The present invention relates to a method and a device for processing the inside of a transparent material, more specifically to a method and a device for processing the inside of a transparent material, which is preferably used in performing processing such as modification and working of the inside of the transparent material with respect to laser beam of source of femtosecond laser beam having the pulse width of a 10−13 second order.
Conventionally, there has been known source of femtosecond laser beam, which has the pulse width of a 10−13 second order as a source of laser beam of a sub-picosecond or less.
When femtosecond laser beam being laser beam that is emitted from such femtosecond laser, which is a femtosecond laser having the pulse width of about 100 to 150 femtoseconds (“laser beam that is emitted from femtosecond laser” shall be referred to as “femtosecond laser beam” in this specification), for example, is focused on the inside of a transparent material with respect to the femtosecond laser beam (a transparent material with respect to predetermined femtosecond laser beam shall be appropriately referred to simply as a “transparent material” in this specification) via a lens, there is known a phenomenon that multiphoton absorption occurs only at a focal spot being a beam focus position and processing such as the modification or the working of the focal spot inside the transparent material can be performed.
In recent years, report has been made that refraction index is changed, crystallization is performed, or a micro-void is generated inside a glass material that is transparent with respect to the femtosecond laser beam, with the use of such phenomenon. Furthermore, report has been made regarding the creation of an optical waveguide, a three-dimensional memory, a photonic crystal, or a micro-channel.
Meanwhile, regarding the structure of the above-described micro-void or the like that has been created using the above-described phenomenon, when observation was made for the three-dimensional shape of a region at the focal spot of the femtosecond laser beam, to which the processing such as the modification and the working was performed, the three-dimensional shape had a rotational elliptical shape of a lengthwise rugby ball shape extending in the advance direction of femtosecond laser beam. Then, it is considered that the reason why the three-dimensional shape of the processed region became the rotational elliptical shape of a lengthwise rugby ball shape extending in the advance direction of femtosecond laser beam is because a longitudinal direction of the femtosecond laser beam at the focal spot of the femtosecond laser beam, which is the spatial intensity distribution of a direction parallel to the advance direction of femtosecond laser beam, has the intensity distribution of the lengthwise rotational elliptical shape extending in the advance direction of femtosecond laser beam.
Specifically, according to the calculation result of the inventors of this application, when the femtosecond laser beam is focused using an objective lens having the numerical aperture (NA) of 0.5, for example, the spatial intensity distribution of the direction parallel to the advance direction of femtosecond laser beam at the focal spot should be the intensity distribution of the lengthwise elliptical shape extending in the advance direction of femtosecond laser beam, as shown in
It is to be noted that a calculation method shown in “The beam focus calculation of Gaussian beam when using a lens having focal distance f” shown below was used as the calculation of the spatial intensity distribution shown in FIGS. 1(a) (b).
“The Beam Focus Calculation of Gaussian Beam when Using a Lens Having Focal Distance f”
1. Gaussian Beam
2. Relational Expressions in a Gaussian Optical System
ω2(z)=ω02(1+z2/Z02) ω02=2Z0/k
R=(z2+Z02)/z tan φ=z/Z0
3. Gaussian Beam that is Transferred by a Thin Lens
Herein, wavefront becomes as follows by the lens.
As a result, the following expression is obtained.
R=f if R′→∞
4. Transformed Relational Expression
Based on the above-described relational expressions, the wavefront immediately after the lens is as follows.
To find a new waist dimension ω0 and a parameter Z0, the following relational expressions are used.
ω2=ω02(1+zL2/Z02)
and
R=f=(zL2+Z02)/zL
By solving the expressions, the followings are obtained.
The expression is further rewritten into the following.
If
always holds.
As a result, the final Gaussian beam after the lens having the focal distance f becomes as follows.
Herein, the rear surface of the lens is an origin, and the following holds at the center of beam.
ω2(z)=ω02(1+(zL−z)2/Z02) and tan φ=(zL−z)/Z0
By using these relational expressions, the propagation of the Gaussian beam after the lens can be calculated.
5. Simulation Parameter
Parameter: k=2π, wavelength: λ=1 um, beam waist: ω=3000 um, focal distance of lens: variable
Further, when
hold. Consequently, the origin is changed from the rear surface to the focal spot. This greatly simplifies calculation.
