Product

Optical Devices

Description

04.Dispersion

The way in which the diffraction angle ß behaves when light composed of different wavelengths is directed at a grating is an important point when considering the separation of light into its components. If the incident angle α is regarded as a constant, differentiating both sides of equation (2) with respect to λ gives the following:

(3)

Here, dß/dλ is called the "angular dispersion" and can be used to obtain the change in diffraction angle dß corresponding to a change in wavelength dλ. Multiplying both sides of equation (3) by the focal distance ƒ for the optical systems gives the following:

(4)

When ƒ·dß = dx, inverting both sides of equation (4) gives the following:

(5)

Here, D is called the "reciprocal linear dispersion" and represents the difference in wavelength per unit length on the surface of the exit slit in the optical system. Multiplying D by the slit width gives an indication of the wavelength resolution.