CN108365514A - The choosing method of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length - Google Patents
The choosing method of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length Download PDFInfo
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- CN108365514A CN108365514A CN201810092930.2A CN201810092930A CN108365514A CN 108365514 A CN108365514 A CN 108365514A CN 201810092930 A CN201810092930 A CN 201810092930A CN 108365514 A CN108365514 A CN 108365514A
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01S—DEVICES USING THE PROCESS OF LIGHT AMPLIFICATION BY STIMULATED EMISSION OF RADIATION [LASER] TO AMPLIFY OR GENERATE LIGHT; DEVICES USING STIMULATED EMISSION OF ELECTROMAGNETIC RADIATION IN WAVE RANGES OTHER THAN OPTICAL
- H01S3/00—Lasers, i.e. devices using stimulated emission of electromagnetic radiation in the infrared, visible or ultraviolet wave range
- H01S3/10—Controlling the intensity, frequency, phase, polarisation or direction of the emitted radiation, e.g. switching, gating, modulating or demodulating
- H01S3/106—Controlling the intensity, frequency, phase, polarisation or direction of the emitted radiation, e.g. switching, gating, modulating or demodulating by controlling devices placed within the cavity
- H01S3/108—Controlling the intensity, frequency, phase, polarisation or direction of the emitted radiation, e.g. switching, gating, modulating or demodulating by controlling devices placed within the cavity using non-linear optical devices, e.g. exhibiting Brillouin or Raman scattering
- H01S3/109—Frequency multiplication, e.g. harmonic generation
Abstract
The invention discloses a kind of choosing methods of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length, the present invention is when the optimum length to inner cavity frequency-doubling laser frequency-doubling crystal is chosen, it is contemplated that influence of the length of frequency-doubling crystal to inner cavity frequency-doubling laser single-frequency steady running characteristic；The present invention is when the optimum length to continuous wave single frequency inner cavity frequency-doubling laser frequency-doubling crystal is chosen, without experimentally by constantly replacing single-frequency steady running of the frequency-doubling crystal of different length come passive realization inner cavity frequency-doubling laser；The present invention has general applicability, is applicable in the inner cavity frequency-doubling laser that high power, mid power and low-power inner cavity frequency-doubling laser and intracavitary contain the modelings element such as etalon；The experimental provision and process of the present invention is simple, is not necessarily to other systems, of low cost.
Description
Technical field
The present invention relates to laser technology fields, more particularly to a kind of continuous wave single frequency inner cavity frequency-doubling laser frequency-doubling crystal
The choosing method of optimum length.
Background technology
Continuous wave single frequency inner cavity frequency-doubling laser is stablized because of its output power height, good beam quality, line width, long term power
Property it is high, low noise advantages and met the tendency of extensively in quantum information, quantum communication, the multiple fields such as Physics of Cold Atoms.Continuous
In the research and production of wave single frequency inner cavity frequency-doubling laser, intracavity frequency doubling crystal length is a crucial amount.Because of inner cavity times
The length of frequency-doubling crystal not only influences the output power of frequency doubled light in frequency laser, while decide the list of inner cavity frequency-doubling laser
Frequency service performance.
Currently, the most common method of length for choosing frequency-doubling crystal in inner cavity frequency-doubling laser is according to Boyd-Kleiman
Focusing Theorem is best when twice for the Rayleigh range derived by Gaussian beam focusing theorem of frequency-doubling crystal length；Separately
A kind of method that choosing SHG Optimal Length is Smith inner cavity frequency-doubling theoretical models, in the theory, the certain resonance of structure
Non-linear coupling parameter chooses the optimum length of frequency-doubling crystal to square directly proportional relationship of nonlinear crystal length in chamber；
The method that another kind chooses SHG Optimal Length is to derive the power density of second_harmonic generation from rate equation
With the length of frequency-doubling crystal and the dependence of pumping rate.Do not consider that the length of frequency-doubling crystal is internal in three of the above method
The influence of chamber frequency double laser single-frequency operation characteristic.
In addition, also a kind of method by selection SHG Optimal Length is to be based on space-dependent rate-
equation model.In this method, frequency-doubling crystal plays the medium and birefringent filter of second_harmonic generation simultaneously
Effect, the polarization in conjunction with gain crystal select and then laser are forced to realize single-frequency operation.However, this kind of method, which lacks, considers chamber
Influence of the interior linear impairments to inner cavity frequency-doubling laser single-frequency operation characteristic is not suitable for the Gao Gong that linear impairments be can not ignore
The selection of SHG Optimal Length in rate inner cavity frequency-doubling laser.
Invention content
In order to solve selection of the prior art for SHG Optimal Length in continuous wave single frequency inner cavity frequency-doubling laser
There are the problem of, the present invention propose it is a kind of with general applicability, it is simple and reliable, be easy in research and production to continuous
The method that wave single frequency inner cavity frequency-doubling laser SHG Optimal Length is chosen.
The present invention provides a kind of choosing method of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length, packets
Include following steps：One inner cavity frequency-doubling laser is provided, and when the inner cavity frequency-doubling laser carries out single-frequency operation, obtains operating
Required minimum nonlinear lossε 1；Frequency-doubling crystal is set in the inner cavity frequency-doubling laser, and is obtained brilliant in setting frequency multiplication
The maximum nonlinear loss that inner cavity frequency-doubling laser after body generates when being operatedε 2；The frequency multiplication for being correspondingly arranged different length is brilliant
After body, the maximum nonlinear loss that is generated when inner cavity frequency-doubling laser is operatedε 2,ε 2=ε 1When, corresponding frequency-doubling crystal
Length is optimum length.
Wherein, the minimum nonlinear loss needed for operating is being obtainedε 1The step of in,ε 1It is to utilize formula（1）It is calculated：
Wherein, Δλ g For gain bandwidth,l cFor the length of frequency-doubling crystal in inner cavity frequency-doubling laser, cons indicates frequency-doubling crystal
Non-linear reception bandwidth constant corresponding with the product of the length of frequency-doubling crystal；α 0For normalized linear impairments, it is expressed as：, whereinLFor the linear impairments of intracavitary.
Wherein, the non-linear damage of maximum generated when obtaining the inner cavity frequency-doubling laser after frequency-doubling crystal is arranged and being operated
Consumptionε 2The step of in,ε 2It is to utilize formula（2）It is calculated；
Wherein, S0For saturation power density, η is the non-linear transfer factor, is expressed as：
；
And when the temperature of frequency-doubling crystal is in optimum phase matching temperature,Item is constant 1,d eff For frequency multiplication crystalline substance
Effective polarization coefficient of body,nFor the refractive index of frequency-doubling crystal,εPermittivity of vacuum,cFor the light velocity,ω 1At gain crystal
Waist radius,ω 2For the waist spot radius at frequency-doubling crystal,λ f For fundamental wavelength；,KTo pump the factor,P in For
Pump power.
Wherein, the inner cavity frequency-doubling laser is the continuous wave list of the single end face pump of four mirror ring cavity structure of " 8 " font
532 nm lasers of frequency inner cavity frequency-doubling include pumping source, gain crystal, the magneto-optic by being placed in permanent magnet of sequential setting
Medium and half wave plate group at isolator, frequency-doubling crystal, spectroscope, power meter, condenser lens, F-P interferometers, detector and
Oscillograph.
Wherein, the structure of inner cavity frequency-doubling laser is the ring resonator of Unidirectional, and the ring resonator is by being arranged
In gain crystal, be placed in the magnet-optical medium in permanent magnet and half wave plate group at isolator and frequency-doubling crystal around the first chamber
Mirror, the second hysteroscope, third hysteroscope and the 4th hysteroscope are formed.
Wherein, in four hysteroscopes of ring resonator, the first hysteroscope is concave and convex lenses, and concave surface plated film is convex to pump light anti-reflection
Face plated film is high to fundamental frequency light to pump light anti-reflection anti-；Second hysteroscope is planoconvex lens, and convex surface is coated with fundamental frequency light high-reflecting film；Third hysteroscope
For plano-concave mirror, concave surface is coated with fundamental frequency light high-reflecting film；4th hysteroscope is plano-concave mirror, and concave surface plated film is high to fundamental frequency light anti-and to frequency doubled light
High saturating, plane is coated with frequency doubled light high transmittance film.
Wherein, the light pass surface of gain crystal cuts into the angle of wedge of specified angle, and gain crystal is by the thin cladding of indium and by true
Empty indium weldering is placed in red copper temperature control furnace, is controlled into trip temperature using thermoelectric cooler (TEC), and heat sink is to be connected with cooling circulating water
Red copper block.
