Fig. 1. Development of paper-cutting from art to science (From left to right: the recorded historical allusion around 1055–1021 B.C.^[1]; the improvement of paper manufacturing by Cai Lun around 105 A.D.^[4]; the earliest relic of the paper-cuts named “Flowery Horses” around 386–581 A.D.^[1]; the spread of paper to Japan during the 6^th century^[3]; graphene kirigami published in 2015^[13]). 剪纸从艺术到科学的发展(从左到右依次为《史记》典故“剪桐封弟”^[1], 又称“桐叶封弟”; 约公元105年蔡伦改进了造纸术^[4]; 中国发现的最早的剪纸文物“北朝对马团花剪纸”残片与复原图^[1]; 纸文化在公元6世纪左右传播到日本^[3]; 2015年发表的石墨烯剪纸技术^[13])

Fig. 2. (a)−(d) Illustration of several deformation stresses and corresponding examples^{[16,26,28,32,37,38]}; (b) capillary forces; (c) film residual stresses; (d) active materials induced forces; (e) illustration of the mechanically guided assembly^[39]; (f) graphene kirigami^[13]; (g) graphene origami^[40](a)−(d) 常见的形变应力产生的三种机制及其对应的实例^{[16,26,28,32,37,38]}: 从(b)到(d)依次为毛细作用力、薄膜残余应力和主动材料法; (e) 机械引导结构变形流程及结构图^[39]; (f) 石墨烯剪纸^[13]; (g)石墨烯纳米折叠和展开^[40]

Fig. 3. Illustration of the fundamentals of FIB-induced stress^[43]: (a), (b) Schematic illustration of residual stress distribution and double-layer stress model within a gold nano-film under FIB irradiation; simulated distributions of (c) gallium ion concentration and (d) vacancy density versus the depth of the nanofilm using SRIM software with ion acceleration voltage of 30 kV; (e) SEM image of a tongue-like structure after FIB global irradiation and the calculated result (Scale bars: 1 μm). 基于FIB辐照产生应力的主要机理^[43] 　(a), (b)自支撑金膜在FIB辐照下的应力分布和双层应力模型示意图; 利用SRIM软件计算得到的在加速电压为30 kV时(c)镓离子和(d)空隙的深度分布图; (e)舌型结构在FIB全局辐照后的扫描电子显微镜 (scanning electron microscopy, SEM)图像和利用(b)图中双层应力模型计算的结果(比例尺: 1 μm)

Fig. 4. (a) Schematic illustration of ion beam cutting and folding of thin film; (b)−(i) SEM images of various 3D structures prepared by FIB^{[49-52,54,55,57]}. (a)离子束剪裁、折叠悬空纳米薄膜示意图; (b)—(i) FIB制备的各种三维结构的SEM图像^{[49—52,54,55,57]}

Fig. 5. (a), (b) Composite structure (MH-VSRR) prepared by FIB and the polarization-dependent Fano resonance^[57]; (c) SEM image of 3D folded metasurface and experimentally measured transmission spectra under illumination of different circularly polarized waves^[61]; (d) SEM images of switchable 3D SRR^[59] in OFF and ON states at currents of 0 and 20 mA, respectively, and corresponding switching spectra; (e) schematic of toroidal dipole modes generated due to circulating magnetic field produced by current loops^[63]; (f) SEM image of the 3D toroidal metamaterial and the measured transmission spectra with toroidal dipole resonance dips^[63]. (a), (b)垂直开口谐振环(VSRR)与金属矩形孔组成的复合结构(MH-VSRR)阵列及其偏振相关Fano共振^[57]; (c)三维折叠超表面的SEM图像以及右旋圆偏振光(RCP)和左旋圆偏光(LCP)的透射光谱^[61]; (d)可调的三维SRR分别处于OFF和ON态时的SEM图像, 及纳米SRR阵列的开关光谱特性^[59]; (e)环形偶极子模式的示意图^[63]; (f)三维超材料SEM图片及透射图光谱^[63]

Fig. 6. Side-view SEM images of (a) rigid folding and (b) gradual bending of suspended cantilevers under local and global FIB irradiations, respectively, over the red areas ^[42]; (c) measured relationship between the cantilever folding angle and the scanning dose at different acceleration voltages^[43]; (d) SEM images of different sizes of cantilever bending under FIB global irradiation with different dose^[43]; (e) measured (dotted line) and calculated (solid line) relationship between the folding angle and the scanning dose at acceleration voltage of 30 kV^[43] (Scale bars: 1 μm). (a) FIB局域扫描红色虚线、折叠悬臂的SEM图^[42]; (b) FIB全局辐照红色虚线框内区域导致悬臂向上弯曲的SEM图^[42]; (c)测量得到的不同加速电压下悬臂梁折叠角与扫描剂量的关系^[43]; (d)不同尺寸的悬臂在不同剂量FIB全局扫描下弯曲的SEM图像^[43]; (e)测量(点线)与计算(实线)得到的在加速电压为30 kV时不同长度悬臂梁的折叠角与扫描剂量的关系^[43](比例尺: 1 μm)

