  Possibility to model the high energy synchrotron emission (in X- and
gamma-rays) from supernova remnants is an important task for modern astronomy
and astrophysics, because it may be responsible for the nonthermal X-rays and
TeV gamma-rays observed recently from a number of SNRs. This emission allows as
to look in the processes of particle acceleration on SNR shocks and generation
of cosmic rays. In this paper, a model for the synchrotron emission from shell
SNR in nonuniform interstellar medium and nonuniform magnetic field is
presented. This model is a generalization of the model of Reynolds and
Chevalier developed for a spherical SNR in the uniform medium and uniform
magnetic field. The model will be used for studies on the thermal and
nonthermal X-ray images and spectra from nonspherical SNRs in different
interstellar magnetic field configurations.