As a result, the processed shape such as a modified shape and a worked shape inside the transparent material became the rotational elliptical shape of a lengthwise rugby ball shape extending in the advance direction of femtosecond laser beam by suffering from the spatial intensity distribution in the direction parallel to the advance direction of femtosecond laser beam at the focal spot inside the transparent material.
However, there existed a problem that it was not desirable that the processed shape such as a modified shape and a worked shape inside the transparent material became the rotational elliptical shape of a lengthwise rugby ball shape extending in the advance direction of femtosecond laser beam when industrial creation and usage of micro-void or micro-channel are taken in consideration. Specifically, as the processed shape such as a modified shape and a worked shape inside the transparent material, the processed shape of a substantially perfect sphere was required in many cases, in other words, a cross-sectional shape in the direction parallel to the advance direction of femtosecond laser beam being a substantially perfect circle was required.
Herein, in order to obtain a substantially perfect sphere as the processed shape such as a modified shape and a worked shape inside the transparent material, in other words, to obtain a shape whose cross-sectional shape in the direction parallel to the advance direction of femtosecond laser beam is a substantially perfect circle, the spatial intensity distribution at the focal spot inside the transparent material, in the direction parallel to the advance direction of femtosecond laser beam should be the shape of a substantially perfect circle.
Generally, as a method of obtaining a processed shape of a substantially perfect sphere as the processed shape such as a modified shape and a worked shape inside the transparent material while obtaining the spatial intensity distribution of a substantially perfect circle in the direction parallel to the advance direction of femtosecond laser beam, in other words, to obtain a shape whose cross-sectional shape in the direction parallel to the advance direction of femtosecond laser beam is a substantially perfect circle, the use of an objective lens having a large numerical aperture is considered.
Certainly, when the femtosecond laser beam is focused on the inside of the transparent material using an objective lens having the numerical aperture of 1 or more and the processing such as the modification and working inside the transparent material is performed, there is known that a shape substantially perfect sphere, in other words, a shape whose cross-sectional shape in the direction parallel to the advance direction of femtosecond laser beam is the shape of substantially perfect circle is obtained as the processed shape such as a modified shape and a worked shape on the focal spot (Hiroaki MISAWA et al., Proc. SPIE Vol. 4088, p 29-32).
However, when the femtosecond laser beam is focused on the inside of the transparent material using the objective lens having the numerical aperture of 1 or more, a working distance (the working distance is the distance between the objective lens and a sample that is the transparent material to be modified or worked) becomes several hundred μm or less (the working distance is 200 to 300 μm when the femtosecond laser beam is focused on the inside of the transparent material using an objective lens having the numerical aperture of 1), so that a problem was pointed out that the processing such as the modification and the working with respect to a region at a deep position inside the transparent material was impossible.
It is to be noted that the numerical aperture of lens by which the working distance of several mm to about 1 cm is secured is about 0.3 to 0.5.
The present invention has been created in view of the above-described problems that prior art has, and it is an object of the present invention to provide a method and a device for processing the inside of a transparent material, which is capable of obtaining a processed shape of substantially perfect sphere as the processed shape such as a modified shape or a worked shape on a beam focus position, in other words, a cross-sectional shape in a direction parallel to the advance direction of femtosecond laser beam is a substantially perfect circle, even if the femtosecond laser beam is focused on the inside of the transparent material using a condenser lens of a relatively small numerical aperture, by which the working distance of several mm or more can secured.
To achieve the above-described object, the present invention is a method in which a plurality of femtosecond laser beams are severally entered into lenses, the lenses focus the plurality of femtosecond laser beams on the inside of a transparent material such that each optical axis has a predetermined angle, the beam focus positions of the plurality of femtosecond laser beams are superposed on the inside of the transparent material, and the inside of the transparent material is processed by the operation of the plurality of femtosecond laser beams that are focused on the superposed beam focus position.
