07-15U
07-15U
Joint space-frequency distribution of optical signals
Joint space-frequency distribution is proposed and it is shown that Wigner and Weyl distribution functions are only particular cases of joint distribution. The frequency representation of joint distribution is firstly obtained and it is shown that in such way we can eliminate peculiarities which take place in coordinate representation. Joint distribution for rectangular impulse is analytically obtained. The simple connection between Wigner and Weyl distributions is established. It is shown that Wigner distribution forms as the rotational displacement of Weyl distribution on informational diagram of conjugate coordinates $(x;p)$ on an angle proportional to the joint parameter $t$. The results of numerical calculations of rect distribution in the joint domain are presented.