Abstract
The Casimir free energy for 2d gratings separated by a vacuum slit is expressed in terms of Rayleigh coefficients, a novel general approach valid for arbitrary 2d surface profiles of gratings is outlined. The normal Casimir force in the system of two identical Si gratings with 2d sinusoidal surface profiles separated by a vacuum slit is computed for several amplitudes of surface profiles, distance dependence of the force is studied. A comparison with results for flat boundaries is performed.
Highlights
The Casimir effect is a quantum fluctuation effect in the presence of boundaries
The theory for two dispersive media which are periodic in one direction, translation invariant in the orthogonal direction and separated by a vacuum slit was developed in Refs. [2, 3], the Casimir free energy was expressed in terms of Rayleigh coefficients [4]
Casimir energies of two 2d sinusoidal Si gratings separated by a vacuum slit are evaluated by making use of the T = 0 limit of the formula (1), results are shown on Fig.3 where the Lifshitz energy [6] of two Si semispaces separated by a vacuum slit L is added for comparison
Summary
The Casimir effect is a quantum fluctuation effect in the presence of boundaries It was theoretically predicted by H.Casimir in 1948 [1] who considered two parallel perfectly conducting plates separated by a vacuum slit and derived the result for the attractive force between the plates. [2, 3], the Casimir free energy was expressed in terms of Rayleigh coefficients [4] Both normal and lateral Casimir forces can be measured in experiments with gratings. A comparison with flat case E.Lifshitz result for the force between two semispaces separated by a vacuum slit [6] is performed
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
