Study On Propagation Properties Of Hermite-sine Class-gaussian Beam In Negative Index Material

Negative index material (NIM) is a kind of artificially made compositesthat has negative permeability and negative permittivity simultaneously. NIM hasspecial superior physical properties, such as negative refraction effect and reverseDoppler, and so on. In recent years, it has emerged in the field of physics, electronics,and materials. So the research of Negative index material has certain practical value.Because of NIM have special optical properties, so study on the propagation propertiesof beams by negative index material is very meaningful.This paper mainly study on propagation properties of beams by negative indexmaterial, the main work is as follows:Firstly, there expounded on the research background of laser propagation, theresearch status of negative index material and beams propagation in the NIM, and itsresearch significance. The negative index material’s related optical properties andbeams were introduced in detail. This paper was introduction relevant formulas.Secondly, the propagation properties of Hermite-Cosine-Gaussian Beam through anegative refractive index materials slab are studied. Base on the generalizedHuygens-Fresnel diffraction integral method got the propagation expressions that theHermite-cosine-Gaussian beam through a negative refractive index materials slab, andcalculation and analysis it. The results showed that, when Hermite-Cosine-GaussianBeam through a negative refractive index materials slab, it’s negative refractive indexonly change the position of axis maximum light intensity. Because of the position ofaxis maximum light intensity is the position of the beam focusing, so the negativerefractive index affects that the position of the beam two focusing. Inside the slab, withthe increase of negative refractive index, the position of axis maximum light intensitywas increase. After the slab, with the increase of negative refractive index, it’s the position of axis maximum light intensity was decrease; the beam parameters not onlychange its axis intensity distribution, also change the transversal intensity distribution.But it does not affect the Hermite-Cosine-Gaussian Beam’s position of axis maximumlight intensity and transversal maximum light intensity. The distance of shafttransmission change does not affect the transversal intensity distribution.Thirdly, the propagation properties of Sinh-Squared-Gaussian Beam through anegative refractive index materials slab are studied. Base on the generalizedHuygens-Fresnel diffraction integral method got the propagation expressions that theSinh-Squared-Gaussian beam through a negative refractive index materials slab, andcalculation and analysis it. The results showed that, when Sinh-Squared-Gaussian Beamthrough a negative refractive index materials slab. In slab and through the slab, negativerefractive index will change the position of axis maximum light intensity. so the negativerefractive index can affect that the position of the beam two focusing. Inside the slab:Inside the slab, with the increase of negative refractive index, the axis maximum lightintensity is constant, the position of axis maximum light intensity was increase. Afterthe slab, with the increase of negative refractive index, the axis maximum light intensityis constant, but the position of axis maximum light intensity was decrease. The beamparameters will change its axis intensity distribution and transversal intensitydistribution. But it does not affect the Sinh-Squared-Gaussian Beam’s position of axismaximum light intensity and transversal maximum light intensity. So the beamparameter does not affect the position of the beam two focusing. The distance of shafttransmission change does not affect the transversal intensity distribution.Finally, it summarized the full main conclusion, and show the direction of furtherresearch.