超平坦色散光子晶体光纤设计方法

114 浏览量更新于2024-08-27 收藏 2.07MB PDF 举报

"这篇文章是关于设计具有超平坦色散的光子晶体光纤(Photonic Crystal Fibers, PCFs)的方法，研究了不同形状的光子晶体光纤如六边形（包括1孔缺失和7孔缺失）、圆形、方形和八边形的空气孔直径对色散的影响。" 本文介绍了一种简单的设计流程，用于创建具有超平坦色散特性的光子晶体光纤。色散在光纤通信中是一个关键参数，因为它影响光信号在光纤中的传播速度，可能导致信号失真。传统光纤的色散通常需要通过补偿技术来管理，而超平坦色散的光子晶体光纤则可以提供更稳定的传输性能。光子晶体光纤是一种特殊的光纤结构，其内部由一系列有序排列的空气孔构成，这些孔在纤芯和包层之间形成光的限制路径。这种设计使得光不再沿直线传播，而是通过光子晶体结构的模式引导，从而实现对色散的有效控制。设计过程中，只需要调整四个参数，这大大减少了计算时间和所需的空气孔数量。作者通过仿真研究了不同类型的光子晶体光纤，包括： 1. 六边形光子晶体光纤（H-PCF）：研究了1孔缺失和7孔缺失的结构，这两种结构的变化可以影响光纤的模式分布和色散特性。 2. 圆形光子晶体光纤（C-PCF）：这种光纤的对称性可能使其具有特定的色散特性。 3. 方形光子晶体光纤（S-PCF）：方形孔的排列可能导致不同的光传播模式，影响色散行为。 4. 八边形光子晶体光纤（O-PCF）：多边形孔的结构可能引入更复杂的模式耦合，进一步优化色散平坦度。通过对这些参数的精细调控，可以实现光子晶体光纤色散的精确控制，从而设计出在宽频带内具有近零或超平坦色散的光纤。这对于长距离通信、高速数据传输和光学传感等应用具有重要意义，因为它们能够减少信号失真，提高系统性能。此外，这项工作还强调了仿真在设计过程中的作用，通过模拟不同空气孔直径对光纤性能的影响，可以快速探索最佳设计参数。这种方法对于推动光子晶体光纤技术的发展，尤其是在实现高效、低损耗的光通信系统方面，具有重要的理论和实践价值。

COL 9(5), 050603(2011) CHINESE OPTICS LETTERS May 10, 2011

Design procedure for photonic crystal ﬁbers with

ultra-ﬂattened chromatic dispersion

Huizhen Xu (徐徐徐惠惠惠真真真)

1,2∗

, Jian Wu (伍伍伍剑剑剑)

, Yitang Dai (戴戴戴一一一堂堂堂)

Cong Xu (徐徐徐聪聪聪)

, and Jintong Lin (林林林金金金桐桐桐)

Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts

and Telecommunications), Ministry of Education, Beijing 100876, China

College of Science, Jimei University, Xiamen 361021, China

∗

Corresp onding author: elimshee@gmail.com

Received November 1, 2010; accepted December 14, 2010; posted online April 18, 2011

A simple design procedure is used to generate photonic crystal ﬁbers (PCFs) with ultra-ﬂattened chromatic

disp ersion. Only four parameters are required, which not only considerably saves the computing time,

but also distinctly reduces the air-hole quantity. The inﬂuence of the air-hole diameters of each ring of

hexagonal PCFs (H-PCF, including 1-hole-missing and 7-hole-missing H-PCFs), circular PCFs (C-PCF),

square PCFs (S-PCF), and o ctagonal PCFs (O-PCF) is investigated through simulations. Results show

that regardless of the cross section structures of the PCFs, the 1st ring air-hole diameter has the greatest

inﬂuence on the dispersion curve followed by that of the 2nd ring. The 3rd ring diameter only aﬀects

the dispersion curve within longer wavelengths, whereas the 4th and 5th rings have almost no inﬂuence

on the dispersion curve. The hole-to-hole pitch between rings changes the dispersion curve as a whole.

Based on the simulation results, a procedure is proposed to design PCFs with ultra-ﬂattened dispersion.

Through the adjustment of air-hole diameters of the inner three rings and hole-to-hole pitch, a ﬂattened

disp ersion of 0±0.5 ps/(nm·km) within a wavelength range of 1.239 – 2.083 µm for 5-ring 1-hole-missing

H-PCF, 1.248 – 1.992 µm for 5-ring C-PCF, 1.237 – 2.21 µm for 5-ring S-PCF, 1.149 – 1.926 µm for 5-ring

O-PCF, and 1.294 – 1.663 µm for 7-hole-missing H-PCF is achieved.

