CN113639965B - Spectral resolution acquisition method for single-lens spectrum device - Google Patents
Spectral resolution acquisition method for single-lens spectrum device Download PDFInfo
- Publication number
- CN113639965B CN113639965B CN202110868969.0A CN202110868969A CN113639965B CN 113639965 B CN113639965 B CN 113639965B CN 202110868969 A CN202110868969 A CN 202110868969A CN 113639965 B CN113639965 B CN 113639965B
- Authority
- CN
- China
- Prior art keywords
- lambda
- lens
- wavelength
- spectral resolution
- quasi
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Images
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M11/00—Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
- G01M11/02—Testing optical properties
Abstract
The invention discloses a spectral resolution acquisition method for a single-lens spectrum device, which comprises the steps of firstly, acquiring an image comprising a quasi-focal image and an out-of-focus image of each wave band by using the single-lens spectrum device; according to the quasi-Jiao Bochang and in one pixel in the collected imageCalculating the spectral resolution of the single-lens spectrum device by using the diffraction energy concentration of the defocusing wavelength, specifically: quasi-Jiao Bochang lambda 1 Intensity values collected at maximum depth of focus and at off-focus wavelength λ 2 The condition that the intensity values collected at the focal positions are equal is defined as a critical condition, and the spectral resolution is calculated according to the critical condition. The method can accurately acquire the spectral resolution aiming at the single-lens spectrum device, has high efficiency and simple calculation process, and overcomes the defect that the single-lens spectrum acquisition device cannot directly utilize Rayleigh criterion to calculate the spectral resolution.
Description
Technical Field
The invention relates to the technical field of spectrum instruments, in particular to a spectral resolution acquisition method for a single-lens spectrum device.
Background
At present, for a spectrum instrument, spectral resolution is a very critical index, the spectral resolution refers to the minimum wavelength interval that can be resolved, a common acquisition method for the spectral resolution in the prior art is a rayleigh criterion, and the rayleigh criterion indicates: the separation between two points that can be resolved is equal to the airy disk radius, which also means that the diffraction patterns of two points partially coincide, the center of one diffraction pattern coincides with the first dark ring of the other, and in the resultant curve of the light intensity distribution curves of the diffraction patterns of the two points, the maximum value and the minimum value of the light intensity differ by 26%.
However, for the single-lens spectroscopic apparatus, the spectral resolution cannot be calculated by directly using the rayleigh criterion, and there is no spectral resolution acquisition scheme for the single-lens spectroscopic apparatus in the prior art.
Disclosure of Invention
The invention aims to provide a spectral resolution acquisition method for a single-lens spectrum device, which can accurately acquire spectral resolution for the single-lens spectrum device, has high efficiency and simple calculation process, and overcomes the defect that the single-lens spectrum acquisition device cannot directly analyze the spectral resolution by utilizing Rayleigh criterion.
The purpose of the invention is realized by the following technical scheme:
a method of spectral resolution acquisition for a single-lens spectroscopic device, the method comprising:
quasi-Jiao Bochang lambda 1 Intensity values collected at maximum depth of focus and at off-focus wavelength λ 2 The condition that the intensity values collected by the focal positions are equal is defined as a critical condition, and the spectral resolution is calculated according to the critical condition;
wherein d represents quasi Jiao Bochang lambda 1 Depth of focus of (d), f (λ) 1 ) And f (lambda) 2 ) Are quasi Jiao Bochang lambda respectively 1 And a defocus wavelength lambda 2 The focal position of (a);
when standard Jiao Bochang lambda 1 Intensity at maximum depth of focus position and intensity at f (lambda) 2 ) When the intensities of the positions are equal, a critical condition is defined, and the wavelength difference at this time is the spectral resolution δ λ, which is specifically:
δλ＝λ 2 -λ 1 。
according to the technical scheme provided by the invention, the method can accurately acquire the spectral resolution aiming at the single-lens spectrum device, has high efficiency and simple calculation process, and overcomes the defect that the single-lens spectrum acquisition device cannot directly utilize Rayleigh criterion to analyze the spectral resolution.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required to be used in the description of the embodiments are briefly introduced below, and it is obvious that the drawings in the description below are only some embodiments of the present invention, and it is obvious for those skilled in the art that other drawings can be obtained according to the drawings without creative efforts.
