CN105353462B - Photon crystal filter with reflection cavity - Google Patents
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- 239000011159 matrix material Substances 0.000 claims description 3
- 238000002834 transmittance Methods 0.000 abstract description 8
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Abstract
一种带有反射腔的光子晶体滤波器，包括二维光子晶体，该光子晶体中去掉一排水平的介质柱形成水平波导，并且从该水平波导的中心开始向上去掉一排垂直的介质柱形成垂直波导，垂直波导即为垂直输出波导，垂直波导与水平波导相交位置的一侧的水平波导为水平输入波导，垂直波导与水平波导相交位置的另一侧的水平波导为水平输出波导，缺陷腔位于垂直输出波导内靠近与水平输入波导相邻的位置，反射腔位于水平输出波导内与该垂直输出波导相邻的位置，所述反射腔与缺陷腔均包括五个依次排列的介质柱。该光子晶体滤波器，通过调节缺陷腔和反射腔的中心介质柱半径，减少波导和微腔的散射损耗，使得该滤波器达到最佳滤波效果，透过率高，Q值也高。
A photonic crystal filter with a reflective cavity, comprising a two-dimensional photonic crystal, in which a row of horizontal dielectric columns is removed to form a horizontal waveguide, and a row of vertical dielectric columns is removed from the center of the horizontal waveguide to form a Vertical waveguide, the vertical waveguide is the vertical output waveguide, the horizontal waveguide on one side of the intersection of the vertical waveguide and the horizontal waveguide is the horizontal input waveguide, the horizontal waveguide on the other side of the intersection of the vertical waveguide and the horizontal waveguide is the horizontal output waveguide, and the defect cavity Located in the vertical output waveguide adjacent to the horizontal input waveguide, the reflective cavity is located in the horizontal output waveguide adjacent to the vertical output waveguide, and both the reflective cavity and the defect cavity include five dielectric columns arranged in sequence. The photonic crystal filter reduces the scattering loss of the waveguide and the microcavity by adjusting the radius of the central dielectric column of the defect cavity and the reflection cavity, so that the filter achieves the best filtering effect, high transmittance, and high Q value.
Description
技术领域technical field
本发明涉及一种光子晶体滤波器。The invention relates to a photonic crystal filter.
背景技术Background technique
光子晶体是一种将不同介电常数的材料按周期性排列构成的人工微结构，其基本特性是光子带隙，频率落在禁带中的光波将无法传播，另一个特性是光子局域，打破光子晶体的周期性结构，引入某些缺陷，与缺陷频率相吻合的光波将被局域在缺陷内，由于光子晶体的优良特性和它可以在很小的尺寸空间控制光的传播、结构紧凑性好的优点，光子晶体为人们设计滤波器提供了有力的工具。Photonic crystal is an artificial microstructure formed by periodically arranging materials with different dielectric constants. Its basic characteristic is the photonic band gap. Light waves whose frequency falls in the forbidden band will not be able to propagate. Another characteristic is photon localization. Breaking the periodic structure of photonic crystals and introducing some defects, the light waves that match the frequency of the defects will be localized in the defects. Due to the excellent characteristics of photonic crystals and the fact that they can control the propagation of light in a small space and have a compact structure With the advantages of good performance, photonic crystals provide a powerful tool for people to design filters.
光子晶体微腔是破坏光子晶体周期性结构的点缺陷，微腔频率位于光子晶体带隙内，光被完全约束进微腔，理论上微腔的品质因子可以很高，通过调节微腔的结构和参数，可以改变微腔的谐振频率和模式，因此微腔是一个理想的滤波器件。The photonic crystal microcavity is a point defect that destroys the periodic structure of the photonic crystal. The frequency of the microcavity is within the band gap of the photonic crystal, and the light is completely confined into the microcavity. Theoretically, the quality factor of the microcavity can be very high. By adjusting the structure of the microcavity And parameters, can change the resonant frequency and mode of the microcavity, so the microcavity is an ideal filter device.
硫系玻璃是一种基于硫、硒、碲等元素并加入其它元素制得的光学材料，其响应时间超快，响应时间小于100fs，其中光效应小于50fs，且非线性系数高，三阶非线性系数n2比一般的氧化物玻璃大得多，是硅基的100-1000倍。这类玻璃突破了传统光通信所广泛使用的非线性系数不够高的石英玻璃，可以实现光学器件的小型化及高性能。此外，硫系玻璃还是一种优良的红外光学材料，具有较宽的红外透过光谱，依据组成不同，其透过范围从0.5um～25um不等，透过波段包括全部的近红外和大部分中红外区域，这为后续设计近红外及中红外区域的光子晶体滤波器提供了可能。Chalcogenide glass is an optical material based on sulfur, selenium, tellurium and other elements with the addition of other elements. The linear coefficient n2 is much larger than that of ordinary oxide glass, and is 100-1000 times that of silicon-based. This type of glass breaks through the quartz glass with insufficient nonlinear coefficient widely used in traditional optical communications, and can realize the miniaturization and high performance of optical devices. In addition, chalcogenide glass is also an excellent infrared optical material with a wide infrared transmission spectrum. Depending on the composition, its transmission range ranges from 0.5um to 25um. The transmission band includes all near-infrared and most In the mid-infrared region, this provides the possibility for the subsequent design of photonic crystal filters in the near-infrared and mid-infrared regions.
发明内容Contents of the invention
本发明所要解决的技术问题是一种透过率高、Q值也高的带有反射腔的光子晶体滤波器。The technical problem to be solved by the invention is a photonic crystal filter with a reflective cavity with high transmittance and high Q value.
本发明解决上述技术问题所采用的技术方案为：一种带有反射腔的光子晶体滤波器，包括多个介质柱形成的二维光子晶体，其特征在于：该二维光子晶体中去掉一排水平的介质柱形成水平波导，并且从该水平波导的中心开始向上去掉一排垂直的介质柱形成垂直波导，该垂直波导即为垂直输出波导，该垂直波导与水平波导相交位置的一侧的水平波导为水平输入波导，该垂直波导与水平波导相交位置的另一侧的水平波导为水平输出波导，缺陷腔位于垂直输出波导内靠近与水平输入波导相邻的位置，反射腔位于水平输出波导内与该垂直输出波导相邻的位置，所述反射腔与缺陷腔均包括五个依次排列的介质柱，其中位于中心的中心介质柱的半径比另外四个介质柱的半径大，另外四个介质柱分别两两位于中心介质柱的两侧。The technical solution adopted by the present invention to solve the above-mentioned technical problems is: a photonic crystal filter with a reflective cavity, including a two-dimensional photonic crystal formed by a plurality of dielectric pillars, characterized in that a row of photonic crystals is removed from the two-dimensional photonic crystal The horizontal dielectric pillars form a horizontal waveguide, and a row of vertical dielectric pillars are removed from the center of the horizontal waveguide to form a vertical waveguide. The vertical waveguide is the vertical output waveguide. The waveguide is a horizontal input waveguide, the horizontal waveguide on the other side where the vertical waveguide and the horizontal waveguide intersect is a horizontal output waveguide, the defect cavity is located in the vertical output waveguide close to the position adjacent to the horizontal input waveguide, and the reflection cavity is located in the horizontal output waveguide Adjacent to the vertical output waveguide, the reflection cavity and the defect cavity both include five dielectric columns arranged in sequence, wherein the central dielectric column at the center has a larger radius than the other four dielectric columns, and the other four dielectric columns The columns are respectively located two by two on both sides of the central medium column.
优选地，所述二维光子晶体为正方晶格光子晶体，并且正方晶格光子晶体的介质柱半径为0.21a，a为晶格常数，正方晶格光子晶体的介质柱为硫系玻璃基质，背景为空气。Preferably, the two-dimensional photonic crystal is a square lattice photonic crystal, and the radius of the dielectric column of the square lattice photonic crystal is 0.21a, a is a lattice constant, and the dielectric column of the square lattice photonic crystal is a chalcogenide glass matrix, The background is air.
优选地，所述缺陷腔中的中心介质柱的半径为0.35a，其他四个介质柱的半径为0.21a，所述反射腔中的中心介质柱的半径为0.4a，其他四个介质柱的半径为0.21a。Preferably, the radius of the central dielectric column in the defect cavity is 0.35a, the radius of the other four dielectric columns is 0.21a, the radius of the central dielectric column in the reflective cavity is 0.4a, and the radius of the other four dielectric columns The radius is 0.21a.
优选地，所述正方晶格光子晶体的晶格常数a＝620nm。Preferably, the lattice constant of the square lattice photonic crystal is a=620nm.
与现有技术相比，本发明的优点在于通过调节缺陷腔和反射腔的中心介质柱半径，减少波导和微腔的散射损耗，使得该滤波器在需要波段达到最佳滤波效果，透过率高，Q值也高。Compared with the prior art, the present invention has the advantage of reducing the scattering loss of the waveguide and the microcavity by adjusting the radius of the central dielectric column of the defect cavity and the reflection cavity, so that the filter can achieve the best filtering effect in the required band, and the transmittance High, Q value is also high.
附图说明Description of drawings
图1为本发明实施例的带有反射腔的光子晶体滤波器的结构示意图。FIG. 1 is a schematic structural diagram of a photonic crystal filter with a reflective cavity according to an embodiment of the present invention.
图2是本发明实施例的光子晶体滤波器的带隙宽度与介质柱半径的变化关系图。Fig. 2 is a graph showing the relationship between the bandgap width and the radius of the dielectric pillar of the photonic crystal filter according to the embodiment of the present invention.
图3是完美光子晶体TM模的带隙分布图。Fig. 3 is a diagram of the bandgap distribution of the perfect photonic crystal TM mode.
图4是采用平面波展开法仿真的具有一个波导的光子晶体波导色散图，其中X轴代表波矢，Y轴代表归一化频率。Fig. 4 is a photonic crystal waveguide dispersion diagram with one waveguide simulated by the plane wave expansion method, where the X-axis represents the wave vector, and the Y-axis represents the normalized frequency.
图5a为输入1550nm单一波长的高斯波时，无反射腔的光子晶体滤波器的稳态场强分布图，图5b为输入1550nm单一波长的高斯波时，有反射腔的光子晶体滤波器的稳态场强分布图。Figure 5a is the steady-state field intensity distribution diagram of the photonic crystal filter without a reflective cavity when a Gaussian wave with a single wavelength of 1550nm is input, and Figure 5b is the steady-state field intensity distribution of a photonic crystal filter with a reflective cavity when a Gaussian wave with a single wavelength of 1550nm is input. State field strength distribution diagram.
图6是采用时域有限差分法仿真的对应于图5a、5b中的光子晶体滤波器的透过图，其中点状线的是无反射腔的光子晶体滤波器的透过曲线，虚线的是有反射腔的光子晶体滤波器的透过曲线。Fig. 6 is the transmission diagram corresponding to the photonic crystal filter in Figs. Transmission curve of photonic crystal filter with reflective cavity.
图7是对应图6中含有反射腔的光子晶体滤波器的时域稳态响应图。Fig. 7 is a time-domain steady-state response graph corresponding to the photonic crystal filter containing the reflective cavity in Fig. 6 .
具体实施方式Detailed ways
以下结合附图实施例对本发明作进一步详细描述。The present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments.
图1是本发明实施例的带有反射腔的光子晶体滤波器结构，包括二维光子晶体1，优选地，为正方晶格光子晶体，该二维光子晶体1上具有水平输入波导A，水平输出波导B和垂直输出波导C，该水平输入波导A和水平输出波导B为正方晶格光子晶体中去掉一排水平的介质柱形成水平波导进而形成，该垂直输出波导C为正方晶格光子晶体中从水平波导的中心开始向上去掉一排垂直的水平介质柱形成。即该正方晶格光子晶体中去掉一排水平的介质柱形成水平波导，和从该水平波导中间开始向上去掉一排垂直的介质柱形成垂直波导，该去掉的一排垂直波导即为垂直输出波导C，垂直输出波导C与水平的波导相交位置的一侧为水平输入波导A，另一侧为水平输出波导B。该缺陷腔2位于垂直输出波导C内与水平输入波导A相邻的位置，该反射腔3位于水平输出波导B内与该垂直输出波导C相邻。Fig. 1 is a photonic crystal filter structure with a reflective cavity according to an embodiment of the present invention, including a two-dimensional photonic crystal 1, preferably a square lattice photonic crystal, with a horizontal input waveguide A on the two-dimensional photonic crystal 1, and a horizontal Output waveguide B and vertical output waveguide C, the horizontal input waveguide A and horizontal output waveguide B are formed by removing a row of horizontal dielectric columns from a square lattice photonic crystal to form a horizontal waveguide, and the vertical output waveguide C is a square lattice photonic crystal It is formed by removing a row of vertical horizontal dielectric columns upward from the center of the horizontal waveguide. That is, remove a row of horizontal dielectric columns from the square lattice photonic crystal to form a horizontal waveguide, and remove a row of vertical dielectric columns from the middle of the horizontal waveguide to form a vertical waveguide, and the removed row of vertical waveguides is the vertical output waveguide C, the horizontal input waveguide A is on one side of the intersection of the vertical output waveguide C and the horizontal waveguide, and the horizontal output waveguide B is on the other side. The defect cavity 2 is located in the vertical output waveguide C adjacent to the horizontal input waveguide A, and the reflection cavity 3 is located in the horizontal output waveguide B adjacent to the vertical output waveguide C.
其中正方晶格光子晶体的晶格常数为a＝620nm，是沿X-Z平面呈正方形周期性分布的介质柱光子晶体，介质柱半径r＝0.21a，介质柱是Ge33Sb10Se57硫系玻璃基质，折射率为n＝2.65，在1550nm附近的三阶非线性折射率系数为1.3×10-17m2/W，非线性吸收系数为1.6×10-12m/W，其非线性是石英材料的590倍。背景为空气，折射率为1。缺陷腔2位于垂直输出波导C内临近水平输入波导A和垂直输出波导C的交界处，反射腔3位于水平输出波导B内临近水平输入波导A和水平输出波导B的交界处。缺陷腔2和反射腔3均由5个排列成一行的介质柱构成，包括位于中心介质柱，其余4个为正常介质柱，分别两两位于中心介质柱两侧。其中缺陷腔2的中心介质柱半径为0.35a，其余四个介质柱半径为0.21a。反射腔3的5个介质柱中，中心介质柱半径为0.4a，其余四个介质柱半径为0.21a。水平输入波导A、水平输出波导B和垂直输出波导C呈垂直关系，信号光从水平输入波导A一侧输入，从垂直输出波导B输出。并且该缺陷腔2和反射腔3的介质柱的位置与光子晶体中的介质柱的位置相匹配，即缺陷腔、反射腔中的介质柱的中心与正方晶格光子晶体中的介质柱的中心均相应地对齐。即介质柱的中心位置不移动。Among them, the lattice constant of the square lattice photonic crystal is a=620nm, and it is a photonic crystal of dielectric pillars distributed periodically along the XZ plane in a square shape. The radius of the dielectric pillars is r=0.21a, and the dielectric pillars are Ge 33 Sb 10 Se 57 chalcogenide glass The matrix has a refractive index of n=2.65, the third-order nonlinear refractive index coefficient near 1550nm is 1.3×10 -17 m 2 /W, and the nonlinear absorption coefficient is 1.6×10 -12 m/W, and its nonlinearity is that of quartz 590 times the material. The background is air with a refractive index of 1. The defect cavity 2 is located in the vertical output waveguide C near the junction of the horizontal input waveguide A and the vertical output waveguide C, and the reflection cavity 3 is located in the horizontal output waveguide B near the junction of the horizontal input waveguide A and the horizontal output waveguide B. Both the defect cavity 2 and the reflective cavity 3 are composed of 5 dielectric columns arranged in a row, including the central dielectric column, and the remaining 4 are normal dielectric columns, located two by two on both sides of the central dielectric column. The radius of the central dielectric column of defect cavity 2 is 0.35a, and the radius of the other four dielectric columns is 0.21a. Among the five dielectric pillars in the reflection cavity 3, the central dielectric pillar has a radius of 0.4a, and the other four dielectric pillars have a radius of 0.21a. The horizontal input waveguide A, the horizontal output waveguide B and the vertical output waveguide C are in a vertical relationship, and the signal light is input from the side of the horizontal input waveguide A and output from the vertical output waveguide B. And the position of the dielectric column of the defect cavity 2 and the reflective cavity 3 matches the position of the dielectric column in the photonic crystal, that is, the center of the dielectric column in the defect cavity and the reflective cavity and the center of the dielectric column in the square lattice photonic crystal are aligned accordingly. That is, the center position of the medium column does not move.
