CN116930082A - Optical spin weak measurement system of chiral drug and parameter optimization method thereof - Google Patents
Optical spin weak measurement system of chiral drug and parameter optimization method thereof Download PDFInfo
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- 238000005259 measurement Methods 0.000 title claims abstract description 48
- 238000000034 method Methods 0.000 title claims abstract description 41
- 239000003814 drug Substances 0.000 title claims abstract description 30
- 230000003287 optical effect Effects 0.000 title claims abstract description 30
- 229940079593 drug Drugs 0.000 title claims abstract description 23
- 238000005457 optimization Methods 0.000 title claims abstract description 22
- CPBQJMYROZQQJC-UHFFFAOYSA-N helium neon Chemical compound [He].[Ne] CPBQJMYROZQQJC-UHFFFAOYSA-N 0.000 claims abstract description 9
- 239000011159 matrix material Substances 0.000 claims description 30
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- NAWXUBYGYWOOIX-SFHVURJKSA-N (2s)-2-[[4-[2-(2,4-diaminoquinazolin-6-yl)ethyl]benzoyl]amino]-4-methylidenepentanedioic acid Chemical compound C1=CC2=NC(N)=NC(N)=C2C=C1CCC1=CC=C(C(=O)N[C@@H](CC(=C)C(O)=O)C(O)=O)C=C1 NAWXUBYGYWOOIX-SFHVURJKSA-N 0.000 claims description 3
- 230000008878 coupling Effects 0.000 claims description 3
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- 229940126680 traditional chinese medicines Drugs 0.000 description 5
- 239000004480 active ingredient Substances 0.000 description 4
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- BLUAFEHZUWYNDE-NNWCWBAJSA-N artemisinin Chemical compound C([C@](OO1)(C)O2)C[C@H]3[C@H](C)CC[C@@H]4[C@@]31[C@@H]2OC(=O)[C@@H]4C BLUAFEHZUWYNDE-NNWCWBAJSA-N 0.000 description 3
- 229960004191 artemisinin Drugs 0.000 description 3
- 229930101531 artemisinin Natural products 0.000 description 3
- 239000000126 substance Substances 0.000 description 3
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- XUIMIQQOPSSXEZ-UHFFFAOYSA-N Silicon Chemical compound [Si] XUIMIQQOPSSXEZ-UHFFFAOYSA-N 0.000 description 1
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/16—Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/01—Arrangements or apparatus for facilitating the optical investigation
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/17—Systems in which incident light is modified in accordance with the properties of the material investigated
- G01N21/21—Polarisation-affecting properties
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
Abstract
The invention discloses an optical spin weak measurement system of chiral drugs and a parameter optimization method thereof, belonging to the technical field of chiral molecular measurement, and comprising a guide rail, a helium-neon laser, a half wave plate, a first lens, a first gram polarizer, a prism, a second lens, a second gram polarizer and a CCD, wherein a multilayer dielectric film is arranged on the prism, and the CCD, the second gram polarizer, the second lens, the prism, the first gram polarizer, the first lens, the half wave plate and the helium-neon laser are sequentially arranged on the guide rail; also discloses a parameter optimization method of the optical spin weak measurement system of the chiral drug. The structure and the method solve the problems that the prior detection method needs long time and damages the structure of the sample to be detected in the detection process, and the traditional weak measurement system is not careful about the influence of system parameters on the sensitivity and the detection limit of the system, so that the measurement result is inaccurate and a small amount of chiral molecules cannot be measured.
Description
Technical Field
The invention relates to the technical field of chiral molecular measurement, in particular to an optical spin weak measurement system of chiral drugs and a parameter optimization method thereof.