Fig. 1 is a schematic flowchart of a method for acquiring spectral resolution of a single-lens spectroscopy apparatus according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of spectrum collection according to an embodiment of the present invention;
fig. 3 is a schematic diagram of an acquisition process of the single-lens spectroscopic apparatus according to the embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention are clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, rather than all of the embodiments, and this does not limit the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments of the present invention without making any creative effort, shall fall within the protection scope of the present invention.
Fig. 1 is a schematic flow chart of a method for acquiring spectral resolution of a single-lens spectroscopy apparatus according to an embodiment of the present invention, where the method includes:
quasi-Jiao Bochang lambda 1 Intensity values collected at maximum depth of focus and at off-focus wavelength λ 2 The condition that the intensity values collected by the focal positions are equal is defined as a critical condition, and the spectral resolution is calculated according to the critical condition;
FIG. 2 is a schematic diagram of spectrum acquisition according to an embodiment of the present invention, and d represents quasi-Jiao Bochang λ 1 Depth of focus of (d), f (λ) 1 ) And f (lambda) 2 ) Are quasi Jiao Bochang lambda respectively 1 And a defocus wavelength lambda 2 The focal position of (a);
when standard Jiao Bochang lambda 1 Intensity at maximum depth of focus position and intensity at f (lambda) 2 ) When the intensities of the positions are equal, a critical condition is defined, and the wavelength difference at this time is the spectral resolution δ λ, specifically:
δλ＝λ 2 -λ 1 。
in a specific implementation, as shown in fig. 3, a schematic diagram of an acquisition process of the single-lens spectrum device according to the embodiment of the present invention is shown, assuming that a lens diameter of the single-lens spectrum device is 2a, a corresponding focal length is f when a wavelength is λ, and an origin is used as a focal position, and a three-dimensional coordinate system is established;
two dimensionless constants were introduced:
wherein z represents the defocus amount on the optical axis; x, y represent the position of the image in a plane perpendicular to the optical axis;
the expression of the intensity of a light beam on the optical axis after passing through a lens is known as follows:
the focal length of the lens is expressed as:
wherein n represents a lens refractive index; r is 1 、r 2 Representing the curvature radius of the lens, and determining the corresponding curvature radius which is a constant after the lens parameters are determined;
the lens refractive index n is different for different wavelengths and is calculated using the Cauchy dispersion formula, which is expressed as:
wherein a, b and c represent Cauchy coefficients, which can be obtained by calculation, specifically by fitting according to refractive indexes corresponding to different wavelengths;
from the above equation, the relationship between the focal length f and the wavelength λ is expressed as:
in the above formula, R = (1/R) 1 -1/r 2 ) To facilitate the presentation;
thereby obtaining the relation between the focal length variation quantity delta f and the wavelength variation quantity delta lambda as follows:
Δf＝f'(λ)Δλ (6)
wherein f' (λ) is determined by the lens parameters and corresponds to the derivative of equation (5) representing the rate of change of focal length with wavelength;
due to the fact that
Wherein the content of the first and second substances,
wherein u1 and u2 are each a wavelength λ 1 At the position of maximum depth of focus and wavelength lambda 2 The corresponding u value at the focal position;
bringing formula (8) into formula (7) and simplifying it yields:
wherein z is 2 -z 1 ＝f(λ 2 )-f(λ 1 )＝△f；z 1 And z 2 Respectively represent the wavelength lambda 1 And wavelength lambda 2 A corresponding focal position;
the spectral resolution δ λ is then obtained from equations (9) and (6) as:
wherein d represents quasi Jiao Bochang lambda 1 Depth of focus of (d), f (λ) 1 ) And f (lambda) 2 ) Are quasi Jiao Bochang lambda respectively 1 And a defocus wavelength lambda 2 The focal position of (a);
the spectral resolution δ λ is derived by combining equation (10) and equation (6) as:
δλ＝△λ＝λ 2 -λ 1 。
in addition, the quasi-Jiao Bochang lambda 1 The focal depth d is approximately equal to 2Fp;
wherein F = F/2a, representing the F number of the system; p represents the pixel size of the detector;
parameters that affect spectral resolution include: F. p and f' (λ);
where F and F' (λ) are both determined by the lens parameters of the single lens spectroscopic assembly and p is determined by the detector chosen.