本发明的技术方案是基于二维光子晶体所具有的光子带隙特性和光子晶体微腔的局域特性，实现光子晶体滤波器滤波的功能。上述光子晶体滤波器的基本原理在于：二维光子晶体提供一个具有较宽的光子带隙，波长落在该光子带隙中的光波将无法在该光子晶体中传播。如图2所示，是对TM模式下，二维正方晶格光子晶体的介质柱半径和带隙宽度的关系进行扫描探测得到的带隙分布图，当介质柱半径小于0.11a或大于0.42a时，光子晶体没有带隙；当介质柱半径从0.11a开始，光子晶体带隙的宽度随着半径的增大而增大，当介质柱半径增大到0.21a时，带隙宽度达到最大，最大带隙的归一化频率(a/λ)为0.352-0.449，此后，随着介质柱半径的增大，带隙宽度逐渐减小，当介质柱半径大于0.42a时，带隙消失，由此，本发明选择带隙宽度最大时的光子晶体介质柱半径大小，为0.21a。图3所示是介质柱半径为0.21a时完美光子晶体的带隙图，斜线部分为光子带隙，对应归一化频率a/λ＝ωa/2πc，其中λ为真空中的波长，ω为光的角频率，c为真空中的光速。该结构具有两部分带隙，较窄的带隙归一化频率(a/λ)为0.81-0.82，该带隙宽度太窄，引入缺陷模式比较困难，所以主要考虑下面宽度更宽的带隙，对应的归一化频率(a/λ)为0.352-0.449，中心归一化频率为0.4，与图2中的结果一致。The technical scheme of the invention is based on the photonic bandgap characteristic of the two-dimensional photonic crystal and the local characteristic of the photonic crystal microcavity, so as to realize the filtering function of the photonic crystal filter. The basic principle of the above-mentioned photonic crystal filter is that the two-dimensional photonic crystal provides a wide photonic band gap, and light waves whose wavelengths fall within the photonic band gap cannot propagate in the photonic crystal. As shown in Figure 2, it is the bandgap distribution diagram obtained by scanning and detecting the relationship between the dielectric column radius and the bandgap width of the two-dimensional square lattice photonic crystal in TM mode. When the dielectric column radius is less than 0.11a or greater than 0.42a , the photonic crystal has no band gap; when the dielectric cylinder radius starts from 0.11a, the width of the photonic crystal band gap increases with the increase of the radius, and when the dielectric cylinder radius increases to 0.21a, the band gap width reaches the maximum, The normalized frequency (a/λ) of the maximum bandgap is 0.352-0.449. After that, as the radius of the dielectric column increases, the bandgap width gradually decreases. When the radius of the dielectric column is greater than 0.42a, the bandgap disappears. Therefore, the present invention selects the radius of the photonic crystal dielectric column when the bandgap width is the largest, which is 0.21a. Figure 3 shows the bandgap diagram of a perfect photonic crystal when the radius of the dielectric cylinder is 0.21a, the oblique line part is the photonic bandgap, corresponding to the normalized frequency a/λ=ωa/2πc, where λ is the wavelength in vacuum, ω is the angular frequency of light, and c is the speed of light in vacuum. The structure has two parts of bandgap, and the normalized frequency (a/λ) of the narrower bandgap is 0.81-0.82. The width of the bandgap is too narrow, and it is difficult to introduce defect modes, so the wider bandgap below is mainly considered. , the corresponding normalized frequency (a/λ) is 0.352-0.449, and the center normalized frequency is 0.4, which is consistent with the results in Figure 2.
