A set of beam shifter which can effectively control the propagation of the beam is proposed. The permittivity and permeability of the beam shifter can be obtained by applying forminvariant, spatial coordinate transformations to Maxwell's equations. We show that the beam is smoothly guided to avoid hitting some irremovable objects, which could be useful in the practical application. Besides, inspired by some phenomenon from the above application, an interesting utilization has been found that by placing a set of beam shifters, electromagnetic detectors can be misled and make mistakes about where the target is located, which is very useful in the antidetection. All our ideas are verified by numerical simulations with finite element method.
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