web page location:

home page  >   Optics


emergent ray, incident ray, angle of deviation, angle of refraction, transparent object

Deeper web pages:

>  Geometrical Optics

>  Physical Optics

This important law, named after Dutch mathematician Willebrord Snell, states that the product of the refractive index and the sine of the angle of incidence of a ray in one medium is equal to the product of the refractive index and the sine of the angle of refraction in a successive medium. Also, the incident ray, the refracted ray, and the normal to the boundary at the point of incidence all lie in the same plane. Generally, the refractive index of a denser transparent substance is higher than that of a less dense material; that is, the velocity of light is lower in the denser substance. If a ray is incident obliquely, then a ray entering a medium with a higher refractive index is bent toward the normal, and a ray entering a medium of lower refractive index is deviated away from the normal. Rays incident along the normal are reflected and refracted along the normal. In making calculations, the optical path, which is defined as the product of the distance a ray travels in a given medium and the refractive index of that medium, is the important consideration. To an observer in a less dense medium such as air, an object in a denser medium appears to lie closer to the boundary than is the actual case. A common example, that of an object lying underwater observed from above water, is shown in Fig. 3. Oblique rays are chosen only for ease of illustration. The ray DB from the object at D is bent away from the normal to A. The object, therefore, appears to lie at C, where the line ABC intersects a line normal to the surface of the water and passing through D.

The path of light passing through several media with parallel boundaries is shown in Fig. 4. The refractive index of water is lower than that of glass. Because the refractive index of the first and last medium is the same, the ray emerges parallel to the incident ray AB, but it is displaced.

Until 2001, all known substances had a positive refractive index. In that year physicist Sheldon Schultz and his colleagues at the University of California at San Diego created a composite from fiberglass and copper wire that refracts microwaves in the direction opposite that in which all other materials refract light. This unusual refraction indicates that the material has a negative refractive index. Since microwaves, like visible light, are a type of electromagnetic radiation, scientists predict that it will eventually be possible to produce a material that refracts visible light in the same way.

Nature of Light

If light passes through a prism, a transparent object with flat, polished surfaces at angles to one another, the exit ray is no longer parallel to the incident ray. Because the refractive index of a substance varies for the different wavelengths, a prism can spread out the various wavelengths of light contained in an incident beam and form a spectrum. In Fig. 5, the angle CBD between the path of the incident ray and the path of the emergent ray is the angle of deviation. If the angle the incident ray makes with the normal is equal to the angle made by the emergent ray, the deviation is at a minimum. The refractive index of the prism can be calculated by measuring the angle of minimum deviation and the angle between the faces of the prism.

Article key phrases:

emergent ray, incident ray, angle of deviation, angle of refraction, transparent object, angle of incidence, refractive index of water, velocity of light, refractive index, visible light, sine, copper wire, prism, microwaves, University of California, observer, Nature of Light, angles, spectrum, San Diego, fiberglass, boundary, substance, colleagues, plane, composite, substances, path, scientists, distance, surface, object, medium, glass, water, air, states, materials, way, media, product

Search this website: