CN106200020B - A kind of control method of luminous power suffered by radial anisotropic nano wire - Google Patents
A kind of control method of luminous power suffered by radial anisotropic nano wire Download PDFInfo
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- CN106200020B CN106200020B CN201610532292.2A CN201610532292A CN106200020B CN 106200020 B CN106200020 B CN 106200020B CN 201610532292 A CN201610532292 A CN 201610532292A CN 106200020 B CN106200020 B CN 106200020B
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- G—PHYSICS
- G02—OPTICS
- G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
- G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
- G02F1/01—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour
- G02F1/09—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour based on magneto-optical elements, e.g. exhibiting Faraday effect
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- Optical Modulation, Optical Deflection, Nonlinear Optics, Optical Demodulation, Optical Logic Elements (AREA)
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Abstract
The invention discloses a kind of control methods of luminous power suffered by radial anisotropic nano wire.Studies have shown that luminous power suffered by isotropism nano wire meets Rayleigh's law, but luminous power suffered by anisotropy nano wire disappears in non-rayleigh and abnormal behaviour is presented under non-rayleigh divergent cases.The present invention realizes the manipulation to luminous power suffered by radial anisotropic nano wire using the change of incidence wave wave vector according to full-wave electromagnetic scattering theory and Maxwell's stress tensor integration method.Meanwhile also the luminous power being subject to can be made to be enhanced or be weakened by adjusting nano wire anisotropic parameters.The control method of luminous power suffered by radial anisotropic nano wire provided by the invention, can be used for capturing nanoparticle, it will help the practical application of radial anisotropic nano-material.
Description
Technical field
The present invention relates to light to manipulate technical field, the in particular to behaviour of luminous power suffered by a kind of pair of radial anisotropic nano wire
Prosecutor method.
Background technique
In the late three decades, revolutionary variation has occurred to the understanding of light and interaction between substances in scientific circles.Light with
Interaction between particle can simply be divided into two aspects: first, pass through the dielectric constant of granular materials and magnetic conductivity
Adjusting plays regulating and controlling effect to Electromagnetic Wave Propagation.Second, photon have momentum and angular momentum, light-matter interaction along with
The exchange of momentum, to show as light to object applied force.The power on object is acted on equal to object in the unit time caused by light
The change of body momentum, and thus cause the displacement of object and the variation of speed, the referred to as mechanics effect of light.Due to single photon
The mechanics effect of momentum very little, ordinary light source is very little, and the mechanical property that people study light is greatly limited.Gratifying
It is that, with the invention of early 1960s laser, light starts the mechanics effect of substance to show the vitality that its is powerful.70 years
Generation, Steven Chu et al. have been developed using optical pressure principle with the cooling method with Trapping of Atoms of laser, the annual Nobels of acquisition 1997
Physics Prize.1970, A.Ashkin controlled the short grained movement of dielectric using laser beam and has carried out verifying experimentally.
At the same time, people are also exploring light to the mechanics effect of small macroparticle.1986, A.Ashkin etc. and successfully land productivity
It is realized with a beam intensity convergent laser beam to the 3 D captured of biological particle.This invention is visually known as ligh trap or optical tweezer.
The mechanics effect of light is studied to the essential attribute for recognizing light and how to use the mechanics effect of light that there is important academic significance,
And use up the manipulation to little particle and molecule into an important research means, application be related to physics, chemistry, material,
Mechanical, biology, medicine and other fields.However, focusing primarily upon both sides variation, one for the research in terms of luminous power at present
For incident light, secondly being optical parameter geometry (such as cylindricality, spherical shape or the little particle of arbitrary shape), the ruler of particle
Very little variation.For incident light, including a branch of plane wave incidence situation, ring whirl light beam, the two orthogonal planes of column are stayed
Wave, or the non-paraxial bessel beam etc. for generating the salt free ligands of negative luminous power.Pass through construction light wave wavefront and light intensity
Degree distribution can ideally manipulate particle.For the particle by luminous power, dielectric grain, metal are had studied at present
Grain, negative refractive index material includes the material of absorption and gain.Due to the always very little of the luminous power in little particle, nowadays many researchs
It is dedicated to increasing luminous power.
Existing theoretical and technology is only to be not directed to discussing isotropism particle to anisotropic material institute light
The research of power.Due to anisotropic electromagnetic material, dielectric constant and permeability tensor possess more parameters, these parameters
There is very big influence for light manipulation.
Summary of the invention
The present invention is directed to limitation of the existing technology, is based on Mie theory and Maxwell stress tensor method,
A kind of method manipulated in plane wave illumination to radial anisotropic nano wire to generated abnormal luminous power is provided.
Realize that the technical solution of the object of the invention is to provide a kind of manipulation side of luminous power suffered by radial anisotropic nano wire
Radius is r by method0Radial anisotropic nano wire be placed in medium, by magnetic field along radial polarization, wave vector k1Horizontal magnetic
Wave is radially incident on nano wire, is meeting k1r0=10-4~10-3Quasistatic approximation under the conditions of, change the wave of incidence wave
Swear k1, by formula
It obtains and k1The acceleration a of corresponding radial anisotropic nano wire, to realize the manipulation to suffered luminous power；
Wherein:
M is the quality of nano wire, and F is luminous power suffered by nano wire, and Re is real, and Im is the imaginary part of plural number,
k0For the wave vector in vacuum, bnFor scattering coefficient, π is pi, and i is imaginary unit.
The principle of foundation of the present invention is:
The relative dielectric constant and relative permeability of anisotropic nano wire be respectively
Wherein r, t, z are respectively the component radial, tangential, axial in cylindrical coordinate (r, θ, z).By made of anisotropic material half
Diameter is r0Nano wire be put into relative dielectric constant be ε1, relative permeability μ1Surrounding medium in, study its electromagnetic scattering and ask
Inscribe (ε0,μ0Respectively permittivity of vacuum and magnetic conductivity).Using cylindrical coordinates, taking the Time Dependent function of electromagnetic wave is e-iωt
(frequency and time that ω, t are incident light).It is as follows based on Maxwell equation (H, E are magnetic field strength and electric field strength):
When wave vector is k, magnetic field is along the TM waves incident to anisotropy column of radial polarization, H in this caser=0,
Hθ=0 passes through mathematical derivation, and column inner and outer magnetic field can extend are as follows:
Wherein, n '=| n | εt/εr, wave vector in surrounding mediumThe wave vector of nano wire
Wave vector k in vacuum0=ω/c, Jn() and Hn() is n-th order Bessel and Hankel function.Algebra is carried out according to boundary condition
Operation obtains scattering coefficient bn,
Based on the luminous power on scattering coefficient research anisotropy nano wire, the time acted on dipole column is averaged total luminous power
<F>is to be in unit normal vectorFace S on integral,
It is indicated with subscript i, j, k
The component in three directions indicates the conjugate of physical quantity, δ with subscript *ijFor δ function,For Maxwell's stress tensor, Re
For real.Luminous power includes the directed force F as caused by electric dipolee, directed force F caused by magnetic dipolemWith electricity and magnetic couple
Interaction partial action power F extremely between sone-m, may be expressed as:
F=Fe+Fm+Fe-m
The acceleration of particle:
Wherein αeAnd αmThe electromagnetic pole rate of endless nano wire is represented, Im is the imaginary part of plural number.Anisotropy nano wire
Polarizability can be indicated by more coefficient:
The luminous power as suffered by nano wire is smaller, is difficult to measure by instrument, the beneficial effects of the present invention are: it provides
The relationship of luminous power suffered by the wave vector and anisotropy nano wire of incidence wave manipulates nano wire movement using incidence wave wave vector is changed
Method obtains luminous power suffered by anisotropic nano wire by the measuring and calculating to acceleration, has scientific, reasonability and can grasp
The property made.
Detailed description of the invention
It is the acceleration of isotropism nano wire and the function relation figure of wave vector that Fig. 1, which is provided in an embodiment of the present invention,.
It is that non-Rayleigh scattering disappears the acceleration and wave vector of lower anisotropy nano wire that Fig. 2 is provided in an embodiment of the present invention
Function relation figure.
Fig. 3 provides the acceleration of the lower anisotropy nano wire of the super scattering of non-rayleigh and the function relation figure of wave vector.
Figure provided by the invention is that physics measures logarithm, enables Log10M=ml, then Log10F=Log10(ma)=Log10a+
Log10M=Log10a+ml。
Specific embodiment
Technical solution of the present invention is further elaborated with reference to the accompanying drawings and examples.
The embodiment of the present invention chooses suitable nano wire, needs while meeting dielectric constant relational expression, dielectric constant
Component controls within 10, this is because high dielectric constant will lead to magnetic resonance.
In embodiments of the present invention, the measurement method of acceleration are as follows: choose the starting point x of particle1, t at the time of writing down at this time1,
In subsequent time t2, write down the position of particle this moment, i.e. terminal x2, obtain the displacement of Origin And Destination, the acceleration of nano wire
Embodiment 1
The present embodiment provides a kind of normal Rayleigh scatterings, with εr=εt=5 nano wire is comparative example, by radius size
For 100nm, the nano wire that relative permeability is 1 is placed in vacuum medium, first uses wave vector k1=103Plane wave radially deexcitation
Nano wire measures the acceleration of particle at this time, then uses wave vector k1=104Plane wave deexcitation nano wire, measurement particle at this time
Acceleration writes down acceleration knots modification in this case.Numerical value calculating can also be carried out by mathematica software, it will
Obtained data draw figure with Origin software, intuitively to summarize the rule of light manipulation.
