Negative refraction index of the mesoscopic left-handed transmission line in the thermal Fock state

Abstract

Negative refractive index (NRI) of the quantized lossless mesoscopic left-handed transmission line (LHTL) is deduced numerically in thermal Fock state. Some specific quantum features of NRI dependent the temperature, frequency of the electromagnetic wave and photon numbers, and quantum fluctuations are shown in the lossless LHTL. The results are significant for the miniaturizing applications of LHTL and quantum circuits. Keywords Negative refractive index · Mesoscopic Left-handed transmission lines · Thermal Fock state 1 Introduction The theoretical speculation of negative refractive index materials (NRM) proposed by V. Veselago[1] in 1968, in which several fundamental phenomena occurring in or in association with NRM were predicted, such as the negative Goos-Hänchen shift[2], amplification of evanescent waves[3], reversals of both Doppler shift and Cerenkov radiation[1], sub-wavelength focusing[4] and so on. Some typical approaches for NRM can be summarized as artificial structures such as metamaterials[5-7] and photonic crystals[8-10], chiral materials[11] and photonic resonant media[12, 13]. Although very exciting from a physics point of view, the artificial structures seem to be of little practical interest for engineering applications because

Monochromatic Composite Right/Left Handedness in the Quantized Composite Right/Left Handed Transmission Line

“…Addressing these clearly requires a quantum description of the CRLH‐TL, as is the main motivation of the present work. Thus, considering the pure left‐handed‐TL with low frequency approximation is not a physical entity, the quantized CRLH‐TL is proposed due to more practical physical significance.…”

“…In this context, a natural question is * Corresponding author: zhaosc@kmust.edu.cn what's the role of quantum mechanical properties in the mesoscopic CRLH-TL when its compact size approaches the Fermi wavelength [25,26]. Thus, the understanding of how the quantum mechanical behaviors alter the positive/negative refraction index [27,28] in the quantized CRLH-TL [29,30] is of crucial importance. Addressing these clearly requires a quantum description of the CRLH-TL, as is the main motivation of the present work.…”

The thermal effect on the left-handedness of the mesoscopic composite right-Left handed transmission line

“…In our former work, we firstly deduced the quantum features of negative refraction index (NRI) of the lossless mesoscopic left-handed transmission line (LH-TL) [26]. And then the quantized lossy LH-TL [27] entered our the next work, we discussed the characteristics of NRI of the lossy LH-TL [27] in a displaced squeezed Fock state.…”

“…However, when the compact size of the CRLH-TL approaches the Fermi wavelength, the quantum effects on the CRLH-TL must be taken into account similarly to the mesoscopic circuits [21,22,23,24,25]. In our former work, we firstly deduced the quantum features of negative refraction index (NRI) of the lossless mesoscopic left-handed transmission line (LH-TL) [26]. And then the quantized lossy LH-TL [27] entered our the next work, we discussed the characteristics of NRI of the lossy LH-TL [27] in a displaced squeezed Fock state.…”

Wider frequency domain for negative refraction index in a quantized composite right–left handed transmission line

“…However, when the compact size of the CRLH-TL approaches the Fermi wavelength, the quantum effects [25][26][27] on the CRLH-TL must be taken into account. In our former work, we firstly deduced the quantum features of NRI of the lossless mesoscopic left-handed transmission line (LH-TL) [28]. Then we quantized the lossy LH-TL [29] and we discussed the quantum influence of dissipation on the NRI [29] in a displaced squeezed Fock state.…”