CN104062757A - Phase distribution design method for phased array multi-beam three-dimensional scanning - Google Patents
Phase distribution design method for phased array multi-beam three-dimensional scanning Download PDFInfo
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- CN104062757A CN104062757A CN201410298676.3A CN201410298676A CN104062757A CN 104062757 A CN104062757 A CN 104062757A CN 201410298676 A CN201410298676 A CN 201410298676A CN 104062757 A CN104062757 A CN 104062757A
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- phase distribution
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- complex amplitude
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Abstract
The invention pertains to the technical field of diffraction optics, and specially relates to a phase distribution design method for phased array multi-beam three-dimensional scanning. On the basis of the classical GAA method, multiple planes are introduced at the far field in the axial direction, a multi-plane GAA method model is established, a plurality of phase distributions for driving a phased array are established, and the three-dimensional scanning control of multiple beams of the phased array can be realized. According to the invention, a new phase distribution design method is provided for phased array multi-beam three-dimensional scanning control, and the method can be used to improve the uniformity of the controlled beam focal spot compared with the multi-plane GS method.
Description
Technical field
The invention belongs to diffraction optics technical field, particularly relate to a kind of PHASE DISTRIBUTION method for designing that can be used for phased array multiple beam 3-D scanning.
Background technology
Phased array is the pure phase-type diffraction element of a kind of PHASE DISTRIBUTION control able to programme, and it is arranged in a combination by phase control unit one by one, the phase delay control able to programme of each phased array unit, and all phase unit in phased array form PHASE DISTRIBUTION.Control the scan control that PHASE DISTRIBUTION in phased array just can reach the light wave on it to incident, i.e. phased array beam flying technology.
Phased array multibeam scanning technology is the important channel of realizing the optical systems such as laser radar, laser weapon, laser fine processing, laser engraving, light tweezers, and the core of multibeam scanning control based on phased array is the PHASE DISTRIBUTION design in phased array.At present, existing PHASE DISTRIBUTION method for designing is only applicable to the two-dimensional scan of light beam mostly, and Typical Representative mainly contains: blazed grating method, poplar-Gu Fangfa and GAA (Generalized Adaptive-Additive) method etc.
Summary of the invention
The object of the invention is to propose a kind of design of the PHASE DISTRIBUTION for phased array multiple beam 3-D scanning of invention new method.On the basis of classical GAA (Generalized Adaptive-Additive) method, axially introduce many planes in far field, set up many planes GAA method model, be designed for the multiple PHASE DISTRIBUTION that drive phased array based on this many plane GAA method, to realize the 3-D scanning control of the multiple light beams of phased array.
Technical matters to be solved by this invention is: a kind of PHASE DISTRIBUTION method for designing for phased array multiple beam 3-D scanning, on the basis of classical GAA method, axially introduce many planes in far field, set up many planes GAA method model, be designed for the multiple PHASE DISTRIBUTION that drive phased array, realize the 3-D scanning control of the multiple light beams of phased array.
As a kind of optimal way: described in be designed for the multiple PHASE DISTRIBUTION that drive phased array step be:
Step 1,
the three-dimensional position of multiple light beam focal spots produces corresponding in far field
multiple PHASE DISTRIBUTION, the focal spot distribution of amplitudes of expecting in the plane of far field is
, and
at far field planimetric coordinates point
intensity be 1, other positions are 0 entirely, PHASE DISTRIBUTION iterative initial value is made as 0, the PHASE DISTRIBUTION in successive iterations can be determined by the inverse fourier transform in far field suppose it is now the
inferior iteration, has: far field target COMPLEX AMPLITUDE in many planes GAA method
for
(1)
Wherein,
for natural number,
,
need between 0 to 1, optimize and choose, generally be preferably 0.5,
be
the coordinate of far field, individual light beam focal spot place plane,
be
the PHASE DISTRIBUTION of inferior iteration after Fourier transform in the COMPLEX AMPLITUDE of the actual acquisition of far field plane,
for the PHASE DISTRIBUTION of this complex amplitude;
Step 2, the COMPLEX AMPLITUDE of PHASE DISTRIBUTION place plane
by the COMPLEX AMPLITUDE of far field plane
inverse fourier transform obtains, and specifically can be expressed as follows:
(2)
Wherein,
for the coordinate of PHASE DISTRIBUTION place plane,
for the distribution of amplitudes of PHASE DISTRIBUTION place planar lightfield now,
for the PHASE DISTRIBUTION of PHASE DISTRIBUTION place planar lightfield now,
be a negative lens PHASE DISTRIBUTION and
, wherein
for imaginary unit,
for optical wavelength,
for thing lens are to the distance of PHASE DISTRIBUTION place plane,
for the thing focal length of lens,
for the plane after movement is to the distance of reference planes, the Left or right according to the plane after mobile in reference planes,
can get positive sign or negative sign;
Step 3: the COMPLEX AMPLITUDE of PHASE DISTRIBUTION place plane
in PHASE DISTRIBUTION
retain, but distribution of amplitudes is all set to 1, obtains new COMPLEX AMPLITUDE
, it is expressed as:
（3）
Step 4: COMPLEX AMPLITUDE
the complex amplitude of the far field plane obtaining after Fourier transform
for:
(4)
Wherein,
be that a positive lens phase place is divided,
The calculating that iterates of above-mentioned four steps, until
convergence of approximation is in the set goal of setting far field plane, COMPLEX AMPLITUDE
iteration completes, now
be the corresponding control solving the
the PHASE DISTRIBUTION of individual light beam focal spot, more directly perceived in order to express, it can be expressed as
, multiple Beam Control need multiple PHASE DISTRIBUTION, so,
multiple Beam Control need
individual PHASE DISTRIBUTION is:
, multiple PHASE DISTRIBUTION stacks
formation composite phase distributes
be written into phased array, thereby reach the control of expection.
The invention has the beneficial effects as follows: the present invention provides a kind of new PHASE DISTRIBUTION method for designing for the control of phased array multiple beam 3-D scanning, and the more plane GS method of the method has improved the homogeneity of controlled light beam focal spot.The realization of the method is expected to develop a kind of multiple beam 3-D scanning new method for phased array.
Brief description of the drawings
Fig. 1 is that multiple beam focal spot principle schematic is controlled in the distribution of many planes GAA method designed phase.
Embodiment
As shown in Figure 1, the three-dimensional of the far-field focus position of the each light beam in multiple light beams is independently controlled, on each plane of motion, there is and only has a light beam focal spot, the corresponding PHASE DISTRIBUTION of each light beam focal spot, the corresponding multiple PHASE DISTRIBUTION of multiple light beams, multiple PHASE DISTRIBUTION form composite phase distribution and are used for driving LCD phased array, thereby three-dimensional independent control the in the far-field focus position of realizing each light beam in multiple light beams, it is planar two-dimensional movement of each focal spot, meanwhile, the plane at its place can move axially.
Foundation
(
for natural number) three-dimensional position of multiple light beam focal spots in far field actual different demands, produce corresponding
multiple PHASE DISTRIBUTION.Suppose control certain the
the PHASE DISTRIBUTION forming process of individual light beam focal spot is as follows:
The focal spot distribution of amplitudes of expecting in the plane of far field is
, and
at far field planimetric coordinates point
intensity be 1, other positions are entirely for 0(is
single luminous point); PHASE DISTRIBUTION iterative initial value is made as 0, and the PHASE DISTRIBUTION in successive iterations can be determined by following steps by the inverse fourier transform in far field suppose it is now
inferior iteration, has:
Step 1: set far field target COMPLEX AMPLITUDE in many planes GAA method
can be expressed as:
(1)
Wherein,
,
need between 0 to 1, optimize and choose, generally be preferably 0.5,
be
the coordinate of far field, individual light beam focal spot place plane,
be
the PHASE DISTRIBUTION of inferior iteration after Fourier transform in the COMPLEX AMPLITUDE of the actual acquisition of far field plane,
for the PHASE DISTRIBUTION of this complex amplitude,
Step 2: the COMPLEX AMPLITUDE of PHASE DISTRIBUTION place plane
by the COMPLEX AMPLITUDE of far field plane
inverse fourier transform obtains, and specifically can be expressed as follows:
(2)
Wherein,
for the coordinate of PHASE DISTRIBUTION place plane,
for the distribution of amplitudes of PHASE DISTRIBUTION place planar lightfield now,
for the PHASE DISTRIBUTION of PHASE DISTRIBUTION place planar lightfield now,
be a negative lens PHASE DISTRIBUTION and
, wherein
for imaginary unit,
for optical wavelength,
for thing lens are to the distance of PHASE DISTRIBUTION place plane,
for the thing focal length of lens,
for the plane after movement is to the distance of reference planes, the Left or right according to the plane after mobile in reference planes,
can get positive sign or negative sign.
Step 3: the COMPLEX AMPLITUDE of PHASE DISTRIBUTION place plane
in PHASE DISTRIBUTION
retain, but distribution of amplitudes is all set to 1, obtains new COMPLEX AMPLITUDE
, it is expressed as:
(3)
Step 4: new COMPLEX AMPLITUDE
the complex amplitude of the far field plane obtaining after Fourier transform
for:
(4)
Wherein,
be that a positive lens phase place is divided.
The calculating that iterates of above-mentioned four steps, until
convergence of approximation is in the set goal COMPLEX AMPLITUDE of setting far field plane
iteration completes, now
be the corresponding control solving the
the PHASE DISTRIBUTION of individual light beam focal spot, more directly perceived in order to express, it can be expressed as
.
Multiple Beam Control need multiple PHASE DISTRIBUTION, so,
multiple Beam Control need
individual PHASE DISTRIBUTION is:
, multiple PHASE DISTRIBUTION stacks
formation composite phase distributes
be written into phased array, thereby reach the expection control of multiple light beams.
Content of the present invention is not limited only to the content of the respective embodiments described above, and the combination of one of them or several embodiments equally also can realize the object of invention.
Claims (2)
1. the PHASE DISTRIBUTION method for designing for phased array multiple beam 3-D scanning, it is characterized in that: on the basis of classical GAA method, axially introduce many planes in far field, set up many planes GAA method model, be designed for the multiple PHASE DISTRIBUTION that drive phased array, realize the 3-D scanning control of the multiple light beams of phased array.
2. a kind of PHASE DISTRIBUTION method for designing that can be used for phased array multiple beam 3-D scanning according to claim 1, is characterized in that: described in be designed for and drive the step of multiple PHASE DISTRIBUTION of phased array to be:
Step 1,
the three-dimensional position of multiple light beam focal spots produces corresponding in far field
multiple PHASE DISTRIBUTION, the focal spot distribution of amplitudes of expecting in the plane of far field is
, and
at far field planimetric coordinates point
intensity be 1, other positions are 0 entirely, PHASE DISTRIBUTION iterative initial value is made as 0, the PHASE DISTRIBUTION in successive iterations can be determined by the inverse fourier transform in far field suppose it is now the
inferior iteration, has: far field target COMPLEX AMPLITUDE in many planes GAA method
for
（1）
Wherein,
for natural number,
,
need between 0 to 1, optimize and choose, generally be preferably 0.5,
be
the coordinate of far field, individual light beam focal spot place plane,
be
the PHASE DISTRIBUTION of inferior iteration after Fourier transform in the COMPLEX AMPLITUDE of the actual acquisition of far field plane,
for the PHASE DISTRIBUTION of this complex amplitude;
Step 2, the COMPLEX AMPLITUDE of PHASE DISTRIBUTION place plane
by the COMPLEX AMPLITUDE of far field plane
inverse fourier transform obtains, and specifically can be expressed as follows:
(2)
Wherein,
for the coordinate of PHASE DISTRIBUTION place plane,
for the distribution of amplitudes of PHASE DISTRIBUTION place planar lightfield now,
for the PHASE DISTRIBUTION of PHASE DISTRIBUTION place planar lightfield now,
be a negative lens PHASE DISTRIBUTION and
, wherein
for imaginary unit,
for optical wavelength,
for thing lens are to the distance of PHASE DISTRIBUTION place plane,
for the thing focal length of lens,
for the plane after movement is to the distance of reference planes, the Left or right according to the plane after mobile in reference planes,
can get positive sign or negative sign;
Step 3: the COMPLEX AMPLITUDE of PHASE DISTRIBUTION place plane
in PHASE DISTRIBUTION
retain, but distribution of amplitudes is all set to 1, obtains new COMPLEX AMPLITUDE
, it is expressed as:
（3）
Step 4: COMPLEX AMPLITUDE
the complex amplitude of the far field plane obtaining after Fourier transform
for:
(4)
Wherein,
be that a positive lens phase place is divided,
The calculating that iterates of above-mentioned four steps, until
convergence of approximation is in the set goal of setting far field plane, COMPLEX AMPLITUDE
iteration completes, now
be the corresponding control solving the
the PHASE DISTRIBUTION of individual light beam focal spot, more directly perceived in order to express, it can be expressed as
, multiple Beam Control need multiple PHASE DISTRIBUTION, so,
multiple Beam Control need
individual PHASE DISTRIBUTION is:
, multiple PHASE DISTRIBUTION stacks
formation composite phase distributes
be written into phased array, thereby reach the control of expection.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN105652553A (en) * | 2016-03-25 | 2016-06-08 | 太原理工大学 | Optical fiber spatial transmission mode converting device and converting method based on optical phased array |
| CN109239913A (en) * | 2018-08-14 | 2019-01-18 | 北京理工大学 | The design method of imaging optical system based on plate phase element |
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| CN109239913B (en) * | 2018-08-14 | 2020-11-10 | 北京理工大学 | Method for designing imaging optical system based on flat plate phase element |
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