Background
The prior chiral molecule detection technology has the following background: with the development of biochemical and pharmaceutical fields, detection and measurement of chiral molecules have attracted a great deal of attention, and chiral refers to a property that an object cannot coincide with its mirror image, just like the left and right hands of a human being, and is called chirality. Chiral molecules are molecules having two or more chiral isomers, and are classified into left-handed and right-handed chiral molecules according to the direction of the angle of rotation produced by the structure. The chiral isomerism molecules often have similar or even the same physical and chemical properties, so resolution of chiral molecules is often troublesome and complex, and the existing detection methods of chiral molecules such as spectroscopy, mass spectrometry, chiral column methods and the like all require at least 20 minutes and longer, and damage the structure of a sample to be detected, wherein the chiral column method can only separate chiral substances, and further detection of the chiral direction of chiral molecules by an instrument such as a polarimeter is also required. In the traditional weak measurement system, the influence of the system parameters on the system sensitivity and the detection limit is not always taken into consideration, and is particularly important in the chiral detection of traditional Chinese medicines. Many traditional Chinese medicines contain chiral components, which are often important components of the medicine effect, but in most cases, the optical rotation and the dosage of the effective components of the traditional Chinese medicines are relatively small, so that a scheme with higher sensitivity and lower detection limit is required to be provided. A unified detection system is also required for different traditional Chinese medicines.
The photon spin hall effect refers to the phenomenon that when a horizontally linearly polarized light beam is reflected or refracted in a non-uniform medium, the opposite spin components in the light beam are split inversely along the direction of the normal incidence plane. Typically, the beam splitting is dimensioned at the light wavelength level, so this phenomenon cannot be directly observed, but after addition of a weak measurement system, the beam splits into two circularly polarized light beams visible to the measurement instrument due to the interaction of the front and rear gram polarizers and the beam. The photon spin Hall effect is similar to the spin Hall effect of electrons, the two circularly polarized lights are similar to spin electrons, and the refractive index gradient acts as an external field, so the photon spin Hall effect is very sensitive to the changes of the reflection/refraction surface and the polarization state of the circularly polarized light of the light beam, and can be used for detecting the tiny changes of a system. Therefore, the photon spin Hall effect can better detect chiral molecules with small orders of magnitude based on the sensitivity advantage of the photon spin Hall effect. The weak measurement system can naturally inhibit or even eliminate the noise problem which is concerned by people in small-magnitude detection because of the condition of weak value operation.
Therefore, it is necessary to provide a system for measuring optical spin weak of chiral drug and a parameter optimization method thereof, so as to solve the problems of the conventional measurement system.
Disclosure of Invention
The invention aims to provide an optical spin weak measurement system of chiral drugs and a parameter optimization method thereof, which solve the problems that the existing detection method needs long time and can damage the structure of a sample to be detected in the detection process, and the traditional weak measurement system is not careful about the influence of system parameters on the sensitivity and the detection limit of the system, so that the measurement result is inaccurate and a small amount of chiral molecules cannot be measured.
The invention provides an optical spin weak measurement system of chiral drugs and a parameter optimization method thereof, wherein the optical spin weak measurement system comprises a guide rail, a helium-neon laser, a half wave plate, a first lens, a first gram polarizer, a prism, a second lens, a second gram polarizer and a visible infrared CCD camera lens, wherein a multilayer medium film is arranged on the prism, and the visible infrared CCD camera lens, the second gram polarizer, the second lens, the prism, the first gram polarizer, the first lens, the half wave plate and the helium-neon laser are all sequentially arranged on the guide rail through a bracket.
Preferably, a rotary table is arranged between the prism, the first gram polarizer, the second gram polarizer and the corresponding brackets.
The invention also provides a parameter optimization method of the optical spin weak measurement system of the chiral drug, which is characterized by comprising the following steps:
step 1: deriving an expression of an optical spin Hall effect spin traversing value of the chiral molecule solution;
step 2: changing variable parameters in the expression of the step 1, and performing a simulation experiment;
step 3: and drawing a parameter-traversing value curve, and determining a parameter optimization scheme one by one.
