OPTICAL SCANNING DEVICE AND METHOD OF DRIVING MICROMIRROR DEVICE
20230139572 · 2023-05-04
Assignee
Inventors
Cpc classification
B81B3/00
PERFORMING OPERATIONS; TRANSPORTING
G02B26/0858
PHYSICS
G02B26/101
PHYSICS
International classification
Abstract
In a micromirror device, in a case where a resonance frequency around a first axis is denoted by f.sub.1 and a resonance frequency around a second axis is denoted by f.sub.2, a relationship of f.sub.1<f.sub.2 is satisfied, and in a case where a mirror portion is driven around the first axis and the second axis simultaneously, the resonance frequency around the first axis changes by Δf from f.sub.1. A first driving signal and a second driving signal each having a driving frequency f.sub.d satisfying a relationship of f.sub.1−Δf<f.sub.d are provided to a first actuator and a second actuator, respectively, to cause the mirror portion to perform precession.
Claims
1. An optical scanning device comprising: a micromirror device including a mirror portion that has a reflecting surface for reflecting incident light, a first support portion that swingably supports the mirror portion around a first axis located in a plane including the reflecting surface in a case where the mirror portion is stationary, a first actuator that is connected to the mirror portion via the first support portion and allows the mirror portion to swing around the first axis, a second support portion that swingably supports the mirror portion around a second axis orthogonal to the first axis in the plane, and a second actuator that is connected to the first actuator via the second support portion and allows the mirror portion to swing around the second axis; and a processor that causes the mirror portion to perform precession by providing a first driving signal and a second driving signal each having the same driving frequency to the first actuator and the second actuator, respectively, wherein, in the micromirror device, in a case where a resonance frequency around the first axis is denoted by f.sub.1 and a resonance frequency around the second axis is denoted by f.sub.2, a relationship of f.sub.1<f.sub.2 is satisfied, in a case where the mirror portion is driven around the first axis and the second axis simultaneously, the resonance frequency around the first axis changes by Δf from f.sub.1, and in a case where the driving frequency is denoted by f.sub.d, a relationship of f.sub.1−Δf<f.sub.d is satisfied.
2. The optical scanning device according to claim 1, wherein a relationship of f.sub.1−Δf<f.sub.d<f.sub.2 is satisfied.
3. The optical scanning device according to claim 1, wherein a relationship of Δf>0 is satisfied.
4. The optical scanning device according to claim 1, wherein a relationship of f.sub.1−Δf<f.sub.2<1.008(f.sub.1−Δf) is satisfied.
5. The optical scanning device according to claim 1, wherein the first actuator and the second actuator are piezoelectric actuators each including a piezoelectric element.
6. The optical scanning device according to claim 1, wherein each of the first support portion and the second support portion is a torsion bar.
7. The optical scanning device according to claim 1, further comprising: a light source that emits a light beam perpendicularly to the reflecting surface in a case where the mirror portion is stationary.
8. A method of driving a micromirror device including a mirror portion that has a reflecting surface for reflecting incident light, a first support portion that swingably supports the mirror portion around a first axis located in a plane including the reflecting surface in a case where the mirror portion is stationary, a first actuator that is connected to the mirror portion via the first support portion and allows the mirror portion to swing around the first axis, a second support portion that swingably supports the mirror portion around a second axis orthogonal to the first axis in the plane, and a second actuator that is connected to the first actuator via the second support portion and allows the mirror portion to swing around the second axis, wherein, in the micromirror device, in a case where a resonance frequency around the first axis is denoted by f.sub.1 and a resonance frequency around the second axis is denoted by f.sub.2, a relationship of f.sub.1<f.sub.2 is satisfied, in a case where the mirror portion is driven around the first axis and the second axis simultaneously, the resonance frequency around the first axis changes by Δf from f.sub.1, and a first driving signal and a second driving signal each having a driving frequency f.sub.d satisfying a relationship of f.sub.1−Δf<f.sub.d are provided to the first actuator and the second actuator, respectively, to cause the mirror portion to perform precession.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0022] Exemplary embodiments according to the technique of the present disclosure will be described in detail based on the following figures, wherein:
[0023]
[0024]
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[0041]
DETAILED DESCRIPTION
[0042] An example of an embodiment relating to the technology of the present disclosure will be described with reference to the accompanying drawings.
[0043]
[0044] The MMD 2 is a piezoelectric biaxial drive type micromirror device capable of allowing a mirror portion 20 (see
[0045] The light source 3 is a laser device that emits, for example, laser light as the light beam L. It is preferable that the light source 3 emits the light beam L perpendicularly to a reflecting surface 20A (see
[0046] The driving controller 4 outputs a driving signal to the light source 3 and the MMD 2 based on optical scanning information. The light source 3 generates the light beam L based on the input driving signal and emits the light beam L to the MMD 2. The MMD 2 allows the mirror portion 20 to swing around the first axis a.sub.1 and the second axis a.sub.2 based on the input driving signal.
[0047] As will be described in detail below, the driving controller 4 causes the mirror portion 20 to perform precession. By the precession of the mirror portion 20, the surface to be scanned 5 is scanned with the light beam L reflected by the mirror portion 20 such that a circle is drawn on the surface to be scanned 5. The circular light beam L is used, for example, in the LiDAR device.
[0048]
[0049] The ROM 41 is a non-volatile storage device and stores a program for the CPU 40 to execute processing and data such as the optical scanning information described above. The RAM 42 is a non-volatile storage device that temporarily holds a program and data.
[0050] The light source driver 43 is an electric circuit that outputs a driving signal to the light source 3 under the control of the CPU 40. In the light source driver 43, the driving signal is a driving voltage for controlling the irradiation timing and the irradiation intensity of the light source 3.
[0051] The MMD driver 44 is an electric circuit that outputs a driving signal to the MMD 2 under the control of the CPU 40. In the MMD driver 44, the driving signal is a driving voltage for controlling the timing, cycle, and deflection angle for allowing the mirror portion 20 of the MMD 2 to swing.
[0052] The CPU 40 controls the light source driver 43 and the MMD driver 44 based on the optical scanning information. The optical scanning information is information for indicating how the surface to be scanned 5 is scanned with the light beam L. In the present embodiment, the optical scanning information is information for indicating that the surface to be scanned 5 is scanned with the light beam L such that a circle is drawn on the surface to be scanned 5. For example, in a case where the optical scanning device 10 is incorporated in the LiDAR device, the optical scanning information includes a time at which the light beam L for distance measurement is emitted, an irradiation range, and the like.
[0053] Next, an example of the MMD 2 will be described with reference to
[0054] As shown in
[0055] The mirror portion 20 has a reflecting surface 20A for reflecting incident light. The reflecting surface 20A is formed of a metal thin film such as gold (Au) and aluminum (Al) provided on one surface of the mirror portion 20. The reflecting surface 20A is, for example, circular.
[0056] The first actuator 21 is disposed to surround the mirror portion 20. The support frame 23 is disposed to surround the mirror portion 20 and the first actuator 21. The second actuator 22 is disposed to surround the mirror portion 20, the first actuator 21, and the support frame 23. The support frame 23 is not an essential component of the technology of the present disclosure.
[0057] The first support portion 24 connects the mirror portion 20 and the first actuator 21 on the first axis a.sub.1, and swingably supports the mirror portion 20 around the first axis a.sub.1. The first axis a.sub.1 is located in a plane including the reflecting surface 20A in a case where the mirror portion 20 is stationary. For example, the first support portion 24 is a torsion bar stretched along the first axis a.sub.1. In addition, the first support portion 24 is connected to the support frame 23 on the first axis a.sub.1.