通过引入线缺陷，线缺陷的作用相当于波导，即在光子带隙中引入了某种缺陷态，符合缺陷频率的光波可以在该波导中传播，图4为含有一波导时光子晶体的波导色散图，归一化频率0.4处波导存在一个模式，为获得谐振波长在1550nm，根据公式f＝a/λ，我们选择光子晶体晶格常数a＝620nm。本发明设计了如图1中的缺陷腔2和反射腔3，符合微腔谐振频率的光子将被局域进微腔位置，所述的光子晶体微腔具有很高的品质因子，可以很好地存储符合谐振频率的光波的能量。本发明的主要工作是调节缺陷腔的中心介质柱半径，以使得谐振波长在1550nm，且缺陷腔耦合效率高，经过一系列的仿真计算，当中心介质柱半径为0.35a，其余四个介质柱半径为0.21a时，该缺陷腔的谐振波长为1550nm且耦合效率较高，满足滤波器的设计要求。By introducing a line defect, the line defect acts as a waveguide, that is, a certain defect state is introduced into the photonic band gap, and the light wave that matches the defect frequency can propagate in the waveguide. Figure 4 shows the waveguide dispersion of a photonic crystal with a waveguide In the figure, there is a mode in the waveguide at the normalized frequency of 0.4. In order to obtain the resonance wavelength at 1550nm, according to the formula f=a/λ, we choose the photonic crystal lattice constant a=620nm. The present invention has designed defect cavity 2 and reflection cavity 3 in Fig. 1, and the photon that accords with microcavity resonant frequency will be localized into microcavity position, and described photonic crystal microcavity has very high quality factor, can be very good Store the energy of light waves that match the resonant frequency efficiently. The main work of the present invention is to adjust the radius of the central dielectric column of the defect cavity so that the resonance wavelength is 1550nm, and the coupling efficiency of the defect cavity is high. After a series of simulation calculations, when the radius of the central dielectric column is 0.35a, the remaining four dielectric columns When the radius is 0.21a, the resonance wavelength of the defect cavity is 1550nm and the coupling efficiency is high, which meets the design requirements of the filter.
通过设计反射腔3来堵住水平输出波导，以求加强缺陷腔2对光的耦合效率，减少滤波过程中的损耗，从而提高缺陷腔的Q值和滤波性能，理想情况是反射腔能反射除了其自身谐振波长以外所有的波，透过其谐振波长的波，设计的反射腔3的内部由5个介质柱组成，调节反射腔3的中心介质柱半径，经过一系列的仿真计算，得到当中心介质柱半径为0.4a，中心介质柱两侧分别含有两个正常介质柱的情况下，即反射腔的谐振波长为1700nm时，不会造成光波的损耗，该滤波器的性能最优。在水平输入波导A的外侧端处设置一信号光，在垂直输出波导C的外侧端处设置一监视器。所述的信号光以高斯波形式从水平输入波导A输入，在垂直输出波导C中与缺陷腔2发生耦合作用，当光波到达缺陷腔2时，由于微腔的局域选频作用，只有符合该缺陷腔谐振波长为1550nm的光波才能发生共振，耦合进入缺陷腔2，并从垂直输出波导C输出。By designing the reflective cavity 3 to block the horizontal output waveguide, in order to enhance the coupling efficiency of the defective cavity 2 to light and reduce the loss in the filtering process, thereby improving the Q value and filtering performance of the defective cavity, the ideal situation is that the reflective cavity can reflect All waves other than its own resonant wavelength pass through the wave of its resonant wavelength. The interior of the designed reflective cavity 3 is composed of 5 dielectric columns. Adjust the radius of the central dielectric column of the reflective cavity 3. After a series of simulation calculations, the current The radius of the central dielectric cylinder is 0.4a, and there are two normal dielectric cylinders on both sides of the central dielectric cylinder, that is, when the resonant wavelength of the reflective cavity is 1700nm, no loss of light waves will be caused, and the performance of the filter is optimal. A signal light is provided at the outer end of the horizontal input waveguide A, and a monitor is provided at the outer end of the vertical output waveguide C. The signal light is input from the horizontal input waveguide A in the form of a Gaussian wave, and couples with the defect cavity 2 in the vertical output waveguide C. When the light wave reaches the defect cavity 2, due to the local frequency selection of the microcavity, only the Only light waves with a resonant wavelength of 1550nm in the defect cavity can resonate, couple into the defect cavity 2, and output from the vertical output waveguide C.