Preferably, the expression derivation method of the spin-traverse value of the optical spin hall effect of the chiral molecule solution in step 1 is as follows: consider the incident beam as waist width w 0 Assuming an incidence plane of xoz plane, the beam is expressed as:
wherein kix ,k iy Respectively an x component and a y component of an incident wave vector, wherein sigma (plus or minus 1) corresponds to left and right circularly polarized light;
the beam angular spectrum reflection matrix obtained by transforming the coordinates in the three-dimensional space coordinate system is as follows:
wherein rss 、r sp 、r ps 、r pp All represent reflection coefficients, and are calculated by a transfer matrix method;
obtaining the reflection coefficient of the multilayer film structure, and setting the propagation in the n-th layer mediumPlane wave of E (n) ＝E 0 (n) exp[i(ωt-k·r)]The wave equation is of the form:
wherein E0 (n) For the complex amplitude, k, of the electric field in the n-th layer of medium (n) Representing complex wave vectors, t, ω, c and r representing time, angular frequency, vacuum phase velocity and position vector, respectively;
according to the continuity condition of each layer interface boundary, a 4-order square matrix Q related to the electric field amplitude of each layer in the structure is obtained, and the matrix Q is obtained by the following formula:
wherein matrix D (n) (n=1, 2, 3) and P (n) (n=1, 2, 3) are Dynamic matrix (Dynamic matrix) and transmission (Propagation matrix) matrix of each layer, respectively, each element of the matrix is solved by wave equation (4) and boundary conditions, and then substituted into the calculated reflection coefficient:
the incident light of any linear polarization state is expressed as:
|ψ i ＞＝cosη|H＞+sinη|V＞ (7)
wherein η represents the azimuth angle of the incident polarization;
bringing formula (7) into formula (2), the polarization state of light reflected at the surface of the magnetic thin film is expressed in the form of s-p as a basis vector:
to calculate the photon spin hall effect, the form of the polarization state of the reflected light in the spin base is given by:
wherein ,respectively representing a right-hand circular polarization state and a left-hand circular polarization state; delta H ＝(1+r ss /r pp )cotθ i /k 0 and δV ＝(1+r pp /r ss )cotθ i /k 0 Representing the PSHE generated by reflection of horizontally polarized and vertically polarized light at a non-magnetic medium interface (e.g., an air-glass interface), respectively;
δ H ＝(1+r ss /r pp )cotθ i /k 0 and δV ＝(1+r pp /r ss )cotθ i /k 0 Representing the additional PSHE generated by reflection of horizontally polarized and vertically polarized light at the surface of the magnetic medium, respectively; exp (+/-ik) V δ) represents photon spin-orbit coupling;
calculating to obtain a centroid transverse movement value generated when any linearly polarized light is reflected at an air-magnetic film interface by using a geometric centroid integration method, wherein the centroid transverse movement value is shown in a formula (10):
preferably, the variable parameters in the step 2 are the film material, the incident angle, the transmission distance, the direction of the externally applied magnetic field and the beam waist radius of the light beam, respectively.
Therefore, the optical spin weak measurement system and the parameter optimization method of the chiral drug have the following beneficial effects:
(1) The sensitivity of detecting chiral active ingredients of the traditional Chinese medicine is effectively improved: due to proper parameter selection, the transverse movement value of the centroid of the light beam of the light spot can be increased, namely the transverse movement value corresponding to the concentration change of the unit solution is increased, and the measurement sensitivity can reach 40 mu m/(mg/ml);
(2) Greatly reduces the detection limit of chiral effective components of the traditional Chinese medicine: the method increases the variation range of the light spot, namely increases the measurement range, thereby reducing the detection limit to 0.05mg/ml;
(3) The efficiency of detecting chiral active ingredients of the traditional Chinese medicine is effectively improved: because the chiral molecules are not required to be separated through the chiral column, and the response speed of the light field is very high, the detection of one solution can be completed within 30 seconds even if a plurality of data are taken into consideration to reduce errors;
(4) In the method, the parameters can be adjusted and selected to be suitable for measurement conditions and measurement intervals according to the measured chiral effective components, so that the universality is high.
The technical scheme of the invention is further described in detail through the drawings and the embodiments.
