Quantum Effects On Negative Refractive Index Of The Mesoscopic Left-Handed Transmission Line

The left-handed materials have special electromagnetic properties such as the negative refractive index,the Negative permittivity and the negative permeability,which can lead to a series of special electromagnetic phenomena such as reversed Doppler phenomenon,reversed Cherenkov effect and reversed Snell effect.Therefore the left-handed materials can be used to prepare perfect lenses,antennas,stealth devices and other novel electromagnetic devices.The negative refraction theory of the left-handed materials has become one of the important research fields.As a representative left-handed material,the left-handed transmission line has broad application prospects in the miniaturization of electromagnetic components.In this article,the influence of the quantum effect on the mesoscopic scale of the left-handed transmission line is considered,and the adjustability of lumped parameters and quantum parameters on refractive index is studied in detail.The main research work is as follows:(1)The quantization of the mesoscopic ideal left-handed transmission line unit circuit model is realized.The results show that the increase of the photon number will weaken the influence of the quantum fluctuation of the current on the negative refractive index of the left-handed transmission line;When the thermodynamic temperature is low,the increase of the number of photons will enhance the influence of the thermodynamic temperature on the refractive index;With the increasing frequency of operation,the influence of thermodynamic temperature on the refractive index of the left-handed transmission line will gradually weaken.(2)The negative refractive index properties of mesoscopic dissipative left-handed transmission line are studied under displaced squeezed state.The results show that the controllable characteristic curve of the squeezed direction to the refractive index is about? = 0.5? symmetry,and the increase of the number of photons will enhance the influence of the squeezed direction on the refractive index;the resistance value has a significant influence on the refractive index in a small range,and the appropriate reduction of the squeezed parameters can enhance the regulation of the refractive index by the resistance value.When the ratio of the propagation distance and the unit circuit is less than 0.25,the influence of the refractive index will be more obvious,but the increase of the squeezed parameters will weaken the influence of this ratio on the refractive index.(3)The quantization of the mesoscopic dissipative composite right/left-handed transmission line is realized.The results show that the effect of resistance value and conductivity value on the refractive index is similar in the same frequency band,but the influence of conductance on the refractive index is larger;When the series capacitance parameters are the same,the influence of the shunt capacitance on the refractive index is more obvious than that of the series inductance.The decrease of the current quantum fluctuations will enhance the regulation of the series inductance on the refractive index,but will not change the series inductance value corresponding to the switching point of the positive and negative refractive index.(4)The refractive index characteristics of mesoscopic dissipative composite right/lefthanded transmission lines are studied under thermal squeezed state.The results show that Proper reduction of the number of thermal photons will enhance the effect of resistance on the refractive index,but it will not change the resistance value corresponding to the positive and negative refractive index transformation points;In a certain frequency band,the larger the series inductance is,the more obvious the influence of frequency on the refractive index is,and the smaller the corresponding frequency of the positive and negative refractive index transformation point is;When the operating frequency is small,the appropriate reduction of the number of thermal photons can enhance the regulation of frequency on the refractive index.