Further, the present invention is a method in which the first femtosecond laser beam is entered into the first lens to focus the first femtosecond laser beam on the inside of the transparent material by the first lens, the second femtosecond laser beam is entered into the second lens to focus the second femtosecond laser beam on the inside of the transparent material by the second lens such that the beam has a predetermined angle with respect to the first femtosecond laser beam that is focused on the inside of the transparent material, the beam focus position of the first femtosecond laser beam and the beam focus position of the second femtosecond laser beam are superposed on the inside of the transparent material, and the inside of the transparent material is processed by the operation of the first femtosecond laser beam and the second femtosecond laser beam which are focused on the superposed beam focus position.
Furthermore, the present invention is a method in which the predetermined angle is approximately 90 degrees.
In addition, the present invention is a device having a plurality of lenses that severally focus a plurality of femtosecond laser beams on the inside of a transparent material, in which the beam focus positions of the plurality of femtosecond laser beams are superposed on the inside of the transparent material with predetermined angles, and the inside of the transparent material is processed by the operation of the plurality of femtosecond laser beams that are focused on the superposed beam focus position.
Further, the present invention is a device having the first lens for focusing the first femtosecond laser beam on the inside of a transparent material and the second lens for focusing the second femtosecond laser beam on the inside of the transparent material, in which the beam focus position of the first femtosecond laser beam and the beam focus position of the second femtosecond laser beam are superposed on the inside of the transparent material with a predetermined angle, and the inside of the transparent material is processed by the operation of the first femtosecond laser beam and the second femtosecond laser beam which are focused on the superposed beam focus position.
Still further, the present invention is a device having moving means for relatively moving the superposed beam focus positions of the first femtosecond laser beam and the second femtosecond laser beam which are focused on the inside of the transparent material, with respect to the transparent material.
Furthermore, the present invention is a device in which the predetermined angle is approximately 90 degrees.
Therefore, according to the above-described present invention, the spatial intensity distribution in the direction parallel to the advance direction of femtosecond laser beam at the beam focus position on the inside of the transparent material becomes a substantially perfect circle. Consequently, as the processed shape such as a modified shape and a worked shape inside the transparent material, a substantially perfect sphere, in other words, the shape whose cross-sectional shape in the direction parallel to the advance direction of femtosecond laser beam is a substantially perfect circle can be obtained.
Specifically, by irradiating two femtosecond laser beams so as to have a predetermined angle such as approximately 90 degrees, for example, to superpose the beam focus positions as shown in the above-described present invention, the spatial intensity distribution of an elliptical shape in a direction parallel to the advance direction of the beam on the beam focus position of each femtosecond laser beam is superposed, the spatial intensity distribution in the direction parallel to the advance direction of femtosecond laser beam at the beam focus position on the inside of the transparent material becomes a substantially perfect circle. Thus, as the processed shape such as a modified shape and a worked shape inside the transparent material, a substantially perfect sphere, in other words, the shape whose cross-sectional shape in the direction parallel to the advance direction of femtosecond laser beam is a substantially perfect circle can be obtained.
It is to be noted that the intensity becomes higher toward the center of the simulation view of
It is to be noted that the intensity becomes higher toward the center of the simulation view of
Explanation of Reference Numerals
In the following, description will be made for one example the embodiment of the method and the device for processing the inside of a transparent material according to the present invention based on the accompanying drawings.
The processing device for the inside of the transparent material shown in
Therefore, the processing device for the inside of the transparent material is capable of arbitrarily setting the beam focus positions of the first femtosecond laser beam L1 and the second femtosecond laser beam L2 inside the sample 100 by control of NC control system 36.
Further, in the processing device for the inside of the transparent material, the optical axis of the first femtosecond laser beam L1, which is emitted from the objective lens 16 for irradiating the first femtosecond laser beam, allowed to enter the inside of the sample 100, and focused on the inside of the sample 100, and the optical axis of the second femtosecond laser beam L2, which is emitted from the objective lens 20 for irradiating the second femtosecond laser beam, allowed to enter the inside of the sample 100, and focused on the inside of the sample 100, are arranged such that the axes cross with the angle of approximately 90 degrees, and the beam focus position of the first femtosecond laser beam L1 inside the sample 100 and the beam focus position of the second femtosecond laser beam L2 inside sample 100 are arranged so as to be superposed on each other.
