Two-channel photonic crystal filter system

根据耦合模理论和线缺陷波导、点缺陷谐振腔的控光特性，在二维四方晶格光子晶体中设计了一种由主波导、两个下载波导、两个谐振腔和两个反射腔组成的二信道滤波系统。基于平面波展开法计算了完整光子晶体、线缺陷波导的能带结构，分析了点缺陷谐振腔的模态分布。基于时域有限差分法研究了滤波系统的传输特性，分析了反射壁、反射腔到谐振腔所在参考平面的距离取值呈线性变化时对系统下载效率的影响，并给出透射率峰值随它们的变化规律。根据计算结果指导滤波系统的仿真设计，模拟结果表明：该滤波系统能够把波长为<inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><msub><mrow><mi>λ</mi></mrow><mrow><mn mathvariant="normal">1</mn></mrow></msub></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/3BA7E302-463F-4872-B725-76D8A57CFA6B-M001.jpg"><?fx-imagestate width="2.53999996" height="3.21733332"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/3BA7E302-463F-4872-B725-76D8A57CFA6B-M001c.jpg"><?fx-imagestate width="2.53999996" height="3.21733332"?></graphic></alternatives></inline-formula>=1 561.2 nm，<inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><msub><mrow><mi>λ</mi></mrow><mrow><mn mathvariant="normal">2</mn></mrow></msub></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/3BA7E302-463F-4872-B725-76D8A57CFA6B-M002.jpg"><?fx-imagestate width="2.53999996" height="3.21733332"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/3BA7E302-463F-4872-B725-76D8A57CFA6B-M002c.jpg"><?fx-imagestate width="2.53999996" height="3.21733332"?></graphic></alternatives></inline-formula>=1 570.5 nm的光信号较为精准地耦合到各自下载波导中，对应的透射率分别为98.9%，97.2%，半峰全宽分别为3.3 nm，3.5 nm，品质因子分别为473，449，波长间隔为<inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mi mathvariant="normal">Δ</mi><mi mathvariant="normal">λ</mi></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/3BA7E302-463F-4872-B725-76D8A57CFA6B-M003.jpg"><?fx-imagestate width="3.64066648" height="2.37066650"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/3BA7E302-463F-4872-B725-76D8A57CFA6B-M003c.jpg"><?fx-imagestate width="3.64066648" height="2.37066650"?></graphic></alternatives></inline-formula>=9.3 nm。该滤波系统的尺寸为20.88 <inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mi mathvariant="normal">μ</mi><mi mathvariant="normal">m</mi><mo>×</mo></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/3BA7E302-463F-4872-B725-76D8A57CFA6B-M004.jpg"><?fx-imagestate width="7.36600018" height="3.13266683"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/3BA7E302-463F-4872-B725-76D8A57CFA6B-M004c.jpg"><?fx-imagestate width="7.36600018" height="3.13266683"?></graphic></alternatives></inline-formula>22.04<inline-formula><alternatives><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mtext> </mtext><mi mathvariant="normal">μ</mi><mi mathvariant="normal">m</mi></math><graphic specific-use="big" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/3BA7E302-463F-4872-B725-76D8A57CFA6B-M005.jpg"><?fx-imagestate width="4.91066647" height="3.13266683"?></graphic><graphic specific-use="small" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="alternativeImage/3BA7E302-463F-4872-B725-76D8A57CFA6B-M005c.jpg"><?fx-imagestate width="4.91066647" height="3.13266683"?></graphic></alternatives></inline-formula>，设计结构简单，工作波长容易调节，有利于大规模集成，可以为光通信领域光路集成设计提供一定的理论基础和思路。