CN107589178A - Method for realizing wave front regulation and control of sound waves by utilizing super-structure surface formed by Helmholtz resonators - Google Patents

Method for realizing wave front regulation and control of sound waves by utilizing super-structure surface formed by Helmholtz resonators Download PDF

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CN107589178A
CN107589178A CN201710698022.3A CN201710698022A CN107589178A CN 107589178 A CN107589178 A CN 107589178A CN 201710698022 A CN201710698022 A CN 201710698022A CN 107589178 A CN107589178 A CN 107589178A
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CN107589178B (en
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李义丰
蓝君
朱晓梅
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Nanjing Tech University
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Abstract

A method for realizing wave front regulation and control of sound waves by utilizing a super-structure surface formed by a Helmholtz resonator comprises the steps of forming micro-structure units by utilizing the Helmholtz resonator, forming the micro-structure surfaces by utilizing a plurality of micro-structure units, and changing the sound velocity of the sound waves in the super-structure surfaces by adjusting the width of a slit in each micro-structure unit under the condition that the unit size of the super-structure surfaces is far smaller than the wavelength of the sound waves, so that the phase of the sound waves is changed, and the wave front regulation and control of the sound waves are realized. The invention provides a super-structure surface which is simple in structure and easy to realize sound wave regulation.

Description

It is a kind of to be realized using the super structure surface being made up of Helmholtz resonator to acoustic wavefront Regulation and control method
Technical field
Helmholtz resonator is the present invention relates to the use of, wave length of sound is much smaller than in the unit size of acoustics metamaterial In the case of, realize the regulation and control to acoustic wavefront using the super structure surface being made up of Helmholtz resonator.
Background technology
The super structure surface of acoustics (Acoustic Metasurface) has artificial micro- knot of specific function by constructing certain Structure unit, the orderly regulation and control to acoustic wavefront are formed on micro unit yardstick, obtained special with the far different acoustics of nature material Property.The characteristic that is regulated and controled to wave field can be realized by surpassing structure surface using acoustics, can control and change the transmission side of acoustical signal Formula, realizes the regulation and control to acoustic wavefront, such as realizes anomalous refraction, non-diffraction Bezier wave beam.In the conventional super structure table of acoustics In the design in face, artificial micro-structure unit is made up of space folding structure, labyrinth structure or five mode structures etc., they Structure type it is relative complex, limit the practical application on super structure surface.How to design simple in construction, and sound wave is easy to grasp The super structure surface of control, has great significance.
The content of the invention
The purpose of the present invention is complex for having surpassed structure surface texture, actually uses the problem of inconvenient, proposes one Kind structure is relatively simple, the super structure surface being more easily implemented to sound wave control.
The technical scheme is that:
Present invention offer is a kind of to be realized to acoustic wavefront regulation and control using the super structure surface being made up of Helmholtz resonator Method, this method form microstructure unit using Helmholtz resonator, multiple microstructure units are formed into super structure surface, super In the case that structure surface cell yardstick is much smaller than wave length of sound, change super structure by adjusting the width of fine crack in microstructure unit The velocity of sound of sound wave in surface, and then change the phase of sound wave, so as to realize the regulation and control to acoustic wavefront.
Further, microstructure unit is by vertically engraving at least three Helmholtz sympathetic responses on a metal medium Device, the right side of each heimholtz resonator have rectangle fine crack structure;Multiple microstructure units carry out structure according to horizontally arranged mode Into super structure surface.
Further, the height H of described metal medium is that the thickness on super structure surface is 32mm, the cycle of microstructure unit Constant L is 8mm, and the width of fine crack is d;The neck length and width of Helmholtz resonator are respectively h=2mm and l=1mm, The height and width of Helmholtz resonator cavity are respectively a=6mm and b=2.5mm.
Further, the acoustic velocity c in super structure surfaceeffSpecifically meet following formula:
Wherein:ρ0For atmospheric density, equal to 1.21kg/m3;BeffIt is the equivalent modulus introduced after heimholtz resonator, Expression formula is
Wherein:B00c0 2For the body modulus of air, c herein0=343m/s, is the velocity of sound in air, thus B0It is normal Number;ω0For the resonance angular frequency of heimholtz resonator, (its size is f herein00/ 2 π=7331Hz), ω is input sound The frequency of ripple signal;F=ab/Ld is Helmholtz resonator cavity area and corresponding slot area ratio, and L represents micro-structural The phase constant of unit, d represent the width of fine crack in microstructure unit;A, b represents the height of Helmholtz resonator cavity respectively Degree and width.
Beneficial effects of the present invention:
The present invention has the characteristics of following compared with prior art, and this super structure surface cell is simple in construction, and the tune of the velocity of sound Saving can be realized by the fine crack width of adjustment unit structure, flexibly and easily;Can be real between super structure surface and background media Existing impedance matching, so as to greatly improve sonic transmissions efficiency, and high efficiency of transmission can be realized in wider frequency band range.This side Method may extend to the acoustic wavefront regulation and control of all phase scope, super-resolution imaging, focusing and the detection that can be applied in acoustics.
Other features and advantages of the present invention will be described in detail in subsequent specific embodiment part.
Brief description of the drawings
Exemplary embodiment of the invention is described in more detail in conjunction with the accompanying drawings, it is of the invention above-mentioned and its Its purpose, feature and advantage will be apparent, wherein, in exemplary embodiment of the invention, identical reference number Typically represent same parts.
Fig. 1 experimental system block diagrams
The structural representation on the super structure surface that Fig. 2 is made up of Helmholtz resonator and fine crack
Fig. 3 realizes that Abnormal acoustic wave reflects by super structure surface, wherein
Fig. 3 a Abnormal acoustic waves reflect schematic diagram
Fig. 3 b sound velocity gradient change schematic diagrams:Solid line is sonic velocity change rule ideally, and chain-dotted line is by super structure The sound velocity gradient change that surface is realized
The acoustic pressure field distribution that Fig. 3 c sound waves pass through formation anomalous refraction behind super structure surface
Fig. 4 realizes the non-diffraction Bezier wave beam of sound wave by super structure surface, wherein
Fig. 4 a Bezier Wave beam forming schematic diagrames
Fig. 4 b sound velocity gradient change schematic diagrams:Solid line is sonic velocity change rule ideally, and chain-dotted line is by super structure The sound velocity gradient change that surface is realized
Fig. 4 c sound waves are distributed by forming the sound intensity of non-diffraction Bezier wave beam behind super structure surface
Embodiment
The preferred embodiment of the present invention is more fully described below with reference to accompanying drawings.Although the present invention is shown in accompanying drawing Preferred embodiment, however, it is to be appreciated that may be realized in various forms the present invention without the embodiment party that should be illustrated here Formula is limited.
Present invention offer is a kind of to be realized to acoustic wavefront regulation and control using the super structure surface being made up of Helmholtz resonator Method, this method form microstructure unit using Helmholtz resonator, multiple microstructure units are formed into super structure surface, super In the case that structure surface cell yardstick is much smaller than wave length of sound, change super structure by adjusting the width of fine crack in microstructure unit The velocity of sound of sound wave in surface, and then change the phase of sound wave, so as to realize the regulation and control to acoustic wavefront.
Further, microstructure unit is by vertically engraving at least three Helmholtz sympathetic responses on a metal medium Device, the right side of each heimholtz resonator have rectangle fine crack structure;Multiple microstructure units carry out structure according to horizontally arranged mode Into super structure surface.
Further, the height H of described metal medium is that the thickness on super structure surface is 32mm, the cycle of microstructure unit Constant L is 8mm, and the width of fine crack is d;The neck length and width of Helmholtz resonator are respectively h=2mm and l=1mm, The height and width of Helmholtz resonator cavity are respectively a=6mm and b=2.5mm.
Further, the acoustic velocity c in super structure surfaceeffSpecifically meet following formula:
Wherein:ρ0For atmospheric density, equal to 1.21kg/m3;BeffIt is the equivalent modulus introduced after heimholtz resonator, Expression formula is
Wherein:B00c0 2For the body modulus of air, c herein0=343m/s, is the velocity of sound in air, thus B0It is normal Number;ω0For the resonance angular frequency of heimholtz resonator, (its size is f herein00/ 2 π=7331Hz), ω is input The frequency of acoustic signals;F=ab/Ld is Helmholtz resonator cavity area and corresponding slot area ratio, and L represents micro- knot The phase constant of structure unit, d represent the width of fine crack in microstructure unit;A, b represents Helmholtz resonator cavity respectively Height and width.
During specific implementation:
To the validity and feasibility of this invention, We conducted numerical analysis.For Abnormal acoustic wave reflect, by broad sense this Nie Er laws understand that the inverse for the acoustic velocity propagated along the x-axis direction can be expressed as
In formula, H be metamaterial thickness, c0=343m/s is the velocity of sound in air, refraction angle θt=20 °, c (0) is super The velocity of sound at the left boundary of structure surface.Surpass structure surface for this, share 12 cellular constructions, as shown in Figure 3 c, we can lead to The fine crack width of its cellular construction is overregulated to adjust the velocity of sound of Acoustic Wave Propagation.We are arranged on the high order end sound wave on super structure surface Velocity of sound c (0) with maximum, and have the velocity of sound c (D) of minimum in its low order end, concrete numerical value is respectively c (0)=c0/ 2.2 and c (D)=c0/ 3.4, D is the width on super structure surface herein.In order to realize the regulation to the velocity of sound in super structure surface, 12 cellular constructions The excursion of the width of middle fine crack from left to right is 4.5mm to 2.3mm, change step 0.2mm.Sound wave surpasses structure table by this Oscillogram of the anomalous refraction formed behind face in 6970Hz is as shown in Figure 3 c.
For non-diffraction Bezier wave beam, it can be seen from broad sense Snell's law, the acoustic velocity propagated along the x-axis direction Inverse can be expressed as
In formula, H, c0、θtEqually, c (0) is the minimum velocity of sound of super structure surface middle to=20 ° of the same above formula of implication (1).It is right Surpass structure surface in this, share 23 cellular constructions, as illustrated in fig. 4 c, we can be by adjusting the fine crack width of its cellular construction To adjust the velocity of sound of Acoustic Wave Propagation.The left and right ends sound wave that we are arranged on super structure surface has maximum velocity of sound c (± D/2), And there is the velocity of sound c (0) of minimum at place therebetween, concrete numerical value is respectively c (± D/2)=c0/ 2.2 and c (0)=c0/ 3.4, this Locate the width that D is super structure surface.In order to realize the regulation to the velocity of sound in super structure surface, the width of fine crack in the cellular construction in left side Middle position 2.3mm is changed to by the 4.5mm of high order end, and the width of fine crack is by middle position in the cellular construction on right side 2.3mm be changed to low order end 4.5mm, change step is 0.2mm.Sound wave surpassed by this formed behind structure surface it is non-diffraction Sound intensity oscillogram of the Bezier wave beam in 6970Hz is as shown in Fig. 4 c.
The present invention is proposed using Helmholtz resonator and fine crack to form the cellular construction on super structure surface, passes through regulation The width of fine crack change the velocity of sound of sound wave in super structure surface, and then realize the regulation and control to acoustic wavefront, for example form sound wave Anomalous refraction, non-diffraction Bezier wave beam etc..The method may extend to the acoustic wavefront regulation and control of all phase scope, can be applied to sound Super-resolution imaging, focusing and detection in.
It is described above various embodiments of the present invention, described above is exemplary, and non-exclusive, and It is not limited to disclosed each embodiment.In the case of without departing from the scope and spirit of illustrated each embodiment, for this skill Many modifications and changes will be apparent from for the those of ordinary skill in art field.

Claims (5)

1. a kind of method realized using the super structure surface being made up of Helmholtz resonator to acoustic wavefront regulation and control, this method profit Microstructure unit is formed with Helmholtz resonator, multiple microstructure units are formed into super structure surface, it is characterized in that in super structure table In the case that face unit yardstick is much smaller than wave length of sound, change super structure surface by adjusting the width of fine crack in microstructure unit The velocity of sound of middle sound wave, and then change the phase of sound wave, so as to realize the regulation and control to acoustic wavefront.
2. according to claim 1 realize to regulate and control acoustic wavefront using the super structure surface being made up of Helmholtz resonator Method, it is characterized in that microstructure unit is by vertically engraving at least three heimholtz resonators on a metal medium, The right side of each heimholtz resonator has rectangle fine crack structure.
3. according to claim 2 realize to regulate and control acoustic wavefront using the super structure surface being made up of Helmholtz resonator Method, it is characterized in that the height H of described metal medium be super structure surface thickness be 32mm, the cycle of microstructure unit is normal Number L is 8mm, and the width of fine crack is d;The neck length and width of Helmholtz resonator are respectively h=2mm and l=1mm, the last of the twelve Earthly Branches The height and width of Mu Huozi acoustic resonator cavitys are respectively a=6mm and b=2.5mm.
4. according to claim 1 realize to regulate and control acoustic wavefront using the super structure surface being made up of Helmholtz resonator Method, it is characterized in that described multiple microstructure units form super structure surface according to horizontally arranged mode.
5. according to claim 1 realize to regulate and control acoustic wavefront using the super structure surface being made up of Helmholtz resonator Method, it is characterized in that the acoustic velocity c in super structure surfaceeffSpecifically meet following formula:
<mrow> <mfrac> <mn>1</mn> <msub> <mi>c</mi> <mrow> <mi>e</mi> <mi>f</mi> <mi>f</mi> </mrow> </msub> </mfrac> <mo>=</mo> <msqrt> <mfrac> <msub> <mi>&amp;rho;</mi> <mn>0</mn> </msub> <msub> <mi>B</mi> <mrow> <mi>e</mi> <mi>f</mi> <mi>f</mi> </mrow> </msub> </mfrac> </msqrt> <mo>=</mo> <msqrt> <mrow> <mfrac> <msub> <mi>&amp;rho;</mi> <mn>0</mn> </msub> <msub> <mi>B</mi> <mn>0</mn> </msub> </mfrac> <mrow> <mo>(</mo> <mn>1</mn> <mo>+</mo> <mfrac> <mrow> <msup> <msub> <mi>F&amp;omega;</mi> <mn>0</mn> </msub> <mn>2</mn> </msup> </mrow> <mrow> <msup> <msub> <mi>&amp;omega;</mi> <mn>0</mn> </msub> <mn>2</mn> </msup> <mo>-</mo> <msup> <mi>&amp;omega;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow> </msqrt> <mo>=</mo> <msqrt> <mrow> <mfrac> <msub> <mi>&amp;rho;</mi> <mn>0</mn> </msub> <msub> <mi>B</mi> <mn>0</mn> </msub> </mfrac> <mrow> <mo>(</mo> <mn>1</mn> <mo>+</mo> <mfrac> <mrow> <msup> <msub> <mi>ab&amp;omega;</mi> <mn>0</mn> </msub> <mn>2</mn> </msup> </mrow> <mrow> <mi>L</mi> <mi>d</mi> <mrow> <mo>(</mo> <msup> <msub> <mi>&amp;omega;</mi> <mn>0</mn> </msub> <mn>2</mn> </msup> <mo>-</mo> <msup> <mi>&amp;omega;</mi> <mn>2</mn> </msup> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow> </msqrt> </mrow>
Wherein:ρ0For atmospheric density, equal to 1.21kg/m3;BeffIt is the equivalent modulus introduced after heimholtz resonator, expresses Formula is
<mrow> <mfrac> <mn>1</mn> <msub> <mi>B</mi> <mrow> <mi>e</mi> <mi>f</mi> <mi>f</mi> </mrow> </msub> </mfrac> <mo>=</mo> <mfrac> <mn>1</mn> <msub> <mi>B</mi> <mn>0</mn> </msub> </mfrac> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mfrac> <mrow> <msup> <msub> <mi>F&amp;omega;</mi> <mn>0</mn> </msub> <mn>2</mn> </msup> </mrow> <mrow> <msup> <mi>&amp;omega;</mi> <mn>2</mn> </msup> <mo>-</mo> <msup> <msub> <mi>&amp;omega;</mi> <mn>0</mn> </msub> <mn>2</mn> </msup> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow>
Wherein:B00c0 2For the body modulus of air, c herein0=343m/s, is the velocity of sound in air, thus B0It is constant;ω0 For the resonance angular frequency of heimholtz resonator, ω is the frequency of input acoustic signals;F=ab/Ld is Helmholtz resonator Cavity area and corresponding slot area ratio, L represent the phase constant of microstructure unit, and d represents fine crack in microstructure unit Width;A, b represents the height and width of Helmholtz resonator cavity respectively.
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CN108417197A (en) * 2018-02-28 2018-08-17 西南交通大学 A kind of super clever surface apparatus of acoustics based on helmholtz resonance chamber
CN110012397A (en) * 2019-05-10 2019-07-12 美特科技(苏州)有限公司 A kind of loudspeaker
CN110584713A (en) * 2019-09-29 2019-12-20 深圳先进技术研究院 Super-resolution ultrasonic microscope
CN113667231A (en) * 2021-09-15 2021-11-19 河南工业大学 Multilayer cylindrical three-dimensional five-mode super-structural material

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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108417197A (en) * 2018-02-28 2018-08-17 西南交通大学 A kind of super clever surface apparatus of acoustics based on helmholtz resonance chamber
CN110012397A (en) * 2019-05-10 2019-07-12 美特科技(苏州)有限公司 A kind of loudspeaker
CN110584713A (en) * 2019-09-29 2019-12-20 深圳先进技术研究院 Super-resolution ultrasonic microscope
CN110584713B (en) * 2019-09-29 2022-08-09 深圳先进技术研究院 Super-resolution ultrasonic microscope
CN113667231A (en) * 2021-09-15 2021-11-19 河南工业大学 Multilayer cylindrical three-dimensional five-mode super-structural material

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