| Composite Right/Left-Handed Transmission Line(CRLH-TL)is the second method after resonance structure to realize left-handed material.Compared with the resonant structure left-handed materials,CRLH-TL with wide frequency band,low loss,easy and easy to use in combination with microwave circuits and other significant advantages,and has a wide application prospect in the fields of optics,microwave circuits,antenna design and so on.However,in recent years,microelectronic technology is developing rapidly towards miniaturization,high integration,multi-function and high reliability.In this context,to establish a more perfect quantum theory for mesoscopic CRLH-TL and revealing the influence mechanism of quantum effect on left-handed effect,which has practical guiding significance for the miniaturization,millimeter-wave passive devices and design and application of miniaturization and integration of related quantum devices based on CRLH-TL.In view of the above,this paper studies the micro-regulation mechanism of quantum effect on mesoscopic CRLH-TL left-handed effect,as follows:1?Negative refraction index of the quantum lossy left-handed transmission lines affected by the displaced squeezed Fock state and dissipation is studied.In the displaced squeezed Fock state,the negative refraction index of the unit cell circuit for the LHTL is controlled by the squeezing parameters,squeezing directions,frequency,photon numbers and resistance.The results are as follows:(1)It is found that the squeezing parameters and photon number can suppress the negative refractive index of the unit cell circuit for the LHTL.(2)It is revealed influence that the negative refractive index of electromagnetic wave affected by squeezing directions on quantum lossy left-handed transmission lines.(3)It is revealed that the dissipation of the system is regulated by resistance,the negative refractive index of the left-handed transmission line increases rapidly in a small range of resistance values,and then increases slowly.(4)It is revealed that under the action of strong current field,the negative refractive index is larger in low frequency band and smaller in high frequency band.2 ? The thermal effect on the left-handedness of the mesoscopic composite right-Left handed transmission line is studied.In the thermal Fock state,the negativerefraction index of the unit cell circuit for the CRLH-TLs is controlled by the temperatures,frequency,photon numbers and quantum fluctuation of the current.The results are as follows:(1)The mechanism of the effect of temperature on the left-handed effect bandwidth of mesoscopic composite right-Left handed transmission line is analyzed,and the mechanism of temperature promoting the left-handed effect of the system is revealed.(2)Discussed the promote effect of field photon number on left-handed effect of mesoscopic CRLH-TLs in the different temperatures.(3)Finally,the inhibition relationship that the quantum fluctuation of the current in the mesoscopic composite right-Left handed transmission line to the operating temperature of the left-handed effect of the composite right-handed transmission line is revealed.3?Left-handedness with a wider frequency band of the quantized CRLH-TL in the balanced resonances condition is studied.In the balanced resonances condition and unbalanced resonances condition,the mechanism of the squeezing parameters and squeezing angles regulating the bandwidth of left-handed effect is discussed.The results are as follows:(1)Compared with the unbalanced resonances condition,the left-handed effect of the mesoscopic CRLH-TL under the balanced resonances condition has a wider bandwidth,which indicates that its experimental realization is more controllable.(2)However,the squeezing angles and squeezing parameters play a negative role in the negative refractive index of mesoscopic CRLH-TL. |
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