复式二维微结构的计算机模拟
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摘要
如何制作由2套或以上简单晶格微结构嵌套而成的复式微结构是近年研究热点之一。利用计算机编程模拟单步全息干涉法产生复式二维微结构,并研究了复式微结构元胞形状的演变规律。研究表明,该新型干涉法仅需最低限度的4束相干光,从而可避免引入更多干涉光束导致的多余倒空间基矢的干扰。4束光的波矢差可产生4套简单晶格,它们彼此嵌套形成复式三角晶格微结构;利用计算机模拟研究了起关键作用的第四束光的偏振和初始相位的影响,实现了空心椭圆、双长条状、双水滴状等丰富、独特形状的元胞图案。将计算机模拟与单步全息干涉法结合起来研究各种复式微结构的产生和演变规律,具有快速、高效、灵活等优点,对指导复式微结构的理论和实验研究具有重要意义。
Realization of complex optical microstructures consisting of two or more sets of simple microstructures has been a hot topic recently. In this paper, the realization mechanism and the evolution law of the unicell of complex microstructures generated by single-step holographic interferometry are studied by computer simulations. Study restults show that the proposed single-step interferometry requires only a minimum of four coherent beams, which avoids the interference from extra basic vectors in k-space. The wave-vector differences among the four beams produce four sets of simple lattices, which are nested with each other to form a complex triangular microstructure. What is more, the fourth beam is found to play a key role in the fabrication of complex optical microstructures, and the influences of its polarization and initial phase are studied by computer simulations. As a result, rich and unique shaped patterns of unitcells, such as a hollow ellipse, a double strip, and a double drop, are achieved. It is fast, efficient, and flexible to study the generation and evolution mechanism of various complex microstructures by combining computer simulation with single-step holographic interferometry, holding great promise in theoretical and experimental researches of complex microstructures.
Realization of complex optical microstructures consisting of two or more sets of simple microstructures has been a hot topic recently. In this paper, the realization mechanism and the evolution law of the unicell of complex microstructures generated by single-step holographic interferometry are studied by computer simulations. Study restults show that the proposed single-step interferometry requires only a minimum of four coherent beams, which avoids the interference from extra basic vectors in k-space. The wave-vector differences among the four beams produce four sets of simple lattices, which are nested with each other to form a complex triangular microstructure. What is more, the fourth beam is found to play a key role in the fabrication of complex optical microstructures, and the influences of its polarization and initial phase are studied by computer simulations. As a result, rich and unique shaped patterns of unitcells, such as a hollow ellipse, a double strip, and a double drop, are achieved. It is fast, efficient, and flexible to study the generation and evolution mechanism of various complex microstructures by combining computer simulation with single-step holographic interferometry, holding great promise in theoretical and experimental researches of complex microstructures.
引文
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[13]戚志明,张凡.基于激光全息法的复式光子晶体计算机仿真研究[J].沈阳师范大学学报(自然科学版),2018,36(2):140-148.
[14]MENEZES J W,CESCATO L,DE CARVALHO E J,et al.Recording different geometries of 2D hexagonal photonic crystals by choosing the phase between two-beam interference exposures[J].Opt Express,2006,14(19):8578-8883.
[15]VARADARAJAN V,SHEKAR C.Fabrication of two-dimensional photonic quasi-crystals with 18-and 36-fold by holography for solar application[J].Iet Optoelectronics,2016,10(6):217-220.
[16]MAO W D,ZHONG Y C,DONG J W,et al.Crystallography of two-dimensional photonic lattices formed by holography of three noncoplanar beams[J].J Opt Soc Am B,2005,22(5):1085-1091.
[ 2 ]YABLONOVITCH E.Inhibited spontaneous emission in solid-state physics and electronics[J].Phys Rev Lett,1987,58(20):2059-2062.
[ 3 ]JOHN S.Strong localization of photons in certain disordered dielectric superlattices[J].Phys Rev Lett,1987,58(23):2486-2489.
[ 4 ]刘紫雁,唐吉玉,刘娟,等.介质环型三重晶格光子晶体的带隙[J].激光与光电子学进展,2017,54(11):111603.
[ 5 ]陈敏,万婷,王征,等.宽绝对禁带的一维磁性光子晶体结构[J].物理学报,2017,66(1):014204.
[ 6 ]冯志芳,王义全,张道中,等.利用复式原胞实现二维光子晶体中的完全带隙[J].北京工业大学学报,2004,30(3):390-392.
[ 7 ]YABLONOVITCH E,GMITTER T J,LEUNG K M.Photonic band structure:the fcc case employing non-spherical atoms[J].Phys Rev Lett,1991,67(17):2295-2298.
[ 8 ]JIA T,BABA M,SUZUKI M,et al.Fabrication of two-dimensional periodic nanostructures by two-beam interference of femtosecond pulses[J].Opt Express,2008,16(3):1874-1878.
[ 9 ]JIN C J,MCLACHLAN M A,MCCOMB D W,et al.Template-assisted growth of nominally cubic(100)-oriented three-dimensional crack-free photonic crystals[J].Nano Lett,2005,5(12):2646-2650.
[10]MAO W D,ZHONG Y C,DONG J W,et al.Crystallography of two-dimensional photonic lattices formed by holography of three noncoplanar beams[J].J Opt Soc Am B,2005,22(5):1085-1091.
[11]吕浩,尤凯,兰燕燕,等.非对称光束干涉制备二维微纳光子结构研究[J].物理学报,2017,66(21):217801.
[12]王霞,吕浩,赵秋玲,等.激光全息光刻技术在微纳光子结构制备中的应用进展[J].光谱学与光谱分析,2016,36(11):3461-3469.
[13]戚志明,张凡.基于激光全息法的复式光子晶体计算机仿真研究[J].沈阳师范大学学报(自然科学版),2018,36(2):140-148.
[14]MENEZES J W,CESCATO L,DE CARVALHO E J,et al.Recording different geometries of 2D hexagonal photonic crystals by choosing the phase between two-beam interference exposures[J].Opt Express,2006,14(19):8578-8883.
[15]VARADARAJAN V,SHEKAR C.Fabrication of two-dimensional photonic quasi-crystals with 18-and 36-fold by holography for solar application[J].Iet Optoelectronics,2016,10(6):217-220.
[16]MAO W D,ZHONG Y C,DONG J W,et al.Crystallography of two-dimensional photonic lattices formed by holography of three noncoplanar beams[J].J Opt Soc Am B,2005,22(5):1085-1091.