CN102510548A - Output adjustment method for sound energy obtained by sound wave interaction in nonlinear medium - Google Patents

Abstract

The invention provides an output adjustment method for sound energy obtained by sound wave interaction in a nonlinear medium. The output adjustment method comprises the following steps of: (a) performing nonlinear interaction on a pump wave with the frequency of w3 and a weak signal wave with the frequency of omega1, and generating a resonance wave with the frequency of omega2; (b) respectively calculating amplitude values B1(x), B2(x) and B3(x) of the three waves at the displacement x after interaction according to the frequencies omega3, omega1 and omega2 of the pump wave, the weak signal wave and the resonance wave; and (c) adjusting the output energy of the three waves according to the change characteristics of the amplitude values B1(x), B2(x) and B3(x) of the pump wave, the weak signal wave and the resonance wave. According to the output adjustment method, the energy of the generated sound wave is changed according to a pulse rule on the basis of a basic theory of interaction of sound waves in optics and hydroacoustics; therefore, the output energy of each wave can be adjusted according to actual requirements.

Description

The output adjusting method of acoustic energy after sound wave interacts in the nonlinear dielectric

Technical field

The present invention relates to sound wave nonlinear interaction field, relate in particular to the interactional output adjusting method of nonlinear parameter between the sound wave.

Background technology

The nonlinear interaction that proposes utilization sound and sound since nineteen sixty Vista Wei Erte has formed since the parametric array notion, and the development of nonlinear acoustics is more and more faster, uses more and more extensivelyr, and its research and application obtained a lot of new progresses.The nonlinear interaction of underwater acoustic wave can be thought to have formed variable element reflector or variable element receiver in interaction zone.The notion of variable element interaction process is born in the study of radio, when its essence is electric capacity or the variation of inductance generating period property in certain oscillating circuit, just can make ultra-weak electronic signal occur amplifying or weakening.Take place in the process of nonlinear interaction between the sound wave, the parametric interaction problem is occupied extremely important status.In the process of acoustic wave energy transmission, what play the role of a nucleus is to induce diffusion process, makes weak signal ripple and pump wave interaction produce each order harmonics simultaneously; Show as the unsteadiness of applicator quantum splitting; The vibration of ripple, the transfer of spectrum energy etc., but observe law of conservation of energy in the interaction process.The interactional condition of nonlinear parameter takes place being medium between the sound wave, to have one of strong non-linear or interactional sound wave be high-power sound wave, can exciting media non-linear, this sound wave can low-frequency sound wave also can be a low-frequency sound wave.Existing a lot of scholar's research the parametric interaction problem of sound wave, Fenlon utilizes fourier progression expanding method, has provided the interact form of expression of each frequency content of back of a plurality of large amplitude simple harmonic quantity sound waves.Be the basis with the Fenlon theory in the prior art, studied in the air dielectric good amplitude wave to the inhibition of sound wave, also relevant for of the research of good amplitude wave to the scale-up problem of smooth sea.Utilize two hyperacoustic nonlinear interactions theories in the spectral factorization method research aqueous medium in addition, the variation of low frequency wave energy has been discussed.Do not generate ω after interacting about the sound wave variable element ₂Three row magnitudes of acoustic waves are with the variation characteristic of distance and frequency, the acoustic wave energy energy transfer process with propagation distance and frequency change after the new sound field.

Summary of the invention

The object of the present invention is to provide the interact output adjusting method of back acoustic energy of sound wave in a kind of nonlinear dielectric of the output energy that can regulate each train wave according to actual needs.

The objective of the invention is to realize like this:

May further comprise the steps:

(a) frequency is ω ₃Pump ripple and frequency be ω ₁Weak signal ripple generation nonlinear interaction, the generation frequency is ω ₂Resonance wave;

(b) according to said pump ripple, weak signal ripple resonant wave frequency ω ₃, ω ₁And ω ₂, the amplitude B at three train wave displacement x places after calculating interacts respectively ₁(x), B ₂(x) and B ₃(x);

(c) according to the pump wave amplitude B that obtains ₃(x), weak signal wave amplitude B ₁(x) and resonance wave amplitude B ₂(x) variation characteristics realize the output energy adjustment to three train waves.

