CN115373139B - Method for producing adjustable photon hook by irregular micro-nano structure - Google Patents
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Abstract
The invention discloses a method for producing an adjustable photon hook by an irregular micro-nano structure, which comprises the following steps: s1, introducing a structure constraint function to describe an irregular part of the cross section of an irregular micro-nano structure, wherein the structure constraint function expression comprises n coefficients, and the irregular part is provided with m vertexes; s2, determining coordinate information of m vertexes in a plane rectangular coordinate system, and solving a relation between an abscissa or an ordinate of the m vertexes and n coefficients; s3, adjusting and controlling n coefficients by adjusting the abscissa or the ordinate of m vertexes, so that the parameters of the photon hook are controlled. The structure constraint function provided by the invention can realize the direct control of the function coefficient on the parameters of the photon hook, namely, the expected photon hook form can be obtained by regulating and controlling the coefficient value of the structure constraint function.
Description
Technical Field
The invention relates to the field of light field regulation, in particular to a method for generating a regulatable photon hook by an irregular micro-nano structure.
Background
The photon hook is a local bending light field in a sub-wavelength scale, and has important application value in the fields of optical imaging, nanoparticle treatment, cell control rods, nonlinear optics, integrated optics and the like by virtue of excellent characteristics of the sub-diffraction limit full width at half maximum, the sub-wavelength scale curvature radius and the like, and provides possibility for breakthrough of the next-generation optical imaging and optical control technology. Along with the theoretical research of the generation mechanism of the photon hook and the popularization and the penetration of related applications, the research of the photon hook with adjustable parameters according to actual needs has important scientific significance and practical application value.
The photon hooks originally realized were produced by plane wave illumination onto dielectric particles composed of cuboid and triangular prisms (Yue L, min O V, wang Z, et al Photonic hook: a new curved light beam [ J ]. Optics Letters,2018,43 (4): 771-774.). The shape characteristics and field distribution of the photon hook depend on the geometry of the dielectric particles and the dielectric properties of the materials used, and the phase velocity of the transmitted light and the interference of the light waves in different areas of the particles are changed by destroying the symmetry of the original structure, so that the photon hook with bending characteristics is generated. To achieve adjustability of the parameters of the photon hooks, the embodiments implemented by researchers can be divided into three categories. The first category of solutions is to use asymmetric incident light conditions. There have been proposed by the research team that curved photon hooks can be achieved by asymmetric incidence of the beam on the particles (Feifeiwang, lianqing Liu, pengyu, et al, three-dimensional super-resolution morphology by near-field assisted white-light interferometry [ J ]. Scientific Reports,2016,6,24703.). By controlling the irradiation range of the incident beam on the dielectric particles, the incident region is made asymmetrical, resulting in a curved photon hook. The second category of solutions is to exploit material asymmetry in the particles. Researchers have studied the photon hooks produced by micropocks composed of two semicylinders of different materials, and by rotating the micropocks about a central axis, the bending angle of the photon hooks can be flexibly adjusted (Guoqiang Gu, liyang Shao, jun Song, et al photonic hooks from Janus microcylinders [ J ]. Optics Express,2019,27,37771-37780.). A third class of schemes is to exploit structural asymmetry. Based on specular reflection of inclined mirrors, researchers have adjusted the angle of curvature of a photon hook by placing a mirror behind the particle and adjusting the inclination of the mirror (Y.E.Geints, A.A.Zemlyanov, I.V.Minin, et al Specular-reflection photonic hook generation under oblique illumination of a super-contrast dielectric micropaeticle [ J ]. Journal of Optics,2021,23,045602.). Meanwhile, researchers have proposed adding a metal baffle to the front of the light incidence face of an ellipsoidal structure, and adjusting the bending direction of the photon hook by controlling the shielding position of the metal baffle (C.Liu, H.Chung, O.V.Minin, et al shaping photonic hook via well-controlled illumination of finite-size graded-index micro-elipsoid [ J ]. Journal of Optics,2020,22,085002 ]. However, in many regulation schemes, all structures of the dielectric particles are almost regular structures, and the regulation requirement of the photon hooks of the particles with irregular structures cannot be met, so how to realize the regulation of the photon hooks formed by the particles with irregular structures is a problem to be solved urgently.
For the photonic hook modulation of more complex micro-nano structures, there is no more systematic modulation scheme so far.
Disclosure of Invention
In order to solve the problems, the invention provides a method for generating an adjustable photon hook by an irregular micro-nano structure, which introduces a structure constraint function into the structure definition of the irregular micro-nano structure, and determines the boundary of the irregular structure through parameters in the function, so that the length, the bending angle and the bending direction of the photon hook are adjusted, the design is reasonable, the defects of the prior art are overcome, and the method has good effect.
In order to achieve the aim of the invention, the following technical scheme is adopted:
a method of producing a regulatable photon hook from an irregular micro-nano structure, comprising the steps of:
s1, introducing a structure constraint function to describe an irregular part of the cross section of an irregular micro-nano structure, wherein the structure constraint function expression comprises n coefficients, and the irregular part is provided with m vertexes;
s2, determining coordinate information of the m vertexes in a plane rectangular coordinate system, and solving a relation between the abscissa or the ordinate of the m vertexes and the n coefficients;
and S3, adjusting and controlling the n coefficients by adjusting the abscissa or the ordinate of the m vertexes, so as to control the parameters of the photon hook.
Further, the irregular micro-nano structure is a micro-nano structure with arc-shaped depressions in the cross section, the arc-shaped depressions are described by a structure constraint function, the structure constraint function is an asymmetric parabolic-like function, and the expression is as follows:
x＝Ay 2 +By+C+Dxy (1)
wherein A, B, C, D is the coefficient of the structural constraint function;
setting M, N, P as three vertexes of a recess, taking a point on a connecting line of an MN as an origin O, and establishing a plane rectangular coordinate system xoy, wherein an intersection point of the recess and an x axis is P; m, N, P are respectively represented by (0, a), (0, -b) and (-c, 0), a, b and c are all greater than 0;
the relation between a, b and c and the coefficients A, B and C, D is obtained, and the coefficients A, B, C, D are regulated by adjusting the sizes of a, b and c.
Further, the relationship between a, b, c and coefficients A, B, C, D is:
C＝-c (4)
further, the parameters of the photon hook include bending angle, bending direction and effective length.
The invention has the beneficial effects that:
1) The structure constraint function provided by the invention can realize the direct control of the function coefficient on the parameters of the photon hook, namely, the expected photon hook form can be obtained by regulating and controlling the coefficient value of the structure constraint function.
2) The structure constraint function provided by the invention realizes the regulation and control of the irregular micro-nano structure, and if the type of the structure constraint function is changed, the control of any irregular micro-nano structure can be realized theoretically.
3) The method for generating the irregular micro-nano structure regulated by the structure constraint function is simple in theoretical implementation, meanwhile, the concave micro-column is simple in processing, the requirement on experimental equipment for light field regulation is low, and compared with the traditional experimental generation method for locally bending a light field, no additional element is provided, and the method is easy to realize.