Drawings
FIG. 1 is a schematic diagram of a part of the structure and experimental light path of an embodiment of a method for optimizing the optical spin weak measurement system and parameters of a chiral drug;
FIG. 2 is a schematic diagram showing reflection of a multilayer dielectric film of an embodiment of a system for measuring optical spin weak of chiral drug and a method for optimizing parameters thereof according to the present invention;
FIG. 3 is a schematic diagram of an optical path flow of an embodiment of a system for measuring optical spin weak of chiral drug and a method for optimizing parameters thereof according to the present invention;
FIG. 4 is a graph showing the comparison between the simulation result and the actual concentration of an embodiment of the optical spin weak measurement system and the parameter optimization method of the chiral drug;
FIG. 5 is a partial flare diagram of an embodiment of a system for measuring optical spin weak of chiral drug and a method for optimizing parameters thereof according to the present invention;
fig. 6 is a graph of a parameter optimization simulation experiment of an embodiment of a system for measuring optical spin weak of chiral drug and a parameter optimization method thereof.
Reference is made to the accompanying drawings
1. A helium-neon laser; 2. a half-wave plate; 3. a first lens; 4. a first gram polarizer; 5. a prism; 6. a second lens; 7. a second gram polarizer; 8. visible infrared CCD camera lens.
Detailed Description
The technical scheme of the invention is further described below through the attached drawings and the embodiments.
Unless defined otherwise, technical or scientific terms used herein should be given the ordinary meaning as understood by one of ordinary skill in the art to which this invention belongs. The terms "first," "second," and the like, as used herein, do not denote any order, quantity, or importance, but rather are used to distinguish one element from another. The word "comprising" or "comprises", and the like, means that elements or items preceding the word are included in the element or item listed after the word and equivalents thereof, but does not exclude other elements or items. The terms "connected" or "connected," and the like, are not limited to physical or mechanical connections, but may include electrical connections, whether direct or indirect. "upper", "lower", "left", "right", etc. are used merely to indicate relative positional relationships, which may also be changed when the absolute position of the object to be described is changed.
The invention discloses a light spin weak measurement system of chiral drugs and a parameter optimization method thereof, wherein the measurement system comprises a guide rail, a helium-neon laser 1, a half-wave plate 2, a first lens 3, a first gram polarizer 4, a prism 5, a second lens 6, a second gram polarizer 7 and a visible infrared CCD camera lens 8, wherein a multilayer dielectric film is arranged on the prism 5, and the visible infrared CCD camera lens 8, the second gram polarizer 7, the second lens 6, the prism 5, the first gram polarizer 4, the first lens 3, the half-wave plate 2 and the helium-neon laser 1 are all arranged on the guide rail in sequence through a bracket; and rotary tables are arranged among the prism 5, the first gram polarizer 4, the second gram polarizer 7 and the corresponding brackets respectively.
The invention also discloses a parameter optimization method of the photon rotation weakness measurement system of the chiral drug, which comprises the following steps:
step 1: deriving an expression of an optical spin Hall effect spin traversing value of the chiral molecule solution;
step 2: changing variable parameters in the expression of the step 1, and performing a simulation experiment;
step 3: and drawing a parameter-traversing value curve, and determining a parameter optimization scheme one by one.
