# Can Some give me a basic Idea about Diffraction Grating Please explain It's Mathematical Formulae also. Thanks

## Diffraction Grating

### Thanks

ravi pratap
12 Points
14 years ago

A diffraction grating is an optical component with a regular pattern.

The form of the light diffracted by a grating depends on the structure of the elements and the number of elements present, but all gratings have intensity maxima at angles θm which are given by the grating equation

where θi is the angle at which the light is incident, d is the separation of grating elements and m is an integer which can be positive or negative.

The light diffracted by a grating is found by summing the light diffracted from each of the elements,

and is essentially a convolution of diffraction and interference patterns.

The figure shows the light diffracted by 2-element and 5-element gratings where the grating spacings are the same; it can be seen that the maxima are in the same position, but the detailed structures of the intensities are different.