Drawings
FIG. 1 is a three-dimensional schematic of an irregular micro-nano structure according to the present invention;
FIG. 2 is a schematic cross-sectional view of an irregular micro-nano structure according to the present invention;
FIG. 3 is a graph of experimental results showing that b and c are unchanged and a value is changed in the invention;
wherein, (a) is an experimental result graph under the condition of a=0.25; (b) is a graph of experimental results under the condition of a=1.83; (c) is a graph of experimental results under the condition of a=3.42; (d) is a graph of experimental results under the condition of a=5.00;
FIG. 4 is a graph of experimental results showing that a and c are unchanged and b values are changed in the invention;
wherein, (a) is an experimental result graph of b= -0.25; (b) is an experimental result graph under the condition of b= -1.83; (c) is an experimental result graph under the condition of b= -3.42; (d) is an experimental result graph under the condition of b= -5.00;
FIG. 5 is a graph of experimental results showing that a and b are unchanged and the value of c is changed in the invention;
wherein, (a) is an experimental result graph of c= -9.00; (b) is an experimental result graph under the condition of c= -7.50; (c) is an experimental result graph under the condition of c= -6.00; (d) is an experimental result graph under the condition of c= -4.50;
FIG. 6 is a graph of experimental results of varying coefficient values of a structure constraint function in accordance with the present invention;
wherein, (a) is an experimental result graph of changing the coefficient A; (B) is an experimental result graph of changing the coefficient B; (C) is an experimental result graph of changing the coefficient C;
FIG. 7 is a graph of experimental results of various effective lengths and bending angles of the photon hooks according to the present invention;
wherein, (a) is an experimental result graph with the effective length of the photon hook being 7.55λ and the bending angle being 17 °; (b) An experimental result graph with the effective length of the photon hook being 8.72 lambda and the bending angle being 15 degrees; (c) An experimental result graph with the effective length of the photon hook being 5.96 lambda and the bending angle being-14 degrees; (d) An experimental result graph of three bends for the effective length of the photon hook reaching 11.90 lambda almost;
Detailed Description
The following is a further description of embodiments of the invention, in conjunction with the specific examples:
a method for producing adjustable photon hook by irregular micro-nano structure, as shown in figure 1, the irregular micro-nano structure is a micro-column with arc-shaped concave cross section; the arc-shaped recess is described by a structural constraint function, which is an asymmetric parabolic-like function, expressed as:
x＝Ay 2 +By+C+Dxy (1)
wherein A, B, C, D is the coefficient of the structural constraint function;
set M, N, P to represent three vertexes of the recess, as shown in fig. 2, a point on the MN line is taken as an origin O, a plane rectangular coordinate system xoy is established, M, N, P coordinates are (0, a), (0, -b) and (-c, 0) respectively, and a, b and c are all greater than 0; a. the relationship between b, c and coefficients A, B, C, D is expressed as:
C＝-c (4)
and (3) regulating and controlling the coefficient A, B, C, D of the structure constraint function through the formulas (2) to (5) to realize the control of the parameters of the photon hook.
How the parameters of the photon hook are regulated is further illustrated by the following examples:
example 1
The present embodiment provides a method of modulating a photonic hook by changing the M point. As shown in fig. 2, a TE plane wave with wavelength λ of 632.8nm propagates negatively along the y-axis and is vertically incident on a concave microcolumn in vacuum, where the microcolumn cross section has a radius of 7λ and a refractive index of 1.5. Due toThe deflection of the medium to the incident light, the formation of a photonic hook on the shadow side of the concave micro-cylinder, defines three characteristic parameters: i max L and α. Wherein the maximum electric field intensity of the photon hook is I max Boundary strength I max V e. Along the main mode of the photon hook, two end points where the electric field intensity reaches the boundary intensity are respectively defined as a start point and an end point, and the effective length L is the projection distance of the photon hook from the start point to the end point along the y axis. The angle of curvature of the photonic hook is defined as α, and is specified to be positive when the photonic hook is curved to the right, otherwise negative.
In this embodiment, the lower intersection point N and the vertex P of the structure constraint function are fixed, the coordinates of which are set to (0, -1.83) and (-9.00,0), and when the coordinate ranges of the upper intersection point M are changed from (0,0.25), (0,1.83), (0,3.42) to (0,5.00), the results are shown in FIG. 3 (a-d), respectively, in which the curves represent the functions. As is clear from the four two-dimensional light field diagrams, as the M coordinate increases gradually from (0,0.25) to (0,5.00), the opening of the recess becomes larger and larger, the oscillation of the vacuum gas in the recess portion correspondingly increases, and the photon hook becomes longer, wider and weaker. As the length of the photonic hook changes, its bending angle also produces a negative bending, as shown in fig. 3 (c). And as the ordinate of the M point increases, the photon hook may bend at a small angle for a plurality of times, as shown in fig. 3 (d).