Wherein, gain crystal is the YVO of a axis cutting4+Nd:YVO4Composite crystal, including first end face and second end face, the
End face is undoped YVO4Crystal, second end face are the Nd that doping concentration is 0.8%:YVO4Crystal；Second end face setting one
1.5 ° of the angle of wedge is as polarization beam apparatus.
The choosing method of the continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length of the present invention is suitable for unidirectional
The annular cavity frequency double laser of operating.The present invention has the following advantages compared with prior art：
1. the present invention is when the optimum length to inner cavity frequency-doubling laser frequency-doubling crystal is chosen, it is contemplated that frequency-doubling crystal
Influence of the length to inner cavity frequency-doubling laser single-frequency steady running characteristic.
2. the present invention is when the optimum length to continuous wave single frequency inner cavity frequency-doubling laser frequency-doubling crystal is chosen, nothing
Need to experimentally it be stablized come the single-frequency of passive realization inner cavity frequency-doubling laser by constantly replacing the frequency-doubling crystal of different length
Operating.
3. the present invention has general applicability, in high power, mid power and low-power inner cavity frequency-doubling laser and intracavitary
Containing applicable in the interior inner cavity frequency-doubling laser for having the modelings element such as etalon.
4. the experimental provision and process of the present invention are simple, other systems are not necessarily to, it is of low cost.
Description of the drawings
Fig. 1 is a kind of selection side of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length provided by the invention
The flow diagram of method.
Fig. 2 is a kind of selection side of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length provided by the invention
The structural schematic diagram of inner cavity frequency-doubling laser used in method.
Fig. 3 is a kind of selection side of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length provided by the invention
The parameter that inner cavity frequency-doubling laser is measured when intubating length is the frequency-doubling crystal of 18 mm, 19 mm, 20 mm, 21 mm in method
Curve synoptic diagram.
Fig. 4 is in a kind of choosing method of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length provided by the invention
The parameter that inner cavity frequency-doubling laser is measured when intubating length is the frequency-doubling crystal of 21.85 mm, 22 mm, 23 mm and 24 mm
Curve synoptic diagram.
Specific implementation mode
Further more detailed description is made to technical scheme of the present invention With reference to embodiment.Obviously, it is retouched
The embodiment stated is only a part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention,
The every other embodiment that those of ordinary skill in the art are obtained under the premise of not making creative work, should all belong to
The scope of protection of the invention.
Refering to fig. 1, Fig. 1 is a kind of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length provided by the invention
Choosing method flow diagram.The step of this method includes：
S110：An inner cavity frequency-doubling laser is provided, and when the inner cavity frequency-doubling laser carries out single-frequency operation, obtains operating institute
The minimum nonlinear loss neededε 1。
S120：Frequency-doubling crystal is set in the inner cavity frequency-doubling laser, and obtains the inner cavity after frequency-doubling crystal is set
The maximum nonlinear loss generated when frequency double laser is operatedε 2。
S130：After being correspondingly arranged the frequency-doubling crystal of different length, the maximum that is generated when inner cavity frequency-doubling laser is operated
Nonlinear lossε 2,ε 2=ε 1When, the length of corresponding frequency-doubling crystal is optimum length.
The present invention inventive principle be：In the timing of gain bandwidth one of inner cavity frequency-doubling laser, frequency-doubling crystal it is non-linear
Reception bandwidth changes with the variation of frequency-doubling crystal length, and then causes non-linear reception bandwidth and increasing in inner cavity frequency-doubling laser
The variation of beneficial bandwidth ratio.When the ratio is reduced to certain value, mode hopping or multimode oscillation will occur in inner cavity frequency-doubling laser
Phenomenon.The base that the length of present invention frequency-doubling crystal in considering inner cavity frequency-doubling laser influences laser single-frequency operation characteristic
On plinth, by theoretical calculation go out inner cavity frequency-doubling laser using different length frequency-doubling crystal when realize single-frequency operation needed for
Nonlinear loss and the nonlinear loss actually generated, the length of corresponding frequency-doubling crystal is optimum length when the two is equal.
