[1] [1] 沈威， 徐许， 高宏伟， 等. 氮化镓基异质结构光子晶体微腔特性研究［J］. 光学 精密工程， 2022， 30（24）： 3097-3104. doi: 10.37188/ope.20223024.3097SHENW， XUX， GAOH W， et al. Study on the characteristics of Gallium Nitride based hetero-structure photonic crystal micro-cavity［J］. Opt. Precision Eng.， 2022， 30（24）： 3097-3104.（in Chinese）. doi: 10.37188/ope.20223024.3097

[2] [2] 王亚捷， 侯尚林， 雷景丽. C+L波段低损耗色散补偿19芯光子晶体光纤设计［J］. 光学 精密工程， 2022， 30（22）： 2860-2868. doi: 10.37188/ope.20223022.2860WANGY J， HOUS L， LEIJ L. Design of 19-core photonic crystal fiber with low loss dispersion compensation in C+L band［J］. Opt. Precision Eng.， 2022， 30（22）： 2860-2868.（in Chinese）. doi: 10.37188/ope.20223022.2860

[3] M J F DIGONNET, H K KIM, G S KINO et al. Understanding air-core photonic-bandgap fibers： analogy to conventional fibers. Journal of Lightwave Technology, 23, 4169-4177(2005).

[4] TP HANSEN, J BROENG, AO BJARKLEV. Macrobending loss in air-guiding photonic crystal fibres, 484-485(2003).

[5] X B XU, Z C ZHANG, Z H ZHANG et al. Investigation of residual core ellipticity induced nonreciprocity in air-core photonic bandgap fiber optical gyroscope. Optics Express, 22, 27228-27235(2014).

[6] [6] 刘旭， 刘波， 饶云江. 基于单光子探测的光子计数光时域反射仪研究进展［J］. 光学 精密工程， 2023， 31（2）： 168-182. doi: 10.37188/OPE.20233102.0168LIUX， LIUB， RAOY J. Research progress of photon counting optical time domain reflectometry based on single photon detection［J］. Opt. Precision Eng.， 2023， 31（2）： 168-182.（in Chinese）. doi: 10.37188/OPE.20233102.0168

[7] E N FOKOUA, F POLETTI, D J RICHARDSON. Analysis of light scattering from surface roughness in hollow-core photonic bandgap fibers. Optics Express, 20, 20980-20991(2012).

[8] N F E RODRIGUE. Ultralow Loss and Wide Bandwidth Hollow-Core Photonic Bandgap Fibres for Telecom Applications(2015).

[9] V DANGUI, M J F DIGONNET, G S KINO. Modeling of the propagation loss and backscattering in air-core photonic-bandgap fibers. Journal of Lightwave Technology, 27, 3783-3789(2009).

[10] V DANGUI, M J F DIGONNET, G S KINO. A fast and accurate numerical tool to model the modal properties of photonic-bandgap fibers. Optics Express, 14, 2979(2006).

[11] E NUMKAM, F POLETTI, D J RICHARDSON. Dipole radiation model for surface roughness scattering in Hollow-Core fibers, 1-3(2012).

[12] J D JACKSON. Classical Electrodynamics(1998).

[13] J D JOANNOPOULOS. Photonic Crystals： Molding the Flow of Light(2008).

[14] B DEBORD, F AMRANI, L VINCETTI et al. Hollow-core fiber technology： the rising of “gas photonics”. Fibers, 7, 16(2019).

[15] K ZAMANI AGHAIE, M J F DIGONNET, S H FAN. Experimental assessment of the accuracy of an advanced photonic-bandgap-fiber model. Journal of Lightwave Technology, 31, 1015-1022(2013).

[16] A PEYRILLOUX, S FÉVRIER, J MARCOU et al. Comparison between the finite element method， the localized function method and a novel equivalent averaged index method for modelling photonic crystal fibres. Journal of Optics A： Pure and Applied Optics, 4, 257-262(2002).

[17] A CUCINOTTA, S SELLERI, L VINCETTI et al. Perturbation analysis of dispersion properties in photonic crystal fibers through the finite element method. Journal of Lightwave Technology, 20, 1433-1442(2002).

[18] P ROBERTS, F COUNY, H SABERT et al. Ultimate low loss of hollow-core photonic crystal fibres. Optics Express, 13, 236-244(2005).

[19] J JACKLE, K KAWASAKI. Intrinsic roughness of glass surfaces. Journal of Physics： Condensed Matter, 7, 4351-4358(1995).

[20] R BRÜCKNER. Properties and structure of vitreous silica. I. Journal of Non-Crystalline Solids, 5, 123-175(1970).

[21] N P BANSAL, R H DOREMUS. Handbook of Glass Properties(1986).

[22] M C PHAN-HUY, J M MOISON, J A LEVENSON et al. Surface roughness and light scattering in a small effective area microstructured fiber. Journal of Lightwave Technology, 27, 1597-1604(2009).

[23] O BENNINGSHOF, D NGUYEN, M DADEMA et al. Characterization of the channel walls roughness in photonic crystal fibers. Physica E： Low-Dimensional Systems and Nanostructures, 66, 33-39(2015).

[24] [24] 陈建超. 超精密加工表面粗糙度测量方法对比及功率谱密度评价［D］. 哈尔滨： 哈尔滨工业大学， 2009.CHENJ C. Comparison of Ultra-Precision Machined Surface Roughness Measurement Methods and Power Spectral Density Characterization［D］.Harbin： Harbin Institute of Technology， 2009. （in Chinese）

[25] [25] 姚天任， 江太辉著. 数字信号处理［M］. 2版. 武汉： 华中理工大学出版社， 2000.YAOT R， JIANGT H. Digital Signal Processing［M］. Wuhan： Huazhong University of Science and Technology Press， 2000. （in Chinese）

[26] KZ AGHAIE, MJ DIGONNET, S FAN. Modeling loss and backscattering in a photonic-bandgap fiber using strong perturbation, 100-106(2013).