[0058] The second support portion 25 connects the first actuator 21 and the second actuator 22 on the second axis a.sub.2, and swingably supports the mirror portion 20 and the first actuator 21 around the second axis a.sub.z. The second axis a.sub.z is orthogonal to the first axis a.sub.1 in the plane including the reflecting surface 20A in a case where the mirror portion 20 is stationary. The second support portion 25 is connected to the support frame 23 and the fixed portion 26 on the second axis a.sub.2.
[0059] The fixed portion 26 is connected to the second actuator 22 by the second support portion 25. The fixed portion 26 has a rectangular outer shape and surrounds the second actuator 22. Lengths of the fixed portion 26 in the X direction and the Y direction are, for example, about 1 mm to 10 mm, respectively. A thickness of the fixed portion 26 in the Z direction is, for example, about 5 μm to 0.2 mm.
[0060] The first actuator 21 and the second actuator 22 are piezoelectric actuators each comprising a piezoelectric element. The first actuator 21 applies rotational torque around the first axis a.sub.1 to the mirror portion 20. The second actuator 22 applies rotational torque around the second axis a.sub.2 to the mirror portion 20 and the first actuator 21. Thereby, the mirror portion 20 swings around the first axis a.sub.1 and the second axis a.sub.2.
[0061] The first actuator 21 is an annular thin plate member that surrounds the mirror portion 20 in an XY plane. The first actuator 21 is composed of a pair of a first movable portion 21A and a second movable portion 21B. Each of the first movable portion 21A and the second movable portion 21B is semi-annular. The first movable portion 21A and the second movable portion 21B have a shape that is line-symmetrical with respect to the first axis a.sub.1, and are connected on the first axis a.sub.1.
[0062] The support frame 23 is an annular thin plate member that surrounds the mirror portion 20 and the first actuator 21 in the XY plane.
[0063] The second actuator 22 is an annular thin plate member that surrounds the mirror portion 20, the first actuator 21, and the support frame 23 in the XY plane. The second actuator 22 is composed of a pair of a first movable portion 22A and a second movable portion 22B. Each of the first movable portion 22A and the second movable portion 22B is semi-annular. The first movable portion 22A and the second movable portion 22B have a shape that is line-symmetrical with respect to the second axis a.sub.2, and are connected on the second axis a.sub.2.
[0064] In the first actuator 21, the first movable portion 21A and the second movable portion 21B are provided with a piezoelectric element 27A and a piezoelectric element 27B, respectively. In addition, in the second actuator 22, the first movable portion 22A and the second movable portion 22B are provided with a piezoelectric element 28A and a piezoelectric element 28B, respectively.
[0065] In
[0066] As shown in
[0067] The mirror portion 20, the first actuator 21, the second actuator 22, the support frame 23, the first support portion 24, and the second support portion 25 are formed of the second silicon active layer 33 remaining by removing the first silicon active layer 31 and the silicon oxide layer 32 from the SOI substrate 30 by an etching treatment. The second silicon active layer 33 functions as an elastic portion having elasticity. The fixed portion 26 is formed of three layers of the first silicon active layer 31, the silicon oxide layer 32, and the second silicon active layer 33.
[0068] The piezoelectric elements 27A, 27B, 28A, and 28B have a laminated structure in which a lower electrode 51, a piezoelectric film 52, and an upper electrode 53 are sequentially laminated on the second silicon active layer 33. An insulating film is provided on the upper electrode 53, but is not shown.
[0069] The upper electrode 53 and the lower electrode 51 are formed of, for example, gold (Au) or platinum (Pt). The piezoelectric film 52 is formed of, for example, lead zirconate titanate (PZT), which is a piezoelectric material. The upper electrode 53 and the lower electrode 51 are electrically connected to the driving controller 4 described above via the wiring line and the electrode pad.
[0070] A driving voltage is applied to the upper electrode 53 from the driving controller 4. The lower electrode 51 is connected to the driving controller 4 via the wiring line and the electrode pad, and a reference potential (for example, a ground potential) is applied thereto.
