The following table gives examples of Jones vectors. (i denotes the square root of 1.)
Polarisation  Corresponding Jones vector 
Linear polarized in the xdirection  [1] [0] 
Linear polarized in the ydirection  [0] [1] 
Linear polarized at 45 degrees from the xaxis  [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] 
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