In this chapter we examine the quantum aspects of polarization primarily via the Dirac notation (Dirac, 1978) and also using density matrices. The approach follows the style of Feynman (Feynman et al., 1965). Classical polarization is examined in Chapter 15.

Linear polarization in the *x* direction represented in the Jones calculus by (Jones, 1947)

$\left(\begin{array}{c}{E}_{0x}\\ {E}_{0y}\end{array}\right)=\left(\begin{array}{c}1\\ 0\end{array}\right)$ |
(16.1) |

is expressed simply as |*x*〉 in the *bra–ket* representation. Linear polarization in the *y* direction described in the Jones calculus by

$\left(\begin{array}{c}{E}_{0x}\\ {E}_{0y}\end{array}\right)=\left(\begin{array}{c}0\\ 1\end{array}\right)$ |
(16.2) |

is expressed simply as |*y*〉 in the *bra–ket* representation.

Rotation of axes, *x* → *x*′ and *y* → *y*′, as illustrated in Figure 16.1, leads directly to the ...

Start Free Trial

No credit card required