Andrey Akinshin edited Prony 2D.tex  almost 9 years ago

Commit id: f5fe9d78d31e6a1db323c6de73db43eebe790a66

deletions | additions      

       

\section{Prony \section{Trigonometric real Prony,  2D} $$  m_k = a_1 e^{-2\pi i \mu_1 k \delta} + a_2 e^{-2\pi i \mu_2 k \delta}.  $$  On the following figure, you can see equipotential surfaces of the field  $$  F(a_1, a_2, d\mu) = \sqrt{\Delta m_0^2 + \Delta m_1^2 + \Delta m_2^2 + \Delta m_3^2}, \quad \Delta m_k = m_{A,k} - m_{B,k}  $$  where  $$  \begin{array}{l}  S_A \in (a = \{1, 1\}, \mu = \{-0.04, 0.04\}) \; \ldots \; (a = \{1, 1\}, \mu = \{-2.5, 2.5\}) \\  S_B(a_1, a_2, d\mu) = (a = \{a_1, a_2\}, \mu = \{ -d\mu/2, d\mu/2 \})  \end{array}  $$