[0071] In a case where a positive or negative voltage is applied to the piezoelectric film 52 in the polarization direction, deformation (for example, expansion and contraction) proportional to the applied voltage occurs. That is, the piezoelectric film 52 exerts a so-called inverse piezoelectric effect. The piezoelectric film 52 exerts an inverse piezoelectric effect by applying a driving voltage from the driving controller 4 to the upper electrode 53, and displaces the first actuator 21 and the second actuator 22.
[0072]
[0073]
[0074] An angle at which a normal line N of the reflecting surface 20A of the mirror portion 20 is inclined in the YZ plane is called a first deflection angle θ.sub.1. In a case where the normal line N of the reflecting surface 20A is inclined in the +Y direction, the first deflection angle θ.sub.1 takes a positive value, and in a case where it is inclined in the −Y direction, the first deflection angle θ.sub.1 takes a negative value.
[0075] The first deflection angle θ.sub.1 is controlled by the driving signal (hereinafter, referred to as a first driving signal) provided to the first actuator 21 by the driving controller 4. The first driving signal is, for example, a sinusoidal AC voltage. The first driving signal includes a driving voltage waveform V.sub.1A (t) applied to the first movable portion 21A and a driving voltage waveform V.sub.1B (t) applied to the second movable portion 21B. The driving voltage waveform V.sub.1A (t) and the driving voltage waveform V.sub.1B (t) are in an anti-phase with each other (that is, the phase difference is 180°).
[0076]
[0077] An angle at which the normal line N of the reflecting surface 20A of the mirror portion 20 is inclined in the XZ plane is called a second deflection angle θ.sub.2. In a case where the normal line N of the reflecting surface 20A is inclined in the +X direction, the second deflection angle θ.sub.2 takes a positive value, and in a case where it is inclined in the −X direction, the second deflection angle θ.sub.2 takes a negative value.
[0078] The second deflection angle θ.sub.2 is controlled by the driving signal (hereinafter, referred to as a second driving signal) provided to the second actuator 22 by the driving controller 4. The second driving signal is, for example, a sinusoidal AC voltage. The second driving signal includes a driving voltage waveform V.sub.2A (t) applied to the first movable portion 22A and a driving voltage waveform V.sub.2B (t) applied to the second movable portion 22B. The driving voltage waveform V.sub.2A (t) and the driving voltage waveform V.sub.2B (t) are in an anti-phase with each other (that is, the phase difference is 180°).
[0079]
[0080] The driving voltage waveforms V.sub.1A (t) and V.sub.1B (t) are represented as follows, respectively.
V.sub.1A(t)=V.sub.off1+V.sub.1 sin(2πf.sub.dt)
V.sub.1B(t)=V.sub.off1+V.sub.1 sin(2πf.sub.dt+α)
[0081] Here, V.sub.1 is the amplitude voltage. V.sub.off1 is the bias voltage. f.sub.d is the driving frequency. t is time. α is the phase difference between the driving voltage waveforms V.sub.1A (t) and V.sub.1B (t). In the present embodiment, for example, α=180°.
[0082] By applying the driving voltage waveforms V.sub.1A (t) and V.sub.1B (t) to the first movable portion 21A and the second movable portion 21B, the mirror portion 20 swings around the first axis a.sub.1 (see
[0083] The driving voltage waveforms V.sub.2A (t) and V.sub.2B (t) are represented as follows, respectively.
V.sub.2A(t)=V.sub.off2+V.sub.2 sin(2πf.sub.dt+φ)
V.sub.2B(t)=V.sub.off2+V.sub.2 sin(2πf.sub.dt+β+φ)
[0084] Here, V.sub.2 is the amplitude voltage. V.sub.off2 is the bias voltage. f.sub.d is the driving frequency. t is time. β is the phase difference between the driving voltage waveforms V.sub.2A (t) and V.sub.2B (t). In the present embodiment, for example, 0=180°. In addition, φ is the phase difference between the driving voltage waveforms V.sub.1A (t) and V.sub.1B (t) and the driving voltage waveforms V.sub.2A (t) and V.sub.2B (t). In the present embodiment, φ=90° is set in order to cause the mirror portion 20 to perform precession.