OCIS codes: 060.2280, 220.4000, 060.4005.

doi: 10.3788/COL201109.050603.

Since photonic crystal ﬁbers (PCFs) were ﬁrst reported

in 1996

[1]

, diﬀerent kinds of PCF cross section structures,

such as hexagonal PCF (H-PCF)

[2]

, octagonal PCF (O-

PCF)

[3]

, square PCF (S-PCF)

[4]

, and so on, have been

developed. The dispersion properties of PCFs are sig-

niﬁcantly diﬀerent from those of conventional ﬁbers be-

cause the cross section structures consisting of an array

of air holes allow for ﬂexible tailoring of the dispersion

curves, which cannot be realized in conventional opti-

cal ﬁbers. Control of the chromatic dispersion in PCFs

is of huge importance for applications in optical ﬁber

communications

[5]

, dispersion compensation, supercon-

tinuum generation

[6,7]

, and so on.

Many PCF designs have been proposed to achieve

ultra-ﬂattened chromatic dispersion. In Ref. [8], the

chromatic dispersion in conventional PCFs was con-

trolled by changing the air holes, which are arrayed in

a regular hexagonal structure with the same diameters

in the cladding region. A PCF with a dispersion of

0±0.6 ps/(nm·km) from 1.24 to 1.44 µm was realized.

Because the air-ﬁlling fraction is too small to realize

ultra-ﬂattened dispersion, more than 20 rings of air holes

(up to 455 holes) are required to signiﬁcantly reduce the

conﬁnement loss, thereby causing extreme complexity in

the manufacturing process. Moreover, the achievement of

this kind (same air-hole size) of ultra-ﬂattened dispersion

over such a large wavelength range involves highly accu-

rate control of air-hole diameter and pitch

[9]

. To reduce

the quantity of air holes and realize ultra-ﬂattened dis-

persion, many designs discussed in literature have the fol-

lowing characteristics: diﬀerently spaced rings of holes

[3]

and diﬀerent sizes of holes

[10]

. In Ref. [3], the authors

presented an 8-ring O-PCF. After optimization of the di-

ameters of the 1st ring, the outer seven rings, and the air-

hole pitch, PCFs with a dispersion of 0± 0.5 ps/(nm·km)

in a wavelength range of 1.46–1.66 µm were obtained. In

Ref. [10], a new design with four or ﬁve rings of gradually

increasing air-hole diameters for each ring was proposed

for achieving ultra-ﬂattened dispersion. Through opti-

mization, a four-ring PCF with a ﬂattened dispersion of

0±0.5 ps/(nm·km) for a wavelength of 1.19 – 1.69 µm,

and a ﬁve-ring PCF with a ﬂattened dispersion of 0±0.4

ps/(nm·km) for a wavelength 1.23 – 1.72 µm were pro-

posed. This design considerably reduces the ring number

of air holes, but the design procedure becomes compli-

cated because several geometrical parameters, ﬁve (four

air-hole diameters and one pitch) for the four-ring PCF

and six (ﬁve air-hole diameters and one pitch) for the

ﬁve-ring type, are needed to simultaneously optimize dis-

persion properties. Several studies have already used the

genetic algorithm to determine global minima for ultra-

ﬂattened design

[11,12]

. However, the genetic algorithm

entails considerable computing time because it requires

numerous iterations. In Ref. [12], for example, the algo-

rithm required 40 individuals and 13 generations.

In this letter, a simple procedure for diﬀerent kinds

of PCFs is presented to obtain ultra-ﬂattened disper-

sion. This design procedure requires only four parame-

ters (three air-hole diameters and one hole-to-hole pitch),

considerably saving the computing time. In addition,

it requires only one array layout cross section structure

and four or ﬁve rings of air holes, tremendously reducing

the complexity in manufacturing process. This design

procedure is suitable not only for 1-hole-missing PCFs

1671-7694/2011/050603(4) 050603-1

° 2011 Chinese Optics Letters

下载后可阅读完整内容，剩余3页未读，立即下载

weixin_38655347

粉丝: 9
资源: 919

超平坦色散光子晶体光纤设计方法

Photonic Crystal Fibers---Properties and Applications

Engineering ultra-flattened-dispersion photonic crystal fibers with uniform holes by rotations of inner rings

光子晶体滤波器matlab

什么是PCSEL激光器？

假设一个正方晶格的二维光子晶体，晶格常数为0.5微米，有四个圆形介质柱，直径都为0.1微米，介质柱中心距离晶格中心的距离是0.18微米，用python计算晶体哈密顿量得到能带图

一维光子晶体matlab

使用matlab求解二维声子晶体能带结构的代码

将自然光转换成线偏振光的金属超表面，给出相关文献

comsol仿真pcf spr

硅波导的发展历史，请给出参考文献。

最新资源