An external magnetic field B0 can cause the straight-line path of a laser beam to deflect inside a non-simple material where the constitutive relations are B = μH and  D = εE − iγB × E. To see this, let a linearly polarized, monochromatic plane wave with electric field strength E enter the material at normal incidence. Assume that B₀ lies in a plane perpendicular to the propagation vector k and makes an angle ϕ with D. 

(a) Use explicit numerical estimates to show that the typical value of B₀ produced by a laboratory electromagnet is much larger than the magnetic field associated with, e.g., a continuous-wave argon-ion laser beam.
(b) To lowest order in B₀, show that the time-averaged Poynting vector inside the material is

(c) What angle of ϕ produces maximum deflection?

Transcribed Image Text:

(S) 1k8² 2 μω k Imy - sin ç[cos @Bo – sin øk × Bol Bol}. €