Summary of the invention
In view of this, the purpose of the present invention is to propose to a kind of complex refractivity index measurement method of liquid absorption medium, measurement letter
Single, the component needed is seldom, and optical path is simple, and it is cheap to be made into instrument cost.
The present invention is realized using following scheme: a kind of complex refractivity index measurement method of liquid absorption medium, including following step
It is rapid:
Step S1: it provides one and splits shape absorption liquid medium samples;
Step S2: allowing light source to select suitable incidence point incident in medium interface, so that refraction light finally reaches set point,
The suitable incidence point position is recorded simultaneously;
Step S3: according to time minimum principle, and real refraction angle and the absorbing liquid splitting shape and absorb liquid medium established
The relationship of the complex refractivity index real and imaginary parts of body medium, calculates the complex refractivity index of testing liquid absorbing medium.
Further, in step S1, the shape absorption liquid medium samples of splitting is placed in a cuboid transparent vessel,
Described in cuboid transparent vessel be internally provided with an angle with horizontal plane be α inclined-plane, the four peripheral wall groups on inclined-plane and container
Chamber is described to hold splitting for liquid medium samples of absorption, so that the upper surface for absorbing liquid is the right-angle side for splitting shape.
Further, step S2 specifically: select laser as light source, laser vertical incidence is split into shape and absorbs liquid medium
The right-angle side of sample, moves left and right light source, suitable incidence point O point is selected at testing liquid absorbing medium interface, so that refraction
Light finally reaches set point B point by the C point in chamber wall, measure incidence point O point to the one of wall of container distance L,
The distance of the wall to B point is H, and the distance of the wall to another wall in parallel is m, distance of the container bottom to incidence point plane
For S.
Further, the step S3 specifically:
Step S31: establishing real refraction angle and absorbs the relationship of liquid medium complex refractivity index:
In formula, n indicates that the real part of the complex refractivity index to be measured for absorbing liquid medium, κ indicate to be measured and absorb answering for liquid medium
The imaginary part of refractive index, niIndicate the refractive index of container,Indicate the real refraction angle for being refracted to air;
Step S32: according to least time principle, the calculation formula to be measured for absorbing liquid medium refraction index real part is established:
Step S33: in conjunction with the relationship at real refraction angle and absorption liquid medium complex refractivity index, absorption liquid medium to be measured is obtained
Complex refractivity index imaginary part it is as follows:
Compared with prior art, the invention has the following beneficial effects: method of the invention only needs to make light incident from known point,
Select suitable incidence point in medium interface so that refraction light finally reaches set it is better, as long as measuring the position of people's exit point,
Simultaneously according to light by splitting the real refraction angle of shape liquid absorption medium and the complex refractivity index real and imaginary parts for absorbing liquid medium
Relationship can calculate the refractive index of medium, and measurement is simple, and the component needed is seldom, and optical path is simple, and it is low to be made into instrument cost
It is honest and clean.
Specific embodiment
The present invention will be further described with reference to the accompanying drawings and embodiments.
It is noted that following detailed description is all illustrative, it is intended to provide further instruction to the application.Unless another
It indicates, all technical and scientific terms used herein has usual with the application person of an ordinary skill in the technical field
The identical meanings of understanding.
It should be noted that term used herein above is merely to describe specific embodiment, and be not intended to restricted root
According to the illustrative embodiments of the application.As used herein, unless the context clearly indicates otherwise, otherwise singular
Also it is intended to include plural form, additionally, it should be understood that, when in the present specification using term "comprising" and/or " packet
Include " when, indicate existing characteristics, step, operation, device, component and/or their combination.
Present embodiments provide a kind of complex refractivity index measurement method of liquid absorption medium, comprising the following steps:
Step S1: it provides one and splits shape absorption liquid medium samples;
Step S2: allowing light source to select suitable incidence point incident in medium interface, so that refraction light finally reaches set point,
The suitable incidence point position is recorded simultaneously;
Step S3: according to time minimum principle, and real refraction angle and the absorbing liquid splitting shape and absorb liquid medium established
The relationship of the complex refractivity index real and imaginary parts of body medium, calculates the complex refractivity index of testing liquid absorbing medium.
In the present embodiment, in step S1, the shape absorption liquid medium samples of splitting is placed in a cuboid transparent vessel
In, wherein the cuboid transparent vessel is internally provided with the inclined-plane that an angle with horizontal plane is α, the surrounding on inclined-plane and container
Wall composition describes chamber to hold splitting for liquid medium samples of absorption, so that the upper surface for absorbing liquid is the right-angle side for splitting shape.