Inner cavity frequency-doubling laser has the high feature of intracavity power density, it is easy to accomplish the frequency doubled light of high conversion efficiency is defeated
Go out.By optimizing the intracavitary linear impairments in inner cavity frequency-doubling laser and being inserted into frequency-doubling crystal（5）The nonlinear loss of introducing can
Phenomena such as effectively inhibiting laser multimode oscillation and mode hopping, conducive to realizing that the continuous wave single frequency inner cavity frequency-doubling operated steadily in the long term is sharp
Light device.For
Single frequency inner cavity frequency-doubling laser in steady running, the linear impairments in resonant cavityα 0Nonlinear lossε 1Satisfaction side
Journey：
Δλ g For gain bandwidth,l cFor the length of frequency-doubling crystal in inner cavity frequency-doubling laser, cons indicates the non-thread of frequency-doubling crystal
Property reception bandwidth constant corresponding with the product of the length of frequency-doubling crystal；α 0For normalized linear impairments, it is expressed as：, whereinLFor the linear impairments of intracavitary.,KTo pump the factor,P in For pump power.
The maximum nonlinear loss generated when obtaining the inner cavity frequency-doubling laser after frequency-doubling crystal is arranged and being operatedε 2
The step of in,ε 2It is to utilize formula（2）It is calculated；
Wherein, S0For saturation power density, η is the non-linear transfer factor, is expressed as：
；
And when the temperature of frequency-doubling crystal is in optimum phase matching temperature,Item is constant 1,d eff For frequency multiplication crystalline substance
Effective polarization coefficient of body,nFor the refractive index of frequency-doubling crystal,εPermittivity of vacuum,cFor the light velocity,ω 1At gain crystal
Waist radius,ω 2For the waist spot radius at frequency-doubling crystal,λ f For fundamental wavelength.
In conjunction with equation（2）It is found that after the other parameters of inner cavity frequency-doubling laser determine, inner cavity frequency-doubling laser is by frequency multiplication
The maximum nonlinear loss that crystal introducesε 2For the length of frequency-doubling crystall c Function.
Meet equation（1）Minimum nonlinear loss needed for middle single-frequency operation condition isε 1With frequency-doubling crystal in resonant cavity
The maximum nonlinear loss that can be generated isε 2The length of corresponding frequency-doubling crystal is optimum length when equal.
Embodiment one：Fig. 2 show what the present invention chose four mirror ring resonator intracavity frequency doubling crystal optimum lengths
Device, including pumping source 1, gain crystal 2, by hysteroscope（12,13,14,15) ring resonator of composition, by being placed in permanent magnet
The isolator of interior magnet-optical medium 3 and the composition of half-wave plate 4, frequency-doubling crystal 5, spectroscope 6, power meter 7, condenser lens 8, F-P are dry
Interferometer 9, detector 10 and oscillograph 11.The coupled center for focusing on gain crystal 2 of pump light, laser use four mirror rings
Shape cavity resonator structure, by hysteroscope（12、13、14、15）Composition.Hysteroscope 12 is concave and convex lenses, and concave surface plated film is to pump light anti-reflection, convex surface
Plated film is high to fundamental frequency light to pump light anti-reflection anti-；Hysteroscope 13 is planoconvex lens, and convex surface is coated with fundamental frequency light high-reflecting film；Hysteroscope 14 is plano-concave
Mirror, concave surface are coated with fundamental frequency light high-reflecting film；Hysteroscope 15 is plano-concave mirror, and concave surface plated film is high to fundamental frequency light anti-and high thoroughly to frequency doubled light, puts down
Face is coated with frequency doubled light high transmittance film.The light pass surface of gain crystal 2 cuts into certain angle of wedge, plays the role of polarization beam apparatus, just
In the stabilization for maintaining laser polarization state.Gain crystal 2 is placed in red copper temperature control furnace by the thin cladding of indium and by the weldering of vacuum indium, is adopted
It is controlled into trip temperature with thermoelectric cooler (TEC), heat sink is the red copper block for being connected with cooling circulating water.Intracavitary be inserted by permanent magnet
The optical-unidirectional device of TGG crystal 3 and half-wave plate 4 composition of package makes endovenous laser unidirectional operation, eliminate effects of spatial into
And ensure the single-frequency operation of laser.Basic mode of the frequency-doubling crystal 5 between hysteroscope 14 and hysteroscope 15 place with a tight waist, it is higher to ensure
Non-linear transfer efficiency.Frequency-doubling crystal 5 is placed in red copper temperature control furnace, and temperature-controlled precision is 0.1 DEG C, and phase matched mode is I
Class noncritical phase matching.Plane mirror 6 is that 45 ° of incidences are coated with the high anti-and frequency doubled light high transmittance film of fundamental frequency light, to fundamental frequency light and frequency multiplication
Light plays light splitting.Power meter 7 is used for measuring the output power of second harmonic.Condenser lens 8 is coated with 1064 nm antireflective films,
Focal length is the mm of f=200, so that basic frequency beam is entered F-P interferometers 9 and obtains higher matching, and then obtains higher transmission
Peak, and detector 10 and oscillograph 11 are combined, and then monitor the single-frequency characteristic of inner cavity frequency-doubling laser.
