Electromagnetic Bloch-like oscillations in Fibonacci metamaterial waveguide arrays
doi: 10.37188/CO.EN-2024-0033
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摘要:
本文研究了一种特异材料构成的波导阵列中光传输的类布洛赫振荡特性，这种准周期波导阵列是由金属和介质两种介质按斐波那契数列的顺序排列组成。通过研究高斯脉冲在结构中传输时的广场分布，可以直观地观察其光场演化情况。在没有引入厚度梯度或介电常数梯度情形下，在第九代斐波那契准周期波导中发现了三种振荡模式。另外，随着入射脉冲波长的增加，在第九代和第十代斐波那契准周期波导中类布洛赫振荡周期产生红移，这为布洛赫振荡调控提供了一种有意义的途径。
Abstract:This paper investigates optical transport in metamaterial waveguide arrays (MMWAs) exhibiting Bloch-like oscillations (BLOs). The MMWAs is fabricated by laterally combining metal and dielectric layers in a Fibonacci sequence. By mapping the field distribution of Gaussian wave packets in these arrays, we directly visualize the mechanical evolution in a classical wave environment. Three distinct oscillation modes are observed at different incident positions in the ninth-generation Fibonacci structure, without introducing thickness or refractive index gradient in any layer. Additionally, the propagation period of BLOs increases with a redshift of the incident wavelength for both ninth- and tenth-generation Fibonacci MMWAs. These findings provide a valuable method for manipulating BLOs and offer new insights into optical transport in metamaterials, with potential applications in optical device and wave control technologies.
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Key words:
- quasiperiodic /
- Bloch-like oscillation /
- metamaterial /
- Fibonacci
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Figure 1. (Color online) (a) Schematic illustration of the 2D quasiperiodic waveguide array. The blue and green layers represent the silicon dioxide dielectric layer and the silver layer, respectively. The electromagnetic waves are incident along the Y-direction. The amplitude of the Gaussian pulse is shown in the red line. And the circle shows the intensity distribution. (b) The band diagram of the graded MMWA with a gradient
$ {\alpha _{}} $ increasing from 0 to 0.15 for the dielectric permittivity with a relation of$ {\varepsilon _a} = {\varepsilon _0} + \alpha (N - 1) $ . Red regions represent the minigaps, white regions represent the minibands.
Figure 2. (Color online) (a) and (b) show contours of magnetic field intensity
$ \left| {{H_y}} \right| $ simulated by the FDTD method for Gaussian pulses with$ \lambda = 460 $ nm and$ \lambda = $ $ 488 $ nm, respectively. (c) The simulated period of the BLO in the waveguide arrays depends on the incident light wavelength ($ \lambda = $ 405, 460, 488, 514, 532, 589, 635, 650, 694 nm, respectively).
Figure 3. Contours of magnetic field intensity
$ \left| {{H_y}} \right| $ for a Gaussian pulse impinging on the positions of$ x = 0.34 $ ,$ x = 0 $ and$ x = - 0.34 $ are shown in (a), (b), and (c) respectively.
Figure 4. (a)−(c) Contours of magnetic field intensity
$ \left| {{H_y}} \right| $ for Gaussian pulse impinging on the position of$ x = 0.21 $ . -
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