2012-08-012024-05-17https://scholars.lib.ntu.edu.tw/handle/123456789/683175摘要：本研究計畫首先將利用均勻介質理論[1], [2]來建立幾何週期與微結構尺寸均遠小於操作波長之超穎材料等效塊材模型。透過推導超穎材料之等效材料特性及其與微結構尺寸間的關係式，我們可以在微波頻段合成介電常數為負之人造材料；這相當於貴金屬(如：金或銀)在光波頻段之介電常數特性，據此，我們將進一步修正表面電漿共振發生時之色散關係式，並在微波頻段實現本來只存在於光波頻段的表面電漿共振效應。同時，我們也將以拓樸最佳化方法來合成具有如全方向性、低損耗、或寬頻等特性之人造超穎材料，以便於在不同材質架構與入射波條件下均能產生表面電漿共振。最後，亦探討其可能的應用，如感測器、新型導波結構、高增益天線等。 [1] Andrea Alu, “First-principle homogenization theory for periodic metamaterials,” TX 78712, USA. [2] Mario G. Silveirinha and Carlos A. Fernandes, “Homogenization of metamaterial surfaces and slabs: the crossed wire mesh canonical problem,” IEEE Trans. Antennas Propagat., vol. 53, no. 1, pp. 59–69, Jan. 2005.<br> Abstract: In this research proposal, the effective medium model for the metamaterial or artificial material that is composed of microstructures with their periods and physical dimensions much smaller than a wavelength will be developed based on the homogenization theory [1], [2]. With the aid of the derived analytic formula describing the relations between the effective medium parameters and the design parameters of the microstructures, metamaterials having negative effective dielectric constant can thus be designed and realized in microwave regime. Since the negative dielectric constant is an unique property for noble metals, such as gold or silver, at optical frequencies, the surface plasmon resonance effect, which is known to occur only in the optical frequencies, may be realized in microwave regime. The dispersion relation for surface plasmon resonance will be derived by taking into account the spatial dispersion effect. Besides, the topology optimization method will also be adopted to synthesize the microstructures of metamaterials having various characteristics, such as isotropy, low loss, or wide bandwidth. With these specifically designed metamaterials, the surface plasmon resonances could be produced in various geometric or material structures under various incident wave conditions. Lastly, the potential microwave applications of the surface plasmon resonance, such as sensing devices, novel waveguiding structures, and high-gain antennas, will also be investigated in this project. [1] Andrea Alu, “First-principle homogenization theory for periodic metamaterials,” TX 78712, USA. [2] Mario G. Silveirinha and Carlos A. Fernandes, “Homogenization of metamaterial surfaces and slabs: the crossed wire mesh canonical problem,” IEEE Trans. Antennas Propagat., vol. 53, no. 1, pp. 59–69, Jan. 2005.人造材料超穎物質表面電漿子artificial materialmetamaterialsurface plasmon