CN111259577B - Light beam jitter simulation method of continuous plane reflection type optical link - Google Patents
Light beam jitter simulation method of continuous plane reflection type optical link Download PDFInfo
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Abstract
The invention discloses a light beam jitter simulation method of a continuous plane reflection type optical link, which relates to the technical field of light beam control simulation and comprises the following steps: under a plurality of vibration frequencies, respectively carrying out finite element simulation analysis under vibration excitation on the optical-mechanical structure to obtain a simulation result, and extracting first angular displacement data; respectively carrying out fast Fourier inverse transformation on each first angular displacement data to obtain second angular displacement data at a plurality of sampling moments; and processing the second angular displacement data by using a rotation reflection vector theory to obtain the deflection quantity of the exit light beam and the position of the exit light spot. The invention has the beneficial effects that: and the acceleration vibration excitation value is used as external load input to carry out light beam jitter numerical simulation calculation on the continuous plane reflection type optical link, and control input can be provided for dynamically correcting the light beam pointing direction of the continuous plane reflection type optical link according to a simulation result, so that the dynamic correction of the light beam pointing direction of the continuous plane reflection type optical link under the vibration environment is realized by utilizing the control input.
Description
Technical Field
The invention relates to the technical field of light beam control simulation, in particular to a light beam jitter simulation method of a continuous plane reflection type optical link.
Background
The continuous plane reflection type optical machine structure (optical machine structure for short) has wide application value in the fields of large-scale optical imaging detection and laser equipment.
In a large optical system at present, a continuous plane reflective optical link is often used to provide a continuous light guide optical path (also called a reflective optical path) for the optical structure to detect the azimuth and elevation motions. The continuous plane reflection type optical link is established on an optical base installation surface of the continuous plane reflection type optical machine structure and is composed of a plurality of plane reflection mirrors positioned on a reflection optical path. When the optical-mechanical structure works in different platform environments, the optical system can be excited by vibration from external machinery or flow fields, so that the continuous reflection light path is unstable in pointing direction.
The traditional method only controls and corrects the mechanical displacement of an optical element in the optical system, neglects the influence of beam pointing jitter (namely the beam pointing angular displacement of an exit of the reflection type optical machine), but with the higher requirement of the existing optical system on the stability of the beam, the beam jitter control is more and more emphasized.
At present, most acceleration sensors are adopted to measure and obtain vibration acceleration excitation values of an optical mechanical structure mounting surface, and how to realize dynamic correction control of continuous plane reflection type optical link light beam pointing in a vibration environment according to acceleration excitation input is a problem to be solved urgently at present.
Disclosure of Invention
Aiming at the problems in the prior art, the invention discloses a light beam jitter simulation method of a continuous plane reflection type optical link, which takes an acceleration vibration excitation value as external load input to carry out light beam jitter numerical simulation calculation of the continuous plane reflection type optical link, and can provide control input for dynamically correcting the light beam pointing direction of the continuous plane reflection type optical link according to a simulation result, thereby realizing the dynamic correction of the light beam pointing direction of the continuous plane reflection type optical link under a vibration environment by utilizing the control input.
A light beam jitter simulation method of a continuous plane reflection type optical link is characterized in that the continuous plane reflection type optical link is composed of a plurality of plane reflectors positioned on a reflection light path, and is established on an optical base installation surface of a continuous plane reflection type optical machine structure; the light beam jitter simulation method comprises the following steps:
step S1, respectively carrying out finite element simulation analysis under vibration excitation on the continuous plane reflective optical machine structure under a plurality of vibration frequencies to obtain corresponding simulation results, and extracting first angular displacement data of the continuous plane reflective optical link under each vibration frequency from the simulation results;
step S2, performing fast Fourier inverse transformation on each first angular displacement data to obtain second angular displacement data of the continuous planar reflection type optical link at multiple sampling moments in the whole time domain vibration period corresponding to each vibration frequency;
step S3, the second angular displacement data of each sampling moment is respectively processed by utilizing a rotating reflection vector theory, and the deflection quantity of the outlet light beam and the position of the outlet light spot of the continuous plane reflection type optical link under a plurality of sampling moments corresponding to each vibration frequency are obtained;
and step S4, extracting the maximum outlet light beam deflection amount and the corresponding outlet light spot position at each vibration frequency as a light beam jitter evaluation index for image output.
Preferably, step S1 includes:
step S101, coupling a large mass point on the installation surface of the continuous plane reflection type optical machine structure, respectively converting the acceleration excitation corresponding to each vibration frequency into force excitation, and applying the force excitation to the simulation model installation surface corresponding to the continuous plane reflection type optical machine structure;
step S102, carrying out modal analysis on a finite element model of the continuous plane reflection type optical machine structure to obtain modal frequency and a modal vibration type result, and carrying out harmonic response analysis on the basis of the modal analysis result by using a modal superposition method to obtain a forced vibration simulation result of the continuous plane reflection type optical machine structure under each vibration frequency;
step S103, extracting angular displacement values of a plurality of preset nodes near the optical axis centers of all the plane reflectors under each vibration frequency from the simulation result, taking the processed values of the angular displacement values of all the preset nodes on each plane reflector as the angular displacement of each plane reflector, and forming first angular displacement data by the angular displacement of all the plane reflectors of the continuous plane reflective optical link under each vibration frequency.
Preferably, in step S101, when the force excitation is applied to the mounting surface, the displacement of the mounting surface in a direction other than the excitation direction is restricted to ensure the accuracy of the vibration source input on the simulation model mounting surface.
Preferably, in step S103, the predetermined nodes are a plurality of points within a predetermined radius range around the center of the optical axis of the plane mirror.
Preferably, in step S103, an arithmetic average of all preset node angular displacement values on each plane mirror is taken as a processing value.
Preferably, in step S3, the second angular displacement data at each sampling time is calculated by the following formula to obtain the deflection amount of the exit beam:
wherein the content of the first and second substances,
p is used for representing an incident beam vector of the continuous plane reflective optical link;
Rja reflection matrix for representing the jth plane mirror on the continuous plane reflection optical link;
Sxjthe rotation matrix is used for representing the rotation of the jth plane mirror on the continuous plane reflection type optical link around the X axis of the preset coordinate axis;
Syjthe rotation matrix is used for representing the rotation of the jth plane mirror on the continuous plane reflection type optical link around the Y axis of the preset coordinate axis;
Szjand the rotation matrix is used for representing the rotation of the jth plane mirror on the continuous plane reflection type optical link around the Z axis of the preset coordinate axis.
Preferably, in step S3, the corresponding exit spot position is obtained by processing the exit beam deflection amount.
Preferably, the maximum exit beam deflection and the corresponding exit spot position in the main vibration frequency range of the continuous reflection type optical machine structure are obtained and used as beam jitter evaluation indexes for image output.
Preferably, in step S4, after drawing an exit beam deflection curve of the continuous planar reflective optical link at each vibration frequency according to the beam jitter numerical simulation, the exit beam deflection curve is used as a beam jitter numerical simulation result.
Preferably, in step S4, after the exit spot position scatter diagram of the continuous planar reflective optical link at each vibration frequency is drawn according to the beam jitter numerical simulation, the exit spot position scatter diagram is used as the beam jitter numerical simulation result.
The invention has the beneficial effects that: the invention simulates the dynamic response of the optical-mechanical structure under the actual working condition through a finite element model of the continuous plane reflection type optical-mechanical structure, deduces the angular displacement directed by the light beam at the outlet of the continuous plane reflection type optical link by using second angular displacement data associated with the plane reflector according to the structural simulation result by using a rotating reflection vector theory, realizes a technical route for obtaining the light beam jitter amount of the continuous plane reflection type optical link from an external vibration environment, provides a reference basis for dynamically correcting the light beam direction of the continuous plane reflection type optical link, and has the advantages of small actual deviation and strong engineering guidance.
Drawings
FIG. 1 is a flow chart of a beam jitter simulation method for a continuous planar reflective optical link;
fig. 2 is a flowchart of step S1;
FIG. 3 is a schematic view of a multiple plane mirror arrangement of a continuous planar reflective optical link;
FIG. 4 is a scattering diagram of the exit spot positions of the continuous planar reflective optical link according to the embodiment of the present invention;
FIG. 5 is a graph of exit beam deflection for a continuous planar reflective optical link according to an embodiment of the present invention.
In the figures, the reference numerals have the following meanings:
1. the device comprises a first plane reflector 2, a second plane reflector 3, a third plane reflector 4, a fourth plane reflector 5 and a fifth plane reflector.
Detailed Description
In the following embodiments, the technical features may be combined with each other without conflict.
The following further describes embodiments of the present invention with reference to the drawings:
as shown in fig. 1-4, a method for simulating beam jitter of a continuous planar reflective optical link, where the continuous planar reflective optical link is composed of a plurality of planar mirrors (e.g., a first planar mirror 1, a second planar mirror 2, a third planar mirror 3, a fourth planar mirror 4, and a fifth planar mirror 5 in fig. 1) located on a reflective optical path, and the continuous planar reflective optical link is established on an optical substrate installation surface of a continuous planar reflective optical machine structure. The light beam jitter simulation method comprises the following steps:
and step S1, respectively carrying out finite element simulation analysis under vibration excitation on the continuous plane reflective optical machine structure under a plurality of vibration frequencies (for example, 100 vibration sampling frequencies are uniformly distributed in 1 Hz-100 Hz) to obtain corresponding simulation results, and extracting first angular displacement data of the continuous plane reflective optical link under each vibration frequency from the simulation results. Specifically, finite element simulation analysis is performed on the continuous plane reflection type optical machine structure under the action of vibration excitation, and the angular displacement data (i.e. the first angular displacement data) of the reflector surface under each analysis frequency (i.e. vibration frequency) is extracted.
And step S2, performing fast Fourier inverse transformation on each first angular displacement data respectively to obtain second angular displacement data of the continuous planar reflective optical link at multiple sampling moments in the whole time domain vibration period corresponding to each vibration frequency. Specifically, the angular displacement data of each plane mirror under each vibration frequency working condition is subjected to inverse fast fourier transform, so as to obtain the angular displacement data (i.e. the second angular displacement data) of the plane mirror at each sampling moment in the whole time domain vibration period corresponding to each plane mirror under each frequency working condition.
And step S3, respectively processing the second angular displacement data at each sampling moment by using a rotating reflection vector theory to obtain the deflection quantity of the outlet light beam and the position of the outlet light spot of the continuous plane reflection type optical link at a plurality of sampling moments corresponding to each vibration frequency. Specifically, the corresponding exit spot position is obtained by processing the exit beam deflection amount.
And step S4, extracting the maximum outlet light beam deflection amount and the corresponding outlet light spot position at each vibration frequency as a light beam jitter evaluation index for image output.
The dynamic response of the optical-mechanical structure under the actual working condition is simulated through a finite element model of the continuous plane reflection type optical-mechanical structure, the angular displacement directed by the light beam at the outlet of the continuous plane reflection type optical link is deduced by using second angular displacement data associated with the plane mirror according to the structural simulation result and by applying a rotating reflection vector theory, the technical route of obtaining the light beam jitter amount of the continuous plane reflection type optical link from the external vibration environment is realized, a reference basis is provided for dynamically correcting the light beam direction of the continuous plane reflection type optical link, and the method has the advantages of small actual deviation and strong engineering guidance.
In a preferred embodiment, step S1 includes:
and S101, coupling a large mass point on the mounting surface of the continuous plane reflection type optical machine structure, respectively converting the acceleration excitation corresponding to each vibration frequency into force excitation, and applying the force excitation to the mounting surface of the corresponding continuous plane reflection type optical machine structure. When force excitation is applied to the installation surface, the displacement of the installation surface in the direction except the excitation direction is restrained, so that the accuracy of vibration source input on the installation surface of the simulation model corresponding to the continuous plane reflection type optical machine structure is ensured.
And S102, performing modal analysis on a finite element model of the continuous plane reflection type optical machine structure to obtain modal frequency and modal vibration type results, and performing harmonic response analysis on the basis of the modal analysis results by using a modal superposition method to obtain a forced vibration simulation result of the optical machine structure at each vibration frequency.
Step S103, extracting angular displacement values of a plurality of preset nodes near the optical axis centers of all the plane mirrors at each vibration frequency from the simulation result, taking the processed values of the angular displacement values of all the preset nodes on each plane mirror as the angular displacement of each plane mirror, and forming first angular displacement data by the angular displacement of all the plane mirrors of the continuous plane reflective optical link at each vibration frequency. The preset node is a plurality of points within a preset radius range by taking the center of an optical axis of the plane reflector as a circle center. And taking the arithmetic average value of all preset node angular displacement values on each plane mirror as a processing value.
Specifically, a large mass point is coupled to the mounting surface of the continuous plane reflective optical machine, acceleration excitation is converted into force excitation according to a formula of force-mass-acceleration, the force excitation is reversely applied to the mounting surface of the optical-mechanical structure, and then displacement in the direction where no external force is applied to the mounting surface is restrained, so that the vibration boundary condition of the continuous plane reflective optical machine is simulated.
Modal analysis is carried out on the finite element model of the continuous plane reflection type optical machine, and then a modal superposition method is used for carrying out harmonic response analysis to obtain a forced vibration simulation result of the optical-mechanical structure under each frequency working condition.
And extracting angular displacement values of nodes near the center of each plane mirror surface and taking the arithmetic mean value of the angular displacement values to obtain the angular displacement values of each plane mirror surface under each frequency working condition.
In a preferred embodiment, in step S3, according to the theory of rotational reflection vectors, the continuous reflection optical path exit beam vector P' at each sampling time is calculated from the second angular displacement data of the plane mirror surface in the time domain, and the following formula (1) is specifically adopted to calculate the second angular displacement data at each sampling time to obtain the exit beam deflection amount:
where P is used to represent the incident beam vector of the continuous planar reflective optical link, RjReflecting matrix for representing j-th plane mirror on continuous plane reflecting optical link, SxjRotation matrix S for representing the rotation of the jth plane mirror on the continuous plane reflection optical link around the X-axis of a preset coordinate axisyjRotation matrix S for representing the rotation of the jth plane mirror on the continuous plane reflection optical link around the Y axis of the preset coordinate axiszjAnd the rotation matrix is used for representing the rotation of the jth plane mirror on the continuous plane reflection type optical link around the Z axis of the preset coordinate axis.
In a preferred embodiment, in step S4, after drawing a curve of the exit beam deflection of the continuous planar reflective optical link at each vibration frequency according to the beam jitter numerical simulation, the curve of the exit beam deflection is used as the beam jitter numerical simulation result. Specifically, according to the exit light beam vector of the continuous plane reflective optical link, the maximum deflection angle (relative to an ideal unjittered optical axis) of the exit light beam of each vibration frequency working condition (in the corresponding whole time domain vibration period) is extracted, and a curve of the deflection amount of the exit light beam of the continuous plane reflective optical link under each frequency working condition is drawn.
And (3) simulating and drawing a scatter diagram of the exit light spot position of the continuous plane reflection type optical link under each vibration frequency according to the light beam jitter numerical value, and taking the scatter diagram of the exit light spot position as a light beam jitter numerical value simulation result. Specifically, the spot position when the outlet light beam (relative to the ideal unjittered optical axis) of each vibration frequency working condition (corresponding to the whole time domain vibration period) generates the maximum deflection is extracted, and the position scatter diagram of the outlet spot (in the plane perpendicular to the ideal unjittered outlet optical axis) of the continuous plane reflection type optical link under each frequency working condition is drawn.
According to the exit light beam vector of the continuous plane reflection type optical link, the maximum deflection amount of the exit light beam (relative to an ideal unjittered optical axis) of 100 frequency working conditions (corresponding to the whole time domain vibration period) in the working frequency range of 1Hz to 100Hz is extracted, and a scatter diagram (see the optical axis deflection position 1 meter away from the light outlet shown in fig. 4) and an exit light beam deflection amount curve (see the exit light beam relative to the ideal light beam deflection amplitude shown in fig. 5) of the light spot position at a distance of 1 meter away from the light outlet under each frequency working condition are drawn by software. As can be seen from FIG. 5, the maximum angular displacement occurs at 45Hz, and the maximum angular displacement is 1.35 mrad.
Carrying out finite element simulation analysis on a continuous plane reflection type optical machine structure under the action of vibration excitation, and extracting reflection mirror surface angular displacement result data under each analysis frequency; secondly, performing fast Fourier inverse transformation on the angular displacement data of the reflecting mirror surface to obtain the angular displacement data of the reflecting mirror surface in a time domain; calculating to obtain the deflection quantity of the light beam at the outlet of the continuous reflection light path by using a rotating reflection vector theory; and step four, extracting the maximum deflection of the continuous reflection light path outlet and the position of the light spot corresponding to the outlet to draw an image under each working condition.
The method realizes the technical route of obtaining the continuous plane reflector beam jitter amount from the external vibration environment, and has the characteristics of small deviation from the actual condition and strong engineering guidance.
And the acceleration vibration excitation value is used as external load input to perform light beam vibration numerical simulation calculation of the continuous plane reflector, so that control input is provided for dynamically correcting the continuous reflection type optical link light beam pointing, and the dynamic correction of the continuous plane reflection type optical link light beam pointing under the vibration environment is realized.
While the specification concludes with claims defining exemplary embodiments of particular structures for practicing the invention, it is believed that other modifications will be made in the spirit of the invention. While the invention has been described in connection with what is presently considered to be the preferred embodiment, it is not intended to be limited to the disclosed embodiment.
Various alterations and modifications will no doubt become apparent to those skilled in the art after having read the description. Therefore, the appended claims should be construed to cover all such variations and modifications as fall within the true spirit and scope of the invention. Any and all equivalent ranges and contents within the scope of the claims should be considered to be within the intent and scope of the present invention.