The expression derivation method of the spin traversing value of the optical spin Hall effect of the chiral molecule solution in the step 1 is as follows: consider the incident beam as waist width w 0 Assuming a plane of incidence of xoz, the beam can be expressed as:
wherein kix ,k iy Respectively an x component and a y component of an incident wave vector, wherein sigma (plus or minus 1) corresponds to left and right circularly polarized light;
the beam angle spectrum reflection matrix is obtained according to coordinate transformation in a three-dimensional space coordinate system and comprises the following components:
wherein rss 、r sp 、r ps 、r pp All represent reflection coefficients, which can be calculated by a transfer matrix method;
obtaining the reflection coefficient of the multilayer film structure, and setting plane wave propagated in the nth layer medium as E (n) ＝E 0 (n) exp[i(ωt-k·r)]The wave equation is of the form:
wherein E0 (n) For the complex amplitude, k, of the electric field in the n-th layer of medium (n) Representing complex wave vectors, t, ω, c and r representing time, angular frequency, vacuum phase velocity and position vector, respectively;
based on the continuity condition of the boundary of each layer interface, we can obtain a 4-order square matrix Q related to the electric field amplitude of each layer in the structure, and the matrix Q is obtained by the following formula:
wherein matrix D (n) (n=1, 2, 3) and P (n) (n=1, 2, 3) are Dynamic matrix (Dynamic matrix) and transmission (Propagation matrix) matrix of each layer, respectively, each element of the matrix can be solved by wave equation (4) and boundary conditions, and then substituted into the calculated reflection coefficient:
the incident light of any linear polarization state is expressed as:
|ψ i ＞＝cosη|H＞+sinη|V> (7)，
wherein η represents the azimuth angle of the incident polarization;
bringing formula (7) into formula (2), the polarization state of light reflected at the surface of the magnetic thin film can be expressed in terms of s-p as a basis vector:
to calculate the beam centroid shift value produced by the photon spin hall effect, the form of the polarization state of the reflected light in the spin base is given by:
wherein ,respectively representing a right-hand circular polarization state and a left-hand circular polarization state; delta H ＝(1+r ss /r pp )cotθ i /k 0 and δV ＝(1+r pp /r ss )cotθ i /k 0 Representing the PSHE generated by reflection of horizontally polarized and vertically polarized light at a non-magnetic medium interface (e.g., an air-glass interface), respectively; delta H ＝(1+r ss /r pp )cotθ i /k 0 and δV ＝(1+r pp /r ss )cotθ i /k 0 Representing the additional PSHE generated by reflection of horizontally polarized and vertically polarized light at the surface of the magnetic medium, respectively; exp (+/-ik) V δ) represents photon spin-orbit coupling;
by using a geometric gravity center integration method, the centroid transverse movement value generated when any linearly polarized light is reflected at the air-magnetic film interface can be easily calculated by the formula (10):
the variable parameters in the step 2 are the film material, the incident angle, the transmission distance, the direction of the externally applied magnetic field and the beam waist radius of the light beam respectively.
The theoretical basis of the invention is as follows: after the light beam passes through a non-uniform medium (medicine containing chiral components), photons with opposite spin angular momentum are mutually separated in the transverse direction perpendicular to an incident plane, so that spin splitting of the light beam is caused, namely, a tiny transverse movement occurs, the intensity of the light is maintained or enhanced by utilizing the interference enhancing effect of the multi-layer medium films on the prism 5, and the focal length is adjusted to improve the measuring precision of displacement, so that the measuring precision of chiral medicine concentration can be correspondingly improved, and meanwhile, the minimum detection limit of chiral molecule concentration is reduced.
The algorithm we apply is not much the same as the numerical simulation of the general photon free hall effect: as simulated in FIG. 2, we divide the spot area into a plurality of small units, the reflection coefficient of each part is calculated separately, the light intensity value of each unit is obtained finally, the spot diagram is obtained, then the centroid calculation is carried out, and the data in the graph curve are obtained by the algorithm.
We start with the relation of the individual parameters of the weak measurement system to the shape (beam centroid traversing value). The parameters are independent of each other, so that theoretical simulation research and experimental verification can be carried out on the four parameters respectively, and the influence of the parameters on measurement accuracy is analyzed. In the measurement, the measuring sensitivity is improved by sacrificing the measuring range (the measured change range when the centroid of the light beam is shifted by the same value), so the measuring method is more suitable for measuring substances with relatively low chiral active ingredients of traditional Chinese medicines. In practical experiments, we also adjusted parameters for artemisinin with a low chiral active ingredient content.
