Topological impact of a simple self-replication geometric structure with great application potential in vacuum pumping and photovoltaic industry
Topological effects exist from a macroscopic system such as the universe to a microscopic system described by quantum mechanics. We show here that an interesting geometric structure can be created by the self replication procedure of a square with an enclosed circle, in which the sum of the circles area will remain the same but the sum of the circumference will increase. It is demonstrated by means of Monte Carlo simulations that these topological features have great impacts to the vacuum pumping probability and the photon absorption probability of the active surface. The results show significant improvement of the system performance and have application potential in vacuum pumping of large research facilities such as a nuclear fusion reactor, synchrotron and in photovoltaic industry.