图5a为不含有反射腔3的滤波器达到稳态时的场强分布图，图5b为含有反射腔3的滤波器达到稳态时的场强分布图。图6为对应于图5的透过图，分别显示了具有反射腔和不具有反射腔的透过率。如图5a、5b、6所示，该带有反射腔的光子晶体滤波器实现了对波长为1550nm的光波的滤波，当含有反射腔3时光子晶体滤波器的透过率为0.98；当不含有反射腔3，即反射腔3处是一波导时，光子晶体滤波器的透过率低于0.3，反射腔3堵住了水平输出波导，使得大部分光波被反射回水平输入波导。根据图6中含有反射腔的光子晶体滤波器的透过图所示，根据公式Q＝λ/Δλ，其中λ是共振模的中心波长，Δλ是共振模的半峰值带宽，计算缺陷腔的品质因子，计算可得此缺陷腔的品质因子Q值达到7500，说明缺陷腔具有很好的存储能力。图7为对应于图5(b)，即具有反射腔3的光子晶体滤波器的时域稳态响应图，再次验证了含有反射腔的光子晶体滤波器的垂直输出端具有很高的透过率。FIG. 5 a is a field intensity distribution diagram when the filter without the reflection cavity 3 reaches a steady state, and FIG. 5 b is a field intensity distribution diagram when the filter with the reflection cavity 3 reaches a steady state. Fig. 6 is a transmission diagram corresponding to Fig. 5, showing the transmittance with and without the reflection cavity, respectively. As shown in Figures 5a, 5b, and 6, the photonic crystal filter with a reflective cavity can filter light waves with a wavelength of 1550nm. When the reflective cavity 3 is included, the transmittance of the photonic crystal filter is 0.98; The reflective cavity 3 is included, that is, when the reflective cavity 3 is a waveguide, the transmittance of the photonic crystal filter is lower than 0.3, and the reflective cavity 3 blocks the horizontal output waveguide, so that most of the light waves are reflected back to the horizontal input waveguide. According to the transmission diagram of the photonic crystal filter containing the reflective cavity in Figure 6, according to the formula Q=λ/Δλ, where λ is the central wavelength of the resonant mode, and Δλ is the half-peak bandwidth of the resonant mode, the quality of the defect cavity is calculated Factor, the quality factor Q value of this defect cavity can be calculated to reach 7500, indicating that the defect cavity has a good storage capacity. Fig. 7 is corresponding to Fig. 5 (b), promptly has the photonic crystal filter time domain steady-state response figure of reflective cavity 3, has again verified that the vertical output end of the photonic crystal filter containing reflective cavity has very high transmittance Rate.
本发明为了适应通信波段的发展，所提的滤波器工作在1550nm波长，具有实际应用价值。而且本发明实施例中的光子晶体滤波器，通过调节缺陷腔和反射腔的中心介质柱半径，减少波导和微腔的散射损耗，使得该滤波器达到最佳滤波效果，透过率高，Q值也高。In order to adapt to the development of communication bands, the proposed filter works at 1550nm wavelength and has practical application value. Moreover, the photonic crystal filter in the embodiment of the present invention reduces the scattering loss of the waveguide and the microcavity by adjusting the radius of the central dielectric column of the defect cavity and the reflection cavity, so that the filter achieves the best filtering effect, high transmittance, and Q The value is also high.
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