title: ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð­ÐÐ -Ð¼Ð°Ð³Ð½Ð¸ÑÐ¾Ð¼ÐµÑÑÐ° Ð² ÑÑÐ»Ð¾Ð²Ð¸ÑÑ ÑÐ»ÑÐºÑÑÐ°ÑÐ¸Ð¹ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² ÑÐ¸ÑÑÐµÐ¼Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Modeling the operation of an EPR magnetometer under conditions of fluctuations in system parameters
Creators: name: ÐÐµÐ²ÐµÐ¶Ð¸Ð½Ð°, ÐÐ»ÐµÐºÑÐ°Ð½Ð´ÑÐ°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: Ð¼Ð°Ð³Ð½Ð¸ÑÐ¾Ð¼ÐµÑÑÑ
ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½ÑÐ¹
Ð¿Ð°ÑÐ°Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÐ¹ ÑÐµÐ·Ð¾Ð½Ð°Ð½Ñ
ÑÐ¿Ð¸Ð½Ð¾Ð²Ð°Ñ Ð¿Ð¾Ð»ÑÑÐ¸Ð·Ð°ÑÐ¸Ñ
Ð¿ÑÐµÑÐµÑÑÐ¸Ñ
Ð¼Ð°ÑÑÐ¸ÑÐ° Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸
ÑÑÐ¼
Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ
electronic magnetometers
paramagnetic resonance
spin polarization
precession
density matrix
noise
magnetic field

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description: The subject of the graduate qualification work is Â« Modeling the operation of
an EPR magnetometer under conditions of fluctuations in system parametersÂ»
This paper describes the creation of a model of a magnetometer based on electronic
parametric resonance and the calculation of its signal. The model was created using
the density matrix Ï, which described the state of the atom at each moment in time.
A number of programs were written in Python, with the help of which the necessary
data were obtained and graphs were constructed to evaluate the adequacy of the
model, as well as to observe the patterns of system behavior under certain conditions.
After the system passed the check for adequacy, as well as when receiving
information about it (resonant frequency), a white noise was added to the
longitudinal magnetic field of the system, consisting of 160 sinusoids with the same
amplitude and different phases, set using the random number selection function in
the required range values, which allowed us to assume that the noise is set randomly
and without any dependence. After that, a number of graphs were also built, which
made it possible to see that the system with the noise introduced into it works
adequately and analyze the changes in the behavior of the system with the 
introduction of noise. When analyzing these graphs, the following conclusions were
made:
â¢ even at low noise introduced into the system, the signal changes
significantly
â¢ the noise of the longitudinal field introduced into the system and the
noise of the signal received at the output are connected with each other
by a complex relationship
â¢ the squared value of the amplitude of the noise of the signal at the output
has a peak value at a frequency different from the resonance, which
makes it quite easy to filter out this noise
â¢ it was noted that the noise of the output signal after a frequency of
approximately 3.5 MHz is very small, which suggests that there is no
high-frequency noise in the signal