CN106738924B - High-speed additive manufacturing device and method for optical holographic complex structure - Google Patents

High-speed additive manufacturing device and method for optical holographic complex structure Download PDF

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CN106738924B
CN106738924B CN201710023294.3A CN201710023294A CN106738924B CN 106738924 B CN106738924 B CN 106738924B CN 201710023294 A CN201710023294 A CN 201710023294A CN 106738924 B CN106738924 B CN 106738924B
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light modulator
spatial light
amplitude
point
pulse laser
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CN106738924A (en
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吴文征
刘巍
蒋吉利
武子超
耿鹏
赵继
任露泉
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Jilin University
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B33ADDITIVE MANUFACTURING TECHNOLOGY
    • B33YADDITIVE MANUFACTURING, i.e. MANUFACTURING OF THREE-DIMENSIONAL [3-D] OBJECTS BY ADDITIVE DEPOSITION, ADDITIVE AGGLOMERATION OR ADDITIVE LAYERING, e.g. BY 3-D PRINTING, STEREOLITHOGRAPHY OR SELECTIVE LASER SINTERING
    • B33Y30/00Apparatus for additive manufacturing; Details thereof or accessories therefor
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B33ADDITIVE MANUFACTURING TECHNOLOGY
    • B33YADDITIVE MANUFACTURING, i.e. MANUFACTURING OF THREE-DIMENSIONAL [3-D] OBJECTS BY ADDITIVE DEPOSITION, ADDITIVE AGGLOMERATION OR ADDITIVE LAYERING, e.g. BY 3-D PRINTING, STEREOLITHOGRAPHY OR SELECTIVE LASER SINTERING
    • B33Y50/00Data acquisition or data processing for additive manufacturing
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/0005Adaptation of holography to specific applications
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/04Processes or apparatus for producing holograms
    • G03H1/0443Digital holography, i.e. recording holograms with digital recording means
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/22Processes or apparatus for obtaining an optical image from holograms
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02PCLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P10/00Technologies related to metal processing
    • Y02P10/25Process efficiency

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Abstract

The invention relates to a high-speed additive manufacturing device and method for an optical holographic complex structure, and belongs to the field of additive manufacturing. Selecting liquid photosensitive resin as a main material of the formed part, designing the geometric configuration of the required formed part through a computer, sampling, calculating and transmitting the geometric configuration of the required formed part into a spatial light modulator, emitting pulse laser by a laser source, parallelly emitting the pulse laser into the spatial light modulator after passing through a spatial filter and a collimating mirror, modulating the amplitude and phase of the pulse laser in the spatial light modulator and emitting the pulse laser into the liquid photosensitive resin, forming a real image of the required formed part by mutually interfering the modulated pulse laser in the liquid photosensitive resin through a condenser lens, and initiating the polymerization and solidification of the liquid photosensitive resin at the position caused by the laser interference to realize the high-speed material increase manufacturing of the required formed part. The forming speed is improved, and the reconstruction and solidification of any complex structure object can be realized by adopting the computer hologram and the spatial light modulator.

Description

High-speed additive manufacturing device and method for optical holographic complex structure
Technical Field
The invention relates to the field of additive manufacturing, in particular to a method and a device for additive manufacturing of an optical holographic complex structure.
Background
The additive manufacturing technology is a novel technology for entity manufacturing based on a mode of accumulating materials layer by layer, is different from material reduction manufacturing and equal material manufacturing of a traditional processing mode, greatly reduces the processing procedures and the processing prop types of products, shortens the processing time and the manufacturing period of the products in the aspects of product research and development and personalized customization, realizes personalized customization of high-speed precision manufacturing complex parts, realizes near-net forming, and has great significance for promoting product innovation and shortening research and development period.
The three-dimensional photocuring additive manufacturing technology adopts laser with specific wavelength, uses liquid photosensitive resin as a main material, designs a required formed part through three-dimensional design software, slices, processes and designs a scanning path, the laser irradiates the liquid photosensitive resin and enables the irradiated point to be cured, the curing and forming of points, lines, surfaces and bodies are realized according to the movement of the set scanning path, and finally the layer-by-layer stacking photocuring three-dimensional forming of the required formed part is realized.
The digital light projection additive manufacturing technology is similar to the three-dimensional light solidification additive manufacturing technology in principle, liquid photosensitive resin is adopted as a main material and is solidified and formed layer by layer, but the digital light projection additive manufacturing technology is different from single-point solidification of the three-dimensional light solidification additive manufacturing technology, the digital light processing adopts a plurality of frames of pictures of a three-dimensional model processed by slicing and is irradiated into the liquid photosensitive resin by a digital projector, the high-speed solidification of the surface is realized, and the three-dimensional forming of a required formed part is realized by matching with a lifting platform.
The forming principle of the stereo photocuring and digital light projection additive manufacturing technology is that the components are solidified layer by layer and are stacked for forming, the surface of the formed component has a step effect, the forming principle determines the surface layering phenomenon, the forming quality is low, and high-speed and high-precision photocuring forming cannot be realized.
The holography technology is a technology that can record and reproduce the distribution situation of amplitude and phase in space on a hologram. The method comprises the steps of firstly, recording the amplitude and phase information of the surface light wave of an object by utilizing an interference principle, manufacturing a corresponding hologram, then, irradiating the hologram by utilizing laser with the same wavelength through a diffraction principle, enabling the laser to be diffracted through the hologram to reproduce the original three-dimensional object image, enabling the reproduced image to be a three-dimensional real image, observing the three-dimensional real image from all angles, and enabling the energy at the real image after light diffraction to be obviously higher than the energy of the surrounding light wave.
The computer-generated hologram is a new technology based on digital computation and modern holographic optics, the computer is used for simulating the light wave interference process, and encoding and computing the amplitude and phase information of the object encoding light wave, and the computer-generated hologram has low noise and high repeatability, can even record the hologram of an object which does not exist in reality, and has obvious advantages compared with an optical hologram.
The spatial light modulator can be actively controlled by a computer to modulate individual parameters of the light field, such as the amplitude of the light field, the phase of the light field and the propagation direction of the light wave, and even realize the conversion of incoherent-coherent light, thereby writing certain information into the light wave and achieving the purpose of light wave modulation. The optical information processing system can conveniently load information into a passing optical field, and achieves the purposes of real-time optical information processing, optical interconnection, optical calculation and the like.
The spatial light modulator can realize the recording and the reappearing of three-dimensional real images as the holographic optics by combining the computer holographic technology, has obvious advantages compared with the holographic optics, and has the advantages of strong anti-interference capability, high repeatability, capability of showing physical real images which do not exist in reality, capability of quickly changing and displaying different three-dimensional figures and the like.
Disclosure of Invention
The invention provides a high-speed additive manufacturing method and device for an optical holographic complex structure, and aims to overcome the step effect in the current photocuring additive manufacturing and forming process, avoid the layering phenomenon caused by stacking additive manufacturing layers in principle, provide a new method for high-speed additive manufacturing of complex parts, greatly improve the forming speed and forming quality and realize high-speed, high-efficiency and high-quality additive manufacturing of the complex structure.
The technical scheme adopted by the invention is as follows: comprises the following steps:
(1) Designing the structure of the required formed part by adopting a computer and manufacturing a three-dimensional model;
(2) Sampling the three-dimensional model in the step (1), wherein the total sampling point number is N:
it is known that: the maximum sizes of the three-dimensional model in the X-Y-Z directions are X ', Y ' and Z ', and the sampling interval in the X direction is X 0 The sampling point is
Figure BDA0001207758390000021
A sampling pitch Y in the Y direction 0 The sampling point is>
Figure BDA0001207758390000022
A sampling pitch in the Z direction of Z 0 The sampling point is->
Figure BDA0001207758390000023
Number of total sample points->
Figure BDA0001207758390000024
(3) And (3) calculating the amplitude and phase distribution on the spatial light modulator after the interference of the sampling points in the step (2) according to a point source set method, and expressing the amplitude and phase distribution into the form of amplitude and phase:
amplitude phase distribution H (x) of spatial light modulator m ,y m ,0):
Figure BDA0001207758390000025
Nth sample point (x) n ,y n ,z n ) Pixel point (x) m from the spatial light modulator m ,y m Distance of 0):
Figure BDA0001207758390000026
it is known that: the nth sampling point of the three-dimensional model has the coordinate of (x) n ,y n ,z n ) The mth pixel point coordinate of the spatial light modulator is (x) m ,y m ,0),A n Is the amplitude of the sample point at the nth point, and A (x, y, 0) is the excitationAmplitude, phi, of light after interference on the null modulator n Is the phase of the nth sample point, phi m The phase after the m-th pixel point of the light modulator is interfered is empty, namely the modulation phase of the m-th pixel point,
Figure BDA0001207758390000031
expressing wave number, lambda is the wavelength of the pulse laser in the liquid photosensitive resin;
(4) According to the modulation phase phi of the mth pixel point of the spatial light modulator obtained in the step (3) m To modulation amplitude A m And (3) calculating:
m pixel point (x) modulated by spatial light modulator m ,y m And, 0) can be expressed as:
H(x m ,y m .0)=A m exp(iφ m )……(1)
A m for the modulation amplitude of the m-th pixel of the spatial light modulator, phi is known m The modulation phase of the m-th pixel point after the spatial light modulator is modulated;
the laser interference forms a three-dimensional model real image after the modulation of the spatial light modulator, and the q-th point (x) of the three-dimensional model real image q ,y q ,z q ) Amplitude-phase distribution of (2):
Figure BDA0001207758390000032
the distance between the q point on the real image of the three-dimensional model and the m pixel point of the spatial light modulator is as follows:
Figure BDA0001207758390000033
it is known that: the coordinate of the q-th point of the real image of the three-dimensional model is (x) q ,y q ,z q ) M is the number of the pixels of the spatial light modulator; q point of real image of three-dimensional model (x) q ,y q ,z q ) Amplitude-phase distribution H (x) of q ,y q ,z q ) Can be expressed as:
H(x q ,y q ,z q )=A q exp(iφ q )……(4)
q point (x) of real image of three-dimensional model q ,y q ,z q ) Energy E (x) of q ,y q ,z q ) Comprises the following steps:
Figure BDA0001207758390000034
the energy threshold for curing liquid photosensitive resin is known as Δ E, A q Amplitude of the q-th point of the real image of the three-dimensional model, phi q Phase of a q-th point of the real image of the three-dimensional model, and mu is magnetic conductivity of the pulse laser in the liquid photosensitive resin;
the m pixel point modulation amplitude A of the spatial light modulator can be obtained by simultaneous formulas (1), (2), (3), (4) and (5) m
(5) Modulating amplitude A of mth pixel point of the spatial light modulator in the step (4) m Modulation phase phi m Inputting into a spatial light modulator;
(6) The laser generates pulse laser, and the pulse laser forms required incident pulse laser after being filtered and collimated by the spatial filter and the collimating mirror and is emitted into the spatial light modulator;
(7) Modulating the amplitude A by the spatial light modulator according to the input in the step (5) m And a modulation phase phi m Carrying out amplitude and phase modulation on the incident pulse laser in the step (6), wherein the amplitude is modulated to A m Phase modulated to phi m Injecting the laser beam into the liquid photosensitive resin through a condenser lens in the form of transmission pulse laser, and forming a real image of the required formed part by the interference of the pulse laser;
(8) The real image position (x) of the required formed part in the step (7) q ,y q ,z q ) Because the pulse laser interference is obvious, the amplitude and energy of the pulse laser are larger than the energy threshold required by the curing of the liquid photosensitive resin, the liquid photosensitive resin at the position is initiated to be polymerized and cured, and the energy of the laser at the rest part is smaller than the energy threshold required by the curing of the liquid photosensitive resin and is not cured, so that the required energy is obtainedA blank of a shaped part;
(9) And (5) cleaning and polishing the blank obtained in the step (8) to obtain a final formed part.
The incident angle theta of the incident pulse laser in the step (5) of the invention when being injected into the spatial light modulator is in the range of 0-10 degrees.
A high-speed additive manufacturing device with an optical holographic complex structure comprises a laser, a spatial filter, a collimating mirror, a spatial light modulator, a condenser, an isolation chamber, a transmission window and a liquid storage tank; the space filter is installed above the laser, the collimating mirror is installed above the space filter, the space light modulator is installed above the collimating mirror, the collecting mirror is installed above the space light modulator, the laser, the space filter, the collimating mirror, the space light modulator and the collecting mirror are all installed in the isolation chamber and are arranged in sequence through an optical path according to the laser and are all located on the optical path, the transmission window is installed on the isolation chamber and is located at the tail end of the optical path, and the isolation chamber is installed in the liquid storage tank and is located at the middle position of the bottom of the liquid storage tank.
The laser can generate pulse laser with single stable wavelength.
The transmission window is made of glass materials, and the upper surface and the lower surface of the transmission window are optical planes.
According to the invention, the phase and amplitude information of the surface light wave of the object is calculated and input into the spatial light modulator, pulse laser emitted by the laser enters the spatial light modulator through the airborne filter and the collimating mirror, the light wave with the amplitude and the phase modulated according to the calculation result is injected into the liquid photosensitive resin through the condensing mirror and reproduces a three-dimensional object real image, the liquid photosensitive resin at the real image just absorbs curing energy to be cured, the integral high-speed molding of the complex structural member is realized, the integral one-step molding avoids the step effect generated by stacking layer upon layer, the molding time is greatly shortened, and the molding speed and the molding quality are improved.
The invention has the advantages that: a novel optical holographic additive manufacturing principle is provided, and the layering phenomenon caused by layer-by-layer stacking in the additive manufacturing process is avoided in principle; the holographic technology can be utilized to generate a three-dimensional model real image in liquid photosensitive, the liquid photosensitive resin at the real image is cured at a high speed to realize the high-speed one-step forming of a three-dimensional whole, and the forming speed is greatly improved; by adopting the computer-generated hologram and the spatial light modulator, the problems of weak interference resistance, weak repeatability and the like in holographic optics are avoided, and the reconstruction and the solidification of any complex structure object can be realized by combining the device disclosed by the invention.
Drawings
FIG. 1 is a schematic structural view of an additive manufacturing apparatus according to the present invention;
FIG. 2 is a schematic structural diagram of a laser 1, a spatial filter 2, a collimating mirror 3, a spatial light modulator 4, a condensing mirror 5, an isolation chamber 6 and a transmission window 7 according to the present invention;
FIG. 3 is a schematic diagram of the additive manufacturing method of the present invention showing the relative positions and coordinate relationships of the three-dimensional model, the spatial light modulator, and the real image of the three-dimensional model during the phase and amplitude calculations;
fig. 4 is a schematic diagram of the incident angle of the incident laser light to the spatial light modulator according to the present invention.
Detailed Description
The invention relates to a high-speed additive manufacturing method and a device of an optical holographic complex structure. The phase information of the surface light wave of the object is calculated through a computer-generated holography technology and is input into a spatial light modulator, meanwhile, the light wave amplitude which is required to be modulated by the spatial light modulator is solidified and calculated according to the fact that the light intensity of each point reproducing a real image is just equal to the solidification threshold value of liquid photosensitive resin, the light wave amplitude is input into the spatial light modulator, pulse laser emitted by a laser enters the spatial light modulator through a space-dropping filter and a collimating mirror, the light wave of which the amplitude and the phase are modulated through the spatial light modulator according to the calculation result is emitted into the liquid photosensitive resin through a condensing mirror and reproduces a three-dimensional object real image, the liquid photosensitive resin at the real image just absorbs solidification energy to be solidified, and the integral high-speed forming of the complex structural part is achieved.
