论文标题
经过修改的布拉格（Bragg）的I级Bragg Linear Long Waves的共鸣，由一系列人造棒激发
A modified Bragg's law of Class I Bragg resonances of linear long waves excited by an array of artificial bars
论文作者
论文摘要
基于Bloch波的带理论，当线性长浪通过有限的周期性的人造条形阵列反射，包括矩形，抛物面，抛物面性肌动物剂，等肌镜，替代曲骨和三角形的三角形杆，建立了I级Bragg的定律。修改后的布拉格定律是通过几个参数的函数来描述的，例如条形，相对于整体水深无量纲的条形高度以及相对于入射波长的无量纲条形宽度。发现布拉格的定律只是修改后布拉格定律的一个限制案例，因为条形高度或宽度接近零。这个事实告诉我们，精确描述X射线晶体学中Bragg共鸣的Bragg定律不能简单地应用于任何有限的人工条形阵列激发的线性长水波的共鸣，因为任何人工棒的高度和宽度都不能为零。根据修改后的布拉格定律，可以很好地解释和准确地预测相位变变的现象。据揭示，随着人造条的横截面面积的增加，相距变变变得更加重要。
Based on the band theory of Bloch waves, a modified Bragg's law is established for Class I Bragg resonances when linear long waves are reflected by a finite periodic array of artificial bars, including rectangular, parabolic, rectified cosinoidal, isosceles trapezoidal, and isosceles triangular bars. The modified Bragg's law is described by a function of several parameters such as the bar shape, dimensionless bar height with respect to the global water depth, and dimensionless bar width with respect to the incident wavelength. It is found that Bragg's law is just a limiting case of the modified Bragg's law as the bar height or width approaches zero. This fact tells us that the Bragg's law that accurately describes Bragg resonances in X-ray crystallography cannot be simply applied to Bragg resonances of linear long water waves excited by any finite periodic array of artificial bars, because the height and width of any artificial bar cannot be zero. Based on the modified Bragg's law, the phenomenon of phase downshifting can be well explained and accurately predicted. It is revealed that the phase downshifting becomes more significant with increasing the cross-sectional area of artificial bars.
