论文标题
麦克斯韦·加内特理论的崩溃是由于深度波长量表而引起的
Breakdown of Maxwell Garnett theory due to evanescent fields at deep-subwavelength scale
论文作者
论文摘要
据信，深入波长全丝离材料会紧紧遵守麦克斯韦·加内特有效的培养基理论。在这里，我们证明麦克斯韦·加内特理论可能会因深波长介电结构中的渐渐景观而崩溃。通过利用λ/100尺度上具有不均匀性的二维和三维介电复合材料，我们表明局部evanevanscent田通常发生在介电不均匀性附近。当将微小的吸收成分放置在那里时，整个复合材料的吸收和传播将显示出对吸收成分位置的强烈依赖。麦克斯韦·加内特（Maxwell Garnett）理论无法预测这种依赖位置的特征，因为它平均消除了逃生的领域。通过考虑逃生领域的分布，我们对麦克斯韦·加内特理论进行了纠正，从而使依赖位置的特征变得可预测。我们不仅揭示了麦克斯韦·加内特理论的崩溃，而且还揭示了在深层波长尺度下禁止电场引起的“无形”损失的独特现象。我们的作品承诺了一条途径，可以控制复合材料的宏观特性，而不会改变其组成，这超出了传统的麦克斯韦·加内特理论。
Deep-subwavelength all-dielectric composite materials are believed to tightly obey the Maxwell Garnett effective medium theory. Here, we demonstrate that the Maxwell Garnett theory could break down due to evanescent fields in deep-subwavelength dielectric structures. By utilizing two- and three-dimensional dielectric composite materials with inhomogeneities at the scale of λ/100, we show that local evanescent fields generally occur nearby the dielectric inhomogeneities. When tiny absorptive constituents are placed there, the absorption and transmission of the whole composite will show strong dependence on the positions of the absorptive constituents. The Maxwell Garnett theory fails to predict such position-dependent characteristics, because it averages out the evanescent fields. By taking the distribution of the evanescent fields into consideration, we made a correction to the Maxwell Garnett theory, such that the position-dependent characteristics become predictable. We reveal not only the breakdown of the Maxwell Garnett theory, but also a unique phenomenon of "invisible" loss induced by the prohibition of electric fields at deep-subwavelength scales. Our work promises a route to control the macroscopic properties of composite materials without changing their composition, which is beyond the traditional Maxwell Garnett theory.
