Mesoscopic left-handed transmission lines in thermal Fock state

摘要: The fluctuations of the current and voltage of the quantized unit cell equivalent circuit in loss-less mesoscopic left-handed transmission lines (LH TL)are deduced by thermal field dynamics (TFD) theory. And the fluctuations dependent of negative refractive index (NRI) of mesoscopic LH TL is discussed further in thermal Fock state. The results indicate that the quantum fluctuations show linear increasing dependent of NRI, while the frequency within the microwave frequency band and thermal photons show destructive dependent of NRI at some temperature. When the unit cell equivalent circuit operates at the rising temperature, the NRI is decreasing. The results demonstrates that the lower frequency and temperature, little thermal photons are more conducive to NRI of the mesoscopic LH TL, which is significant for the miniaturizing applications of LH TL.