It is noted that those skilled in the art will recognize that embodiments of the present invention are not described in detail herein.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims. The information disclosed in this background section is only for enhancement of understanding of the general background of the invention and should not be taken as an acknowledgement or any form of suggestion that this information forms the prior art already known to a person skilled in the art.
Claims (1)
1. A method of obtaining spectral resolution for a single-lens spectroscopic apparatus, the method comprising:
step 1, firstly, acquiring an image comprising a quasi-focal image and an out-of-focus image of each wave band by using a single-lens spectrum device;
step 2, calculating the spectral resolution of the single-lens spectrum device according to the diffraction energy concentration ratio of quasi Jiao Bochang and defocusing wavelength in one pixel in the acquired image, specifically:
quasi-Jiao Bochang lambda 1 Intensity values collected at maximum depth of focus and at off-focus wavelength λ 2 The condition that the intensity values collected by the focal position are equal is defined as a critical condition, and the spectral resolution is calculated according to the critical condition;
wherein d represents quasi Jiao Bochang lambda 1 Depth of focus of (d), f (λ) 1 ) And f (lambda) 2 ) Are quasi Jiao Bochang lambda respectively 1 And a defocus wavelength lambda 2 The focal position of (a);
when standard Jiao Bochang lambda 1 Intensity at maximum depth of focus position and intensity at f (lambda) 2 ) When the intensities of the positions are equal, a critical condition is defined, and the wavelength difference at this time is the spectral resolution δ λ, which is specifically:
δλ＝λ 2 -λ 1 ；
the specific process is as follows:
assuming that the diameter of a lens of the single-lens spectrum device is 2a, the corresponding focal length is f when the wavelength is lambda, and the origin is taken as the focal position, and establishing a three-dimensional coordinate system;
two dimensionless constants were introduced:
wherein z represents the defocus amount on the optical axis; x, y represent the position of the image in a plane perpendicular to the optical axis;
the expression of the intensity of a light beam on the optical axis after passing through a lens is known as follows:
the focal length of the lens is expressed as:
wherein n represents a lens refractive index; r is 1 、r 2 Representing the curvature radius of the lens, and determining the corresponding curvature radius which is a constant after the lens parameters are determined;
the lens refractive index n is different for different wavelengths and is calculated using the Cauchy dispersion formula, which is expressed as:
wherein a, b and c represent Cauchy coefficients;
from the above equation, the relationship between the focal length f and the wavelength λ is expressed as:
in the above formula, R = (1/R) 1 -1/r 2 ) To facilitate presentation;
thereby obtaining the relation between the focal length variation quantity delta f and the wavelength variation quantity delta lambda as follows:
Δf＝f'(λ)Δλ(6)
wherein f' (λ) is determined by the lens parameters and corresponds to the derivative of equation (5) representing the rate of change of focal length with wavelength;
due to the fact that
Wherein the content of the first and second substances,
wherein u1 and u2 are each a wavelength λ 1 At the position of maximum depth of focus and wavelength lambda 2 The corresponding u value at the focal position;
bringing formula (8) into formula (7) and simplifying it yields:
wherein z is 2 -z 1 ＝f(λ 2 )-f(λ 1 )＝△f；z 1 And z 2 Respectively represent the wavelength lambda 1 And wavelength lambda 2 A corresponding focal position;
the spectral resolution δ λ is then obtained from equations (9) and (6) as:
wherein d represents quasi Jiao Bochang λ 1 The depth of focus of; f (lambda) 1 ) And f (lambda) 2 ) Are quasi Jiao Bochang lambda respectively 1 And a defocus wavelength lambda 2 The focal position of (a);
the spectral resolution δ λ is derived by combining equation (10) and equation (6) as:
δλ＝△λ＝λ 2 -λ 1 ；
wherein, quasi Jiao Bochang lambda 1 The focal depth d is approximately equal to 2Fp;
wherein F = F/2a, representing the F number of the system; p represents the pixel size of the detector;
parameters that affect spectral resolution include: F. p and f' (λ);
where F and F' (λ) are both determined by the lens parameters of the single lens spectroscopic assembly and p is determined by the detector chosen.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202110868969.0A CN113639965B (en) | 2021-07-30 | 2021-07-30 | Spectral resolution acquisition method for single-lens spectrum device |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202110868969.0A CN113639965B (en) | 2021-07-30 | 2021-07-30 | Spectral resolution acquisition method for single-lens spectrum device |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN113639965A CN113639965A (en) | 2021-11-12 |