Examples
Step 1: according to the expression of the transverse displacement value, the parameters to be optimized are respectively determined to be the film material, the incident angle, the transmission distance, the direction of the external magnetic field and the beam waist radius of the light beam;
step 2: in the simulation experiment, the film material, the incident angle, the transmission distance, the direction of the externally applied magnetic field and the beam waist radius of the light beam are respectively changed, and the simulation experiment is carried out;
step 3: selecting a multi-layer dielectric film as SiO 2 As can be seen from the experimental results in FIG. 5, compared with a common silicon wafer, the multilayer refractive index dielectric film can increase the spin-transfer variation range by about 1.3 times; most importantly, in the inversion region (i.e. the range used for measurement), the measured change value caused by the same sample change amount, i.e. the measurement sensitivity, can be improved by about 1.8 times, so that we use SiO 2 CeYIG multilayer thin film material grown on substrate YIG.
Changing the incident angle to obtain the curve of incident angle-traversing value shown in the upper left corner of fig. 6, it is known that in the change interval of 50 ° -74 °, as the angle increases, the concentration range covered by the PSHE linear region becomes smaller, but the concentration change value of the linear region PSHE becomes larger, i.e. the measured sensitivity becomes higher; above 74 degrees, the slope of the linear region of the PSHE change curve is increased, but the change range is reduced, namely the maximum measuring range is reduced, and comprehensively considering, the angle of incidence of 74 degrees is selected as the optimized parameter of the weak measuring system.
Changing the transmission distance yields a transmission distance-traversing value curve shown in the upper right corner of fig. 6, and it is known that as the focal length of the lens L1 decreases, the PSHE linear region coverage is almost unchanged, and the sensitivity and resolution are significantly improved.
Changing the direction of the externally applied magnetic field to obtain a magnetic field direction-transverse movement value graph shown in the lower left corner of fig. 6, and giving a PSHE (particle swarm optimization) and concentration change relation graph of the reflecting surface material under magnetic fields in different directions, it can be seen that the polar direction and the longitudinal magnetic field not only do not improve the detection sensitivity, but also cause a larger phase delay, are not suitable for detecting chiral molecules with small concentration, but also have more advantages than the externally applied polar direction and the longitudinal magnetic field direction in the field of chiral molecule detection with larger concentration; the applied transverse magnetic field is expected to greatly improve the range of the weak measurement inversion region, namely the range under the condition of less sensitivity reduction, and can be selected according to specific needs.
It is apparent that changing the beam waist radius results in a beam waist radius-traversing value curve shown in the lower right corner of fig. 6: the light spot is scaled by increasing the beam waist in equal proportion, and in a weak measurement system with little influence of ambient stray light, the light spot is scaled to only influence the maximum range of the transverse movement of the center of gravity of the light beam, obviously, a larger omega should be selected 0 。
And optimizing each parameter by combining the experimental result with the concentration of the sample to be measured and the precision of the required experimental result, and optimizing the measurement system. After the measurement system is optimized, a series of artemisinin solutions with the concentrations are measured, and the comparison result of the measurement result and the actual concentration is shown as a figure 5, which shows that the optimization effect is good, and the structure of artemisinin to be measured is not damaged in the measurement process.
Therefore, the optical spin weak measurement system of the chiral drug and the parameter optimization method thereof solve the problems that the existing detection method needs long time and can damage the structure of a sample to be detected in the detection process, and the traditional weak measurement system is not careful about the influence of system parameters on the sensitivity and the detection limit of the system, so that the measurement result is inaccurate and a small amount of chiral molecules cannot be measured.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention and not for limiting it, and although the present invention has been described in detail with reference to the preferred embodiments, it will be understood by those skilled in the art that: the technical scheme of the invention can be modified or replaced by the same, and the modified technical scheme cannot deviate from the spirit and scope of the technical scheme of the invention.
Claims (5)
1. The utility model provides a weak measurement system of light spin of chiral medicine, its characterized in that includes guide rail, helium neon laser, half wave plate, first lens, first gram polarizer, prism, second lens, second gram polarizer and visible infrared CCD camera lens, be provided with the multilayer dielectric film on the prism, visible infrared CCD camera lens second gram polarizer second lens prism the prism first gram polarizer first lens half wave plate and helium neon laser all set gradually through the support on the guide rail.
