  By using surface brightness maps of Tycho's supernova remnant (SNR) in radio
and X-rays, along with the properties of thermal and synchrotron emission, we
have derived the post-shock density and magnetic field strength distributions
over the projection of this remnant. Our analysis reveals a density gradient
oriented towards the north-west, while the magnetic field strength gradient
aligns with the Galactic plane, pointing eastward. Additionally, utilizing this
magnetic field map, we have derived the spatial distributions of the cut-off
frequency and maximum energy of electrons in Tycho's SNR. We further comment on
the implications of these findings for interpreting the gamma-ray emission from
Tycho's SNR.
