CN104062757B - A kind of PHASE DISTRIBUTION method for designing for phased array multiple beam 3-D scanning - Google Patents
A kind of PHASE DISTRIBUTION method for designing for phased array multiple beam 3-D scanning Download PDFInfo
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- CN104062757B CN104062757B CN201410298676.3A CN201410298676A CN104062757B CN 104062757 B CN104062757 B CN 104062757B CN 201410298676 A CN201410298676 A CN 201410298676A CN 104062757 B CN104062757 B CN 104062757B
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Abstract
The invention belongs to diffractive optics technology field, particularly relate to a kind of PHASE DISTRIBUTION method for designing that can be used for phased array multiple beam 3-D scanning.On the basis of classical GAA method, axially introduce many planes, establish many planes GAA method model in far field, be designed for the multiple PHASE DISTRIBUTION driving phased array, the 3-D scanning realizing the multiple light beam of phased array controls.The present invention for phased array multiple beam 3-D scanning control a kind of new PHASE DISTRIBUTION method for designing is provided, the method more plane GS method improves the homogeneity of controlled light beam focal spot.
Description
Technical field
The invention belongs to diffractive optics technology 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 a kind of pure phase-type diffraction element of PHASE DISTRIBUTION PLC technology, and it is arranged in a combination by phase control unit one by one, the phase delay PLC technology of each phased array unit, and all phase unit in phased array form PHASE DISTRIBUTION.The PHASE DISTRIBUTION controlled in phased array just can reach the scan control to the light wave of incidence on it, i.e. phased array beam flying technology.
Phased array multibeam scanning technology is the important channel realizing the optical systems such as laser radar, laser weapon, laser assisted microprocessing, laser engraving, light tweezers, and is the PHASE DISTRIBUTION design in phased array based on the core that the multibeam scanning of phased array controls.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 (GeneralizedAdaptive-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.Namely on the basis of classical GAA (GeneralizedAdaptive-Additive) method, axially many planes are introduced in far field, establish many planes GAA method model, based on this many plane GAA method design for driving multiple PHASE DISTRIBUTION of phased array, control with the 3-D scanning realizing the multiple light beam 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 many planes are introduced in far field, establish many planes GAA method model, be designed for the multiple PHASE DISTRIBUTION driving phased array, the 3-D scanning realizing the multiple light beam of phased array controls.
The described step being designed for multiple PHASE DISTRIBUTION of driving phased array is:
Step one, the three-dimensional position of i many light beam focal spots produces corresponding i many PHASE DISTRIBUTION in far field, the focal spot distribution of amplitudes that far field plane is expected is | D (x '
i, y '
i) |, and | D (x '
i, y '
i) | far field planimetric coordinates point (x '
i, y '
i) intensity be 1, other positions are 0 entirely, and PHASE DISTRIBUTION iterative initial value is set to 0, and the PHASE DISTRIBUTION in successive iterations can be determined by the inverse fourier transform in far field, assuming that be now n-th iteration, then have: far field objects COMPLEX AMPLITUDE F in many planes GAA method
n(x '
i, y '
i) be
Wherein, i is natural number,
the value of ξ is 0 to 1, is preferably 0.5, x '
i, y '
ibe the coordinate of far field, i-th light beam focal spot place plane, F '
n-1(x '
i, y '
i) be the PHASE DISTRIBUTION of (n-1)th 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 T of PHASE DISTRIBUTION place plane
n(x, y) is by the COMPLEX AMPLITUDE F of far field plane
n(x '
i, y '
i) inverse fourier transform acquisition, specifically can be expressed as follows:
Wherein, x, y are the coordinate of PHASE DISTRIBUTION place plane, | T
n(x, y) | the distribution of amplitudes of PHASE DISTRIBUTION place planar lightfield time for this reason,
the PHASE DISTRIBUTION of PHASE DISTRIBUTION place planar lightfield time for this reason, P
i(x, y)
-1be a negative lens PHASE DISTRIBUTION and P
i(x, y)
-1=exp [j π Δ z
i(x
2+ y
2)/λ (d Δ z
i+ f Δ z
i+ f
2)], wherein j is imaginary unit, and λ is optical wavelength, and d is the distances of thing lens to PHASE DISTRIBUTION place plane, and f is the thing focal length of lens, Δ z
ifor the plane after movement is to the distance of reference planes, according to the Left or right of the plane after movement in reference planes, Δ z
ipositive sign or negative sign can be got;
Step 3: the COMPLEX AMPLITUDE T of PHASE DISTRIBUTION place plane
npHASE DISTRIBUTION in (x, y)
retain, but distribution of amplitudes is all set to 1, obtains new COMPLEX AMPLITUDE H
n(x, y), it is expressed as:
Step 4: COMPLEX AMPLITUDE H
nthe complex amplitude F ' of the far field plane that (x, y) obtains after Fourier transform
n(x '
i, y '
i) be:
Wherein, P
i(x, y)=exp [-j π Δ z
i(x
2+ y
2)/λ (d Δ z
i+ f Δ z
i+ f
2)] be a positive lens PHASE DISTRIBUTION,
Above-mentioned four steps iterate calculating, until F '
n(x '
i, y '
i) convergence of approximation in the set goal of setting far field plane, COMPLEX AMPLITUDE F
n(x '
i, y '
i) iteration completes, now
be the PHASE DISTRIBUTION of corresponding control i-th the light beam focal spot solved, more directly perceived in order to express, it can be expressed as
multiple Beam Control needs multiple PHASE DISTRIBUTION, so i the PHASE DISTRIBUTION that i many Beam Control need is:
multiple PHASE DISTRIBUTION superposition
formation composite phase distributes
be loaded into phased array, thus reach the control of expection.
The invention has the beneficial effects as follows: the present invention for phased array multiple beam 3-D scanning control a kind of new PHASE DISTRIBUTION method for designing is provided, the method more plane GS method improves 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.
Accompanying drawing explanation
Fig. 1 is that many planes GAA method design PHASE DISTRIBUTION controls multiple beam focal spot principle schematic.
Embodiment
As shown in Figure 1, the three-dimensional of the far-field focus position of each light beam in multiple light beam independently controls, then each plane of motion have and only have a light beam focal spot, the corresponding PHASE DISTRIBUTION of each light beam focal spot, the corresponding multiple PHASE DISTRIBUTION of multiple light beam, multiple PHASE DISTRIBUTION forms composite phase distribution for driving LCD phased array, thus the three-dimensional independent control in the far-field focus position realizing each light beam in multiple light beam, namely each focal spot can planar two-dimensional movement, meanwhile, the plane at its place can move axially.
The three-dimensional position of foundation i (i is natural number) multiple light beam focal spot, in the different demand of far field reality, produces corresponding i many PHASE DISTRIBUTION.Assuming that the PHASE DISTRIBUTION forming process controlling certain i-th light beam focal spot is as follows:
The focal spot distribution of amplitudes that far field plane is expected is | D (x '
i, y '
i) |, and | D (x '
i, y '
i) | far field planimetric coordinates point (x '
i, y '
i) intensity be 1, other positions be 0 entirely (namely | D (x '
i, y '
i) | be single luminous point); PHASE DISTRIBUTION iterative initial value is set to 0, and the PHASE DISTRIBUTION in successive iterations can be determined by following steps by the inverse fourier transform in far field, assuming that be now n-th iteration, then has:
Step one: set far field objects COMPLEX AMPLITUDE F in many planes GAA method
n(x '
i, y '
i) can be expressed as:
Wherein,
the value of ξ is 0 to 1, is preferably 0.5, x '
i, y '
ibe the coordinate of far field, i-th light beam focal spot place plane, F '
n-1(x '
i, y '
i) be the PHASE DISTRIBUTION of (n-1)th 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 T of PHASE DISTRIBUTION place plane
n(x, y) is by the COMPLEX AMPLITUDE F of far field plane
n(x '
i, y '
i) inverse fourier transform acquisition, specifically can be expressed as follows:
Wherein, x, y are the coordinate of PHASE DISTRIBUTION place plane, | T
n(x, y) | the distribution of amplitudes of PHASE DISTRIBUTION place planar lightfield time for this reason,
the PHASE DISTRIBUTION of PHASE DISTRIBUTION place planar lightfield time for this reason, P
i(x, y)
-1be a negative lens PHASE DISTRIBUTION and P
i(x, y)
-1=exp [j π Δ z
i(x
2+ y
2)/λ (d Δ z
i+ f Δ z
i+ f
2)], wherein j is imaginary unit, and λ is optical wavelength, and d is the distances of thing lens to PHASE DISTRIBUTION place plane, and f is the thing focal length of lens, Δ z
ifor the plane after movement is to the distance of reference planes, according to the Left or right of the plane after movement in reference planes, Δ z
ipositive sign or negative sign can be got.
Step 3: the COMPLEX AMPLITUDE T of PHASE DISTRIBUTION place plane
npHASE DISTRIBUTION in (x, y)
retain, but distribution of amplitudes is all set to 1, obtains new COMPLEX AMPLITUDE H
n(x, y), it is expressed as:
Step 4: new COMPLEX AMPLITUDE H
nthe complex amplitude F ' of the far field plane that (x, y) obtains after Fourier transform
n(x '
i, y '
i) be:
Wherein, P
i(x, y)=exp [-j π Δ z
i(x
2+ y
2)/λ (d Δ z
i+ f Δ z
i+ f
2)] be a positive lens PHASE DISTRIBUTION.
Above-mentioned four steps iterate calculating, until F '
n(x '
i, y '
i) convergence of approximation is in the set goal COMPLEX AMPLITUDE F of setting far field plane
n(x '
i, y '
i) iteration completes, now
be the PHASE DISTRIBUTION of corresponding control i-th the light beam focal spot solved, more directly perceived in order to express, it can be expressed as
Multiple Beam Control needs multiple PHASE DISTRIBUTION, so i the PHASE DISTRIBUTION that i many Beam Control need is:
multiple PHASE DISTRIBUTION superposition
formation composite phase distributes
be loaded into phased array, thus the expection reaching multiple light beam controls.
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 embodiment equally also can realize the object of inventing.
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 many planes are introduced in far field, establish many planes GAA method model, be designed for the multiple PHASE DISTRIBUTION driving phased array, the 3-D scanning realizing the multiple light beam of phased array controls, described in be designed for and drive the step of multiple PHASE DISTRIBUTION of phased array to be:
Step one,
the three-dimensional position of multiple light beam focal spot produces corresponding in far field
multiple PHASE DISTRIBUTION, the focal spot distribution of amplitudes that far field plane is expected is
, and
at far field planimetric coordinates point
intensity be 1, other positions are 0 entirely, and PHASE DISTRIBUTION iterative initial value is set to 0, and the PHASE DISTRIBUTION in successive iterations can be determined by the inverse fourier transform in far field, assuming that be now
secondary iteration, then have: far field objects COMPLEX AMPLITUDE in many planes GAA method
for
（1）
Wherein,
for natural number,
,
span be 0 to 1,
be
the coordinate of far field, individual light beam focal spot place plane,
be
the PHASE DISTRIBUTION of secondary 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,
the distribution of amplitudes of PHASE DISTRIBUTION place planar lightfield time for this reason,
the PHASE DISTRIBUTION of PHASE DISTRIBUTION place planar lightfield time for this reason,
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, according to the Left or right of the plane after movement in reference planes,
positive sign or negative sign can be got;
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 obtained after Fourier transform
for:
(4)
Wherein,
be a positive lens PHASE DISTRIBUTION,
Above-mentioned four steps iterate calculating, until
convergence of approximation in the set goal of setting far field plane, COMPLEX AMPLITUDE
iteration completes, now
be the corresponding control solved 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 needs multiple PHASE DISTRIBUTION, so,
multiple Beam Control needs
individual PHASE DISTRIBUTION is:
, multiple PHASE DISTRIBUTION superposition
formation composite phase distributes
be loaded into phased array, thus reach the control of expection.
2. a kind of PHASE DISTRIBUTION method for designing for phased array multiple beam 3-D scanning according to claim 1, is characterized in that: in step one,
value be 0.5.
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