Channel Drop Tunneling through Localized States
Channel Drop Tunneling through Localized States
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DOI：
10.1103/physrevlett.80.960
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发表时间：
1998-02
影响因子：
8.6
通讯作者：
S. Fan;P. R. Villeneuve;J. Joannopoulos;H. Haus
中科院分区：
文献类型：
--
作者：
S. Fan;P. R. Villeneuve;J. Joannopoulos;H. Haus
我们提出了一个一般性的分析隧穿过程通过局域共振态之间的一维连续。我们表明，通过创建不同对称性的共振态，并迫使它们之间的偶然简并，可以发生完整的转移之间的连续。简并必须存在于频率的真实的和虚部中。我们通过对二维光子晶体中电磁波的输运特性进行计算机模拟来说明分析结果。当状态通过支持局域共振的耦合元件相互作用时，它们之间可以发生共振隧穿过程。特别令人感兴趣的是一维连续体之间的完整信道丢弃隧穿，即，单个传播状态的选择性转移（即，单能电子或单频光子）从一个连续谱到另一个连续谱，使所有其他状态不受影响。例子包括通过量子点器件在电子波导[1，2]之间的状态转移，以及通过光学谐振器系统在电介质波导之间的光子状态转移。这种转移过程对于光通信系统中的单能电子光谱学或波长解复用是重要的[3，4]。然而，据我们所知，实现最佳转移所需的一般条件迄今尚未得到承认。在这封信中，我们确定了实现完整的沟道下降隧穿所需的耦合元件的一般特性。我们开始提出了一个定性分析，使用对称性和能量守恒的参数，确定在构建一个分析理论所需的重要成分。使用严格的数学形式主义，然后，我们证明，完全转移可以发生通过创建不同的对称性的共振态，并通过迫使一个偶然的简并的频率之间的真实的和虚部。我们通过模拟二维光子晶体中电磁波的输运特性来说明分析结果。
We present a general analysis of the tunneling process through localized resonant states between onedimensional continuums. We show that complete transfer can occur between the continuums by creating resonant states of different symmetry, and by forcing an accidental degeneracy between them. The degeneracy must exist in both the real and imaginary parts of the frequency. We illustrate the results of the analysis by performing computational simulations on the transport properties of electromagnetic waves in a two-dimensional photonic crystal. [S0031-9007(97)05091-6] Resonant tunneling processes can occur between states when they interact through a coupling element which supports localized resonances. Of particular interest is the complete channel drop tunneling between one-dimensional continuums, i.e., the selective transfer of a single propagating state (i.e., monoenergy electron, or single-frequency photon) from one continuum to the other, leaving all other states unaffected. Examples include the transfer of states between electron waveguides [1,2] through a quantum dot device, and the transfer of photonic states between dielectric waveguides through an optical resonator system. Such transfer processes are important for single-energy electron spectroscopy or wavelength demultiplexing in optical communication systems [3,4]. However, to our knowledge, the general conditions needed to realize optimal transfer until now have not been recognized. In this Letter, we determine the general characteristics of the coupling element required to achieve complete channel drop tunneling. We begin by presenting a qualitative analysis using symmetry and energy conservation arguments which identifies the important ingredients needed in constructing an analytical theory. Using a rigorous mathematical formalism, we then demonstrate that complete transfer can occur by creating resonant states of different symmetry, and by forcing an accidental degeneracy of both the real and imaginary parts of the frequency between the resonant states. We illustrate the results of the analysis by simulating the transport properties of electromagnetic waves in a two-dimensional photonic crystal.