The laser being carried out is the continuous wave single frequency inner cavity frequency-doubling of the single end face pump of four mirror ring cavity structure of " 8 " word
532 nm lasers.Gain crystal 2 used in the laser is the YVO of a axis cutting4+Nd:YVO4Composite crystal, size 3mm
×3mm×（3+20）Mm, front end face 3mm are undoped YVO4Crystal, behind 20 mm be Nd that doping concentration is 0.8%:YVO4
Crystal.It is to slow down the end face fuel factor of gain crystal, there are one 1.5 ° for the rear end face of gain crystal 2 using composite crystal
The angle of wedge as polarization beam apparatus, in the polarization mode competition of different directions, it is ensured that π polarised lights are prior to σ polarised lights
In intracavitary starting of oscillation, to obtain stable linearly polarized light output.The c-axis of gain crystal 2 is horizontal positioned, can make the heat of gain crystal
Astigmatism and hysteroscope placed off-axis it is introduced astigmatism realization mutually compensate for, to widen the steady area of laser.Gain crystal is satisfied
And parameterS 0It is 8.30827 × 106 W/m2, pump the factorKFor 0.07 W-1, pump powerP in For 75 W, output coupling mirror exists
The transmissivity of fundamental frequency light wave bandtIt is 0, the gain line width Δ of gain crystalλ g =225 GHz, in all solid state continuous single-frequency of high power
The intracavitary linear impairments of chamber frequency double laserLIt is 3%, the above parameter is substituted into formula（2）It can be calculated normalized linear
Lossα 0Value.Frequency-doubling crystal（5）Three lithium borates of I class noncritical phase matching（LBO）, cross-sectional area be 3mm ×
3mm, for the non-linear transfer coefficient of the frequency-doubling crystal LBO in optimum phase matching temperatureηIt is embodied as：
Wherein, the waist radius at gain crystalω 1It is 400 μm, the waist spot radius at frequency-doubling crystalω 2It is 60 μm, frequency multiplication
Effective polarization coefficient of crystald eff For 1.16 pm/V, permittivity of vacuumεIt is 8.85 × 10-12 F/m, the light velocitycIt is 3 × 108
M/s, frequency multiplication crystal refractive indexnIt is 1.56, fundamental wavelengthλ f For 1064 nm.Position matching way is I class noncritical phase matching
Frequency-doubling crystal LBO, the product of non-linear reception bandwidth and nonlinear crystal length：Δλ NL *l c =cons=2263 GHz*mm。
Under conditions of linear impairments are certain in inner cavity frequency-doubling laser, the above parameter is substituted into equation (1) and (2)
In, it can respectively obtain the inner cavity frequency-doubling laser as shown in Figure 3 reality when being inserted into the frequency-doubling crystal of different length by calculating
Minimum nonlinear loss (1) needed for existing single-frequency operation introduces most with the frequency-doubling crystal of the corresponding length in resonant cavity
The size of big nonlinear loss (2), in figure, curve (3) is the corresponding laser single-frequency operation of frequency-doubling crystal of different length
Critical curve, vertical straight line (4) are normalized linear impairments, and horizontal linear (5) is frequency-doubling crystal of the resonant cavity in the length
Under conditions of corresponding normalized nonlinear loss.In this embodiment, it calculates separately and compares inner cavity frequency-doubling laser
The available maximum nonlinear loss (2) of the corresponding intracavitary of frequency-doubling crystal and the realization single-frequency operation (single-frequency of middle different length
Operate the intersection point of critical curve (3) and linear impairments vertical straight line (4)) needed for minimum nonlinear loss (1) size.Its
In, the length of the corresponding frequency-doubling crystal in 11,12,13 and 14 in 6,7,8 and 9 and Fig. 4 in Fig. 3 is respectively 18mm, 19
Mm, 20mm, 21mm, 21.85mm, 22mm, 23mm and 24mm.The available non-linear damage of maximum of intracavitary it can be seen from Fig. 3
The minimum nonlinear loss (1) needed for (2) and realization single-frequency operation is consumed all with the length of frequency-doubling crystal in inner cavity frequency-doubling laser
It spends the increase of (18 mm -24mm) and increases.When the length of frequency-doubling crystal increases to 21 mm by 18mm, intracavitary is available
Maximum nonlinear loss (2) is more than the minimum nonlinear loss (1) realized needed for single-frequency operation；When the length of frequency-doubling crystal is
When 21.85mm, the available maximum nonlinear loss (2) of intracavitary and the minimum nonlinear loss (1) needed for realization single-frequency operation
Equal ((1) is overlapped with (2)), the length of corresponding frequency-doubling crystal is optimum length at this time.As frequency-doubling crystal length is into one
Step increases, and increases to 24mm by 22mm, the available maximum nonlinear loss (2) of inner cavity frequency-doubling laser and laser are real
Gap is increasing between minimum nonlinear loss (1) needed for existing single-frequency operation, is susceptible to mode hopping in resonant cavity at this time
And the phenomenon that multimode oscillation, inner cavity frequency-doubling laser are difficult to realize single-frequency steady running.
Therefore, in this embodiment, the optimum length of frequency-doubling crystal is 21.85 mm in four mirror ring resonators.
The present invention has the following advantages compared with prior art：The present invention to inner cavity frequency-doubling laser frequency-doubling crystal most
When good length is chosen, it is contemplated that influence of the length of frequency-doubling crystal to inner cavity frequency-doubling laser single-frequency steady running characteristic；
The present invention is when the optimum length to continuous wave single frequency inner cavity frequency-doubling laser frequency-doubling crystal is chosen, without experimentally leading to
Cross the single-frequency steady running for the next passive realization inner cavity frequency-doubling laser of frequency-doubling crystal for constantly replacing different length；The present invention has
There is general applicability, contains the modelings such as etalon member in high power, mid power and low-power inner cavity frequency-doubling laser and intracavitary
It is applicable in the inner cavity frequency-doubling laser of part；The experimental provision and process of the present invention is simple, is not necessarily to other systems, of low cost.
It these are only embodiments of the present invention, be not intended to limit the scope of the invention, it is every to utilize the present invention
Equivalent structure or equivalent flow shift made by specification and accompanying drawing content is applied directly or indirectly in other relevant technologies
Field is included within the scope of the present invention.
Claims (8)
1. a kind of choosing method of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length, which is characterized in that including
Following steps：
One inner cavity frequency-doubling laser is provided, and when the inner cavity frequency-doubling laser carries out single-frequency operation, is obtained needed for operating
Minimum nonlinear lossε 1；
Frequency-doubling crystal is set in the inner cavity frequency-doubling laser, and obtains the inner cavity frequency-doubling laser after frequency-doubling crystal is set
The maximum nonlinear loss generated when being operatedε 2；
After being correspondingly arranged the frequency-doubling crystal of different length, the maximum nonlinear loss that is generated when inner cavity frequency-doubling laser is operatedε 2,ε 2=ε 1When, the length of corresponding frequency-doubling crystal is optimum length.
2. the choosing method of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length according to claim 1,
It is characterized in that, obtaining the minimum nonlinear loss needed for operatingε 1The step of in,ε 1It is to utilize formula（1）It is calculated：
Wherein, Δλ g For gain bandwidth,l cFor the length of frequency-doubling crystal in inner cavity frequency-doubling laser, cons indicates frequency-doubling crystal
Non-linear reception bandwidth constant corresponding with the product of the length of frequency-doubling crystal；α 0For normalized linear impairments, it is expressed as：, whereinLFor the linear impairments of intracavitary.
3. the choosing method of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length according to claim 2,
It is characterized in that, the maximum nonlinear loss generated when obtaining the inner cavity frequency-doubling laser after frequency-doubling crystal is arranged and being operatedε 2The step of in,ε 2It is to utilize formula（2）It is calculated；
Wherein, S0For saturation power density, η is the non-linear transfer factor, is expressed as：
；
And when the temperature of frequency-doubling crystal is in optimum phase matching temperature,Item is constant 1,d eff For frequency multiplication crystalline substance
Effective polarization coefficient of body,nFor the refractive index of frequency-doubling crystal,εPermittivity of vacuum,cFor the light velocity,ω 1At gain crystal
Waist radius,ω 2For the waist spot radius at frequency-doubling crystal,λ f For fundamental wavelength；,KTo pump the factor,P in For
Pump power.
4. the choosing method of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length described in claim 1, special
Sign is that the inner cavity frequency-doubling laser is the continuous wave single frequency inner cavity of the single end face pump of four mirror ring cavity structure of " 8 " font
532 nm lasers of frequency multiplication include the pumping source of sequential setting（1）, gain crystal（2）, magneto-optic by being placed in permanent magnet
Medium（3）And half-wave plate（4）Isolator, the frequency-doubling crystal of composition（5）, spectroscope（6）, power meter（7）, condenser lens（8）, F-
P interferometers（9）, detector（10）And oscillograph（11）.
5. the choosing method of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length according to claim 4,
It is characterized in that, the structure of the inner cavity frequency-doubling laser is the ring resonator of Unidirectional, the ring resonator is by setting
It is placed in gain crystal（2）, the magnet-optical medium that is placed in permanent magnet（3）And half-wave plate（4）The isolator and frequency-doubling crystal of composition（5）
First hysteroscope of surrounding（12）, the second hysteroscope（13）, third hysteroscope（14）With the 4th hysteroscope（15）It is formed.
6. the choosing method of continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length according to claim 5,
It is characterized in that, in four hysteroscopes of the ring resonator, the first hysteroscope（12）For concave and convex lenses, concave surface plated film subtracts pump light
Instead, convex surface plated film is high to fundamental frequency light to pump light anti-reflection anti-；Second hysteroscope（13）For planoconvex lens, it is high anti-that convex surface is coated with fundamental frequency light
Film；Third hysteroscope（14）For plano-concave mirror, concave surface is coated with fundamental frequency light high-reflecting film；4th hysteroscope（15）For plano-concave mirror, concave surface plated film pair
Fundamental frequency light is high anti-and high thoroughly to frequency doubled light, and plane is coated with frequency doubled light high transmittance film.
7. the choosing method of the continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length described in claim 4, special
Sign is, gain crystal（2）Light pass surface cut into the angle of wedge of specified angle, gain crystal（2）By the thin cladding of indium and by true
Empty indium weldering is placed in red copper temperature control furnace, is controlled into trip temperature using thermoelectric cooler (TEC), and heat sink is to be connected with cooling circulating water
Red copper block.
8. the choosing method of the continuous wave single frequency inner cavity frequency-doubling laser SHG Optimal Length described in claim 4, special
Sign is, gain crystal（2）For the YVO of a axis cutting4+Nd:YVO4Composite crystal, including first end face and second end face, first
End face is undoped YVO4Crystal, second end face are the Nd that doping concentration is 0.8%:YVO4Crystal；Second end face setting one
1.5 ° of the angle of wedge is as polarization beam apparatus.
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111174708A (en) * | 2020-01-13 | 2020-05-19 | 山西大学 | Method and device for measuring cavity length of micro-optical resonant cavity |
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| CN111313216A (en) * | 2019-11-19 | 2020-06-19 | 山西大学 | Method for suppressing intensity noise of high-power continuous wave single-frequency laser |
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| CN111174708B (en) * | 2020-01-13 | 2021-03-30 | 山西大学 | Method and device for measuring cavity length of micro-optical resonant cavity |
| CN112019165A (en) * | 2020-08-27 | 2020-12-01 | 中电科仪器仪表有限公司 | Terahertz broadband frequency doubling circuit based on pump stray high suppression and frequency doubler |
| CN114447758A (en) * | 2022-01-11 | 2022-05-06 | 厦门大学 | All-solid-state praseodymium-doped annular cavity single-frequency laser device |
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