# Efficient evaluation of Casimir force in z-invariant geometries by integral equation methods

## Related Articles

- A Case for an Empirically Demonstrable Notion of the Vacuum in Quantum Electrodynamics Independent of Dynamical Fluctuations. Valente, Mario // Journal for General Philosophy of Science;2011, Vol. 42 Issue 2, p241
A re-evaluation of the notion of vacuum in quantum electrodynamics is presented, focusing on the vacuum of the quantized electromagnetic field. In contrast to the 'nothingness' associated to the idea of classical vacuum, subtle aspects are found in relation to the vacuum of the quantized...

- Casimir force changes sign. Buks, Eyal; Ruokes, Michael L. // Nature;9/12/2002, Vol. 419 Issue 6903, p119
Discusses calculations that indicate that systems could be engineered in which Casimir forces are repulsive. Quantum fluctuations of an electromagnetic field giving rise to an attractive force between objects; Quantum fluctuations inducing a force with the opposite sign; Spectrum of possible...

- Continuous Variable Noise-Free States in Correlated Quantum Noisy Channels. Hiroshima, Tohya; Hirota, Osamu // AIP Conference Proceedings;2004, Vol. 734 Issue 1, p32
We explicitly compute the evolution of the density operator of a two-mode electromagnetic field when the influence of the thermal fluctuation of the vacuum is common for both modes. From this result, we give an example in which the bundle of quantum noisy channels turns out to be noiseless for...

- The Casimir theorem and the inversion problem in electrodynamics at first quantized level. Bosco, B.; Ricci, P.; Sacchi, M. T. // Journal of Mathematical Physics;Dec92, Vol. 33 Issue 12, p4116
The inversion problem in electrodynamics is analyzed for a nonlocalized source. The model used is the generalized SchrÃ¶dinger current from continuum to continuum states. The general expressions of the electric and magnetic multipoles in terms of the infinite transitions from which they are...

- An Integral Equation Formulation for TM Scattering by a Conducting Cylinder Coated with an Inhomogeneous Dielectric/Magnetic Material. Sakr, Ahmed A.; Soliman, Ezzeldin A.; Abdelmageed, Alaa K. // Progress in Electromagnetics Research B;2014, Vol. 60, p49
A volume-surface integral equation (VSIE) formulation is developed for determining the electromagnetic TM scattering by a two-dimensional conducting cylinder coated with an inhomogeneous dielectric/magnetic material. The electric field integral equations (EFIEs) are utilized to derive the VSIE....

- Casimir energy of a ball and cylinder in the zeta function technique. Lambiase, G.; Nesterenko, V. V. // Journal of Mathematical Physics;Dec99, Vol. 40 Issue 12, p6254
Proposes a method for the construction of the spectral zeta functions required for calculating the electromagnetic vacuum energy with boundary conditions given on a sphere or on an infinite cylinder. Calculation of the Casimir energy; Representation of the zeta functions in terms of contour...

- Magnetic fields and factored two-spheres. Dowker, J. S. // Journal of Mathematical Physics;Apr2001, Vol. 42 Issue 4
A magnetic monopole is placed at the center of a ball whose surface S[sup 2] is tiled by the symmetry group, Î“, of a regular solid. The quantum mechanics on the two-dimensional quotient S[sup 2]/Î“ is developed and the monopole charge is found to be quantized in an expected manner. The...

- Pull-in control due to Casimir forces using external magnetic fields. Esquivel-Sirvent, R.; Palomino-Ovando, M. A.; Cocoletzi, G. H. // Applied Physics Letters;8/3/2009, Vol. 95 Issue 5, p051909
We present a theoretical calculation of the pull-in control in capacitive microswitches actuated by Casimir forces using external magnetic fields. The external magnetic fields induce an optical anisotropy due to the excitation of magnetoplasmons that reduces the Casimir force. The calculations...

- A METHOD FOR TRACKING CHARACTERISTIC NUMBERS AND VECTORS. Capek, M.; Hazdra, P.; Hamouz, P.; Eichler, J. // Progress in Electromagnetics Research B;Nov2011, Vol. 33, p115
A new method for tracking characteristic numbers and vectors appearing in the Characteristic Mode Theory is presented in this paper. The challenge here is that the spectral decomposition of the moment impedance-matrix doesn't always produce well ordered eigenmodes. This issue is addressed...