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Extensive Monte Carlo results are presented for a lattice model of abottle-brush polymer under good solvent or Theta solvent conditions. Varyingthe side chain length, backbone length, and the grafting density for a rigidstraight backbone, both radial density profiles of monomers and side chain endsare obtained, as well as structure factors describing the scattering from asingle side chain and from the total bottle-brush polymer. To describe thestructure in the interior of a very long bottle-brush, a periodic boundarycondition in the direction along the backbone is used, and to describe effectsdue to the finiteness of the backbone length, a second set of simulations withfree ends of the backbone is performed. In the latter case, the inhomogeneityof the structure in the direction along the backbone is carefully investigated.We use these results to test various phenomenological models that have beenproposed to interpret experimental scattering data for bottle-brushmacromolecules. These models aim to extract information on the radial densityprofile of a bottle-brush from the total scattering via suitable convolutionapproximations. Possibilities to improve such models, guided by our simulationresults, are discussed.

Structure of bottle-brush polymers in solution: A Monte Carlo test of models for the scattering function