The present invention can also comprise:

1, said resonance wave is and frequently resonance wave or difference frequency resonance wave, i.e.

perhaps

2, the amplitude B at said calculating three train wave displacement x places ₁(x), B ₂(x) and B ₃(x) method is:

Step (b1) is calculated and is obtained at the displacement x place sound wave vibration velocity v (x) according to pump ripple and weak signal ripple interactional Burgers (Burgers) equation in nonlinear dielectric;

The sound wave vibration velocity v (x) that step (b2) obtains according to step (b1) calculates the wave amplitude equation that obtains after three row sound waves interact;

Three train waves after step (b3) is obtained to interact by the wave amplitude Equation for Calculating are at the amplitude B at displacement x place ₁(x), B ₂(x) and B ₃(x).

3, said Burgers (Burgers) equation is:

Wherein, v is a sound wave vibration velocity,

B/A is the nonlinear parameter of medium, is the ratio of quadratic term coefficient and linear coefficient in the state equation taylor series expansion, and it is the basic parameter of nonlinear acoustics, c ₀Be the static velocity of sound, ρ ₀Be the density of nonlinear dielectric,

Be time delay, x is a measuring distance.B is the medium coefficient of viscosity,

ζ is for cutting the coefficient of viscosity, and η is the body coefficient of viscosity,

Be temperature conductivity coefficient, c _v, c _pBe electric capacity specific heat and voltage specific heat;

The sine wave that sound source is sent at the x=0 place, sound wave vibration velocity v (x) is expressed as at the displacement x place to calculate acquisition:

Wherein, A ₁(x), A ₂(x), A ₃(x) be the complex amplitude of three row sound waves, c is a constant.

4, nonlinear dielectric is a water.

5, the wave amplitude equation after three row sound waves interact:

Wherein,

is the phase mismatch factor.If

then three ripples is phase matched; Be equivalent to three phonon conservations of momentum,

is dissipation factor.

6, when the resonance wave that produces be and during the frequency resonance wave; Promptly when

, the complex amplitude of three train waves is expressed as the form of real amplitude and phase place:

Wherein, B ₁(x), B ₂(x), B ₃(x) and

Be frequencies omega ₁, ω ₂, ω ₃The real number amplitude and the phase constant of sound wave;

Dissipation factor The pump intensity of wave does not change initial condition because generate resonance wave

The time, trying to achieve the back frequency of sound wave that interacts is ω ₁, ω ₂Amplitude do

7, when the resonance wave that produces is the difference frequency resonance wave; Promptly when , the complex amplitude of three train waves is expressed as the form of real amplitude and phase place:

Wherein, B ₁(x), B ₂(x), B ₃(x) and

Be frequencies omega ₁, ω ₂, ω ₃The real number amplitude and the phase constant of sound wave;

During dissipation factor

initial condition

, the amplitude of trying to achieve the back three row sound waves that interact is:

is the Jacobi elliptic function;

wherein,

8, according to the back pump wave amplitude B that interacts ₃(x), weak signal wave amplitude B ₁(x) resonant wave amplitude B ₂(x), regulate the output energy of weak signal ripple or resonance wave with the variation characteristics of propagation distance.

9, according to the back weak signal wave amplitude B that interacts ₁(x) resonant wave amplitude B ₂(x) with pump wave frequency ω ₃The variation characteristics, regulate the output energy of weak signal ripple or resonance wave;

Perhaps, according to the back weak signal wave amplitude B that interacts ₁(x)) resonant wave amplitude B ₂(x) with weak signal wave frequency ω ₁The variation characteristics, regulate the output energy of weak signal ripple or resonance wave;

Perhaps, according to the back weak signal wave amplitude B that interacts ₁(x) resonant wave amplitude B ₂(x) with pump wave amplitude B ₃(0) variation characteristics, the output energy of adjusting weak signal ripple or resonance wave.

Method of the present invention in conjunction with the interactional basic principle of sound wave in optics and the marine acoustics, is considered the dissipation effect that high-power sound wave is propagated, sound wave ω in the aqueous medium in nonlinear dielectric ₁And ω ₃The second order nonlinear effect that (weak signal ripple and pump ripple) causes because of nonlinear interaction generates and frequency sound wave ω ₂Or difference frequency sound wave ω ₂, utilized runge kutta method (Runger-Kutta) numerical analysis the sound wave variable element back that interacts generate ω ₂Resonance wave after three row magnitudes of acoustic waves with the variation characteristic of distance and frequency, acoustic wave energy energy transfer process with propagation distance and frequency change; Confirm that the energy variation that generates sound wave presents the pulsation rule, can regulate the output energy of each train wave according to actual needs.

Description of drawings

Fig. 1 is that magnitudes of acoustic waves is with the propagation distance change curve;

Fig. 2 is that acoustic wave energy is with the propagation distance change curve;

Fig. 3 is that acoustic wave energy is with pump wave frequency change curve;

Fig. 4 is weak signal wave amplitude (ω ₁Ripple) with pump wave amplitude and frequency variation curve;

Fig. 5 is weak signal wave energy (ω ₁Ripple) with pump wave amplitude and frequency variation curve;

Fig. 6 is that magnitudes of acoustic waves is with the propagation distance change curve; Wherein

(a) be pump wave frequency ω ₃During for 2kHz, weak signal wave amplitude (ω ₁Ripple), resonance wave amplitude (ω ₂Ripple), pump wave amplitude (ω ₃Ripple) with the propagation distance change curve;

(b) be pump wave frequency ω ₃During for 5kHz, weak signal wave amplitude (ω ₁Ripple), resonance wave amplitude (ω ₂Ripple), pump wave amplitude (ω ₃Ripple) with the propagation distance change curve;

(c) pump wave frequency ω ₃During for 10kHz, weak signal wave amplitude (ω ₁Ripple), resonance wave amplitude (ω ₂Ripple), pump wave amplitude (ω ₃Ripple) with the propagation distance change curve;

Fig. 7 is different pump wave frequency ω ₃The time, resonance wave energy (ω ₂Ripple) with the propagation distance change curve;

Fig. 8 is different pump wave amplitude (ω ₃Ripple) time, weak signal wave energy (ω ₁Ripple) with the propagation distance change curve.

Fig. 9 is the flow chart of the interactional output adjusting method of nonlinear parameter between the sound wave.

Embodiment

To combine accompanying drawing and embodiment that technical scheme of the present invention is explained in more detail below.

The present invention is the basis with Burgers (Burgers) equation; Draw the expression formula of the amplitude of each sound field after weak signal ripple and the pump wave interaction; Utilize the emulation of Runger-Kutta method to obtain amplitude or the energy of each sound field change curve with propagation distance; The non-linear variable element interaction of the sound wave back energy transfer process that obtains directly perceived is utilized said transfer, realizes the output energy adjustment to three train waves.

The variable element interaction phenomenon of sound wave is explained with the quantum mechanics language, promptly can regard high frequency pump ripple ω as ₃Phonon splits into two low frequency omega ₁, ω ₂Phonon perhaps splits into the more process of low frequency phonon.The essence of three-wave interaction is the non-linear variable element of sound wave to have taken place interact.In aqueous medium, as pump ripple ω ₃With weak signal sound wave ω ₁Nonlinear interaction takes place generate ω ₂The time, realize Best Coupling (sound wave resonance), must observe the following law of conservation of energy and the law of conservation of momentum

In the formula, for composing bright gram constant, k ₁, k ₂, k ₃Be the sound wave wave number.When satisfying formula (1), can only consider ω ₁, ω ₂, ω ₃The coupling of this three row frequency wave, and can not consider any coupling of this three row frequency wave and all other frequency waves fully.Sound wave is the acoustic energy conservation in the nonlinear interaction process, and when formula (1) was satisfied in acoustic wave energy generation transfer, energy exchange was maximum between the sound wave.

In desirable nonlinear dielectric,

weak signal ripple and pump ripple interaction process in nonlinear dielectric can be write as general Burgers equation form when sound Reynolds number

In the formula, v is a underwater acoustic wave vibration velocity, B/A is the nonlinear parameter of medium, is the ratio of quadratic term coefficient and linear coefficient in the state equation taylor series expansion, and it is the basic parameter of nonlinear acoustics, c ₀Be the static velocity of sound, ρ ₀Be the density of aqueous medium,

Be time delay, x is a propagation distance.B is the medium coefficient of viscosity,

ζ is for cutting the coefficient of viscosity, and η is the body coefficient of viscosity,

Be temperature conductivity coefficient, c _v, c _pBe electric capacity specific heat and voltage specific heat.

Suppose that sound source locates to launch sinusoidal signal at , provide the form that displacement x place sound wave separates according to the Burgers equation and do

In the formula, A ₁(x), A ₂(x), A ₃(x) be the complex amplitude of sound wave, c is a constant.