Fig. 7. Tree-type nano-kirigami: (a) Schematic of tree-type system; (b)−(f) SEM images of typical examples of 3D tree-type nano-kirigami. (b), (c) Flower-like structures obtained by FIB global irradiation^[42,66]; (d), (e) side-view and top-view of vertical plates standing along one edge of the planar metallic hole arrays^[42]; (f) multilayer plate structure^[42] (Scale bars: 1 μm). “树型”纳米剪纸　(a)“树型”纳米剪纸结构示意图; (b)—(f)“树型”纳米剪纸结构SEM图像, 其中 (b), (c)为由FIB全局辐照得到的两种花瓣型结构^[42,66]; (d)−(f)为由FIB局域辐照得到结构的SEM图片, (d), (e)垂直矩形板阵列的侧视图和俯视图^[42]; (f)多层平板结构^[42](比例尺: 1 μm)

Fig. 8. Close-loop of nano-kirigami^[42,43]: (a) Illustration of the close-loop system; (b)−(d) SEM images of 3D nano-kirigami with local FIB irradiation^[42]; (e), (g), (i) camera images of the macroscopic paper kirigami; and (f), (h), (j) corresponding microscopic structures reproduced by close-loop nano-kirigami with global FIB irradiation^[43] (Scale bars: 1 μm). “闭环”纳米剪纸^[42,43] 　(a)“闭环”纳米剪纸结构示意图; (b)−(d)由FIB局域辐照下“闭环”纳米剪纸得到的三维纳米结构的SEM图像^[42]; (e), (g), (i)宏观纸质剪纸结构照片及与其对应的(f), (h), (j)通过FIB全局扫描“闭环”纳米剪纸得到的三维纳米结构的SEM图像^[43] (比例尺: 1 μm)

Fig. 9. Top-view and side-view SEM images of typical structures before and after global FIB irradiation^[43]:　(a) A twisted triple Fibonacci spiral; (b), (c) window-decoration type nanobarriers; (d) a deformable spiral; (e) a double-layer spiral structure (Scale bars: 1 μm). 各种形貌奇特的三维纳米剪纸结构在FIB全局扫描前后的顶视或侧视SEM图^[43] 　(a) 斐波那契双螺旋结构; (b), (c)窗花互连型纳米栅栏; (d)不同剂量FIB辐照前后的螺旋结构; (e)双层螺旋异质结构(比例尺: 1 μm)

Fig. 10. Feature of “closed loop” nano-kirigami^[43]: (a) SEM images of a blade structure, expandable web and four-arm windmill fabricated together after the same global FIB irradiation; (b)−(d) SEM images of different web structures (left) before and (middle) after FIB irradiation; (b) a flower-like structure; (c) a spider web–like structure; (d) an expandable web structure; the simulation results after nano-kirigami is shown on the right (Scale bars: 1 μm). “闭环”纳米剪纸的形变特性^[43] 　(a)叶片结构、可扩展网状结构和四臂风车结构在其二维前体受到相同FIB全局辐照后的SEM图像; (b)−(d) FIB全局辐照前后的二维前体和对应的三维结构以及数值模拟的应力形变结果, 其中 (b)花型结构, (c)蛛网结构, (d)可扩展网状结构(比例尺: 1 μm)

Fig. 11. Additional information from numerical simulation for the accurate prediction of structural deformation^[43]: (a), (b) Side and front view of the deformation and stress distribution of the spider web-like and the expandable web structure under the same initial stress in simulations; the different colors represent stresses of different strengths, and the red areas are subjected to the highest stress (Scale bars: 1 μm); (c) SEM image of the two web structures after the same high-dose FIB irradiation. 数值模拟对结构形变的精确预测与额外信息获取^[43] 　(a), (b)数值模拟蛛网结构和可扩展网状结构在相同FIB辐照下受力形变的侧视图和前视图, 其中不同的颜色代表受到不同强度的应力, 红色区域承受的应力最大(比例尺: 1 μm); (c)两种结构承受相同FIB扫描后的SEM图