[0085] The bias voltages V.sub.off1 and V.sub.off2 are DC voltages for determining a state where the mirror portion 20 is stationary. In a state where the mirror portion 20 is stationary, a plane including the reflecting surface 20A may not be parallel to an upper surface of the fixed portion 26 and may be inclined with respect to the upper surface of the fixed portion 26.
[0086] By applying the driving voltage waveforms V.sub.2A (t) and V.sub.2B (t) to the first movable portion 22A and the second movable portion 22B, the mirror portion 20 swings around the second axis a.sub.2 (see
[0087] As described above, the first driving signal and the second driving signal have the same driving frequency f.sub.d and a phase difference of 90°. In order to cause the mirror portion 20 to perform precession, as shown in
[0088] Hereinafter, the maximum deflection angle θ.sub.m1 of the first deflection angle θ.sub.1 is referred to as a first maximum deflection angle θ.sub.m1. The maximum deflection angle θ.sub.m2 of the second deflection angle θ.sub.2 is referred to as a second maximum deflection angle θ.sub.m2. Further, in a case where the first maximum deflection angle θ.sub.m1 and the second maximum deflection angle θ.sub.m2 are not distinguished, it is simply referred to as a maximum deflection angle θ.sub.m.
[0089] In order to cause the mirror portion 20 to perform precession with high accuracy, it is necessary to appropriately set the driving frequency f.sub.d.
[0090]
[0091] In
[0092] A plurality of resonance modes exist for the swing of the mirror portion 20 in addition to the phase (in-phase or anti-phase) with the movable portion described above. For example, the first resonance frequency f.sub.1 and the second resonance frequency f.sub.2 are in an anti-phase and are resonance frequencies in the lowest order (that is, the lowest frequency) resonance mode.
[0093] The closer the driving frequency f.sub.d is to the first resonance frequency f.sub.1, the larger the first deflection angle θ.sub.1 is. In addition, the closer the driving frequency f.sub.d is to the second resonance frequency f.sub.2, the larger the second deflection angle θ.sub.2 is. Therefore, in general, by matching the first resonance frequency f.sub.1 with the second resonance frequency f.sub.2 and matching the driving frequency f.sub.d with the first resonance frequency f.sub.1 and the second resonance frequency f.sub.2, the responsiveness of the deflection angle to the driving signal is improved. The first resonance frequency f.sub.1 and the second resonance frequency f.sub.2 can be set by adjusting an inertial moment, a spring constant, and the like of the components of the MMD 2 in terms of design.
[0094] However, in a case where the first resonance frequency f.sub.1 is matched with the second resonance frequency f.sub.2, it is considered that there is an adverse effect that the crosstalk increases. The crosstalk is caused by the fact that propagation of vibration generated in one of the first actuator 21 and the second actuator 22 to the other excites resonance vibration. In a case where the first resonance frequency f.sub.1 is matched with the second resonance frequency f.sub.2, an influence of the crosstalk is greatly exerted, particularly in a case where the maximum deflection angle θ.sub.m of the mirror portion 20 is small, that is, in a case where the driving signal is small.
[0095] In the MMD 2 of the present embodiment, the first actuator 21 allows the mirror portion 20 to swing around the first axis a.sub.1 and the second actuator 22 allows the first actuator 21 to swing around the second axis a.sub.2 together with the mirror portion 20. In this way, in a case where the mirror portion 20 is allowed to swing around the second axis a.sub.2, the first actuator 21 also swings around the second axis a.sub.2, so that a vibration component around the second axis a.sub.2 propagates to the first axis a.sub.1, which affects a change in voltage characteristics of the first actuator 21 and the first resonance frequency f.sub.1. The present applicant confirmed that the first resonance frequency f.sub.1 shifts in a case where the mirror portion 20 swings around the first axis a.sub.1 and around the second axis a.sub.2 simultaneously. Hereinafter, this shift amount will be denoted by Δf.
