Transverse Angular Shift Of Optical Magnus Effect In Left-handed Materials

Left-handed materials (LHMS) is a kind of synthetic material that has negative permittivity and negative permeability, it have the extraordinary physical properties which are not found in nature. In recent years, the LHMS have been achieved from the microwave to the infrared and the optical band. Breaking through the traditional research area of beam propagation and applying the LHMS to it, which produced many new phenomena and new features. To research new optical devices and develop more perfect optical manipulation technology, which will have a revolutionary significance. In this paper, we establish a propagation model of beam at the interface between air and LHM. Based on this model, and combined the unique physical properties of the LHMS with the standard theory of conventional photology. We reveal a transverse angular shift that resulted in the optical Magnus effect in the LHM. The main research and results of this paper are listed below:First, starting from the plane angular spectrum theory, we establish a propagation model of beam at the interface between air and LHM. Based on this model, we give the electric field expression of incident light. To employ the Fourier transformations to realize angular spectrum analysis, meanwhile, to combine the approximate paraxial expression for the Snell’s law and the boundary distribution conditions, we get the electric field expression of the reflected beams and refraction beam. Substituting these expressions into the formula of the beam centroid, we can obtain the transverse angular shift, which we reveal a transverse angular shift in the optical Magnus effect.Second, the transverse angular shift is analyzed in the reflection field and refraction field, meanwhile, the factors which lead to the transverse angular shift are discussed. In the reflective field and refraction field, we find that for a certain linearly and elliptically polarized light beam, the field centroid of refraction beam exhibits a transverse angular shift. However, the transverse angular shift would vanish when the incident light beam is circularly polarized. Ultra-high refractive index can significantly reduce the transverse angular shift. On the contrary, the ultra-low refractive index can significantly enhance the transverse angular shift. We find that the surface material is not affect the transverse angular shift in the reflection field. But it is different from this phenomenon in the refraction field, for a positive and negative refractive index interface, the transverse angle shift presents a reversed phenomenon which is caused by negative diffraction in the left-handed materials. Third, exploring the transverse angle shift will further provide the basis of theory to amend the reflex law and Snell’s refractive law. These findings also provide a new method on how to adjust and enhance the optical Magnus effect. Generally speaking, the classical reflex law and Snell’s refractive law is used to describe the beam propagation in the two different medium, but these classical optical laws can’t accurately describe such phenomenon, because of the appearance of the transverse angle shift. On the base of study of the previous longitudinal shifts, this thesis studies the transverse angular shift in the optical Magnus effect. Especially, we introduce the LHMS into the beam propagation, and combine the peculiar abnormal characteristics of the LHMS with the optical Magnus effect, which make this thesis have some certain scientific value.