It is to be noted that the femtosecond laser 10 is mounted on a vibration isolating deck 38 and the other constituent elements described above other than the femtosecond laser 10 and the NC control system 36 are mounted on a vibration isolating deck 40.
In the foregoing construction, the femtosecond laser beam that is emitted by the oscillation of the femtosecond laser beam 10 is branched into two optical paths by the half mirror 12.
The first femtosecond laser beam L1 of one optical path of the branched optical paths is entered from the bottom surface 100a of the sample 100 via the first mirror 14 and the objective lens 16 for irradiating the first femtosecond laser beam, and focused on the inside of the sample 100. Further, the second femtosecond laser beam L2 of the other optical paths of the branched optical paths is entered from the side surface 100b of the sample 100 via the second mirror 18 and the objective lens 20 for irradiating the second femtosecond laser beam, and focused on the inside of the sample 100.
Herein, the irradiation of the first femtosecond laser beam L1 and the second femtosecond laser beam L2 of the two optical paths on the sample 100 is controlled by the femtosecond laser 10 and the NC control system 36 such that they match on the basis of space and time, and the first femtosecond laser beam L1 and the second femtosecond laser beam L2 of the two optical paths are superposed inside the transparent material 100 with the angle of approximately 90 degrees at the beam focus position inside the sample 100.
Then, in the processing device for the inside of the transparent material, in order to monitor that the irradiation of the first femtosecond laser beam L1 and the second femtosecond laser beam L2 of the two optical paths on the sample 100 matches on the basis of space and time, the fluorescence monitor 26 is used to observe fluorescence that is generated from the sample 100 due to the irradiation of femtosecond laser beam.
Specifically, the fluorescence monitor 26 is used to observe fluorescence that is generated from the sample 100 due to the irradiation of femtosecond laser beam, the NC control system 36 performs positional control of the first mirror 14, the objective lens 16 for irradiating the first femtosecond laser beam, the second mirror 18, the objective lens 20 for irradiating the second femtosecond laser beam, and the high accuracy x-y-z-θ stage 24 to bring fluorescence intensity to the maximum, and the femtosecond laser 10 controls the oscillation of femtosecond laser beam.
As described above, when the first femtosecond laser beam L1 and the second femtosecond laser beam L2 cross such that their optical axes have the angle of approximately 90 degrees and the beams are entered into the sample 100 so as to be superposed at the beam focus positions and inside the sample 100, the spatial intensity distribution at the superposed beam focus position has the intensity distribution of a substantially perfect circle.
Specifically, as shown in
Consequently, as the processed shape such as a modified shape and a worked shape inside the sample 100, a substantially perfect sphere, in other words, the shape whose cross-sectional shape in the direction parallel to the advance direction of femtosecond laser beam is a substantially perfect circle can be obtained.
It is to be noted that the roundness of the beam focus position where the first femtosecond laser beam L1 and the second femtosecond laser beam L2 are superposed depends on an angle at which the beam focus position of the first femtosecond laser beam L1 and the beam focus position of the second femtosecond laser beam L22 are superposed, in other words, an angle at which the optical axis of the first femtosecond laser beam L1 and the optical axis of the second femtosecond laser beam L2 cross. As shown in the above-described embodiment, the roundness reaches the maximum when the angle at which the first femtosecond laser beam L1 and the second femtosecond laser beam L2 cross is approximately 90 degrees, and the roundness reduces as the angle becomes more acute or more obtuse than 90 degrees.
Therefore, the angle at which the optical axis of the first femtosecond laser beam L1 and the optical axis of the second femtosecond laser beam L2 cross should be set based on the level of roundness required.