Fig. 12. Tree-type nano-kirigami structures with Fano resonances^[57,60]: (a) SEM images of MH-VSRR^[57]; (b) measured transmission spectra of the MH-VSRR array in air and oil; (c) schematic of the unit cell of a 3D asymmetric MH-VSRR^[60]; (d) simulated transmission spectra of the asymmetric MH-VSRR array^[60]; (e) simulated transmission spectra of the VSRR with the same left arm but variable right arm as noted; (f) colormap of the simulated absorption spectra versus the height of the right arm; the calculated (dashed lines) and measured data (stars) agree very well. 具有Fano共振的“树型”纳米剪纸^[57,60] 　(a), (b)近红外波段Fano共振及超灵敏折射率传感特性^[57], 其中(a) MH-VSRR阵列结构的SEM图及(b)测得的结构在空气和折射率为1.3的油中的透射谱; (c)−(e)纳米剪纸结构中多重Fano共振间的强耦合作用^[60], 其中(c)不对称MH-VSRR单元结构图及(d)结构所对应的透射光谱, 可以看到三重Fano共振F1, F2和F3; (e)固定左臂、改变右臂高度时MH-VSRR结构透射谱; (f)结构吸收谱与右臂高度的关系图, 理论和实验数据吻合得非常好

Fig. 13. Five-fold Fano resonance with significant circular dichroism^[61]: (a) Schematic diagram of the processing of DPMM; (b), (c) SEM images of DPMM structures prepared by FIB local irradiation (Scale bars: 2 μm); (d) diagram of the relationship between CD and h₃ of simulated DPMM; (e) calculated and experimental transmission spectra for the DPMM with h₃ = 1.9 μm and y-polarized incidence; (f) experimental CD spectra of the DPMM in (e). 具有超强圆二色性的五重Fano共振^[61] 　(a)基于竖直金属板的超材料(DPMM)结构加工示意图; (b), (c) FIB局域扫描制备的DPMM阵列结构的侧视和顶视SEM图像(比例尺: 2 μm); (d)模拟的DPMM阵列圆二色谱与h₃的关系图; (e) h₃取1.9 μm, y偏振入射时计算和实验得到的透射谱; (f)实验测量的h₃取1.9 μm时的CD谱

Fig. 14. Close-loop nano-kirigami with giant optical chirality^[43]: (a) Schematic of a vertical helix array, horizontal cross-linked helices and a 3D pinwheel array; (b), (c) illustrations of the response to the electric field (E_x) and magnetic field (H_y) of incident light for the left-handed (LH) and right-handed (RH) twisted pinwheels, respectively; (d), (e) SEM images of LH pinwheel arrays (e) before and (d) after global FIB irradiation; lattice period: 1.45 μm; (f) SEM images of the LH and RH pinwheel structure; (g) measured CD in transmission versus wavelength for 2D LH, 3D LH, and 3D RH pinwheels, respectively; (h) measured and calculated linear polarization rotation angle versus wavelength for 2D and 3D LH pinwheels. “闭环”纳米剪纸光学超手征特性^[43] 　(a)从螺旋结构到三维风车结构的设计演化示意图; (b), (c) LH风车结构和RH风车结构对入射光电场分量E_x和磁场分量H_y响应的示意图; (d), (e)三维风车结构及二维前体SEM图像, 晶格周期为1.45 μm; (f) LH及RH三维风车结构SEM顶视图; (g)二维LH、三维LH和三维RH结构透射的CD谱; (h)不同波长处三维风车结构的线偏振旋转极坐标图

Fig. 15. Metasurface by “closed-loop” nano-kirigami^[66]: (a) Transmission phase spectra of E_y for LH and RH pinwheels, respectively; (b) top-view SEM image of a linear grating in which the LH and RH pinwheels are fabricated alternately along the x-direction; scale bar, 1 μm; (c) top-view SEM image of a circular grating; scale bar, 10 μm; (d) schematic of the diffraction properties of the linear grating; (e) CCD camera images of the transmitted light spots at different wavelengths under detection with no polarization (n_p), x-polarization (x_p), and y-polarization (y_p), respectively; (f)−(h) CCD images of the spots of the diffracted (left) RCP and (middle) LCP beams under the illumination with LCP, RCP andx-polarized incident light, respectively; (i)−(m) photographs of circular binary gratings at different wavelengths (Scale bars: 10 μm). “闭环”纳米剪纸超构表面^[66] 　(a)不同手性结构交叉偏振透射相位光谱; (b)由不同手性风车结构交替排列组成的二元线性光栅(比例尺: 1 μm); (c)由不同手性风车结构交替排列组成的圆形二元光栅的SEM图(比例尺: 10 μm); (d)线性二元光栅对透射光偏振调制示意图; (e)不同波长和探测偏振下二元线性光栅透射实验照片, 入射光为x偏振; (f)−(h)二元线性光栅对圆偏振光的调制; (i)−(m)不同波长和探测偏振下的圆形二元光栅的实验照片(比例尺: 10 μm)