Corrugated Surfaces
Normal force
A common method
for dealing with non-flat geometries is the Proximity Force
Approximation, which in effect assumes an effective Casimir interactions
between locally parallel pairs on points on the two surfaces, and sums over
all such pairs.
"Probing the Strong Boundary Shape Dependence of the Casimir Force,"
Emig, Hanke, Golestanian, & Kardar, Phys. Rev. Lett. 87, 260402 (2001)
"Nonperturbative approach to Casimir interactions in periodic geometries,"
"Demonstration
of the Nontrivial Boundary Dependence of the Casimir Force,"
A. Roy and U. Mohideen, Phys. Rev. Lett. 82, 4380 (1999)
"Measurement
of the Casimir Force between a Gold Sphere and a Silicon Surface with Nanoscale
Trench Arrays,"
H.B. Chan, Y. Bao, et. al , Phys. Rev. Lett. 101, 030401 (2008)
Lateral force
A sideways
force to "align" the two plates at b=λ/2
"Demonstration
of the Lateral Casimir Force,"
F. Chen, U. Mohideen, et. al , Phys. Rev. Lett. 88, 101801 (2002)
Manipulating
the critical Casimir force with chemically patterned surfaces:
F. Soyka, O. Zvyagolskaya, C. Hertlein, L. Helden, & C. Bechinger, Phys. Rev. Lett., in press (2008) (movie)