Claims (10)
1. A light beam jitter simulation method of a continuous plane reflection type optical link is characterized in that the continuous plane reflection type optical link is composed of a plurality of plane reflectors positioned on a reflection light path, and is established on an optical base installation surface of a continuous plane reflection type optical machine structure; the method for simulating the light beam jitter is characterized by comprising the following steps:
step S1, respectively carrying out finite element simulation analysis under vibration excitation on the continuous plane reflective optical machine structure under a plurality of vibration frequencies to obtain corresponding simulation results, and extracting first angular displacement data of the continuous plane reflective optical link under each vibration frequency from the simulation results;
step S2, performing fast Fourier inverse transformation on each first angular displacement data to obtain second angular displacement data of the continuous planar reflection type optical link at multiple sampling moments in the whole time domain vibration period corresponding to each vibration frequency;
step S3, the second angular displacement data of each sampling moment is respectively processed by utilizing a rotating reflection vector theory, and the deflection quantity of the outlet light beam and the position of the outlet light spot of the continuous plane reflection type optical link under a plurality of sampling moments corresponding to each vibration frequency are obtained;
and step S4, extracting the maximum outlet light beam deflection amount and the corresponding outlet light spot position at each vibration frequency as a light beam jitter evaluation index for image output.
2. A beam dithering simulation method according to claim 1, wherein the step S1 includes:
step S101, coupling a large mass point on the installation surface of the continuous plane reflection type optical machine structure, respectively converting the acceleration excitation corresponding to each vibration frequency into force excitation, and applying the force excitation to the simulation model installation surface corresponding to the continuous plane reflection type optical machine structure;
step S102, carrying out modal analysis on a finite element model of the continuous plane reflection type optical machine structure to obtain modal frequency and a modal vibration type result, and carrying out harmonic response analysis on the basis of the modal analysis result by using a modal superposition method to obtain a forced vibration simulation result of the continuous plane reflection type optical machine structure under each vibration frequency;
step S103, extracting angular displacement values of a plurality of preset nodes near the optical axis centers of all the plane reflectors under each vibration frequency from the simulation result, taking the processed values of the angular displacement values of all the preset nodes on each plane reflector as the angular displacement of each plane reflector, and forming first angular displacement data by the angular displacement of all the plane reflectors of the continuous plane reflective optical link under each vibration frequency.
3. A light beam vibration simulation method according to claim 2, wherein in step S101, displacement of the mount surface in a direction other than the excitation direction is restricted when the force excitation is applied to the mount surface to ensure accuracy of the vibration source input on the mount surface of the phantom.
4. A light beam shaking simulation method according to claim 2, wherein the predetermined nodes are a plurality of points within a predetermined radius around the center of the optical axis of the plane mirror in step S103.
5. A light beam shaking simulation method according to claim 2, wherein in step S103, an arithmetic average of all preset nodal angular displacement values on each plane mirror is taken as a processing value.
6. A method for simulating optical beam jitter according to claim 1, wherein in step S3, the second angular displacement data at each sampling time is calculated by the following formula to obtain the deflection of the exit optical beam:
wherein the content of the first and second substances,
p is used for representing an incident beam vector of the continuous plane reflective optical link;
Rja reflection matrix for representing the jth plane mirror on the continuous plane reflection optical link;
Sxjthe rotation matrix is used for representing the rotation of the jth plane mirror on the continuous plane reflection type optical link around the X axis of the preset coordinate axis;
Syjthe rotation matrix is used for representing the rotation of the jth plane mirror on the continuous plane reflection type optical link around the Y axis of the preset coordinate axis;
Szjand the rotation matrix is used for representing the rotation of the jth plane mirror on the continuous plane reflection type optical link around the Z axis of the preset coordinate axis.
7. A method for simulating optical beam jitter according to claim 1, wherein in step S3, the corresponding exit spot position is obtained by processing the deflection amount of the exit optical beam.
8. A beam jitter simulation method according to claim 1, wherein the maximum exit beam deflection and the corresponding exit spot position in the main vibration frequency range of the continuous reflective optical engine structure are obtained as beam jitter evaluation indices for image output.
9. A beam jitter simulation method according to claim 1, wherein in step S4, after drawing an exit beam deflection curve of the continuous planar reflective optical link at each vibration frequency according to the beam jitter numerical simulation, the exit beam deflection curve is used as the beam jitter numerical simulation result.
10. A beam jitter simulation method according to claim 1, wherein in step S4, after the exit spot position scatter diagram of the continuous planar reflective optical link at each vibration frequency is drawn according to the beam jitter numerical simulation, the exit spot position scatter diagram is taken as the beam jitter numerical simulation result.
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