Steady-State Response: The Atomic Susceptibility

Table of Contents:

  1. Phasor Analysis
  2. Electric Polarization and Susceptibility
  3. Atomic Susceptibility
  4. Resonant Susceptibility
  5. Lorentzian Lineshape
  6. Magnitude of the Steady-State Atomic Response

PHASOR ANALYSIS

ELECTRIC POLARIZATION AND SUSCEPTIBILITY

\begin{equation} D = \epsilon_0E + P \end{equation}

\begin{equation} P(\omega) = \chi(\omega)\epsilon_0E(\omega) \end{equation}

\begin{equation} \chi(\omega) = \frac{P(\omega)}{\epsilon_0E(\omega)} \end{equation}

\begin{equation} D = \epsilon_0[1+\chi]E = \epsilon{E} \end{equation}

\begin{equation} \epsilon(\omega) = \epsilon_0(1+\chi) \end{equation}

ATOMIC SUSCEPTIBILITY

RESONANT SUSCEPTIBILITY

\begin{equation} \chi_{at}(\omega) = \frac{P_x}{\epsilon{E_x}} = \frac{Ne^2}{m\epsilon}\frac{1}{\omega_a^2-\omega^2+j\omega\Delta\omega_a} \end{equation}

\begin{equation} \Delta\omega_a = \gamma + 2/T_2 \end{equation}

LORENTZIAN LINESHAPE

\begin{equation} \Delta{x} = 2\frac{\omega-\omega_a}{\Delta\omega_a} \end{equation}

left) Phase shift and gain versus frequency in a resonant atomic... |  Download Scientific Diagram

MAGNITUDE OF THE STEADY-STATE ATOMIC RESPONSE

%d bloggers like this: