CN104199266A - Cylinder calculation holographic recording method based on inward transmission model - Google Patents
Cylinder calculation holographic recording method based on inward transmission model Download PDFInfo
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- CN104199266A CN104199266A CN201410330938.XA CN201410330938A CN104199266A CN 104199266 A CN104199266 A CN 104199266A CN 201410330938 A CN201410330938 A CN 201410330938A CN 104199266 A CN104199266 A CN 104199266A
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- holographic recording
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Abstract
The invention provides a cylinder calculation holographic recording method based on an inward transmission model. The method comprises the following steps: establishing a coaxial double-cylinder inward transmission model, wherein an inner cylinder is taken as a holographic recording surface, and an outer cylinder is taken as any layer of section of an object in order that the size of the recorded object is not limited; calculating the light field distribution of object light on the holographic recording surface by using a point source method; calculating the light field distribution of reference light on the holographic recording surface by using the point source method in a way of taking a coaxial inner cylinder of which the radius is approximate to zero; overlapping the light fields of the object light and the reference light on the holographic recording surface to obtain a calculated hologram. The hologram obtained by using the method has the three-dimensional display features of maximum viewing angle of 360 degrees and no limitation on the size of the recorded object in case of occurrence.
Description
Technical field
The present invention relates to a kind of hologram recording method, be specifically related to a kind of cylinder calculation holographic recording method based on inside propagation model.
Background technology
Hologram three-dimensional shows whole depth cueings that the perception of human eye institute energy can be provided, and is the visual means of ideal three-dimensional that meet human eye and watch custom.Compared with traditional optical holography, calculation holographic technology has been avoided the restriction of holographic physical record light path, not only can show dummy object, and can show real scene to there is the remarkable advantage such as storage and transmission that making is simple, efficiency is high, cost is low and be convenient to information.But calculation holographic 3-D display also exist at present visual angle limited, be recorded the restrictions such as object is limited.
2008, South Korea Seoul university has proposed to utilize curvilinear style array spatial photomodulator (SLM) to realize the expansion of holographic 3D reproduction as horizontal view angle, by add curve pattern formula lens combination before SLM, load hologram to SLM and control display timing generator, the horizontal view angle of reproducing picture can reach 22.8 °.2011, the scholars such as Belgian Stahl, by the high-resolution modulator of research, realized the target of making 1,000,000 microdiffraction devices (DND) on chip piece, and its Pixel Dimensions is below 1 μ m, and the visual angle of reproducing picture reaches 30 °.
In order thoroughly to break through the visual angle problem of plane computations holography, 2005, Japanese University of tsukuba proposed a kind of recording method of the cylinder calculation holographic that can realize 360 ° of visual angles, and the method has been set up the cylinder hologram recording method based on outside propagation model first.2010, Japanese Utsunomiya university, for this cylinder hologram recording method, proposed the fast algorithm based on frequency domain, has further promoted the application development of cylinder calculation holographic.But this type of hologram recording method still exists and is recorded the limited shortcoming of dimension of object.
Summary of the invention
What the present invention is directed to that above-mentioned cylinder calculation holographic recording method exists is recorded the limited shortcoming of dimension of object, proposes a kind of cylinder calculation holographic recording method based on the inside propagation model of coaxial bicylindrical.
The method is achieved through the following technical solutions:
The first, set up the inside propagation model of coaxial bicylindrical, inner cylinder is as holographic recording face, and outer cylinder is as any one deck cylinder tangent plane of three-dimensional body, the size of the object being recorded so just can not be restricted.
Second, utilize the optical field distribution of object light on point source method calculation holographic record surface, that is: suppose that three-dimensional object plane is the set of pointolite, the optical field distribution of any point of object light on holographic recording face is that pointolites all on object plane inwardly propagates into the cumulative of optical field distribution inter normal durection component on this holographic recording point, repeats above process and can obtain the object light optical field distribution of all measuring point on holographic recording face on holographic recording face; Wherein, inwardly the outer cylinder of propagation model is any one tangent plane of three-dimensional body, each tangent plane all can be applied object light that said method removes to calculate this layer of tangent plane optical field distribution on holographic recording face, and optical field distribution by the object light on all tangent planes on holographic recording face is cumulative can obtain the optical field distribution of whole three-dimensional body on holographic recording face.
The 3rd, set up the reference light model of coaxial inner cylinder, it pays the utmost attention to cylinder radius close to zero, height equates with the vertical axle of cylinder model, on cylinder, there is the set of an outer normal to form reference light, reference light is just approximate is like this line source of pointolite composition, the optical field distribution of any point of reference light on holographic recording face is that pointolites all on reference light model outwards propagates into the cumulative of optical field distribution outer normal durection component on this holographic recording point, on holographic recording face, repeat the optical field distribution that above process can obtain reference light on holographic recording face.
The 4th, the object light light field on holographic recording face and reference light light field superimposed (interference) just can obtain the optical field distribution on holographic recording face, process and obtain hologram through coding.
A part for cylinder model can be only chosen in this invention in application process, for example 1/3rd i.e. cylinders of 120 °, and the visual angle that can realize 120 ° shows.
In addition, in inside propagation model of the present invention, object light and reference light can be visible rays, can be also invisible lights, and the electromagnetic wave of any wavelength is all suitable in theory.
The present invention calculates the hologram of generation type, can be Fresnel hologram or Fourier hologram, can be also image hologram.
When hologram reconstruction that recording method of the present invention obtains, owing to being the hologram of cylinder, it just has the visual angle of maximum 360 ° naturally; Because recording mode is inside propagation, holographic recording face is interior, and is recorded object outside, thereby the size that is recorded object just can not be restricted.
the description of the drawings
Accompanying drawing 1 is mathematical model and the geometric relationship schematic diagram of the cylinder calculation holographic recording method based on inside propagation model.
Accompanying drawing 2 is taking character " Sichuan University " figure as cylindrical picture.
Shown by reference numeral in above-mentioned accompanying drawing is:
1: three-dimensional object plane, 2: holographic recording face, 3: three-dimensional article radius surface
r 1 , 4: holographic recording radius surface
r 2 , 5: three-dimensional object plane 1 P of meaning that takes up an official post, 6: upper any point Q, 7: three-dimensional object plane take up an official post the meaning subpoint of 1 P in xoy plane and the angle of ox axle
θ 1 , 8: the subpoint of any point Q in xoy plane and the angle of ox axle on holographic recording face
θ 2 , 9: the take up an official post geometric distance of any point Q on 1 P of meaning and holographic recording face of three-dimensional object plane
d pQ
Note: above-mentioned accompanying drawing just schematically, is not drawn in proportion.
Embodiment
Now with reference to accompanying drawing, to basis, bright the present invention is further elaborated and is:
Accompanying drawing 1 is a kind of mathematical model and geometric relationship schematic diagram of the cylinder calculation holographic recording method based on inside propagation model.Wherein outer cylinder is three-dimensional object plane, and radius is
r 1 ; Inner cylinder is holographic recording face, and radius is
r 2 ; Reference light model is radius close to zero cylinder, and radius is
r 0 be tending towards 0; The height of model is
h,
ofor
xyzthe initial point of coordinate system is also the initial point of cylindrical coordinate system.
Suppose
ppoint is any point on object plane, and the coordinate of its cylindrical coordinate system is
p(
θ 1 ,
z 1 );
qpoint is any point on holographic recording face, and the coordinate of its cylindrical coordinate system is
q(
θ 2 ,
z 2 );
rpoint is any point on reference light model face, and the coordinate of its cylindrical coordinate system is
r(
θ 0 ,
z 0 ); According to geometric relationship analysis as shown in the figure,
ppoint with
qdistance between point is
d pQ , its computing formula is:
（1）
According to pointolite propagation formula, inwardly the Diffraction Calculation formula of propagation model is:
（2）
Wherein
f(
θ 1 ,
z 1 ) and
o(
θ 2 ,
z 2 ) be respectively object light in object plane and holographic recording face optical field distribution.Wherein λ and
kdo not represent specified wavelength and corresponding wave number thereof.
In like manner, according to pointolite propagation formula, reference light outwards propagates on holographic recording face, and its optical field distribution computing formula is:
（3）
Wherein
r 0 (
θ 0 ,
z 0 ) and
r(
θ 2 ,
z 2 ) be respectively reference light in reference light model face and holographic recording face optical field distribution.With
ppoint with
qdot spacing from formula similarly,
qpoint with
rdistance between point
d rQ computing formula is:
（4）
The computing method of holographic recording face optical field distribution are:
（5）
Wherein
h(
θ 2 ,
z 2 ) be after reference light and object light are interfered on holographic recording face, the intensity distributions being recorded on holographic recording face.
For this cylinder calculation holographic recording method, the reproducting method of the reproducting method of its hologram and general hologram is similar, will reproduce light source and use conjugation reference light, and the present invention is not repeated.
embodiment:
By the following example, the present invention is described in more detail, but the invention is not restricted to these embodiment.
In the application process of this invention, need to be to parameter
h,
r 1 ,
r 2 ,
r 0 ,λ selectes.Set
h,
r 1 ,
r 2 ,
r 0 be respectively 1000,1000,100,1mm.Considering that visible wavelength range needs super amount theoretical sampled point, is 3000 μ m therefore adopt the wavelength X in Terahertz region.The hits of vertical axial is 512, and the axial sampling number of circumference is also 512, and sampling interval is 2 π/512.Reference light model is with radius and is highly respectively the buttress shaft face of 1mm and 1000mm.
One: two interference experiment of example, the light source position of 2 points lays respectively at
θ 1 =π/32 and π/32, highly
z 1 =500mm.2 pointolite diffraction propagations calculate according to formula (1) and (2) to the light field of holographic recording face, reference light propagates into the light field of holographic recording face and calculates according to formula (3) and (4), and the optical field distribution after 2 pointolites and reference light propagate into and interfere on holographic recording face is calculated according to formula (4).
Example two: cylindrical picture experiment, see accompanying drawing 2 taking character " Sichuan University " figure as cylindrical picture.Its object light diffraction propagation calculates according to formula (1) and (2) to the light field of holographic recording face, reference light propagates into the light field of holographic recording face and calculates according to formula (3) and (4), and the optical field distribution after 2 pointolites and reference light propagate into and interfere on holographic recording face is calculated according to formula (5).
These 2 examples have provided design parameter of the present invention and application process, have practical value.
Claims (6)
1. the cylinder calculation holographic recording method based on inside propagation model, it is characterized in that, said method comprising the steps of: first, set up the inside propagation model of coaxial bicylindrical, inner cylinder is as holographic recording face, and outer cylinder is as any one deck tangent plane of object; Secondly, utilize the optical field distribution of object light on point source method calculation holographic record surface; Then, set up reference light model, it is preferentially the line source of an approximate pointolite composition, utilizes the optical field distribution of reference light on point source method calculation holographic record surface; Finally, the light field interference that object light and reference light propagate on holographic recording face just can obtain hologram.
2. according to a kind of cylinder calculation holographic recording method based on inside propagation model described in claim 1, it is characterized in that, the holographic recording face of described inside propagation model is in inside, and the light field that is positioned at the three-dimensional body of inside propagation model outer cylinder is inwardly to propagate the holographic recording face that arrives; Wherein, inwardly the outer cylinder of propagation model is any one tangent plane of three-dimensional body, each tangent plane all can be applied object light that method of the present invention removes to calculate this layer of tangent plane optical field distribution on holographic recording face, and optical field distribution by the object light on all tangent planes on holographic recording face is cumulative can obtain the optical field distribution of whole three-dimensional body on holographic recording face.
3. according to a kind of cylinder calculation holographic recording method based on inside propagation model described in claim 1, it is characterized in that, described reference light model is paid the utmost attention to cylinder radius close to zero, height equates with the vertical axle of cylinder model, the reference light that has the set of an outer normal to form on cylinder, this reference light is approximate is the line source of pointolite composition.
4. according to a kind of cylinder calculation holographic recording method based on inside propagation model described in claim 1, the shape of described inside propagation model can be complete cylinder, also can be a part, when corresponding hologram reconstruction, just there is corresponding part angle of visibility.
5. according to a kind of cylinder calculation holographic recording method based on inside propagation model described in claim 1, described object light and reference light can be visible rays, can be also invisible lights, and the electromagnetic wave of any wavelength is all suitable in theory.
6. according to a kind of cylinder calculation holographic recording method based on inside propagation model described in claim 1, it can be Fresnel hologram or Fourier hologram that described inside propagation model calculates the hologram generating, and can be also image hologram.
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106325032A (en) * | 2016-09-28 | 2017-01-11 | 中国石油大学(华东) | Digital holographic recording device with off-axis angle precisely adjustable in real time |
| CN111624865A (en) * | 2020-06-04 | 2020-09-04 | 四川大学 | Cylindrical holographic occlusion removing method based on optical path restriction function |
| CN113589671A (en) * | 2021-07-01 | 2021-11-02 | 四川大学 | Conical surface holographic display method for enlarging vertical field angle |
| CN113758559A (en) * | 2021-09-15 | 2021-12-07 | 哈尔滨工程大学 | Method for measuring shallow sea channel based on scattering sound field separation algorithm |
| CN114995083A (en) * | 2022-05-13 | 2022-09-02 | 四川大学 | Cylindrical holographic display method based on planar spatial light modulator |
-
2014
- 2014-07-14 CN CN201410330938.XA patent/CN104199266A/en active Pending
Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106325032A (en) * | 2016-09-28 | 2017-01-11 | 中国石油大学(华东) | Digital holographic recording device with off-axis angle precisely adjustable in real time |
| CN106325032B (en) * | 2016-09-28 | 2018-07-24 | 中国石油大学(华东) | A kind of adjustable digital hologram recording device of off-axis angle real-time accurate |
| CN111624865A (en) * | 2020-06-04 | 2020-09-04 | 四川大学 | Cylindrical holographic occlusion removing method based on optical path restriction function |
| CN111624865B (en) * | 2020-06-04 | 2021-11-02 | 四川大学 | Cylindrical holographic occlusion removing method based on optical path restriction function |
| CN113589671A (en) * | 2021-07-01 | 2021-11-02 | 四川大学 | Conical surface holographic display method for enlarging vertical field angle |
| CN113758559A (en) * | 2021-09-15 | 2021-12-07 | 哈尔滨工程大学 | Method for measuring shallow sea channel based on scattering sound field separation algorithm |
| CN114995083A (en) * | 2022-05-13 | 2022-09-02 | 四川大学 | Cylindrical holographic display method based on planar spatial light modulator |
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Application publication date: 20141210 |