  The protocol of measurement the probability density of a rotated quadrature
of microwave mode in an arbitrary quantum state is presented and numerically
investigated. The protocol is adapted to the measuring procedure used in the
CQED experiments. The method is based on measurement of integrated probability
of detection of atoms - probes in the top working state from atoms flying via
the cavity. Connection of random variables and is found, when is a qudrature
phase. Connection of the tomogram and the tomogram is found. The protocol
prescribes the rule of choice of problem parameters, such as interaction time,
and the number of atoms in series . The method contains a single fitting
parameter that is selected in the process of numerical simulation of the
quadrature distribution in a coherent state. Quality selection is determined by
the Kolmogorov test. The result of the calculation protocol is a convolution
with the instrumental function of the method. The parameters of the
instrumental function are shown. Numerical simulations performed for typical
numerical values of parameters of the experimental setup, shows the
effectiveness of the proposed method.