In the present embodiment, step S2 specifically: select laser as light source, laser vertical incidence is split into shape and absorbs liquid
The right-angle side of medium samples, moves left and right light source, selects suitable incidence point O point at testing liquid absorbing medium interface, so that
Refraction light finally reaches set point B point by the C point in chamber wall, measure incidence point O point to the one of wall of container away from
From L, the distance of the wall to B point is H, and the distance of the wall to another wall in parallel is m, container bottom to incidence point plane
Distance is S.
In the present embodiment, the step S3 specifically:
Step S31: establishing real refraction angle and absorbs the relationship of liquid medium complex refractivity index:
In formula, n indicates that the real part of the complex refractivity index to be measured for absorbing liquid medium, κ indicate to be measured and absorb answering for liquid medium
The imaginary part of refractive index, niIndicate the refractive index of container,Indicate the real refraction angle for being refracted to air;
Step S32: according to least time principle, the calculation formula to be measured for absorbing liquid medium refraction index real part is established:
Step S33: in conjunction with the relationship at real refraction angle and absorption liquid medium complex refractivity index, absorption liquid medium to be measured is obtained
Complex refractivity index imaginary part it is as follows:
As shown in Figure 1, laser vertical incidence is split the right-angle side that shape absorbs liquid medium samples by the present embodiment, move left and right
Light source selects suitable incidence point O at testing liquid absorbing medium interface, reaches refraction light finally by C point and set
The B point set, measure incidence point O point to chamber wall distance L.A, positional relationship between them of O, C, B as shown in Figure 1,
QW distance in known vessel bottom is m, and the distance QU of liquid level to container bottom is equal to S, and QB is equal to H, has an angle inside container
For the inclined-plane of α.According to least time principle, and the real refraction angle for splitting shape liquid absorption medium established and absorption liquid medium
Complex refractivity index real and imaginary parts relationship, the complex refractivity index of testing liquid absorbing medium can be calculated.
In the present embodiment, the relationship of real refraction angle and absorbing medium complex refractivity index is obtained with specific reference to the following contents:
Light wave E (r, t)=E (r) e-iωt, H (r, t)=H (r) e-iωtFor people's Maxwell equation, available light wave
Meet following equation in absorbing medium:
In formula,For equivalent complex dielectric permittivity, ε is dielectric constant, and μ is magnetic conductivity, and σ is conductivity,For the complex refractivity index of absorbing medium, n, κ are respectively the real part of absorbing medium, void
Portion, k0For the wave vector in vacuum,For the complex wave arrow in absorbing medium, the Unit Vector of equal-amplitude surface and equiphase surface
Amount is respectively q and s, and the angle between two unit vectors is ξ=cos-1(q.s), ksAnd kqRespectively phase constant (the reflection of wave
The propagation condition of wave) and attenuation constant (amplitude variations of reflection wave).
Relationship between the real part of phase constant, attenuation constant in absorbing medium and complex refractivity index, imaginary part is as follows:
Since n, κ are not zero, from above formula it is found that ξ ≠ pi/2, i.e. two unit vectors vertically will not be computed and can obtain:
Parameter Ns, NqRegard the effective refractive index that light is propagated and decayed in absorbing medium as, their size not only and
Complex refractivity index is in relation to also related with the angle of equiphase surface and equal-amplitude surface.
When light is by the right-angle side for the wedge shape absorbing medium that air vertical incidence apex angle is α, as shown in Fig. 2, at interface 1
Middle place, due to light vertical incidence, according to boundary condition it is found that into the light wave after absorbing medium:
It is refracted in vessel media at interface 2 by absorbing medium, enabling container refractive index is ni, it is refracted to the real folding of air
Firing angle isAccording to boundary condition it is found that phase wave vector and decaying wave vector due to absorbing medium medium wave have on interface
Tangential component, so the phase constant k ' of refracted waves, attenuation constant k 'qBetween relationship it is as follows:
Meanwhile it can be obtained according to boundary condition:
Real refraction angle can be obtained by four formulas above and absorb the relationship of the complex refractivity index real and imaginary parts of liquid medium
It is as follows:
Preferably, in the present embodiment, the calculated relationship for establishing testing medium refractive index according to least time principle is specific
It is as follows:
Light is from O point to B point, and by the available light of relationship given in Fig. 1, from O to B, the time required for point is:
The distance for enabling DC is x, from the geometric relations:
Shi Ke get before the formula is substituted into:
According to least time principle, if the used time is minimum, meet:
Preceding formula is substituted into the Shi Ke get:
In conjunction with Fig. 2, light will need to pass through C point from O point to B point, it is known that:
X=Lsin α tan α;
It is as follows that the formula is substituted into the real part expression formula that preceding formula can obtain complex refractivity index;
Simultaneously according to the real refraction angle of geometrical relationship are as follows:
The imaginary part that testing medium complex refractivity index can finally be obtained is as follows:
The foregoing is merely presently preferred embodiments of the present invention, all equivalent changes done according to scope of the present invention patent with
Modification, is all covered by the present invention.