Consider the dissipation effect that high-power sound wave is propagated in nonlinear dielectric, this moment, acoustic energy was non-vanishing to the derivative of displacement x, and the wave amplitude equation does after the interaction that obtains three row sound waves in the formula (3) of deriving

In the formula,

is the phase mismatch factor.If

then three ripples is phase matched, be equivalent to three phonon conservations of momentum. is dissipation factor.

Formula (4) is the Non-Self-Governing form; For make find the solution on this equation mathematics more convenient; Numerical computations also is convenient to handle, and does simple conversion and turns to autonomous form

Formula (5) is a form common in the three-wave interaction problem.

Conservation of momentum during three ripple Best Coupling; Get

and multiply by

successively when x gets arbitrary value when three formulas of the dissipation effect of ignoring sound wave

formula (4), formula (4) becomes through after the integral operation

Per two equations in the formula (6) subtract each other all can obtain another equation, is not independently each other.Second with formula (6) is multiplied by ω ₁, the 3rd is multiplied by ω ₂, and utilize After conversion, can obtain law of conservation of energy

Formula (7) shows; If total acoustic energy at coordinate x place be

following formula (7) just

explain that its gross energy is constant in the interactional process of three row frequency sound waves.In other words, the energy value of sound wave just exchanges between each frequency sound wave, and medium is not participated in, and only plays instrumentality, and this is interactional characteristics of all parameters just also.

Formula (6) can further be written as

In the formula, E ₁(x), E ₂(x), E ₃(x) be that sound wave is at the acoustic energy value apart from sound source x place.Between formula (8) and the nonlinear optics derivation light wave interactional Manley-Rowe form class seemingly, the nonlinear interaction form of underwater acoustic wave and meaning also can be used for reference in the optics the interactional meaning of light wave and analyze and handle thus.According to the Manley-Rowe theorem, formula (6) differential is got

Utilize the physical definition of sound energy flux density, the phonon average flux expression formula for then formula (9) be rewritten as

According to formula (10), the acoustic energy transfer relationship of nonlinear interaction between the sound wave is carried out qualitative analysis.Formula (10) shows in the sound wave interaction process that frequency is ω ₃Phonon of the every minimizing of sound wave, then frequency is ω ₁And ω ₂Sound wave all to increase a phonon, this that is to say powerful sound wave ω in accordance with the acoustic energy law of conservation ₃Incide in the nonlinear dielectric, making the incident frequency is ω ₁Weak sound wave convert frequency to through difference frequency and do

(perhaps ) sound wave, this process is the process of sound wave decay, i.e. dN ₁, dN ₂Increment for just, and dN ₃Increment for negative.Can estimate the action effect of nonlinear interaction thus according to formula (9) and formula (10).

The complex amplitude form of expression of three row sound waves does

In the formula, B ₁(x), B ₂(x), B ₃(x) and

Be frequencies omega ₁, ω ₂, ω ₃The real number amplitude and the phase constant of sound wave.

Below divide two kinds of situation to draw nonlinear interaction and produce the resonance wave amplitude

1 and sound wave frequently

Beginning not have frequency in the sound field is ω ₂Sound wave, this component is to do by frequency

Sound wave coupling form.If the pump intensity of wave can not have bigger change because of generating sound wave; Then can the pump wave field be approximately a constant field, promptly

has the formula (4) of formula (11) substitution three ripple couplings

In the formula;

is approximately at 0 o'clock in dissipation, and preceding two equations of formula (12) can also be expressed as

Wushu (13) generation is to the 3rd equation of formula (12), and through after the integral operation does

In formula (14); When initial condition ; Formula (14) both members is equated,

arranged discuss below

at this moment and get

so formula (13) can further be written as

Because formula (15) is linear, separate the form of being write as following formula to it so long

For asking the particular solution of formula (15), with formula (16) substitution formula (15), make that the determinant of equation is zero after the substitution, promptly

Formula (17) can be confirmed two value l of l ₁, l ₂, formula (15) separating and can be rewritten into thus

Wherein, C _{I, j}Be undetermined constant, by

The boundary condition at place

Confirm.

Because formula (15) only can be found the solution with mathematical method or numerical method,, can suppose when pumping source is strong for trying to achieve its analysis result

The back frequency of sound wave that obtains thus interacting is ω ₁, ω ₂The amplitude analytic solutions

Find out B by formula (20) ₂(x) amplitude is by weak signal strength B in the sound field ₁(0) confirms.

2, difference frequency sound wave

Beginning not have frequency in the sound field is ω ₂Sound wave, this component is to do by frequency

Sound wave coupling form.When considering pump ripple ω ₃During energy variation in the nonlinear interaction process, obtain following ACOUSTIC WAVE EQUATION according to three ripple coupled wave equation formulas (4)

Ordinary circumstance following formula (21) only can be found the solution with mathematical method or numerical method; For trying to achieve its analysis result; When the dissipation factor

of three ripples; Utilizing

locates; Initial condition formula (19) and

are similar with the solution of formula (12); Per two equations combination of formula (21) obtains after integral and calculating

The form that formula (22) substitution formula (23) obtains variables separation does

In the formula;

obtains after introducing

conversion for asking separating of formula (23)

The left-hand component of formula (24) contains the single order ellptic integral, utilizes ellptic integral

After variable

replacement, obtain

In the formula;

be κ (y thus; K) also can be write as κ (ψ; K) form; The inverse function

of claiming

is the Jacobi elliptic function, and two kinds of forms of other of elliptic function can be write

During as ; The result of integration type (25) is a complete elliptic integral of the first kind; Its value is designated as ∝, and the expression-form of ∝ is:

According to the ellptic integral of the Jacobian transform (24) of the complete elliptic function of the first kind, the ripple of the back three row sound waves that interact is separated and can be write as the following formula form

Formula (27) provides behind the three-wave interaction sound wave amplitude form of expression that the elliptic function form of substantial connection is arranged with variable

, has the obvious periodic feature of elliptic function.

In the formula (20) in

and the formula (27)

all represent the sound wave phase place; And phase place and propagation distance x are proportional, and the sound wave amplitude is the function of measuring distance.Find out B by formula (27) ₂(x) maximum is by stronger in a sound field pumping source intensity B ₃(0) confirms.

Below utilize the emulation of Runger-Kutta method that the amplitude or the energy of each sound field of obtaining carried out emulation, obtain amplitude or the energy of each sound field change curve, wherein ω with propagation distance ₁Weak signal ripple initial magnitude is 1, and frequency is 1kHz, and the non-linear variable element of aqueous medium is 3.6.

(1) do not considering to have carried out following simulation analysis according to separating (20) under the situation that the pumping source acoustic energy changes.A: measuring distance x is 178.5 meters, and the pumping source initial magnitude is 10, and frequency is 80000rad/s; Amplitude is as shown in Figure 1 with the variable in distance curve, and energy is as shown in Figure 2 with the variable in distance curve.B: measuring distance is 78.5 meters, and the pumping source initial magnitude is taken as 10, and frequency is 1000rad/s～80000rad/s, and energy is as shown in Figure 3 with the pumping source frequency variation curve; When the pumping source amplitude is 1100, the weak signal wave amplitude is as shown in Figure 4 with pumping source amplitude and frequency variation curve; ω ₁The energy difference is as shown in Figure 5 with pumping source amplitude and frequency variation curve before and after the ripple nonlinear interaction.

When (2) considering the pumping source energy variation, utilize the Runger-Kutta method that sound wave interaction back acoustic signature is carried out numerical analysis.Parameter: the coefficient of viscosity of aqueous medium does when getting 10 ℃

The dissipation parameter

A: the pumping source initial magnitude is 10, and frequency is 2kHz, 5kHz, and 10kHz, it is as shown in Figure 6 with the measuring distance change curve to obtain sound wave interaction back amplitude, generates ω ₂Wave energy is as shown in Figure 7 with the variable in distance curve.B: the pumping source frequency is taken as 2kHz, and amplitude is taken as 5,10,20, generates ω ₁Wave energy is as shown in Figure 8 with the variable in distance curve.

B among each figure ₁, B ₂, B ₃Frequency is ω after representing the sound wave variable element to interact respectively ₁, ω ₂And ω ₃The amplitude of sound wave.DE ₁Represent ω ₁Energy difference before the wave interaction after energy and the interaction, dE ₂After interacting, representative generates ω ₂The energy value of ripple.

Weak signal ripple ω among Fig. 1 ₁With pump ripple ω ₃Through and frequently

Generate ω ₂Ripple, sound wave is the acoustic energy conservation in the process that nonlinear interaction takes place, and the acoustic wave energy that generates mainly comes from weak signal ripple ω ₁So the weak signal ripple shifts energy to newly-generated sound wave ω again ₂Process in the energy of weak signal ripple will reduce.See newly-generated sound wave ω from expression formula (20) ₂Amplitude presents periodic variation, generates thus and frequency ω ₂Sound field can not unrestrictedly increase, the power entrained when weak signal is evacuated, ω ₂Power increase process gradually in, saturated phenomenon can appear, ω ₂Ripple can be passed to ω to energy back again ₁, as can be seen from Figure 1 waveform presents the variation of pulsation trend.Fig. 2～5 simulation results see that the energy of weak signal ripple all can reduce as long as between the sound wave nonlinear interaction has taken place, and greater than zero, maximum decrease can reach thirties dB to difference all the time, and magnitude and energy variation all present the cycle and pulse.By (a) (b) (c) figure contrast discovery of Fig. 6, initial sound wave ω ₂Acoustic pressure be zero, weak signal sound wave ω ₁With pump ripple ω ₃Nonlinear interaction takes place

Shift and give sound wave ω ₂, sound wave ω thus ₂Amplitude start from scratch gradually and to increase, want to make weak signal ω ₁Magnitudes of acoustic waves is farthest amplified in certain segment distance to be needed to satisfy

When

The time, added damping parameter, find out that from figure damping parameter can change the range attenuation rate of sound wave, to the not influence of propagation law of sound wave, frequency is high more, and it is big more to decay.Fig. 7 shows the increase with the pumping source frequency, ω ₂Acoustic wave energy reduces; When Fig. 8 was illustrated in the pumping source frequency and is the twice of signal frequency, along with the increase of pumping source frequency, the amplification quantity of weak signal increased.Increase or reduce trend and still present the variation of pulsation rule.

Can find out through simulation result:

(1) between the sound wave the interactional process of non-linear variable element takes place in, generate new frequency content and shift with energy.

(2) when generating with sound wave frequently in the non-linear variable element interaction process of sound wave and frequently the energy of ripple mainly comes from the weak signal ripple because the conservation of energy in the interaction process, institute so that the weak signal ripple reduce certain section propagation distance self-energy.

(3) when the non-linear variable element interaction process of sound wave generates the difference frequency sound wave; The energy of difference frequency ripple mainly comes from pumping source; When satisfying between applicator Best Coupling and being two frequencys multiplication, the weak signal wave energy will farthest be amplified in certain section propagation distance.

(4) between the sound wave in when, non-linear variable element taking place interacting, energy shifts to have periodically, thereby causes the energy value periodically-varied of weak signal ripple, has long-term modularity.

Therefore, after non-linear variable element takes place between the sound wave interacting, can realize that the trend that the weak signal wave energy presents pulsation changes, can realize the output energy adjustment of three train waves making the output energy reduce or amplify through the parameter of selecting to be fit to.

The present invention also can have other various embodiments; Under the situation that does not deviate from spirit of the present invention and essence thereof; Those of ordinary skill in the art are when making various corresponding changes and distortion according to the present invention, and these change and be out of shape the protection range that all should belong to the appended claim of the present invention accordingly.

Claims (8)

1. the interact output adjusting method of back acoustic energy of sound wave in the nonlinear dielectric is characterized in that may further comprise the steps:

(a) frequency is ω ₃Pump ripple and frequency be ω ₁Weak signal ripple generation nonlinear interaction, the generation frequency is ω ₂Resonance wave;

(b) according to said pump ripple, weak signal ripple resonant wave frequency ω ₃, ω ₁And ω ₂, the amplitude B at three train wave displacement x places after calculating interacts respectively ₁(x), B ₂(x) and B ₃(x);

(c) according to the pump wave amplitude B that obtains ₃(x), weak signal wave amplitude B ₁(x) and resonance wave amplitude B ₂(x) variation characteristics realize the output energy adjustment to three train waves.

2. the output adjusting method of acoustic energy after sound wave interacts in the nonlinear dielectric according to claim 1 is characterized in that: said resonance wave is and frequency resonance wave or difference frequency resonance wave, i.e. ω ₂=ω ₁+ ω ₃Perhaps ω ₂=ω ₃-ω ₁

3. the output adjusting method of acoustic energy is characterized in that: the amplitude B at said calculating three train wave displacement x places after sound wave interacted in the nonlinear dielectric according to claim 1 ₁(x), B ₂(x) and B ₃(x) method is:

Step (b1) is calculated and is obtained at the displacement x place sound wave vibration velocity v (x) according to pump ripple and weak signal ripple interactional Burgers equation in nonlinear dielectric;

The sound wave vibration velocity v (x) that step (b2) obtains according to step (b1) calculates the wave amplitude equation that obtains after three row sound waves interact;

Three train waves after step (b3) is obtained to interact by the wave amplitude Equation for Calculating are at the amplitude B at displacement x place ₁(x), B ₂(x) and B ₃(x).

4. the output adjusting method of acoustic energy after sound wave interacts in the nonlinear dielectric according to claim 3, it is characterized in that: said Burgers equation is:

$\frac{\∂v}{\∂x}-\frac{\mathrm{\β}}{c_0^2}v\frac{\∂v}{\∂\mathrm{\τ}}=\frac{b}{2c_0^2{\mathrm{\ρ}}_0}\frac{{\∂}^{2}v}{\∂{\mathrm{\τ}}^2}$

Wherein, v is a sound wave vibration velocity, β=1+B/2A, and B/A is the nonlinear parameter of medium, is the ratio of quadratic term coefficient and linear coefficient in the state equation taylor series expansion, it is the basic parameter of nonlinear acoustics, c ₀Be the static velocity of sound, ρ ₀Be the density of nonlinear dielectric, τ=t-x/c ₀Be time delay, x is a measuring distance, and b is the medium coefficient of viscosity,

ζ is for cutting the coefficient of viscosity, and η is the body coefficient of viscosity,

Be temperature conductivity coefficient, c _v, c _pBe electric capacity specific heat and voltage specific heat;

The sine wave that sound source is sent at the x=0 place, sound wave vibration velocity v (x) is expressed as at the displacement x place to calculate acquisition:

$v(x,t)=\underset{n=\mathrm{1,2,3}}{\mathrm{\Σ}}{A}_n\left(x\right)\exp \left(i{\mathrm{\ω}}_n(t-\frac{x}{c_0})\right)+c$

Wherein, A ₁(x), A ₂(x), A ₃(x) be the complex amplitude of three row sound waves, c is a constant.

5. the output adjusting method of acoustic energy after sound wave interacts in the nonlinear dielectric according to claim 1 is characterized in that: the wave amplitude equation after three row sound waves interact:

$\left\{\begin{array}{c}\frac{d{A}_1\left(x\right)}{\mathrm{dx}}+{\mathrm{\δ}}_1{A}_1\left(x\right)=j\frac{A_2^{*}\left(x\right)A_3\left(x\right)e^{\mathrm{j\Δkx}}{\mathrm{\β\ω}}_1}{c_0^2}\\ \frac{d{A}_2\left(x\right)}{\mathrm{dx}}+{\mathrm{\δ}}_2{A}_2\left(x\right)=j\frac{A_1^{*}\left(x\right)A_3\left(x\right)e^{\mathrm{j\Δkx}}{\mathrm{\β\ω}}_2}{c_0^2}\\ \frac{d{A}_3\left(x\right)}{\mathrm{dx}}+{\mathrm{\δ}}_3{A}_3\left(x\right)=j\frac{A_1^{*}\left(x\right)A_2\left(x\right)e^{-\mathrm{j\Δkx}}{\mathrm{\β\ω}}_3}{c_0^2}\end{array}\right.$

Wherein, k ₁=ω ₁/ c ₀, k ₂=ω ₂/ c ₀, k ₃=ω ₃/ c ₀, Δ k=k ₃-k ₁-k ₂Be the phase mismatch factor.If Δ k=0; Then three ripples are phase matched; Be equivalent to three phonon conservations of momentum,

is dissipation factor.

6. the sound wave output adjusting method of back acoustic energy that interacts in the nonlinear dielectric according to claim 2 is characterized in that: when the resonance wave that produces for resonance wave frequently the time, i.e. ω ₂=ω ₁+ ω ₃The time, the complex amplitude of three train waves is expressed as the form of real amplitude and phase place:

Wherein, B ₁(x), B ₂(x), B ₃(x) and

Be frequencies omega ₁, ω ₂, ω ₃The real number amplitude and the phase constant of sound wave;

Dissipation factor δ _i=0 (i=1,2), pump intensity of wave do not change initial condition B because generate resonance wave ₂(0)=0,

The time, trying to achieve the back frequency of sound wave that interacts is ω ₁, ω ₂Amplitude do

$\left\{\begin{array}{c}{B}_1\left(x\right)=B_1\left(0\right)\cos \left(\frac{\mathrm{x\β}{B}_3\left(0\right)\sqrt{{\mathrm{\ω}}_1{\mathrm{\ω}}_2}}{c_0^2}\right)\\ B_2\left(x\right)=\sqrt{\frac{{\mathrm{\ω}}_2}{{\mathrm{\ω}}_1}}{B}_1\left(0\right)\sin \left(\frac{\mathrm{x\β}{B}_3\left(0\right)\sqrt{{\mathrm{\ω}}_1{\mathrm{\ω}}_2}}{c_0^2}\right)\end{array}\right..$

7. the sound wave output adjusting method of back acoustic energy that interacts in the nonlinear dielectric according to claim 2 is characterized in that: when the resonance wave that produces is the difference frequency resonance wave, i.e. and ω ₂=ω ₃-ω ₁The time, the complex amplitude of three train waves is expressed as the form of real amplitude and phase place:

Wherein, B ₁(x), B ₂(x), B ₃(x) and

Be frequencies omega ₁, ω ₂, ω ₃The real number amplitude and the phase constant of sound wave;

Dissipation factor δ _i=0, i=1,2,3, initial condition B ₂(0)=0,

The time, the amplitude of trying to achieve the back three row sound waves that interact is:

$\left\{\begin{array}{c}{B}_1\left(x\right)=\frac{B_3\left(0\right)\sqrt{{\mathrm{\ω}}_1/{\mathrm{\ω}}_3}}{k}\mathrm{dn}(\mathrm{\κ}+\frac{\mathrm{\β}{B}_3\left(0\right)x\sqrt{{\mathrm{\ω}}_1{\mathrm{\ω}}_3}}{{\mathrm{kc}}_0^2})\\ B_2\left(x\right)=\sqrt{{\mathrm{\ω}}_2/{\mathrm{\ω}}_3}{B}_3\left(0\right)\mathrm{cn}(\mathrm{\κ}+\frac{\mathrm{\β}{B}_3\left(0\right)x\sqrt{{\mathrm{\ω}}_1{\mathrm{\ω}}_3}}{{\mathrm{kc}}_0^2})\\ B_3\left(x\right)=B_3\left(0\right)\mathrm{sn}(\mathrm{\κ}+\frac{\mathrm{\β}{B}_3\left(0\right)x\sqrt{{\mathrm{\ω}}_1{\mathrm{\ω}}_3}}{{\mathrm{kc}}_0^2})\end{array}\right.$

(u k) is the Jacobi elliptic function to y=sn, cn (u)=(1-sn ²) ^1/2, dn (u)=(1-k ²Sn ²) ^1/2

Wherein, $\mathrm{\κ}=\underset{0}{\overset{1}{\∫}}\sqrt{(1-y^2)(1-k^2{y}^2)}\mathrm{Dy},k\∈\left(\mathrm{0,1}\right).$

8. the output adjusting method of acoustic energy after sound wave interacts in the nonlinear dielectric according to claim 1 is characterized in that said real root is according to the pump wave amplitude B that obtains ₃(x), weak signal wave amplitude B ₁(x) and resonance wave amplitude B ₂(x) variation characteristics realize that the output energy adjustment to three train waves is one of following:

(1) according to the pump wave amplitude B that obtains ₃(x), weak signal wave amplitude B ₁(x) resonant wave amplitude B ₂(x) variation characteristics realize the output energy adjustment to three train waves, regulate the output energy of weak signal ripple or resonance wave;

(2) according to the back weak signal wave amplitude B that interacts ₁(x) resonant wave amplitude B ₂(x) with pump wave frequency ω ₃The variation characteristics, regulate the output energy of weak signal ripple or resonance wave;

(3) according to the back weak signal wave amplitude B that interacts ₁(x)) resonant wave amplitude B ₂(x) with weak signal wave frequency ω ₁The variation characteristics, regulate the output energy of weak signal ripple or resonance wave;

(4) according to the back weak signal wave amplitude B that interacts ₁(x) resonant wave amplitude B ₂(x) with pump wave amplitude B ₃(0) variation characteristics, the output energy of adjusting weak signal ripple or resonance wave.

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