  The spectral slope of the magnetic energy in supernova remnants (SNRs) can be
obtained by analysis of spatial two-point correlation functions of synchrotron
intensities. This method has been originally developed for the analysis of
magnetic field structure in diffuse interstellar medium and applied when the
geometry of the emission region is simple and known. In this paper, applying
this correlation analysis to Tycho's SNR, for which the synchrotron emission
region is known to be a spherical shell, we find that the magnetic energy
spectrum shows the Kolmogorov-like scaling. Our results can be explained by
turbulence developed downstream of the shock front via Richtmyer-Meshkov
instability or an amplification of upstream magnetic field induced by cosmic
rays. They could be discriminated by future observations with a sub arcsecond
resolution such as Square Kilometer Array.
