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CN113740873B - Ocean laser radar rapid simulation method based on Gaussian convolution - Google Patents

Ocean laser radar rapid simulation method based on Gaussian convolution Download PDF

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Publication number
CN113740873B
CN113740873B CN202111009955.XA CN202111009955A CN113740873B CN 113740873 B CN113740873 B CN 113740873B CN 202111009955 A CN202111009955 A CN 202111009955A CN 113740873 B CN113740873 B CN 113740873B
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scattering
laser
calculating
phase function
signal intensity
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CN113740873A (en
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陈鹏
张镇华
毛志华
王天愚
袁大鹏
谢丛霜
钟纯怿
钱政
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Second Institute of Oceanography MNR
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S17/00Systems using the reflection or reradiation of electromagnetic waves other than radio waves, e.g. lidar systems
    • G01S17/88Lidar systems specially adapted for specific applications
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S7/00Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
    • G01S7/48Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S17/00
    • G01S7/497Means for monitoring or calibrating

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • General Physics & Mathematics (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Electromagnetism (AREA)
  • Optical Radar Systems And Details Thereof (AREA)

Abstract

The invention belongs to the technical field of ocean laser radar remote sensing detection, and particularly relates to a rapid ocean laser radar simulation method based on Gaussian convolution. The method calculates the mean square angle according to the scattering phase function of the water bodyCalculating forward peaks of scattering phase functionsCalculating the single scattering signal intensityCalculating the ratio of multiple scattering to single scatteringCalculating multiple scattering signal intensityCalculating the total intensity of the laser echo signals. According to the convolution of the Gaussian laser beam and the Gao Sixiang function, the multi-scattering signal of the laser in the water body can be rapidly simulated.