Therefore, it can be concluded from this embodiment that, with the increase of the opening on the recess caused by the upward movement of the M point, a negatively curved photon hook and a repeatedly curved photon hook can be generated, and the effective length of the photon hook can be regulated regularly.
Example 2
The present embodiment provides a method of adjusting the length and angle of the photonic hook by varying the lower intersection point N. The conditions of the incident light field and medium are the same as those of example 1, as shown in fig. 4 (a-d), the upper intersection point M (0,1.83) and the vertex P (-9.00,0) are fixed, and when the coordinates of N are (0, -0.25), (0, -1.83), (0, -3.42) and (0, -5.00), as the ordinate of N decreases from-0.25 to-5.00, i.e., the opening of the recess becomes larger, the effective length of the photonic hook becomes longer, the intensity distribution becomes more uniform and also correspondingly weakens, and the oscillation inside the recess decreases. And when the recess opening is small, as shown in fig. 4 (b), the photo hook has a large bending angle.
Therefore, it can be concluded from this embodiment that, when the size of the opening below the micro-cylinder recess is properly increased under the light field condition, the effective length of the photon hook becomes long and the light intensity distribution becomes uniform, and the photon hook has good properties. Meanwhile, the smaller concave opening angle is more beneficial to the photon hook to form a larger bending angle.
Example 3
The present embodiment provides a method of adjusting the length and angle of the photo-hook by changing the position of the vertex P. The conditions of the incident light field and the medium are the same as those of example 1, as shown in fig. 5. When the coordinates of P are (-9.00,0), (-7.50,0), (-6.00,0) and (-4.50,0), the field intensity distribution is shown in FIG. 5 (a-d), respectively. For ease of description, a recess depth less than the radius of the micro-cylinder is defined as a shallow recess depth, and a recess depth greater than the radius of the micro-cylinder is defined as a deep recess depth. When the apex P moves from inside to outside, as shown in fig. 5 (a-d), the bending direction of the photon hook changes from positive (fig. 5 (a)) to negative (fig. 5 (d)), and the effective length of the photon hook is also shortened by long (fig. 5 (a)), and little obvious photon hook is formed in fig. 5 (b) and 5 (c). These phenomena are the result of the variation in the refractive index profile of the concave micropillars due to the different pit depths, in which the direction of light transmitted from the backlight side of the micropillar is significantly deflected, while in the case of shallow pit depths this partial beam is hardly deflected, so the effective length of the photon hook in the case of deep pits is longer.
It can be concluded from this embodiment that the position of point P controls the bending direction of the photonics hook, and the deep recess depth is beneficial to increase the effective length of the photonics hook.
Example 4
This example combines examples 1-3 to provide a method for tuning a photonic hook that comprehensively considers the coefficients of the structural constraint function. The relationship between each coefficient and the opening angle and depression depth is shown in different colors in fig. 6, where fig. 6 (a-C) intuitively shows a two-dimensional structure of the micropillar depression when the coefficients A, B and C are changed, respectively.
As shown in table 1, the values of coefficients A, B, C, D and a, b, and c corresponding to the plurality of recesses in fig. 6 (a), the smaller the coefficient, the larger the opening angle of the recess, which means that the coefficient a mainly determines the opening angle of the function. And according to the regulation law of embodiment 2, the opening angle can be reduced by increasing the coefficient a, so that the bending angle of the photon hook is increased.
