  We show that dielectric or even perfectly conducting cylinders can be cloaked
by a uniform or a layered dielectric cladding, without the need of any exotic
or magnetic material parameters. In particular, we start by presenting a simple
analytical concept that can accurately describe the cloaking effect obtained
with conical silver plates in the visible spectrum. The modeled structure has
been originally presented in [S. A. Tretyakov, P. Alitalo, O. Luukkonen, C. R.
Simovski, Phys. Rev. Lett., vol. 103, p. 103905, 2009], where its operation as
a cloak in the optical frequencies was studied only numerically. We model
rigorously this configuration as a multi-layer dielectric cover surrounding the
cloaked object, with excellent agreement to the simulation results of the
actual device. The concept of using uniform or multilayer dielectric covers,
with relative permittivities larger than unity, is then successfully extended
to cloaking of impenetrable objects such as conducting cylinders.