| CN113639965B true CN113639965B (en) | 2023-01-17 |
Family
ID=78419014
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202110868969.0A Active CN113639965B (en) | 2021-07-30 | 2021-07-30 | Spectral resolution acquisition method for single-lens spectrum device |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN113639965B (en) |
Family Cites Families (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN100590403C (en) * | 2008-02-29 | 2010-02-17 | 深圳大学 | Imaging structure and its use method for diffraction optical imaging optical spectrometer with constant lateral magnification |
| CN102243137B (en) * | 2011-06-21 | 2013-04-10 | 中国科学院上海光学精密机械研究所 | Detection device and detection method for optical performance of beam shaping element |
| JP2013246018A (en) * | 2012-05-25 | 2013-12-09 | Sumitomo Electric Ind Ltd | Spectroscopic imaging device adjustment method and spectroscopic imaging system |
| CN102735338B (en) * | 2012-06-20 | 2014-07-16 | 清华大学 | High-resolution multispectral collection system based on mask and double-Amici prism |
| CN103822713B (en) * | 2014-03-05 | 2016-08-17 | 中国科学院光电研究院 | A kind of optical spectrum imagers spectral resolution detection method and device |
| CN104280120B (en) * | 2014-10-20 | 2016-08-24 | 北京空间机电研究所 | A kind of spectral bandwidth measuring method and device |
| EP3270581B1 (en) * | 2016-07-15 | 2021-04-14 | IMEC vzw | A method and a device for acquiring an image having two-dimensional spatial resolution and spectral resolution |
| US10495513B2 (en) * | 2017-01-17 | 2019-12-03 | Lightmachinery Inc. | Multi-resolution optical spectrometer |
| CN112098337B (en) * | 2020-08-31 | 2023-10-10 | 清华大学深圳国际研究生院 | High-resolution spectrum image rapid acquisition device and method |
-
2021
- 2021-07-30 CN CN202110868969.0A patent/CN113639965B/en active Active
Also Published As
| Publication number | Publication date |
|---|---|
| CN113639965A (en) | 2021-11-12 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN100565141C (en) | Generation contains the method and apparatus of the image of depth information | |
| CN109685745B (en) | Phase microscopic imaging method based on deep learning | |
| JP2020517096A5 (en) | ||
| TW201028730A (en) | Slit-scan multi-wavelength confocal lens module and slit-scan microscopic system and method using the same | |
| US11115573B2 (en) | Hyperspectral plenoptic camera | |
| CN112985600B (en) | Spectrum coding imaging system and method based on diffraction | |
| CN110727093A (en) | Multispectral microscopic automatic focusing device and method | |
| KR20160055673A (en) | Optical measurement system and method for measuring critical dimension of nanostructure | |
| CN107421640B (en) | Expand the multispectral light-field imaging system and method for principle based on color difference | |
| CN113639965B (en) | Spectral resolution acquisition method for single-lens spectrum device | |
| CN110399646B (en) | DFDI instrument model building method for extrasystematic planet detection | |
| KR102026742B1 (en) | Optical measuring system and method of measuring a critical size | |
| CN110987181A (en) | Optical path difference online calibration method of window scanning type interference hyperspectral imaging system | |
| CN112097904A (en) | Spectral imaging system and method based on diffraction lens/zoom lens array | |
| JP2007205791A (en) | Intra-cell film thickness measuring apparatus | |
| US20060007395A1 (en) | System and method for wavefront measurement | |
| CN111238644B (en) | White light interference removing method for interference spectrum of DFDI instrument | |
| WO2018128146A1 (en) | Spectral measurement method and spectral measurement device | |
| CN109596215A (en) | A kind of portable unit and its spectral method of detection based on smart phone measure spectrum | |
| CN105758842B (en) | A kind of filtering system of laser induced breakdown spectroscopy analyzer | |
| CN105758841B (en) | A kind of laser induced breakdown spectroscopy analyzer | |
| CN111043985A (en) | Microscopic 3D (three-dimensional) morphology measuring device and method based on time-sharing multispectral image | |
| CN114324206B (en) | Sky condition classification method based on passive multi-axis differential absorption spectrum technology | |
| TWI472725B (en) | Lens-chromatism spectrum measurement device and spectrum measurement method | |
| CN108007581B (en) | Portable phase camera system under natural light illumination |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |