基于几何相位与补偿相位模型的宽带消色差超构透镜设计与实现-以PR Applied论文为例,《基于几何相位与补偿相位模型的宽带消色差超构透镜设计与实现》,宽带消色差 超构透镜 几何相位与补偿相位模型
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基于几何相位与补偿相位模型的宽带消色差超构透镜设计与实现——以PR Applied论文为例,《基于几何相位与补偿相位模型的宽带消色差超构透镜设计与实现》,宽带消色差 超构透镜 几何相位与补偿相位模型复现lunwen：2019年PR Applied：Broadband Achromatic Metalens in the Midinfrared Rangelunwen介绍：该模型采用几何相位与补偿相位相结合的方法实现宽带消色差聚焦的超构透镜，几何相位作为基础相位，利用传输相位作为补偿相位抵消色散，通过优化选择每一个位置的单元结构参数，设计具有宽带消色差的超构透镜，模型采用的方法与17年的NC一致，结构参数采用19年PR Applied的结构，硅纳米柱的矩形结构，实现3.7-4.5um波段的消色差宽带聚焦；案例内容：主要包括硅纳米柱的单元结构仿真、相位和像散的参数扫描，超构透镜的目标相位与补偿相位的计算代码，超构透镜单元索引优化的代码以及超构透镜的建模，和对应的远场消色差聚焦计算；案例包括fdtd模型、fdtd建模脚本、Matlab计算相位代码和模型仿真复现结果，以及一份word <link href="/image.php?url=https://csdnimg.cn/release/download_crawler_static/css/base.min.css" rel="stylesheet"/><link href="/image.php?url=https://csdnimg.cn/release/download_crawler_static/css/fancy.min.css" rel="stylesheet"/><link href="/image.php?url=https://csdnimg.cn/release/download_crawler_static/90434105/2/raw.css" rel="stylesheet"/><div id="sidebar" style="display: none"><div id="outline"></div></div><div class="pf w0 h0" data-page-no="1" id="pf1"><div class="pc pc1 w0 h0"><img alt="" class="bi x0 y0 w1 h1" src="/image.php?url=https://csdnimg.cn/release/download_crawler_static/90434105/bg1.jpg"/><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">技术博文：宽带消色差超构透镜的几何相位与补偿相位模型</div><div class="t m0 x1 h2 y2 ff1 fs0 fc0 sc0 ls0 ws0">一、引言</div><div class="t m0 x1 h2 y3 ff1 fs0 fc0 sc0 ls0 ws0">随着科技的发展，<span class="_ _0"></span>超构透镜在光学领域的应用越来越广泛。<span class="_ _0"></span>其中，<span class="_ _0"></span>宽带消色差超构透镜是近</div><div class="t m0 x1 h2 y4 ff1 fs0 fc0 sc0 ls0 ws0">年来研究的热点之一。<span class="_ _1"></span>本文将介绍一种基于几何相位与补偿相位的模型，<span class="_ _1"></span>以实现宽带消色差</div><div class="t m0 x1 h2 y5 ff1 fs0 fc0 sc0 ls0 ws0">聚焦的超构透镜。<span class="_ _0"></span>我们将以<span class="_ _2"> </span><span class="ff2">2019<span class="_ _2"> </span></span>年<span class="_ _2"> </span><span class="ff2">PR App<span class="_ _3"></span>lied<span class="_ _2"> </span><span class="ff1">中一篇文章为蓝本，<span class="_ _0"></span>详细探讨其原理及复现</span></span></div><div class="t m0 x1 h2 y6 ff1 fs0 fc0 sc0 ls0 ws0">方法。</div><div class="t m0 x1 h2 y7 ff1 fs0 fc0 sc0 ls0 ws0">二、背景知识</div><div class="t m0 x1 h2 y8 ff2 fs0 fc0 sc0 ls0 ws0">1. <span class="_ _4"> </span><span class="ff1">宽带消色<span class="_ _5"></span>差：在<span class="_ _5"></span>传统透镜<span class="_ _5"></span>中，不同<span class="_ _5"></span>波长的光<span class="_ _5"></span>通过透镜<span class="_ _5"></span>会产生色<span class="_ _5"></span>散，导致<span class="_ _5"></span>聚焦点产<span class="_ _5"></span>生偏差。</span></div><div class="t m0 x1 h2 y9 ff1 fs0 fc0 sc0 ls0 ws0">而宽带消色差透镜则是能够消除这种色散效应的透镜。</div><div class="t m0 x1 h2 ya ff2 fs0 fc0 sc0 ls0 ws0">2. <span class="_ _4"> </span><span class="ff1">超构透<span class="_ _5"></span>镜：与普<span class="_ _5"></span>通透镜不<span class="_ _5"></span>同，超构<span class="_ _5"></span>透镜是由<span class="_ _5"></span>纳米级别<span class="_ _5"></span>的亚波长<span class="_ _5"></span>结构组成<span class="_ _5"></span>，其性<span class="_ _5"></span>能具有更</span></div><div class="t m0 x1 h2 yb ff1 fs0 fc0 sc0 ls0 ws0">优异的调控能力。</div><div class="t m0 x1 h2 yc ff2 fs0 fc0 sc0 ls0 ws0">3. <span class="_ _4"> </span><span class="ff1">几何相<span class="_ _5"></span>位与补偿<span class="_ _5"></span>相位：这<span class="_ _5"></span>两种相位<span class="_ _5"></span>是实现宽<span class="_ _5"></span>带消色差<span class="_ _5"></span>超构透镜<span class="_ _5"></span>的关键。<span class="_ _5"></span>几何相<span class="_ _5"></span>位作为基</span></div><div class="t m0 x1 h2 yd ff1 fs0 fc0 sc0 ls0 ws0">础相位，利用传输相位作为补偿相位抵消色散。</div><div class="t m0 x1 h2 ye ff1 fs0 fc0 sc0 ls0 ws0">三、硅纳米柱的单元结构仿真</div><div class="t m0 x1 h2 yf ff1 fs0 fc0 sc0 ls0 ws0">首先，<span class="_ _6"></span>我们需要对硅纳米柱的单元结构进行仿真。<span class="_ _6"></span>这包括对硅纳米柱的尺寸、<span class="_ _6"></span>形状、<span class="_ _6"></span>排列方</div><div class="t m0 x1 h2 y10 ff1 fs0 fc0 sc0 ls0 ws0">式等进行设定和优化。<span class="_ _7"></span>通过仿真软件<span class="_ _7"></span>（如<span class="_ _4"> </span><span class="ff2">COMSOL Multiphysics</span>）<span class="_ _7"></span>对硅纳米柱的单元结构进</div><div class="t m0 x1 h2 y11 ff1 fs0 fc0 sc0 ls0 ws0">行模拟，得到其光学性能参数。</div><div class="t m0 x1 h2 y12 ff1 fs0 fc0 sc0 ls0 ws0">四、相位和像散参数扫描</div><div class="t m0 x1 h2 y13 ff1 fs0 fc0 sc0 ls0 ws0">在确定了硅纳米柱的单元结构后，<span class="_ _1"></span>我们需要对相位和像散参数进行扫描。<span class="_ _1"></span>通过改变硅纳米柱</div><div class="t m0 x1 h2 y14 ff1 fs0 fc0 sc0 ls0 ws0">的尺寸、形状等参数，扫描其相位和像散参数的变化情况，以便后续优化设计。</div><div class="t m0 x1 h2 y15 ff1 fs0 fc0 sc0 ls0 ws0">五、超构透镜的目标相位与补偿相位的计算代码</div><div class="t m0 x1 h2 y16 ff1 fs0 fc0 sc0 ls0 ws0">接下来，<span class="_ _0"></span>我们需要计算超构透镜的目标相位与补偿相位。<span class="_ _0"></span>这需要编写相应的计算代码。<span class="_ _0"></span>代码</div><div class="t m0 x1 h2 y17 ff1 fs0 fc0 sc0 ls0 ws0">中需要包含对每个单元结构的参数进行优化选择，<span class="_ _1"></span>以实现宽带消色差聚焦的目标。<span class="_ _1"></span>具体代码</div><div class="t m0 x1 h2 y18 ff1 fs0 fc0 sc0 ls0 ws0">实现可以参考以下伪代码：</div><div class="t m0 x1 h2 y19 ff2 fs0 fc0 sc0 ls0 ws0">```python</div><div class="t m0 x1 h2 y1a ff2 fs0 fc0 sc0 ls0 ws0"># <span class="_ _4"> </span><span class="ff1">定义目标波长范围、目标相位等参数</span></div><div class="t m0 x1 h2 y1b ff2 fs0 fc0 sc0 ls0 ws0">target_wavelengths = [...] <span class="_ _8"> </span># <span class="_ _4"> </span><span class="ff1">例如：</span>3.7-4.5um<span class="_ _4"> </span><span class="ff1">波段</span></div><div class="t m0 x1 h2 y1c ff2 fs0 fc0 sc0 ls0 ws0">target_phase = [...] <span class="_ _8"> </span># <span class="_ _4"> </span><span class="ff1">目标相位值</span></div><div class="t m0 x1 h2 y1d ff2 fs0 fc0 sc0 ls0 ws0"># <span class="_ _4"> </span><span class="ff1">定义硅纳米柱的单元结构参数范围</span></div><div class="t m0 x1 h2 y1e ff2 fs0 fc0 sc0 ls0 ws0">parameters = [...] <span class="_ _8"> </span># <span class="_ _4"> </span><span class="ff1">如尺寸、形状等参数范围</span></div></div><div class="pi" data-data='{"ctm":[1.611830,0.000000,0.000000,1.611830,0.000000,0.000000]}'></div></div>