Fig. 1 is a schematic view of the additive manufacturing method of the present invention, which comprises the following specific steps:
(1) Designing the structure of the required formed part by adopting a computer and manufacturing a three-dimensional model;
(2) Sampling the three-dimensional model in the step (1), wherein the total sampling point number is N:
it is known that: the maximum sizes of the three-dimensional model in the X-Y-Z directions are X ', Y ' and Z ', and the sampling interval in the X direction is X 0 The sampling point is
Figure BDA0001207758390000051
A sampling pitch Y in the Y direction 0 The sampling point is>
Figure BDA0001207758390000052
A sampling pitch in the Z direction of Z 0 The sampling point is->
Figure BDA0001207758390000053
Number of total sampling points>
Figure BDA0001207758390000054
(3) And (3) calculating the amplitude and phase distribution on the spatial light modulator after the interference of the sampling points in the step (2) according to a point source set method, and expressing the amplitude and phase distribution into the form of amplitude and phase:
amplitude phase distribution H (x) of spatial light modulator m ,y m ,0):
Figure BDA0001207758390000061
Nth sample point (x) n ,y n ,z n ) Pixel point m (x) from spatial light modulator m ,y m Distance of 0):
Figure BDA0001207758390000062
it is known that: the nth sampling point of the three-dimensional model has the coordinate of (x) n ,y n ,z n ) The mth pixel point coordinate of the spatial light modulator is (x) m ,y m ,0),A n Is the nth pointThe amplitude of the sample point, A (x, y, 0), is the amplitude of the laser after interference on the null modulator, φ n Is the phase of the nth sample point, phi m The phase after the m-th pixel point of the light modulator is interfered is empty, namely the modulation phase of the m-th pixel point,
Figure BDA0001207758390000063
expressing wave number, lambda is the wavelength of the pulse laser in the liquid photosensitive resin;
(4) According to the modulation phase phi of the mth pixel point of the spatial light modulator obtained in the step (3) m To modulation amplitude A m And (3) calculating:
m pixel point (x) modulated by spatial light modulator m ,y m And, 0) can be expressed as:
H(x m ,y m .0)=A m exp(iφ m )……(1)
A m for the modulation amplitude of the m-th pixel of the spatial light modulator, phi is known m The modulation phase of the m-th pixel point after the spatial light modulator is modulated;
the laser interference forms a three-dimensional model real image after the modulation of the spatial light modulator, and the q-th point (x) of the three-dimensional model real image q ,y q ,z q ) Amplitude-phase distribution of (2):
Figure BDA0001207758390000064
the distance between the qth point on the real image of the three-dimensional model and the mth pixel point of the spatial light modulator is as follows:
Figure BDA0001207758390000065
it is known that: the coordinate of the q point of the real image of the three-dimensional model is (x) q ,y q ,z q ) M is the number of the pixels of the spatial light modulator; q point (x) of real image of three-dimensional model q ,y q ,z q ) Amplitude-phase distribution H (x) of q ,y q ,z q ) Can be expressed as:
H(x q ,y q ,z q )=A q exp(iφ q )……(4)
q point of real image of three-dimensional model (x) q ,y q ,z q ) Energy E (x) of q ,y q ,z q ) Comprises the following steps:
Figure BDA0001207758390000071
the energy threshold for curing of liquid photosensitive resins is known as Δ E, A q Amplitude of the q-th point of the real image of the three-dimensional model, phi q Phase of a q-th point of the real image of the three-dimensional model, and mu is magnetic conductivity of the pulse laser in the liquid photosensitive resin;
the m pixel modulation amplitude A of the spatial light modulator can be obtained by simultaneous formulas (1), (2), (3), (4) and (5) m
(5) Modulating amplitude A of mth pixel point of the spatial light modulator in the step (4) m Modulation phase phi m Inputting into a spatial light modulator;
(6) The laser generates pulse laser, and the pulse laser forms required incident pulse laser after being filtered and collimated by the spatial filter and the collimating mirror and is emitted into the spatial light modulator;
(7) Modulating the amplitude A by the spatial light modulator according to the input in the step (5) m And a modulation phase phi m Carrying out amplitude and phase modulation on the incident pulse laser in the step (6), wherein the amplitude is modulated to A m Phase modulated to phi m Injecting the laser beam into the liquid photosensitive resin through a condenser lens in the form of transmission pulse laser, and forming a real image of the required formed part by the interference of the pulse laser;
(8) The real image position (x) of the required formed part in the step (7) q ,y q ,z q ) Because the pulse laser interference is obvious, the amplitude and energy of the pulse laser are larger than the energy threshold required by the curing of the liquid photosensitive resin, the liquid photosensitive resin is initiated to be polymerized and cured, and the energy of the rest laser is smaller than the energy required by the curing of the liquid photosensitive resinCuring is not carried out at the threshold value, and a blank of the required forming part is obtained;
(9) And (5) cleaning and polishing the blank obtained in the step (8) to obtain a final formed part.
As shown in fig. 4, the incident angle θ at which the incident pulse laser beam is incident on the spatial light modulator is in the range of 0 ° to 10 °.
The invention also provides a high-speed additive manufacturing device with an optical holographic complex structure based on the method, which comprises a laser 1, a spatial filter 2, a collimating mirror 3, a spatial light modulator 4, a condenser 5, an isolation chamber 6, a transmission window 7 and a liquid storage tank 8, wherein the spatial filter 2, the collimating mirror 3, the spatial light modulator 4, the condenser 5, the isolation chamber 8 and the liquid storage tank are arranged in sequence;
spatial filter 2 installs in 1 top of laser instrument, and collimating mirror 3 installs in 2 tops of spatial filter, and spatial light modulator 4 installs in 3 tops of collimating mirror, and condenser 5 installs in 4 tops of spatial light modulator, and laser instrument 1, spatial filter 2, collimating mirror 3, spatial light modulator 4, condenser 5 all install in isolation room 6 and arrange and all be located optical path according to laser through optical path order, and transmission window 7 installs on isolation room 6 and is located optical path end, and isolation room 6 installs in reservoir 8 and is located reservoir bottom intermediate position.
The laser 1 is capable of generating a single stable wavelength of pulsed laser light.
The transmission window 7 is made of glass material, and the upper surface and the lower surface of the transmission window are optical planes 701.

Claims (2)

1. A high-speed additive manufacturing method of an optical holographic complex structure is characterized by comprising the following steps:
(1) Designing the structure of the required formed part by adopting a computer and manufacturing a three-dimensional model;
(2) Sampling the three-dimensional model in the step (1), wherein the total sampling point number is N:
it is known that: the maximum sizes of the three-dimensional model in the X-Y-Z directions are X ', Y ' and Z ', and the sampling interval in the X direction is X 0 The sampling point is
Figure FDA0004080550450000011
A sampling pitch Y in the Y direction 0 The sampling point is->
Figure FDA0004080550450000012
A sampling pitch in the Z direction of Z 0 The sampling point is->
Figure FDA0004080550450000013
Number of total sample points->
Figure FDA0004080550450000014
(3) And (3) calculating the amplitude and phase distribution on the spatial light modulator after the interference of the sampling points in the step (2) according to a point source set method, and expressing the amplitude and phase distribution into the form of amplitude and phase:
amplitude phase distribution H (x) of spatial light modulator m ,y m ,0):
Figure FDA0004080550450000015
Nth sample point (x) n ,y n ,z n ) Pixel point (x) m from the spatial light modulator m ,y m Distance of 0):
Figure FDA0004080550450000016
it is known that: the nth sampling point of the three-dimensional model has the coordinate of (x) n ,y n ,z n ) The mth pixel point coordinate of the spatial light modulator is (x) m ,y m ,0),A n Is the amplitude of the sample point at the nth point, and A (x, y, 0) is the amplitude of the laser after interference on the spatial light modulator, phi n Is the phase of the nth sample point, phi m The phase after the interference of the mth pixel point of the spatial light modulator is the modulation phase of the mth pixel point,
Figure FDA0004080550450000017
expressing wave number, lambda is the wavelength of the pulse laser in the liquid photosensitive resin;
(4) According to the modulation phase phi of the mth pixel point of the spatial light modulator obtained in the step (3) m To modulation amplitude A m And (3) calculating:
m pixel point (x) modulated by spatial light modulator m ,y m And, 0) can be expressed as:
H(x m ,y m ,0)=A m exp(iφ m )……(1)
A m for the modulation amplitude of the m-th pixel of the spatial light modulator, known as phi m The modulation phase of the m-th pixel point after the spatial light modulator is modulated;
the laser interference forms a three-dimensional model real image after the modulation of the spatial light modulator, and the q-th point (x) of the three-dimensional model real image q ,y q ,z q ) Amplitude-phase distribution of (2):
Figure FDA0004080550450000021
the distance between the qth point on the real image of the three-dimensional model and the mth pixel point of the spatial light modulator is as follows:
Figure FDA0004080550450000022
it is known that: the coordinate of the q point of the real image of the three-dimensional model is (x) q ,y q ,z q ) M is the number of pixel points of the spatial light modulator; q point (x) of real image of three-dimensional model q ,y q ,z q ) Amplitude-phase distribution H (x) of q ,y q ,z q ) Can be expressed as:
H(x q ,y q ,z q )=A q exp(iφ q )……(4)
q point (x) of real image of three-dimensional model q ,y q ,z q ) Energy E (x) of q ,y q ,z q ) Comprises the following steps:
Figure FDA0004080550450000023
the energy threshold for curing of liquid photosensitive resins is known as Δ E, A q Amplitude of the q-th point of the real image of the three-dimensional model, phi q Phase of a q-th point of the real image of the three-dimensional model, and mu is magnetic conductivity of the pulse laser in the liquid photosensitive resin;
the m pixel modulation amplitude A of the spatial light modulator can be obtained by simultaneous formulas (1), (2), (3), (4) and (5) m
(5) Modulating amplitude A of mth pixel point of the spatial light modulator in the step (4) m Modulation phase phi m Inputting into a spatial light modulator;
(6) The laser generates pulse laser, and the pulse laser forms required incident pulse laser after being filtered and collimated by the spatial filter and the collimating mirror and is emitted into the spatial light modulator;
(7) Modulating the amplitude A by the spatial light modulator according to the input in the step (5) m And a modulation phase phi m Carrying out amplitude and phase modulation on the incident pulse laser in the step (6), wherein the amplitude is modulated to A m Phase modulated to phi m Injecting the laser beam into the liquid photosensitive resin through a condenser lens in the form of transmission pulse laser, and forming a real image of the required formed part by the interference of the pulse laser;
(8) The real image position (x) of the required formed part in the step (7) q ,y q ,z q ) Because the pulse laser interference is obvious, the amplitude and the energy of the pulse laser are larger than the energy threshold required by the solidification of the liquid photosensitive resin, the liquid photosensitive resin at the position is initiated to be polymerized and solidified, and the rest laser energy is smaller than the energy threshold required by the solidification of the liquid photosensitive resin and is not solidified, so that a blank of a required formed part is obtained;
(9) And (5) cleaning and polishing the blank obtained in the step (8) to obtain a final formed part.
2. The optical holographic high-speed additive manufacturing method of claim 1, wherein: the range of the incident angle theta of the incident pulse laser in the step (5) when the incident pulse laser is incident into the spatial light modulator is 0-10 degrees.
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