Referring to attached drawing 1, it is the acceleration of isotropism nano wire and the functional relation of wave vector that it, which is provided in this embodiment,
Figure, as wave vector k1=103(Log10k at this time1=3) when, i.e., abscissa is 3, and ordinate is Log10F=-20 (institute's light at this time
Power F=10-20)；Another group of data are taken, abscissa is 4 (i.e. k1=104), ordinate is -17 (i.e. F=10-17), then the figure straight line
Slope be 3.As shown in Figure 1, luminous power suffered by isotropism nano wire meetsWith the reduction of dielectric constant, light
Power is enhanced.By adjusting the dielectric constant of anisotropy nano wire, luminous power can increase or reduce under same wave vector.
Therefore, the regulation to luminous power can be realized by adjusting the dielectric constant of material to get greater or lesser luminous power is arrived.
The present embodiment scatters the anisotropy nano wire under disappearance situation as research object, by radius ruler using a kind of non-rayleigh
Very little is 100nm, relative permeability 1, dielectric constant satisfactionNano wire be placed in vacuum medium, test this and receive
The luminous power of rice noodles.With wave vector k1=103And k1=104Plane wave excite εr=5, εt=0.2 nano wire tests different wave vectors
The acceleration of lower nano wire, obtains acceleration knots modification.
Referring to attached drawing 2, it be non-rayleigh scattering provided in this embodiment disappear lower anisotropy nano wire acceleration with
The function relation figure of wave vector.As seen from Figure 2, luminous power is with k1Reduction quickly decline is presented, and defer to uncommon
RelationshipThe slope of two o'clock research straight line in figure is taken, abscissa is 3 (i.e. k1=103) when, Y value is about -35.2
(i.e. F=10-35.2)；Abscissa is 4 (i.e. k1=104) when ordinate be about -27.8 (F=10-27.8), slope is about 7.4.This
The numerical result of embodiment and the error of parsing result are 5%, in the reasonable scope.
Compared with comparative example, it can prove that and choose suitable material parameter, luminous power suffered by anisotropy no longer meets normally
Relationship change identical incident condition in the case where non-rayleigh scatters Disappearance Scenarios, luminous power increase becomes much larger, i.e., luminous power is in
Existing uncommon behaviorIt is different from normal behaviour
Embodiment 2
The present embodiment is using the anisotropy nano wire under a kind of super scattering of non-rayleigh as research object, by radius size r0For
100nm, relative permeability 1, dielectric constant meet(such as εr=-5, εt=-0.2) nano wire is placed on vacuum
In medium, by magnetic field along radial polarization, wave vector in medium be k1Transverse magnetic wave be radially incident on nano wire, meeting
k1r0=10-4~10-3Quasistatic approximation under the conditions of, change the wave vector k of incidence wave1,
By formula
It obtains and k1The acceleration a of corresponding radial anisotropic nano wire, to realize the manipulation to suffered luminous power；
Wherein:
M is the quality of nano wire, and F is luminous power suffered by nano wire, and Re is real, and Im is the imaginary part of plural number,
k0For the wave vector in vacuum, bnFor scattering coefficient, π is pi, and i is imaginary unit.
Referring to attached drawing 3, it is the super acceleration and wave for scattering lower anisotropy nano wire of non-rayleigh provided in this embodiment
The function relation figure of arrow.As seen from Figure 3, luminous power suffered by anisotropic nano wire is with wave vector k1Reduction present it is quick
Growth,It can be seen that changing incidence condition, that is, wave vector k1, the acceleration of anisotropy nano wire will change,
It can be realized and the luminous power that particle is subject to is manipulated.
Claims (1)
1. a kind of control method of luminous power suffered by radial anisotropic nano wire: it is characterized by:
It is r by radius0Radial anisotropic nano wire be placed in medium, by magnetic field along radial polarization, wave vector k1Horizontal magnetic
Wave is radially incident on nano wire, is meeting k1r0=10-4~10-3Quasistatic approximation under the conditions of, change the wave of incidence wave
Swear k1,
By formula
It obtains and k1The acceleration a of corresponding radial anisotropic nano wire, to realize the manipulation to suffered luminous power；
Wherein:
M is the quality of nano wire, and F is luminous power suffered by nano wire, and Re is real, and Im is the imaginary part of plural number,
k0For the wave vector in vacuum, bnFor scattering coefficient, π is pi, and i is imaginary unit.
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