[0096] In order to avoid the crosstalk, it is preferable that the first resonance frequency f.sub.1 is not matched with the second resonance frequency f.sub.2. In addition, a magnitude relationship between the first resonance frequency f.sub.1 and the second resonance frequency f.sub.2 needs to be determined in consideration of the shift amount Δf. This is because the shift amount Δf changes depending on a magnitude of the maximum deflection angle θ.sub.m of the mirror portion 20.
[0097]
[0098] As shown in
[0099] For example, in a case where a relationship of f.sub.1>f.sub.2 is satisfied, f.sub.1-Δf=f.sub.2 and the crosstalk occurs because of the change in the shift amount Δf with the change of the maximum deflection angle θ.sub.m. On the other hand, in a case where a relationship of f.sub.1<f.sub.2 is satisfied, a relationship of f.sub.1-Δf<f.sub.2 is always be satisfied instead of f.sub.1-Δf=f.sub.2, even though the shift amount Δf changes with the change of the maximum deflection angle θ.sub.m.
[0100] From the above, the present applicant found that the crosstalk is reduced by setting the driving frequency f.sub.d so as to satisfy a relationship of f.sub.1<f.sub.2 and a relationship of f.sub.1-Δf<f.sub.d.
[0101] For example, in a case where the optical scanning device 10 is applied to the LiDAR device, a radius of a circle scanned on the surface to be scanned 5 by the light beam L (hereinafter, referred to as a scanning radius) is controlled. This scanning radius corresponds to the maximum deflection angle θ.sub.m of the mirror portion 20. The first maximum deflection angle θ.sub.m1 depends on the amplitude voltage V.sub.1 of the first driving signal. The second maximum deflection angle θ.sub.m2 depends on the amplitude voltage V.sub.2 of the second driving signal. Therefore, in order to control the scanning radius by the driving controller 4, it is preferable that a relationship between the first maximum deflection angle θ.sub.m1 and the amplitude voltage V.sub.1 and a relationship between the second maximum deflection angle θ.sub.m2 and the amplitude voltage V.sub.2 are each represented by a single function.
[0102]
[0103] In a case where the above-described crosstalk occurs, the relationship between the first maximum deflection angle θ.sub.m1 and the amplitude voltage V.sub.1 is disturbed in a region where the maximum deflection angle θ.sub.m of the mirror portion 20 is small, and the driving control becomes difficult. The present applicant confirmed that, in a case where f.sub.1-Δf<f.sub.d is satisfied, the relationship between the first maximum deflection angle θ.sub.m1 and the amplitude voltage V.sub.1 is represented by a single function even in a region where the maximum deflection angle θ.sub.m of the mirror portion 20 is small, and that the drive control of the MMD 2 becomes easy.
[0104] The measurement results of the maximum deflection angle θ.sub.m of the mirror portion 20 and the amplitude voltages V.sub.1 and V.sub.2 are shown below. The present applicant measured the maximum deflection angle θ.sub.m for each of the following four cases: a case where the driving frequency f.sub.d is set in a range of f.sub.d<f.sub.1-Δf; a case where the driving frequency f.sub.d is set in a range of f.sub.1-Δf<f.sub.d<f.sub.1; a case where the driving frequency f.sub.d is set in a range of f.sub.1<f.sub.d<f.sub.2; and a case where the driving frequency f.sub.d is set in a range of f.sub.2<f.sub.d.
