Re-direction of dc magnetic flux in magnetically isotropic multilayered structures

• Periodic multilayer structures allowing re-direction of dc magnetic flux are studied.
• Effective permeability of the structure is found at arbitrary orientation of the layers.
• Analytical expression for the magnetic flux bending angle is obtained.
• Dependence of the bending angle on geometrical orientation of the layers is examined.
• Dependence of the bending angle on the layers’ magnetic permeability ratio is studied.

Analytical design of a periodic composite structure allowing re-direction (bending) of dc magnetic flux with respect to applied external field is presented using methods of transformation optics. The composite structure is made of micrometer scale alternating layers of two different homogeneous and magnetically isotropic materials. Dependence of the magnetic flux bending angle on geometrical orientation of the layers as well as on the magnetic permeability ratio is examined. Such structures can find use in various devices based on the control and manipulations of the magnetic flux.