色散性超材料之電動力學與聲波動力學研究;Study on the Electrodynamics and Acoustodynamics of Dispersive Metamaterials

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題名:	色散性超材料之電動力學與聲波動力學研究;Study on the Electrodynamics and Acoustodynamics of Dispersive Metamaterials
作者:	欒丕綱
貢獻者:	國立中央大學光電科學與工程學系
關鍵詞:	物理;材料科技
日期:	2012-12-01
上傳時間:	2014-03-17 11:51:37 (UTC+8)
出版者:	行政院國家科學委員會
摘要:	研究期間：10108~10207;In this project “Study on the electrodynamics and acoustodynamics of dispersive metamaterials”we will study the electrodynamics/acoustodynamics of dispersive-lossy metamaterials. Our study includes the following items: 1. We will first derive the formulas of effective energy density in dispersive electromagnetic metamaterials. From these formulas we can know what the appropriate field variables are. From the known equations of motion for these field variables we can find the Lagrangian density by trial and error method. The equations of motion are then identified as the Euler-Lagrangian equations. The corresponding canonical momentum of every field variable can be derived from this Lagrangian density, and then we can find the Hamiltonian density using the Legendre Transformation. The Hamiltonian density should be the same as the energy density or plus a divergence term. 2. For acoustic metamaterials we will follow the procedures of 1 to find the Langrangian density and Hamiltonian density, and then study their acoustodynamics. 3. If the metamaterials are lossy, we will find the dissipation function. 4. For the system that we can find the Hamiltonian, we will study the quantized version of the system. This research may provide useful insight or knowledge for further studying the quantum optics that is related to metamaterials. 5. We will study the propagation behaviors of electromagnetic/acoustic signals in dispersive metamaterials. The research results may provide useful insight or knowledge for the study of communication system/Integrated optics system using metamaterials.
關聯:	財團法人國家實驗研究院科技政策研究與資訊中心
顯示於類別:	[光電科學與工程學系] 研究計畫

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