According to the calculation result of the inventors of this application, in the case where the objective lenses having the numerical aperture of ⅓ are used as the objective lens 16 for irradiating the first femtosecond laser beam and the objective lens 20 for irradiating the second femtosecond laser beam, for example, when the angle at which the first femtosecond laser beam L1 and the second femtosecond laser beam L2 cross is 60 degrees, the spatial intensity distribution in the direction parallel to the advance direction of the beam at the beam focus position where the beam focus position of the first femtosecond laser beam L1 and the beam focus position of the second femtosecond laser beam L2 are superposed should have the intensity distribution of a slightly lengthwise circular shape slightly extending in the advance direction of the beam as shown in
On the other hand, according to the calculation result of the inventors of this application, in the case where the objective lenses having the numerical aperture of ⅓ are used as the objective lens 16 for irradiating the first femtosecond laser beam and the objective lens 20 for irradiating the second femtosecond laser beam, for example, when the angle at which the first femtosecond laser beam L1 and the second femtosecond laser beam L2 cross is 90 degrees, the spatial intensity distribution in the direction parallel to the advance direction of the beam at the beam focus position where the beam focus position of the first femtosecond laser beam L1 and the beam focus position of the second femtosecond laser beam L2 are superposed should have the intensity distribution of perfect circle with respect to the advance direction of the beam as shown in
As described, when the angle at which the first femtosecond laser beam L1 and the second femtosecond laser beam L2 cross is 90 degrees, the intensity distribution of a substantially perfect circle is obtained at the center of the beam focus position where the first femtosecond laser beam L1 and the beam focus position of the second femtosecond laser beam L2 are superposed.
It is to be noted that the calculation method shown in “The beam focus calculation of Gaussian beam when using a lens having focal distance f” was used in calculating the spatial intensity distribution shown in FIGS. 4(a) and (b).
Therefore, when the above-described processing device for the transparent material according to the present invention is used, a substantially perfect sphere, in other words, the shape whose cross-sectional shape in the direction parallel to the advance direction of femtosecond laser beam is a substantially perfect circle can be obtained as the processed shape such as a modified shape and a worked shape inside the sample 100.
Then, in situ observation of the above-described processing condition can be performed by the CCD camera for observation 34.
Meanwhile, the femtosecond laser performs the processing such as modification and working inside the sample 100 by multiphoton absorption as described above, and intensity of a threshold value for causing absorption exists in the multiphoton absorption by femtosecond laser.
Herein, the beam profile of the femtosecond laser is generally Gaussian-like. Therefore, when pulse energy is adjusted to make only the tip portion of beam exceed the threshold value, multiphoton absorption can be generated only at the tip portion of beam, which makes it possible to perform much finer processing such as modification and working inside the sample 100 than the beam diameter of the femtosecond laser.
For this reason, since the femtosecond laser beam can be easily focused into about a wavelength (fundamental wave is about 800 nm, double wave is about 400 nm), nano-processing of about 200 nm can be performed. However, when the processing device for the transparent material according to the present invention is used, by adjusting the pulse energy to make only the beam focus position, where the beam focus position of the first femtosecond laser beam L1 and the beam focus position of the second femtosecond laser beam L2 are superposed, exceed the threshold value, a region where multiphoton absorption occur can be limited to a smaller area and nano-processing of 100 nm can be realized.
Specifically, when the processing device for the transparent material according to the present invention is used, the photon density at the beam focus position, where the beam focus position of the first femtosecond laser beam L1 and the beam focus position of the second femtosecond laser beam L2 are superposed, becomes extremely large, and a working region can be rigorously controlled particularly when multiphoton absorption process is used. As a result, finer and more accurate working can be realized three-dimensionally.
It is to be noted that stereolithography and lithography are being attempted in the nano-processing by femtosecond laser, and higher resolution can be obtained when the processing device for the transparent material according to the present invention is used.
Incidentally, the above-described embodiment can be modified as follows shown in (1) to (6).
(1) In the above-described embodiment, description has been made for the cases where the angle at which the first femtosecond laser beam L1 and the second femtosecond laser beam L2 cross was 60 degrees and 90 degrees. However, it goes without saying that the invention is not limited to them, and the angle at which the first femtosecond laser beam L1 and the second femtosecond laser beam L2 cross should be set to an arbitrary value based on the roundness required at the beam focus position where the first femtosecond laser beam L1 and the second femtosecond laser beam L2 are superposed.
(2) In the above-described embodiment, the femtosecond laser beam that was oscillated by a single femtosecond laser 10 was branched into the first femtosecond laser beam L1 and the second femtosecond laser beam L2. However, it goes without saying that the invention is not limited to this, and the first femtosecond laser beam L1 and the second femtosecond laser beam L2 may be generated independently by using two femtosecond lasers.
