  The Compact Linear Collider (CLIC) is a concept for a future $e^{+}e^{-}$
linear collider with a center-of-mass energy of up to 3 TeV. The design of a
CLIC experiment is driven by the requirements related to the physics goals, as
well as by the experimental conditions. For example, the short time between two
bunch crossings of 0.5 ns and the backgrounds due to beamstrahlung have direct
impact on the design of a CLIC experiment. The Silicon Detector (SiD) is one of
the concepts currently being discussed as a possible detector for the
International Linear Collider (ILC). In this thesis we develop a modified
version of the SiD simulation model for CLIC, taking into account the specific
experimental conditions. In addition, we developed a software tool to
investigate the impact of beam-related backgrounds on the detector by
overlaying events from different simulated event samples. Moreover, we present
full simulation studies, determining the performance of the calorimeter and
tracking systems. We show that the track reconstruction in the all-silicon
tracker of SiD is robust in the presence of the backgrounds at CLIC.
Furthermore, we investigate tungsten as a dense absorber material for the
hadronic calorimeter, which allows for the construction of a compact hadronic
calorimeter that fulfills the requirements on the energy resolution and shower
containment without a significant increase of the coil radius. Finally, the
measurement of the decays of light Higgs bosons into two muons is studied in
full simulation. We find that with an integrated luminosity of 2 ab$^{-1}$,
corresponding to 4 years of data taking at CLIC, the respective Higgs branching
ratio can be determined with a statistical uncertainty of approximately 15%.
