CN110231675A - A kind of waveguide concealed device and its design method applied to ripples - Google Patents
A kind of waveguide concealed device and its design method applied to ripples Download PDFInfo
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Abstract
The invention discloses a kind of waveguide concealed device and its design method applied to ripples, including ontology, the ontology is two or so the class isosceles trapezoid structures being arranged side by side.Or, the ontology is the class ladder structure of right angle for the slope section that multiple one end being continuously arranged side by side are highly gradient.Or, ontology pile structure as made of the arrangement of multiple array of cylinders.After design, the trapezoidal isosceles structure of class, class ladder structure of right angle or array pile structure significantly can cut down wave amplitude in portion in the waveguide, to realize stealth effect when with the plane wave incidence of specific wavelength and frequency.
Description
Technical field
The present invention relates to Wave Theory and field of engineering technology more particularly to a kind of waveguide concealed devices applied to ripples
And its design method.
Background technique
Plane wave can always be reflected when encountering solid structure, cause to occur in the wave field on solid structure periphery wrong
Disorderly, the feature of plane wave is no longer kept.Wave applies active force, the floating body knot of the water surface to the structure in water in communication process
Structure can be with sea sloshing, and the wave amplitude of plane wave is difficult to be lowered.In previous theoretical research and practice, do not have always
There is effective method to cut down the wave amplitude of wave.
Summary of the invention
The wave regulation device that in view of the deficiencies of the prior art, it is an object of the present invention to provide a kind of with wave dissipation effect and
Design method solves the technical problem of wave field regulation.
The technical proposal for solving the technical problem of the invention is as follows: a kind of waveguide concealed device applied to ripples,
Including ontology, the ontology is two or so the class isosceles trapezoid structures being arranged side by side.
Further, the class isosceles trapezoid structure mainly by horizontal segment plate and is symmetrically connected to horizontal segment plate both ends
Two sections of slope section curved slabs constitute, ontology in the waveguide along the ripples direction of propagation arrange, the total length of class isosceles trapezoid structure
For L, the length of each slope section curved slab is L1, the length of horizontal segment plate is L2；
When ontology is immersed in water, the depth of water at ontology bottom surface is h, and using the water direction of propagation as x-axis, x-axis is located at
On the plane of symmetry of ontology, the height distribution of ontology along the x-axis direction is denoted as d (x), then the water depth distribution at body upper surface is just
H (x)=h-d (x)；After determining the index distribution n (x) at different water depth, according to refractive index calculation formula:
Acquire body height distribution function
Refractive index distribution curve n (x) at different zones needs to meet following two condition:
1) whenWhen, due to the horizontal segment plate part that the region is ontology, i.e., the depth of water is normal in the region
Amount, then the refractive index at this time in the region at arbitrary point is also constant, it is assumed that is N1, then the refractive index in the region indicates at this time
At: n (x)=N1；
2) whenWhen, since the region is the slope section curved slab part of ontology, the depth of water and refraction in the region
Rate changes in the x-direction, then the refractive index in the region is expressed as at this time: n2(x)=f (x)；
When slope section region depth of water minimum, refractive indexAnd when depth of water maximum, refractive index isF (x) expression formula can be obtained by substituting into after calculating；
As f (x)=kx+b, acquire
As f (x)=ax2When+bx, acquire
WhenWhen, it acquires
The second object of the present invention is to provide a kind of design method of waveguide concealed device applied to ripples, including as follows
Step:
(1) one is taken to form class isosceles trapezoid structure as ontology, total length note by slope section curved slab and horizontal segment plate
For L；
(2) ontology is arranged side by side along the ripples direction of propagation in the waveguide, remembers slope section curved slab along ripples propagation side
Upward projected length is L1, horizontal segment plate is L in the length on the ripples direction of propagation2；
(3) when ontology is immersed in water, the depth of water at ontology bottom surface is h, and the height of ontology along the x-axis direction is distributed note
For d (x), then the water depth distribution at ontology upper bottom surface is just h (x)=h-d (x)；
It (4), can be according to refractive index calculation formula after determining the index distribution n (x) at different water depth:
Acquire body height distribution function
(5) the refractive index distribution curve n (x) at different zones needs to meet following two condition:
1) whenWhen, due to the horizontal segment plate part that the region is ontology, i.e., the depth of water is normal in the region
Amount, then the refractive index at this time in the region at arbitrary point is also constant, it is assumed that is N1, then the refractive index in the region can be at this time
It is expressed as: n (x)=N1
2) whenWhen, since the region is the slope section curved slab part of ontology, the depth of water and refraction in the region
Rate changes in the x-direction, then the refractive index in the region can be expressed as at this time: n2(x)=f (x)
As f (x)=kx+b；Wherein, k, b are coefficient, when slope section region depth of water minimum, refractive index n (x1)=N1；And
When depth of water maximum, refractive index is n (x2)=1, substituting into after calculating can obtain:
As (x)=ax2When+bx, wherein a, b are coefficient, when slope section region depth of water minimum, refractive index n (x1)=N1；
And when depth of water maximum, refractive index is n (x2)=1, substituting into after calculating can obtain:WhenWhen, wherein k, b are coefficient, when slope section area
When the depth of water minimum of domain, refractive index n (x1)=N1；And when depth of water maximum, refractive index is n (x2)=1, and substituting into after calculating can obtain
The third object of the present invention is to provide a kind of waveguide concealed device applied to ripples, including ontology, the ontology
For the class ladder structure of right angle for the slope section that multiple one end being continuously arranged side by side are highly gradient.
Further, the class ladder structure of right angle mainly by horizontal segment plate and is connected to the one of horizontal segment plate one end
Section slope section curved slab is constituted, and ontology is arranged along the ripples direction of propagation in the waveguide, and the total length of class ladder structure of right angle is L,
The length of slope section curved slab is L1, the length of horizontal segment plate is L2；
When ontology is immersed in water, the depth of water at ontology bottom surface is h, and using the ripples direction of propagation as x-axis, x-axis is former
Point is located on the central point of ontology, and the height distribution of ontology along the x-axis direction is denoted as d (x), then the depth of water at body upper surface point
Cloth is just
H (x)=h-d (x)；
After determining the index distribution n (x) at different water depth, according to refractive index calculation formula:
Acquire body height distribution function
Refractive index distribution curve n (x) at different zones needs to meet following two condition:
1) as 0 < x < L1When, since the region is the slope section curved slab part of ontology, the depth of water and refraction in the region
Rate changes in the x-direction, then the refractive index in the region is expressed as at this time: n2(x)=f (x)；
2) work as L1When < x < L, due to the horizontal segment plate part that the region is ontology, i.e., the depth of water is constant in the region,
Then the refractive index at this time in the region at arbitrary point is also constant, it is assumed that is N1, then the refractive index in the region is expressed as at this time:
n2(x)=N1；
When slope section region depth of water minimum, refractive index n (L)=N1；And when depth of water maximum, refractive index is n (0)=1；
F (x) expression formula can be obtained by substituting into after calculating；
As f (x)=kx+b, acquire
WhenWhen, it acquires
The fourth object of the present invention is to provide a kind of design method of waveguide concealed device applied to ripples, including as follows
Step:
(1) one is taken to form class ladder structure of right angle as ontology, total length note by slope section curved slab and horizontal segment plate
For L；
(2) ontology is arranged along the ripples direction of propagation in the waveguide, remembers slope section curved slab along the ripples direction of propagation
Projected length be L1, horizontal segment plate is L in the length on the ripples direction of propagation2；
(3) when ontology is immersed in water, the depth of water at ontology bottom surface is h, and the height of ontology along the x-axis direction is distributed note
For d (x), then the water depth distribution at ontology upper bottom surface is just h (x)=h-d (x)；
It (4), can be according to refractive index calculation formula after determining the index distribution n (x) at different water depthAcquire body height distribution function
(5) the refractive index distribution curve n (x) at different zones needs to meet following two condition:
1) as 0 < x < L1When, due to the slope section curved slab part that the region is ontology, i.e., the depth of water is to become in the region
It measures, the depth of water changes in the x-direction with refractive index in the region, then the refractive index in the region can be expressed as at this time: n2(x)=f
(x)；
2) work as L1When < x < L, due to the horizontal segment plate part that the region is ontology, i.e., the depth of water is constant in the region,
Then the refractive index at this time in the region at arbitrary point is also constant, it is assumed that is N1, then the refractive index in the region can indicate at this time
At: n (x)=N1；
As f (x)=kx+b；Wherein, k, b are coefficient, when slope section region depth of water minimum, refractive index n (x1)=N1；And
When depth of water maximum, refractive index is n (x2)=1, substituting into after calculating can obtain
WhenWhen, wherein k, b are coefficient, when slope section region depth of water minimum, refractive index n (x1)=
N1；And when depth of water maximum, refractive index is n (x2)=1, and substituting into after calculating can obtain
The fifth object of the present invention is to provide a kind of waveguide concealed device applied to ripples, including ontology, the ontology
The pile structure as made of multiple cylindrical bodies or prism array arrangement.
Further, mainly by multiple diameters, different, the identical cylindrical body of array pitch is constituted the ontology, and note is lined up altogether
P row, every row q, total length L, wherein one section of the centre of ontology is identical by multiple diameters and the identical cylindrical body structure of spacing
At length L1。
The sixth object of the present invention is to provide a kind of design method of waveguide concealed device applied to ripples, including as follows
Step:
(1) the identical cylindrical body composition ontology of multiple diameters differences, array pitch is taken, lines up p row, every row q, ontology is total
Length L, wherein one section of the centre of ontology is identical by multiple diameters and the identical cylindrical body of spacing is constituted, length L1；
(2) ontology arranges that the ripples direction of propagation is as x-axis, and depth of water direction is as y along the ripples direction of propagation in the sink
Axis, when ontology is immersed in water, the depth of water at ontology bottom surface is h, body height d, the refraction of ontology along the x-axis direction
Rate distribution is denoted as n (x), and n (x) meets following two condition:
1) whenWhen, it is since the region is made of the identical cylindrical body of diameter, then any in the region at this time
Refractive index at point is constant, it is assumed that is N1, then the refractive index in the region can be expressed as at this time: n (x)=N1
2) whenWhen, since by diameter, different, the identical cylindrical body of spacing is constituted in the region, then the area at this time
The refractive index in domain can be expressed as:
n2(x)=f (x)=kx2+b
Wherein, k, b are coefficient, and defined herein effective refractive index isWherein Q is Bloch wave, and K is wave number；
As x=0, refractive indexWhenWhen, refractive index isSubstituting into after calculating can obtain:
It is possible thereby to calculate the diameter for meeting the cylindrical body of variations in refractive index.
Compared with the existing technology, beneficial effects of the present invention are as follows: (1) after design, the trapezoidal isosceles structure of class, class are straight
The trapezoidal gentle slope structure in angle or array pile structure can be realized several when with the plane wave incidence of specific wavelength and frequency
Areflexia wave；(2) periphery of ontology still keeps plane wave, and the plane wave wave amplitude of body upper part is amplified, ontology middle area
The wave amplitude in domain significantly reduces, in the body between region wave absorption it is obvious；(3) design method for realizing this function is proposed, and
This method have certain expansibility and flexibility, can be designed that a variety of structural parameters met the requirements, depth of water parameter and
Refractive index parameter.
Detailed description of the invention
Fig. 1 is the top view of the trapezoidal gentle slope structure wave regulation device of class of the invention；
Fig. 2 is the semi-cutaway of the trapezoidal gentle slope structure wave regulation device of class of the invention；
Fig. 3 is the top view of cylindrical-array structure wave regulation device of the invention；
Fig. 4 is the semi-cutaway of cylindrical-array structure wave regulation device of the invention；
Fig. 5 is the top view of class right-angled trapezium gentle slope structure wave regulation device of the invention；
Fig. 6 is the semi-cutaway of class right-angled trapezium gentle slope structure wave regulation device of the invention.
In figure, 1 is slope section curved slab, and 2 be horizontal segment plate.
Specific embodiment
Below with reference to embodiment and attached drawing, the present invention is described in further detail.The present embodiment is with the technology of the present invention side
Implemented premised on case, the detailed implementation method and specific operation process are given, but protection scope of the present invention is unlimited
In following embodiments.
Embodiment 1:
(1) one is taken to form class isosceles trapezoid gentle slope structure as ontology by slope section curved slab 1 and horizontal segment plate 2,
It is 1.78m that length, which is arranged, in class trapezoidal gentle slope structure both ends, and width is the slope section of 0.15m, and the side of slope section is highly gradient
Curved surface；It is 2.44m that length, which is arranged, in by-level section region, is highly 0.133m, and width is the horizontal segment of 0.15m, ontology overall length
Degree is 6m, and ontology is arranged side by side along the ripples direction of propagation in the waveguide；Top view is as shown in Figure 1, cross-sectional view is as shown in Figure 2；
(2) when being immersed in the ontology of the trapezoidal gentle slope structure of class in water, the depth of water at ontology bottom surface is h, h=0.15m；
The height distribution of ontology along the x-axis direction is denoted as d (x), then the water depth distribution at ontology upper bottom surface is just h (x)=h-d (x)；
It (3), can be according to refractive index calculation formula after determining the index distribution n (x) at different water depth
Acquire body height distribution functionWherein h=0.15.
(4) the refractive index distribution curve n (x) at different zones needs to meet following two condition:
First condition: as -1.22m < x < 1.22m, due to the horizontal segment plate part that the region is ontology, the area Ji Gai
The depth of water is constant in domain, then the refractive index at this time in the region at arbitrary point is also constant N1=2.97, then the region at this time
Refractive index can be expressed as:
N (x)=2.97, -1.22m < x < 1.22m
Second condition: as -3m < x < -1.22m or 1.22m < x < 3m, since the slope section that the region is ontology is bent
Faceplate part, the depth of water changes in the x-direction with refractive index in the region, then the refractive index in the region can be expressed as at this time:
n2(x)=kx+b, -3m < x < -1.22m or 1.22m < x < 3m；
Wherein, k, b are coefficient, when slope section region depth of water minimum, refractive index n (x1)=2.97；And when the depth of water is maximum
When, refractive index is n (x2)=1；N can be obtained by substituting into after calculating2(x)=- 4.4x+14.2；
It is hereby achieved that gentle slope section altitude curve function:
Embodiment 2:
(1) it takes the cylindrical body that multiple diameters are different, array pitch is 0.5m to form concealed device ontology, lines up 13 rows, often
Row 3, ontology total length L are 6m, wherein one section of the centre of ontology is identical by multiple diameters and the identical cylindrical body structure of spacing
At length L1For 2m, as shown in Figure 3 and Figure 4；
(2) ontology is arranged along the ripples direction of propagation in the sink, enables the ripples direction of propagation as x-axis, depth of water direction is as y
Axis, when ontology is immersed in water, the depth of water at ontology bottom surface is 0.5m, and body height 0.7m, ontology is along the x-axis direction
Equidistantly distributed, the index distribution of ontology along the x-axis direction are denoted as n (x), and n (x) meets formula in the x direction:
1) as -1 < x < 1, since the region is made of the identical cylindrical body of diameter, then arbitrary point in the region at this time
The refractive index at place is constant, it is assumed that is N1, then the refractive index in the region can be expressed as at this time: n2 (x)=N1=1.5
2) as 1 < | x | when < 3, since by diameter, different, the identical cylindrical body of spacing is constituted in the region, then the area at this time
The refractive index in domain can be expressed as:
n2(x)=f (x)=kx2+b
Wherein, k, b are coefficient, and defined herein effective refractive index isWherein Q is Bloch wave, and K is wave number.
As x=0, refractive index ne0=1.5；And when ± 3 x=, refractive index ne1=1；
Substituting into after calculating can obtain
n2(x)=- 0.139x2+1.5；
It is possible thereby to calculate the diameter for meeting the different piles of variations in refractive index.
It should be noted that working as ontology pile structure as made of multiple prism array arrangements, prism can be three
Prism, quadrangular or polygon-prism, the design method and cylindrical body of the pile structure as made of multiple prism array arrangements
It is similar, difference is that the calculated result of Bloch wave Q is different, how to calculate as known to those skilled in the art, here no longer
It repeats.
Embodiment 3:
(1) it takes five to form class ladder structure of right angle by slope section curved slab and horizontal segment plate to be continuously arranged side by side conduct
Ontology；In class right-angled trapezium gentle slope structure one end, setting length is 1.78m, and width is the slope section of 0.15m, the side of slope section
Face is highly gradient curved surface；It is 4.22m that length, which is arranged, in by-level section region, is highly 0.133m, and width is the water of 0.15m
Flat section, ontology total length are 6m, and ontology is arranged side by side along the ripples direction of propagation in the waveguide；Top view is as shown in figure 5, cut open
View is as shown in Figure 6；
(2) when being immersed in the ontology of class ladder structure of right angle in water, the depth of water at ontology bottom surface is h, h=0.15m；
The height distribution of ontology along the x-axis direction is denoted as d (x), then the water depth distribution at ontology upper bottom surface is just h (x)=h-d (x)；
It (3), can be according to refractive index calculation formula after determining the index distribution n (x) at different water depth
Acquire body height distribution functionWherein h=0.15m.
(4) the refractive index distribution curve n (x) at different zones needs to meet following two condition:
First condition: as 0m < x < 1.78m, due to the slope section curved slab part that the region is ontology, in the region
The depth of water changes in the x-direction with refractive index, then the refractive index in the region can be expressed as at this time:
n2(x)=kx+b, 0m < c < 1.78m, wherein k, b are coefficient；
Second condition: as 1.78m < x < 6m, due to the horizontal segment plate part that the region is ontology, i.e., in the region
The depth of water is constant, then the refractive index at this time in the region at arbitrary point is also constant N1=2.97, then the refraction in the region at this time
Rate can be expressed as:
N (x)=2.97,1.78m < x < 6m
When slope section region depth of water minimum, refractive index n (x1)=2.97；And when depth of water maximum, refractive index n(x2)
=1；N can be obtained by substituting into after calculating2(x)=4.4x+1；
It is hereby achieved that gentle slope section altitude curve function:
Claims (9)
1. a kind of waveguide concealed device applied to ripples, which is characterized in that including ontology, the ontology be two or so side by side
The class isosceles trapezoid structure of arrangement.
2. a kind of waveguide concealed device applied to ripples according to claim 1, which is characterized in that the class isosceles ladder
Shape structure is mainly made of horizontal segment plate with two sections of slope section curved slabs for being symmetrically connected to horizontal segment plate both ends, and ontology exists
It is arranged in waveguide along the ripples direction of propagation, the total length of class isosceles trapezoid structure is L, and the length of each slope section curved slab is
L1, the length of horizontal segment plate is L2；
When ontology is immersed in water, the depth of water at ontology bottom surface is h, using the ripples direction of propagation as x-axis, x-axis origin position
In on the central point of ontology, the height distribution of ontology along the x-axis direction is denoted as d (x), then the water depth distribution at body upper surface is just
H (x)=h-d (x)；
After determining the index distribution n (x) at different water depth, according to refractive index calculation formula:
Acquire body height distribution function
Refractive index distribution curve n (x) at different zones needs to meet following two condition:
1) whenWhen, due to the horizontal segment plate part that the region is ontology, i.e., the depth of water is constant in the region, then
The refractive index in the region at arbitrary point is also constant at this time, it is assumed that is N1, then the refractive index in the region is expressed as at this time: n2(x)
=N1
2) whenWhen, since the region is the slope section curved slab part of ontology, the depth of water and refractive index edge in the region
X direction change, then the refractive index in the region is expressed as at this time: n2(x)=f (x)
When slope section region depth of water minimum, refractive indexAnd when depth of water maximum, refractive index isGeneration
F (x) expression formula can be obtained after calculating by entering；
As f (x)=kx+b, acquire
As f (x)=ax2When+bx, acquire
WhenWhen, it acquires
3. a kind of design method of waveguide concealed device applied to ripples according to claim 2, which is characterized in that packet
Include following steps:
(1) one is taken to form class isosceles trapezoid structure as ontology by slope section curved slab and horizontal segment plate, total length is denoted as L；
(2) ontology is arranged side by side along the ripples direction of propagation in the waveguide, remembers slope section curved slab along the ripples direction of propagation
Projected length be L1, horizontal segment plate is L in the length on the ripples direction of propagation2；
(3) when ontology is immersed in water, the depth of water at ontology bottom surface is h, and the height distribution of ontology along the x-axis direction is denoted as d
(x), then the water depth distribution at ontology upper bottom surface is just h (x)=h-d (x)；
It (4), can be according to refractive index calculation formula after determining the index distribution n (x) at different water depth:
Acquire body height distribution function
(5) the refractive index distribution curve n (x) at different zones needs to meet following two condition:
1) whenWhen, due to the horizontal segment plate part that the region is ontology, i.e., the depth of water is constant in the region, then
The refractive index in the region at arbitrary point is also constant at this time, it is assumed that is N1, then the refractive index in the region can be expressed as at this time:
N (x)=N1
2) whenWhen, since the region is the slope section curved slab part of ontology, the depth of water and refractive index edge in the region
X direction change, then the refractive index in the region can be expressed as at this time: n2(x)=f (x)
As f (x)=kx+b；Wherein, k, b are coefficient, when slope section region depth of water minimum, refractive index n (x1)=N1；And work as water
When deep maximum, refractive index is n (x2)=1, substituting into after calculating can obtain:
As (x)=ax2When+bx, wherein a, b are coefficient, when slope section region depth of water minimum, refractive index n (x1)=N1；And work as
When depth of water maximum, refractive index is n (x2)=1, substituting into after calculating can obtain:WhenWhen, wherein k, b are coefficient, when slope section region depth of water minimum, refractive index n (x1)=N1；And work as water
When deep maximum, refractive index is n (x2)=1, substituting into after calculating can obtain
4. a kind of waveguide concealed device applied to ripples, which is characterized in that including ontology, the ontology be it is multiple it is continuous side by side
One end of arrangement is the class ladder structure of right angle of the slope section of highly gradient.
5. a kind of waveguide concealed device applied to ripples according to claim 4, which is characterized in that the class right angle ladder
Shape structure is mainly made of horizontal segment plate with one section of slope section curved slab for being connected to horizontal segment plate one end, and ontology is in waveguide
Middle to arrange along the ripples direction of propagation, the total length of class ladder structure of right angle is L, and the length of slope section curved slab is L1, horizontal segment
The length of plate is L2；
When ontology is immersed in water, the depth of water at ontology bottom surface is h, using the ripples direction of propagation as x-axis, x-axis origin position
In on the central point of ontology, the height distribution of ontology along the x-axis direction is denoted as d (x), then the water depth distribution at body upper surface is just
H (x)=h-d (x)；
After determining the index distribution n (x) at different water depth, according to refractive index calculation formula:
Acquire body height distribution function
Refractive index distribution curve n (x) at different zones needs to meet following two condition:
1) as 0 < x < L1When, since the region is the slope section curved slab part of ontology, the depth of water and refractive index are along the side x in the region
To variation, then the refractive index in the region is expressed as at this time: n2(x)=f (x)；
2) work as L1When < x < L, due to the horizontal segment plate part that the region is ontology, i.e., the depth of water is constant in the region, then at this time
Refractive index in the region at arbitrary point is also constant, it is assumed that is N1, then the refractive index in the region is expressed as at this time: n2(x)=
N1；
When slope section region depth of water minimum, refractive index n (L)=N1；And when depth of water maximum, refractive index is n (0)=1；It substitutes into
F (x) expression formula can be obtained after calculating；
As f (x)=kx+b, acquire
WhenWhen, it acquires
6. a kind of design method of waveguide concealed device applied to ripples according to claim 5, which is characterized in that packet
Include following steps:
(1) one is taken to form class ladder structure of right angle as ontology by slope section curved slab and horizontal segment plate, total length is denoted as L；
(2) ontology is arranged along the ripples direction of propagation in the waveguide, remembers slope section curved slab in the throwing on the ripples direction of propagation
Shadow length is L1, horizontal segment plate is L in the length on the ripples direction of propagation2；
(3) when ontology is immersed in water, the depth of water at ontology bottom surface is h, and the height distribution of ontology along the x-axis direction is denoted as d
(x), then the water depth distribution at ontology upper bottom surface is just；
It (4), can be according to refractive index calculation formula after determining the index distribution n (x) at different water depth
Acquire body height distribution function
(5) the refractive index distribution curve n (x) at different zones needs to meet following two condition:
1) as 0 < x < L1When, due to the slope section curved slab part that the region is ontology, i.e., the depth of water is variable, the area in the region
The depth of water changes in the x-direction with refractive index in domain, then the refractive index in the region can be expressed as at this time: n2(x)=f (x)；
2) work as L1When < x < L, due to the horizontal segment plate part that the region is ontology, i.e., the depth of water is constant in the region, then at this time
Refractive index in the region at arbitrary point is also constant, it is assumed that is N1, then the refractive index in the region can be expressed as at this time: n (x)
=N1；
As f (x)=kx+b；Wherein, k, b are coefficient, when slope section region depth of water minimum, refractive index n (x1)=N1；And work as water
When deep maximum, refractive index is n (x2)=1, substituting into after calculating can obtain
WhenWhen, wherein k, b are coefficient, when slope section region depth of water minimum, refractive index n (x1)=N1；
And when depth of water maximum, refractive index is n (x2)=1, substituting into after calculating can obtain
7. a kind of waveguide concealed device applied to ripples, which is characterized in that including ontology, the ontology by multiple cylindrical bodies or
Pile structure made of prism array arrangement.
8. a kind of waveguide concealed device applied to ripples according to claim 7, which is characterized in that the ontology is main
By multiple diameters, different, the identical cylindrical body of array pitch is constituted, and note lines up p row altogether, and every row q is a, total length L, wherein this
One section of the centre of body is identical by multiple diameters and the identical cylindrical body of spacing is constituted, length L1。
9. a kind of design method of waveguide concealed device applied to ripples according to claim 8, which is characterized in that packet
Include following steps:
(1) the identical cylindrical body composition ontology of multiple diameters differences, array pitch is taken, p row, every row q, ontology total length are lined up
L, wherein one section of the centre of ontology is identical by multiple diameters and the identical cylindrical body of spacing is constituted, length L1；
(2) ontology is arranged along the ripples direction of propagation in the sink, the ripples direction of propagation as x-axis, depth of water direction as y-axis, when
When ontology is immersed in water, the depth of water at ontology bottom surface is h, body height d, the index distribution of ontology along the x-axis direction
It is denoted as n (x), n (x) meets following two condition:
1) whenWhen, since the region is made of the identical cylindrical body of diameter, then at this time in the region at arbitrary point
Refractive index is constant, it is assumed that is N1, then the refractive index in the region can be expressed as at this time: n2(x)=N1
2) whenWhen, since by diameter, different, the identical cylindrical body of spacing is constituted in the region, then the region at this time
Refractive index can be expressed as:
n2(x)=f (x)=kx2+b
Wherein, k, b are coefficient, and defined herein effective refractive index isWherein Q is Bloch wave, and K is wave number；
As x=0, refractive indexWhenWhen, refractive index isSubstituting into after calculating can obtain:
It is possible thereby to calculate the diameter for meeting the cylindrical body of variations in refractive index.
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