# Lateral Casimir force between sinusoidally corrugated surfaces: Asymmetric profiles, deviations from the proximity force approximation and comparison with exact theory 

H.-C. Chiu, 1 G. L. Klimchitskaya, 2, ∗ V. N. Marachevsky, 3, † 

$^{1}$Department of Physics and Astronomy, University of California, Riverside, California 92521, USA 

V. M. Mostepanenko, 4, ‡ and U. Mohideen 1, § 

$^{2}$North-West Technical University, Millionnaya St. 5, St.Petersburg, 191065, Russia 

$^{3}$V.A. Fock Institute of Physics, Saint-Petersburg State University, St.Petersburg, 198504, Russia 

$^{4}$Noncommercial Partnership “Scientific Instruments”, Tverskaya St. 11, Moscow, 103905, Russia 