[0105] Specifically, the present applicant measured a relationship between the amplitude voltages V.sub.1 and V.sub.2 with respect to the radius of the circle (scanning radius) in a case where the surface to be scanned 5 was scanned with the light beam L such that a positive circle is drawn on the surface to be scanned 5 by causing the mirror portion 20 to perform precession. The surface to be scanned 5 was provided with gradations at intervals of 1 mm, and the maximum deflection angle θ.sub.m was measured based on a measured value of a shape and size of the circle using the gradations. The MMD 2 used in this measurement has f.sub.1=1228 Hz and f.sub.2=1237 Hz, and satisfies the relationship of f.sub.1<f.sub.2.
[0106]
[0107]
[0108]
[0109]
[0110] In any case of
[0111] As described above, in a case where f.sub.1-Δf<f.sub.d is satisfied, the relationship between the first maximum deflection angle θ.sub.m1 and the amplitude voltage V.sub.1 and the relationship between the second maximum deflection angle θ.sub.m2 and the amplitude voltage V.sub.2 are represented by a single function. Since the driving controller 4 can determine the amplitude voltages V.sub.1 and V.sub.2 based on a single function, the driving control of the MMD 2 can be easily performed.
[0112] As described above, in a case where f.sub.1-Δf<f.sub.d is satisfied, the driving control of the MMD 2 can be easily performed. However, in a case where the driving frequency f.sub.d satisfies a relationship of f.sub.2<f.sub.d, the responsiveness of the first maximum deflection angle θ.sub.m1 to the amplitude voltage V.sub.1 is reduced. As shown in
[0113] As described above, the crosstalk is reduced by setting the driving frequency f.sub.d so as to satisfy the relationship of f.sub.1<f.sub.2 and the relationship of f.sub.1-Δf<f.sub.d<f.sub.2. However, in a case where the first resonance frequency f.sub.1 and the second resonance frequency f.sub.2 are significantly different from each other, it is difficult to allow the mirror portion 20 to swing around the first axis a.sub.1 and around the second axis a.sub.2 simultaneously with a single driving frequency f.sub.d.
[0114] Therefore, the present applicant examined an upper limit of the second resonance frequency f.sub.2 with respect to the first resonance frequency f.sub.1. Specifically, the present applicant examined an upper limit of the second resonance frequency f.sub.2 for allowing the first maximum deflection angle θ.sub.m1 and the second maximum deflection angle θ.sub.m2 to reach 10° within a range of f.sub.1<f.sub.d<f.sub.2.
[0115]
[0116] In
[0117] In a case where 1.002(f.sub.1-Δf)=0.9939f.sub.2 and this is modified, a relationship of f.sub.2=1.008(f.sub.1−Δf). Therefore, the second resonance frequency f.sub.2 that satisfies the relationship of f.sub.2=1.008(f.sub.1−Δf) is the upper limit of the second resonance frequency f.sub.2 with respect to the first resonance frequency f.sub.1. From this, it can be said that it is preferable that the first resonance frequency f.sub.1 and the second resonance frequency f.sub.2 satisfy a relationship of f.sub.1−Δf<f.sub.2<1.008(f.sub.1-Δf).
[0118] The configuration of the MMD 2 shown in the above embodiment can be changed as appropriate. For example, in the above embodiment, although the first actuator 21 and the second actuator 22 have an annular shape, one or both of the first actuator 21 and the second actuator 22 may have a meander structure. In addition, it is possible to use a support member having a configuration other than a torsion bar as the first support portion 24 and the second support portion 25.
[0119] The hardware configuration of the driving controller 4 can be variously modified. A processing unit of the driving controller 4 may be configured of one processor, or may be configured of a combination of two or more processors of the same type or different types (for example, a combination of a plurality of field programmable gate arrays (FPGAs) and/or a combination of a CPU and an FPGA).
[0120] All documents, patent applications, and technical standards mentioned in this specification are incorporated herein by reference to the same extent as in a case where each document, each patent application, and each technical standard are specifically and individually described by being incorporated by reference.