(3) In the above-described embodiment, the beam focus positions of two femtosecond laser beams were superposed. However, it goes without saying that the invention is not limited to this, and the beam focus positions of a plurality of femtosecond laser beams of three or more may be superposed. In this case, an angle at which the plurality of femtosecond laser beams cross may be either equal or unequal. For example, assuming that angles at which three femtosecond laser beams cross be equal in the case of superposing the beam focus positions of the three femtosecond laser beams, the angles are 60 degrees.
(4) In the above-described embodiment, the fluorescence generated from the sample 100 due to the irradiation of femtosecond laser beam was observed using the fluorescence monitor 26, the NC control system 36 performed positional control of the first mirror 14, the objective lens 16 for irradiating the first femtosecond laser beam, the second mirror 18, the objective lens 20 for irradiating the second femtosecond laser beam, and the high accuracy x-y-z-θ stage 24 to bring fluorescence intensity to the maximum, and the femtosecond laser 10 controlled the oscillation of femtosecond laser beam. However, it goes without saying that the invention is not limited to this. For example, since it is known that odd harmonic of high-order is generated when two femtosecond laser beams are crossed and entered into a medium, the NC control system 36 may perform positional control of the first mirror 14, the objective lens 16 for irradiating the first femtosecond laser beam, the second mirror 18, the objective lens 20 for irradiating the second femtosecond laser beam, and the high accuracy x-y-z-θ stage 24 to bring the high harmonic (the easiest one is the third harmonic) to the maximum, and the femtosecond laser 10 may control the oscillation of femtosecond laser beam.
It is to be noted that the sample 100, which is installed on the high accuracy x-y-z-θ stage 24, must be scanned in order to perform three-dimensional processing of the inside of sample 100. However, when the sample 100 is moved, the beam focus position and the transfer time between the laser beams of the first femtosecond laser beam L1 and the second femtosecond laser beam L2 are misaligned due to the difference of refraction index between air and the sample 100. To correct this, the intensity of fluorescence is constantly monitored using the fluorescence monitor 26 or the intensity of the high harmonic is monitored as described above to apply feedback by computer control to bring the intensity to the maximum, and the NC control system 36 needs to perform positional control of the first mirror 14, the objective lens 16 for irradiating the first femtosecond laser beam, the second mirror 18, the objective lens 20 for irradiating the second femtosecond laser beam, and the high accuracy x-y-z-θ stage 24, and the femtosecond laser 10 needs to control the oscillation of femtosecond laser beam.
Since the above-described method is accurate but complicated, the following method can be also used as an easier method. Specifically, the misalignment of the beam focus position and the transfer time between the first femtosecond laser beam L1 and the second femtosecond laser beam L2 can be easily calculated if the refraction index of the sample 100 is known, the NC control system 36 may perform positional control of the first mirror 14, the objective lens 16 for irradiating the first femtosecond laser beam, the second mirror 18, the objective lens 20 for irradiating the second femtosecond laser beam, and the high accuracy x-y-z-θ stage 24, and the femtosecond laser 10 may control the oscillation of femtosecond laser beam via the computer control based on the moved amount of the high accuracy x-y-z-θ stage 24. Although this method is not as accurate as the above-described method, it is simple and practical.
(5) In the above-described embodiment, description has been made for the case of creating the micro-channel. However, it goes without saying that the invention is not limited to this, and the present invention can be also applied for the creation of other three-dimensional structure such as an optical waveguide and a micro-void.
(6) The above-described embodiment and the above-described modifications shown in (1) to (5) may be appropriately used in combination.
Since the present invention is constructed as described above, it exerts superior effect that a processed shape of substantially perfect sphere, in other words, a cross-sectional shape in a direction parallel to the advance direction of femtosecond laser beam is a substantially perfect circle can be obtained as a processed shape such as a modified shape or a worked shape on a beam focus position, even if the femtosecond laser beam is focused on the inside of a transparent material using a condenser lens of a relatively small numerical aperture, by which the working distance of several mm or more can be secured.
Number | Date | Country | Kind |
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2002-150541 | May 2002 | JP | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/JP03/06040 | 5/15/2003 | WO | 8/30/2005 |