2. The system for measuring optical spin weakness of chiral drugs according to claim 1, wherein a rotary table is provided between the prism, the first and second gram polarizers and the respective holders.
3. The parameter optimization method of the optical spin weak measurement system of the chiral drug is characterized by comprising the following steps of:
step 1: deriving an expression of an optical spin Hall effect spin traversing value of the chiral molecule solution;
step 2: changing variable parameters in the expression of the step 1, and performing a simulation experiment;
step 3: and drawing a parameter-traversing value curve, and determining a parameter optimization scheme one by one.
4. A method for optimizing parameters of a system for measuring optical spin-weakness of chiral drugs according to claim 3, wherein the method for deriving the expression of the spin-traverse value of the optical spin hall effect of the chiral molecule solution in step 1 is as follows: consider the incident beam as waist width w 0 Assuming an incidence plane of xoz plane, the beam is expressed as:
wherein kix ,k iy Respectively an x component and a y component of an incident wave vector, wherein sigma (plus or minus 1) corresponds to left and right circularly polarized light;
the beam angular spectrum reflection matrix obtained by transforming the coordinates in the three-dimensional space coordinate system is as follows:
wherein rss 、r sp 、r ps 、r pp All represent reflection coefficients, and are calculated by a transfer matrix method;
obtaining the reflection coefficient of the multilayer film structure, and setting plane wave propagated in the nth layer medium as E (n) ＝E 0 (n) exp[i(ωt-k·r)]The wave equation is of the form:
wherein E0 (n) For the complex amplitude, k, of the electric field in the n-th layer of medium (n) Representing complex wave vector, t, ω, c and r respectively representing time and angular frequencyRate, vacuum phase velocity, and position vector;
according to the continuity condition of each layer interface boundary, a 4-order square matrix Q related to the electric field amplitude of each layer in the structure is obtained, and the matrix Q is obtained by the following formula:
wherein matrix D (n) (n=1, 2, 3) and P (n) (n=1, 2, 3) are Dynamic matrix (Dynamic matrix) and transmission (Propagation matrix) matrix of each layer, respectively, each element of the matrix is solved by the wave equation (4) and the boundary condition, and then substituted into the calculated reflection coefficient:
the incident light of any linear polarization state is expressed as:
|ψ i >＝cosη|H>+sinη|V> (7)，
wherein η represents the azimuth angle of the incident polarization;
bringing formula (7) into formula (2), the polarization state of light reflected at the surface of the magnetic thin film is expressed in the form of s-p as a basis vector:
to calculate the photon spin hall effect, the form of the polarization state of the reflected light in the spin base is given by:
wherein ,respectively representing a right-hand circular polarization state and a left-hand circular polarization state;
δ H ＝(1+r ss /r pp )cotθ i /k 0 and δV ＝(1+r pp /r ss )cotθ i /k 0 Representing the PSHE generated by reflection of horizontally polarized and vertically polarized light at a non-magnetic medium interface (e.g., an air-glass interface), respectively;
δ H ＝(1+r ss /r pp )cotθ i /k 0 and δV ＝(1+r pp /r ss )cotθ i /k 0 Representing the additional PSHE generated by reflection of horizontally polarized and vertically polarized light at the surface of the magnetic medium, respectively; exp (+/-ik) V δ) represents photon spin-orbit coupling;
calculating to obtain a centroid transverse movement value generated when any linearly polarized light is reflected at an air-magnetic film interface by using a geometric centroid integration method, wherein the centroid transverse movement value is shown in a formula (10):
5. the method for optimizing parameters of optical spin-weak measurement system of chiral drug according to claim 3, wherein the variable parameters in the step 2 are film material, incident angle, transmission distance, direction of external magnetic field and beam waist radius of light beam, respectively.
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