TABLE 1
| A | B | C | D |
| 1.00 | -2.00 | -9.00 | -0.22 |
| 5.00 | -2.00 | -9.00 | -0.22 |
| 15.00 | -2.00 | -9.00 | -0.22 |
| 45.00 | -2.00 | -9.00 | -0.22 |
| 100.00 | -2.00 | -9.00 | -0.22 |
| a | b | c | |
| 4.16 | -2.16 | 9.00 | |
| 1.56 | -1.16 | 9.00 | |
| 0.84 | -0.71 | 9.00 | |
| 0.47 | -0.43 | 9.00 | |
| 0.31 | -0.29 | 9.00 |
The values of coefficients A, B, C, D and a, B, c corresponding to the plurality of recesses in fig. 6 (B) are shown in table 2, and analysis shows that the direction of rotation of the function depends on the coefficient B, e.g., as the coefficient B > 0, the function curve rotates downward around the vertex as the coefficient B increases, and as the coefficient B < 0, the function curve rotates upward around the vertex as the coefficient B decreases. According to the regulation law of example 2, the coefficient B controls the effective length of the photon hook, so that the coefficient B is more than 0, and the photon hook with longer effective length is obtained.
TABLE 2
| A | B | C | D |
| 5.00 | -20.00 | -9.00 | -2.22 |
| 5.00 | -10.00 | -9.00 | -1.11 |
| 5.00 | 0.00 | -9.00 | 0.00 |
| 5.00 | 10.00 | -9.00 | 1.11 |
| 5.00 | 20.00 | -9.00 | 2.22 |
| a | b | c | |
| 4.41 | -0.14 | 9.00 | |
| 2.67 | -0.67 | 9.00 | |
| 1.34 | -1.34 | 9.00 | |
| 0.67 | -2.67 | 9.00 | |
| 0.41 | -4.41 | 9.00 |
The values of coefficients A, B, C, D and a, b, C corresponding to the plurality of recesses in fig. 6 (C) are shown in table 3, illustrating the effect of the coefficient C, the greater the depth of the recess opening when the absolute value of C is greater. By combining the example 3, it can be known that the coefficient C can realize free regulation and control of the concave vertex, and further realize control of the bending direction of the photon hook. Therefore, the concave shape of the concave micro-column can be changed by adjusting the coefficient of the structure constraint function, so that the regulation and control of the photon hook are realized.
TABLE 3 Table 3
| A | B | C | D |
| 5 | -2 | -9 | -0.22 |
| 5 | -2 | -7.5 | -0.27 |
| 5 | -2 | -6 | -0.33 |
| 5 | -2 | -4.5 | -0.44 |
| 5 | -2 | -3 | -0.67 |
| a | b | c | |
| 1.56 | -1.16 | 9.00 | |
| 1.44 | -1.04 | 7.50 | |
| 1.31 | -0.91 | 6.00 | |
| 1.17 | -0.77 | 4.50 | |
| 1.00 | -0.60 | 3.00 |
How this embodiment achieves the coefficient setting complies with the following steps:
the relationship between the coefficients can be obtained according to the formulas (2) to (5) as follows:
B＝-A(a-b) (6)
-C＝Aab (7)
D＝-B/C (8)
the value range of the coefficient C is limited by the coordinate system setting and the micro-cylinder radius, and in the embodiment, the value range of the coefficient C is (-10.43, -1.57), and is finally determined as c= -9.00. Since the ranges of a and b are (0.25,5.00), the range of values of a obtainable according to formula (7) is (0.36, 144.00), and this example provides a=2. According to equation (6), the range of values for B is (-9.50,9.50), and this example is determined to be b=3.00. Finally, based on equation (8), the coefficient d=0.33 is obtained. Thus, the two-dimensional light field result under the above parameter setting is that the effective length of the photon hook is 7.55λ and the bending angle is 17 °, as shown in fig. 7 (a). If photon hooks with different lengths and bending angles are required, multiple groups of parameters and light field distribution results can be obtained by executing the calculation steps. For example, as shown in fig. 7 (b), the rightward curved photonic hook has better properties, and the effective length is l=8.72λ, and the bending angle is α=15°; as also shown in fig. 7 (c), this set of parameters achieves a leftward curved photon hook of effective length l=5.96 λ and bend angle α= -14 °; and as shown in fig. 7 (D), when the parameter sets are set to a=1.44, b=2.28, c= -9.00, and d=0.25, a three-bent photon hook can be obtained, the total effective length of which reaches almost 11.90 λ.
