## Encyclopedia > Jones Calculus

Article Content

# Jones Calculus

In optics one can describe polarisation using the Jones Calculus, invented by R. C. Jones[?] in 1941. Polarized light is represented by a Jones vector, and linear optical elements are represented by Jones matrices. When light crosses an optical element the resulting polarisation of the emerging light is simply the Jones matrix of the optical element multiplied by the Jones vector of the incident light.

The following table gives examples of Jones vectors. (i denotes the square root of -1.)

 Polarisation Corresponding Jones vector Linear polarized in the x-direction [1][0] Linear polarized in the y-direction [0][1] Linear polarized at 45 degrees from the x-axis [1][1] Left circular polarized [1][ i] Right circular polarized [1][-i]

The following table gives examples of Jones matrices.

 Optical element Corresponding Jones matrix Linear polarizer with axis of transmission horizontal [1 0][0 0] Linear polarizer with axis of transmission vertical [0 0][0 1] Linear polarizer with axis of transmission at 45 degrees [1 1][1 1] Linear polarizer with axis of transmission at -45 degrees [1 -1][-1 1] Left circular polarizer [1 -i][ i 1] Right circular polarizer [ 1 i ][-i 1]

All Wikipedia text is available under the terms of the GNU Free Documentation License

Search Encyclopedia
 Search over one million articles, find something about almost anything!

Featured Article
 Quioque, New York ... of 800. Geography Quioque is located at 40°49'17" North, 72°37'48" West (40.821435, -72.629898)1. According to the United States Census Bureau, the town has a ...