Description

Ocean laser radar rapid simulation method based on Gaussian convolution
Technical Field
The invention belongs to the technical field of ocean laser radar remote sensing detection, and particularly relates to a rapid ocean laser radar simulation method based on Gaussian convolution.
Background
Ocean lidar is widely applied to ocean exploration, but a simplified single scattering lidar equation is used for inverting water parameters at present, and multiple scattering of laser in the water body propagation process is ignored. However, due to the influence of multiple scattering, the laser radar echo signal is often stronger than the signal of single scattering, and errors are caused to inversion of the signal. The design of a marine lidar system and inversion of echo signals require accurate simulation of multiple scattering as a basis.
At present, a Monte Carlo model is mostly adopted for simulating multiple scattering of the laser radar, but the model has large calculated amount and long time consumption. According to convolution of the Gaussian laser beam and the Gaussian scattering phase function of the water body, the method provides an analytical model, and can rapidly calculate multiple scattering signals of the laser in the water body.
Disclosure of Invention
The invention aims to acquire multiple scattering signals of laser in a water body, and provides a marine laser radar rapid simulation method based on Gaussian convolution.
The aim of the invention is achieved by the following technical scheme:
a marine laser radar rapid simulation method based on Gaussian convolution comprises the following steps:
step 1: calculating the mean square angle according to the water scattering phase function
Step 2: the mean square angle obtained according to the step 1Calculating a scattering phase function forward peak gamma;
step 3: calculating single scattering signal intensity P 1 (z);
step 4: the mean square angle obtained by the step 1 Calculating a multiple scattering-to-single scattering ratio r n by using the forward peak gamma of the scattering phase function obtained in the step 2 and the single scattering signal intensity P 1 (z) obtained in the step 3;
Step 5: calculating a multiple scattering signal intensity P n (z) according to a multiple scattering-to-single scattering ratio r n;
Step 6: the laser echo signal total intensity P t (z) is calculated from the multiple scattering signal intensity P n (z).
Preferably, the mean square angle calculated according to the water scattering phase function in the step 1The method comprises the following steps: /(I)Wherein p true (0) is a water scattering phase function at a scattering angle of 0.
Preferably, the forward peak γ of the scattering phase function described in step 2 is:
Preferably, the single scattering signal intensity described in step 3 is P 1 (z):
Wherein η is the receiver detection efficiency; p 0 is the laser energy; a is the receiving area of the detector; o is the geometric overlap factor, T O is the receiver optical transmittance; t a is the atmospheric transmittance; t s is the sea surface transmittance; v is the speed of light; h is the height of the laser radar; Δt is the laser pulse width; n is the refractive index of seawater; z is the sea water depth; p π (z)/4pi is a 180 DEG scattering phase function of the water body; b (z) is the water scattering coefficient; c (z') is the attenuation coefficient of the water body.
Preferably, the multiple scattering to single scattering ratio r n in step 4 is:
Wherein ρ t is the laser radar receiving field angle; θ 0 is a laser beam divergence angle.
Preferably, the multiple scattering signal intensity P n (z) in step 5 is: p n(z)=P1(z)rn.
Preferably, the total laser echo signal intensity P t (z) in step 6 is: p t(z)=∑n=1Pn (z).
Preferably, the scattering phase function is any water scattering phase function.
The beneficial effects of the invention are as follows: the method can rapidly calculate the multiple scattering signals of the laser in the water body based on Gaussian convolution, and can be suitable for any scattering phase function and non-uniform water body.
Drawings
FIG. 1 is a flow chart of the present method;
FIG. 2 is the multiple scatter signal intensities of example 1;
FIG. 3 is the multiple scatter signal intensities of example 2;
FIG. 4 is the multiple scatter signal intensity of example 3;
fig. 5 is the multiple scatter signal intensity of example 4.
Detailed Description
The objects and effects of the present invention will become more apparent from the following detailed description of the preferred embodiments and the accompanying drawings, in which the present invention is further described in detail. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention.
The embodiments of the present invention are identical in implementation, and differ only in the parameters of the lidar system employed.
In the method, typical laser radar system parameters are adopted as example 1, the laser energy is P 0 =10mj, the receiving area is a=1.7m 2, the overlap factor o=1, the laser radar height is h=300m, the receiving telescope field angle fov=10mrad, the responsivity is η=0.18, the receiver optical transmittance is T o =0.9, the typical environmental parameter seawater refractive index n=1.33, the sea surface transmittance is T s=0.95,b=0.037m-1,c=0.151m-1, and the water phase function adopts a heney-greentein phase function P true (0) = 339.4.
The specific implementation mode of the invention is as follows:
step 1: calculating the mean square angle according to the water scattering phase function
The mean square angle calculated according to the water scattering phase function in the step 1The method comprises the following steps:
Wherein p true (0) is a water scattering phase function when the scattering angle is 0, and is calculated
Step 2: the mean square angle obtained according to the step 1Calculating a scattering phase function forward peak gamma;
The forward peak gamma of the scattering phase function described in the step 2 is:
calculated γ=0.5.
Step 3: calculating single scattering signal intensity P 1 (z);
the single scattering signal intensity described in step 3 is P 1 (z):
Wherein η is the receiver detection efficiency; p 0 is the laser energy; a is the receiving area of the detector; o is the geometric overlap factor, T O is the receiver optical transmittance; t a is the atmospheric transmittance; t s is the sea surface transmittance; v is the speed of light; h is the height of the laser radar; Δt is the laser pulse width; n is the refractive index of seawater; z is the sea water depth; p π (z)/4pi is a 180 DEG scattering phase function of the water body; b (z) is the water scattering coefficient; c (z') is the attenuation coefficient of the water body.
Step 4: the mean square angle obtained by the step 1Calculating a multiple scattering-to-single scattering ratio r n by using the forward peak gamma of the scattering phase function obtained in the step 2 and the single scattering signal intensity P 1 (z) obtained in the step 3;
The multiple scattering and single scattering ratio r n described in step4 is:
Wherein ρ t is the laser radar receiving field angle; θ 0 is a laser beam divergence angle.
Step 5: calculating a multiple scattering signal intensity P n (z) according to a multiple scattering-to-single scattering ratio r n;
The multiple scattering signal intensity in step 5 is:
Pn(z)=P1(z)rn
Step 6: calculating the total intensity P t (z) of the laser echo signal according to the multiple scattering signal intensity P n (z);
the total intensity of the laser echo signals in the step 6 is as follows:
Pt(z)=∑n=1Pn(z)。
Fig. 2 shows the multiple scattering and total signal intensity for example 1. As can be seen from fig. 2, the echo signal intensity is mainly single scattering when the laser just enters the water body. But as depth increases, the multiple scatter signal increases gradually.
The laser radar system parameters employed in example 2 were: the laser energy is P 0 =10mj, the receiving area is a=1.76m 2, the overlap factor o=1, the laser radar height is h=300 m, the receiving telescope field angle fov=10mrad, the responsivity is η=0.18, the receiver optical transmittance is T o =0.9, the seawater refractive index n=1.33, the sea surface transmittance is T s =0.95, the second class water parameter b=0.219 m -1,c=0.398m-1 is adopted, and the water phase function adopts a heney-greentein phase function P true (0) = 339.4.
The multiple scattered signal intensities and the total signal intensity of example 2 are shown in fig. 3. As can be seen from fig. 3, as the turbidity of the water body increases, the multiple scattering signals in the seawater greatly increase, and the echo signals mainly comprise multiple scattering. However, the increase of the turbidity of the water body can lead to the increase of the total attenuation of the water body, so that the attenuation speed of the total echo signal along with the depth is faster, and the penetration depth of laser in the water body is reduced.
The laser radar system parameters used in example 3 were: the laser energy is P 0 =10mj, the receiving area is a=1.76m 2, the overlap factor o=1, the laser radar height is h=300 m, the receiving telescope field angle fov=0.1mrad, the responsivity is η=0.18, the receiver optical transmittance is T o =0.9, the sea water refractive index n=1.33, the sea surface transmittance is T s =0.95, the second class water parameter b=0.219 m -1,c=0.398m-1 is adopted, and the water phase function adopts heney-greentein phase function P true (0) = 339.4.
The multiple scattered signal intensities and the total signal intensity of example 3 are shown in fig. 4. As can be seen from fig. 4, the total signal almost coincides with the single-shot signal, indicating that in case the angle of view is very small, the laser light is scattered outside the angle of view of the receiver, resulting in a single shot of the received echo signal.
The laser radar system parameters used in example 4 were: the laser energy is P 0 =10mj, the receiving area is a=1.76m 2, the overlap factor o=1, the laser radar height is h=300 m, the receiving telescope field angle fov=10mrad, the responsivity is η=0.18, the receiver optical transmittance is T o =0.9, the seawater refractive index n=1.33, the sea surface transmittance is T s =0.95, the second-class water parameter b=0.219 m -1,c=0.398m-1 is adopted, and the water phase function adopts the Fournier-Forand phase function P true (0) =165.7.
The multiple scattered signal intensities and the total signal intensity of example 4 are shown in fig. 5. As can be seen from fig. 5, different water phase functions lead to different results with other parameters being identical. The multiple scattering of the water body under the Fournier-Forand phase function is reduced, so that the total echo signal is reduced. In the laser radar simulation process, a proper scattering phase function needs to be selected according to a specific water body environment.
It will be appreciated by persons skilled in the art that the foregoing description of the preferred embodiments of the invention is merely illustrative of and not limiting on the invention, and that modifications may be made to the embodiments described above or equivalents may be substituted for elements thereof. Modifications, equivalents, and alternatives falling within the spirit and principles of the invention are intended to be included within the scope of the invention.

Claims (4)

1. A marine laser radar rapid simulation method based on Gaussian convolution is characterized by comprising the following steps:
step 1: calculating the mean square angle according to the water scattering phase function
Wherein, p true (0) is a water scattering phase function when the scattering angle is 0;
Step 2: the mean square angle obtained according to the step 1 Calculating a scattering phase function forward peak gamma;
step 3: calculating single scattering signal intensity P 1 (z);
Wherein η is the receiver detection efficiency; p 0 is the laser energy; a is the receiving area of the detector; o is the geometric overlap factor, T O is the receiver optical transmittance; t a is the atmospheric transmittance; t s is the sea surface transmittance; v is the speed of light; h is the height of the laser radar; Δt is the laser pulse width; n is the refractive index of seawater; z is the sea water depth; p π (z)/4pi is a 180 DEG scattering phase function of the water body; b (z) is the water scattering coefficient; c (z') is the attenuation coefficient of the water body;
step 4: the mean square angle obtained by the step 1 Calculating a multiple scattering-to-single scattering ratio r n according to the forward peak gamma of the scattering phase function obtained in the step 2 and the single scattering signal intensity P 1 (z) obtained in the step 3;
Wherein ρ t is the laser radar receiving field angle; θ 0 is the laser beam divergence angle;
Step 5: calculating a multiple scattering signal intensity P n (z) according to a multiple scattering-to-single scattering ratio r n;
Step 6: the laser echo signal total intensity P t (z) is calculated from the multiple scattering signal intensity P n (z).
2. The rapid simulation method of marine lidar based on gaussian convolution according to claim 1, wherein the multiple scattering signal intensity P n (z) in step 5 is:
Pn(z)=P1(z)rn
3. The rapid simulation method of marine laser radar based on gaussian convolution according to claim 1, wherein the total laser echo signal intensity P t (z) in step 6 is:
Pt(z)=∑n=1Pn(z)。
4. The rapid simulation method of marine lidar based on gaussian convolution according to claim 1, wherein the scattering phase function is any water scattering phase function.
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