In this embodiment, therefore, effective control of the parameters of the photonic hook characteristics, such as longer or shorter effective lengths, different bending directions and multiple bending characteristics, is achieved by adjusting the function coefficients, and a new method is provided for controlling the photonic hook as a whole.
It should be understood that the above description is not intended to limit the invention to the particular embodiments disclosed, but to limit the invention to the particular embodiments disclosed, and that the invention is not limited to the particular embodiments disclosed, but is intended to cover modifications, adaptations, additions and alternatives falling within the spirit and scope of the invention.
Claims (1)
1. A method for producing a regulatable photon hook by an irregular micro-nano structure, which is characterized by comprising the following steps:
s1, introducing a structure constraint function to describe an irregular part of the cross section of an irregular micro-nano structure, wherein the structure constraint function expression comprises n coefficients, and the irregular part is provided with m vertexes;
s2, determining coordinate information of the m vertexes in a plane rectangular coordinate system, and solving a relation between the abscissa or the ordinate of the m vertexes and the n coefficients;
s3, adjusting and controlling the n coefficients by adjusting the abscissa or the ordinate of the m vertexes, so that the parameters of the photon hook are controlled;
the irregular micro-nano structure is a micro-nano structure with an arc-shaped concave in cross section, the arc-shaped concave is described by a structure constraint function, the structure constraint function is an asymmetric parabolic-like function, and the expression is as follows:
x ＝ Ay 2 + By + C + Dxy (1)
wherein A, B, C, D is the coefficient of the structural constraint function;
setting M, N, P as three vertexes of a recess, taking a point on a connecting line of an MN as an origin O, and establishing a plane rectangular coordinate system xoy, wherein an intersection point of the recess and an x axis is P; m, N, P are respectively represented by (0, a), (0, -b) and (-c, 0), a, b and c are all greater than 0;
obtaining a relation between a, b and c and coefficients A, B and C, D, and regulating and controlling the coefficients A, B, C, D by adjusting the sizes of a, b and c;
a. the relationship between b, c and coefficients A, B, C, D is:
C＝-c (4)
parameters of the photon hook include bending angle, bending direction and effective length.
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Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110441834A (en) * | 2018-06-07 | 2019-11-12 | 华东师范大学 | The control method and control device of three dimensional photonic crystal lattice period and queueing discipline |
| CN113066523A (en) * | 2021-04-16 | 2021-07-02 | 上海交通大学 | Lepidoptera micro-nano structure unified characterization method and system based on space trigonometric function |
| CN113552718A (en) * | 2021-07-26 | 2021-10-26 | 南开大学 | Micro-nano structure processing method and system |
| CN113900262A (en) * | 2021-11-15 | 2022-01-07 | 北京理工大学 | Generalized vortex beam-based metamaterial surface design method and preparation method |
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Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110441834A (en) * | 2018-06-07 | 2019-11-12 | 华东师范大学 | The control method and control device of three dimensional photonic crystal lattice period and queueing discipline |
| CN113066523A (en) * | 2021-04-16 | 2021-07-02 | 上海交通大学 | Lepidoptera micro-nano structure unified characterization method and system based on space trigonometric function |
| CN113552718A (en) * | 2021-07-26 | 2021-10-26 | 南开大学 | Micro-nano structure processing method and system |
| CN113900262A (en) * | 2021-11-15 | 2022-01-07 | 北京理工大学 | Generalized vortex beam-based metamaterial surface design method and preparation method |
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