Preferred embodiments of the present invention will now be described with reference to the attached drawings.
Referring to
Here, a portion of the first movable element 104 extending in parallel to the torsion axis 107 is partly removed to define a void 108. The void 108 extends from a side near the torsion axis 107 of the two types of movable elements 102 and 103 to a side remote from the torsion axis, to define a space that totally penetrates the material of the first movable element. In other words, the first movable element has formed with a void configured to avoid blocking of the incident light being incident on the second movable element from a direction intersecting with the torsion axis. The optical deflecting device of the present embodiment further comprises a driving member for driving the second movable element 105 having a reflection surface. The structure of the driving member is shown in
More specifically, as shown in
Because the first movable element 104 has the void 108, when a plane 106 perpendicular to the torsion axis 107 and intersecting with the second movable element 105 is defined there, this plane 106 intersects with only a portion of the first movable element 104 which is on the opposite side of the void 108 across the torsion axis 107.
Referring to
An example of driving principle of the optical deflecting device having the structure described above will be explained. With regard to the torsional oscillation around the torsion axis, the oscillating member of this optical deflecting device can be treated as a two-degrees-of-freedom oscillation system having a primary natural oscillation mode of frequency fo that provides a reference frequency, and a secondary natural oscillation mode of a frequency approximately twofold the reference frequency. The electromagnetic actuator 120 including the electric coil 110 shown in
The driving principle will be explained in greater detail.
A curve 61 shows the component of the reference frequency f0 of the driving signal for driving the electric coil 110. It is sinusoidal oscillation, reciprocally oscillating in the range of maximum amplitude ±φ1 and presented by Equation (1) below, with time t and angular frequency w0=2πf0.
θ1=φ1 sin[W0t] (1)
On the other hand, curve 62 shows the frequency component which is twofold the reference frequency f0. It is sinusoidal oscillation which oscillates in the range of maximum amplitude ±φ2 and is presented by Equation (2) below.
θ2=φ2 sin[2W0t] (2)
Curve 63 shows the displacement angle of the torsional oscillation of the second movable element 105 caused as a result of such drive. The optical deflecting device has a natural oscillation mode of frequency f1 and a secondary natural oscillation mode of frequency f2 with respect to the torsional oscillation about the torsion axis 107, being adjusted to the reference frequency f0 and the twofold frequency around 2f0, respectively. Therefore, resonances are activated by these driving signals θ1 and θ2 within the optical deflecting device. In other words, the displacement angle of the second movable element 105 shown by curve 63 will be oscillation based on superposition of these two sinusoidal oscillations, that is, sawtooth-wave vibration that can be presented by Equation 3 below.
θ=θ1+θ2=φ1 sin[w0t]+φ2 sin[2w0t] (3)
The foregoing description has been made with reference to an example wherein two natural oscillation modes have an approximately twofold-frequency relationship. If an approximately threefold relationship is there, the superposed oscillation would have an approximately chopping wave form. In this case, since an approximately constant angular-speed region appears during the forward and backward strokes of deflection scan, it will be particularly suitable for the application utilizing the constant angular-speed in the reciprocation.
Here, while comparing with an optical deflecting device of conventional example, the range of incidence angle of light for assuring crosswise oblique incidence in the optical deflecting device according to the present embodiment will be explained.
In the optical deflecting device of
As compared therewith, in the optical deflecting device of the present embodiment shown in
The angle of oblique incidence light not to be blocked by the first movable element that surrounds the second movable element will now be explained.
θ1 denotes the mechanical deflection angle of the first movable element 41 (0<θ1<90 degrees);
θ2 denotes the mechanical deflection angle of the second movable element 42 (0<θ2<90 degrees);
θin denotes the incidence angle of light 43 when crosswise oblique incidence is made (0<θin<90 degrees);
m1 denotes the smallest width to the inner end of the first movable element 41 when the torsion axis is taken as a reference; and
m2 denotes the largest width up to the outer end of the second movable element 42 when the torsion axis 44 is taken as a reference (m1>m2).
In this case, unless the incidence angle θin is so set as to satisfy Equation (4) below, the phenomenon that the obliquely incident light 43 is blocked by the material of the first movable element 41 results.
However, in the optical deflecting device of the present embodiment, m1 becomes infinite in Equation (4) since the void such as described above is formed in the first movable element. Thus, Equation (4) applies within the range of 0<θin<90 degrees, and crosswise oblique incidence of light with a flexible angle is assured.
As described above, when an optical deflecting device of the present embodiment is used, crosswise oblique incidence of light can be performed with a large degree of freedom, which has been difficult to accomplish with conventional resonance type optical deflecting devices. As a result of this, use of a half mirror becomes unnecessary. Therefore, the cost becomes comparatively low, and the optical deflecting device can be downsized.
Although the void extends from the side near to the torsion axis 107 to the side remote from the same and it totally penetrates the material, the void may be so formed as to provide a space while leaving some material at the side remote from the torsion axis 107. With such structure (that means ml in Equation (4) is enlarged), the range that satisfies Equation (4) concerning the incidence angle θin of crosswise oblique incidence of the light is widened, such that the degrees-of-freedom thereof can be enlarged to some extent. As a further alternative, an additional void may be provided at a side of the torsion axis 107 remote from the original void, thereby to assuredly avoid that the light reflected by the reflection surface of the second movable element is eclipsed by the first movable element. In that occasion, if the void at the light incidence side comprises a void which totally penetrates the material, then the additional void at the other side must be a void defined by leaving some material at the side remote from the torsion axis 107. If the void at the light incidence side comprises a void defined by leaving some material at the side remote from the torsion axis 107, the additional void at the other side may be either a void which totally penetrates the material or a void having some material left there.
Furthermore, there may be plural first movable elements provided to surround the second movable element having a reflection surface. In that case, all the first movable elements should have a void such as described above. Except the void of the outermost one of the first movable elements surrounding the reflection surface, all the voids should be one totally penetrating the material.
Although in this embodiment the movable elements have a rectangular shape or rectangular-frame shape, these may have a circular shape, a circular-frame shape, a polygonal shape or polygonal-frame shape, for example. Any appropriate shapes may be used in accordance with the requirement. An example is that: the first movable element has a polygonal-frame shape having at least one portion extending in parallel to the torsion axis, while the void is formed by totally or partly removing that portion of the first movable element of polygonal-frame shape which extends in parallel to the torsion axis. In that case, it is preferable that the crosswise oblique incidence light to the second movable element having a reflection surface is incident along a direction perpendicular to the torsion axis or the portion of the first movable element extending in parallel to the torsion axis. This is what is actually done in the above-described embodiment and the embodiment to be described later.
Furthermore, although in the present embodiment the movable element is supported for torsional oscillation by means of plural torsion springs, it may be supported for torsional oscillation by means of a single torsion spring.
Furthermore, although the driving member is comprised of an electromagnetic actuator which applies torque to at least one of the first and second movable elements to drive the oscillating member, it may be comprised of means for driving the movable element electrostatically, or it may be comprised of means for driving the movable element by use of a piezoelectric element.
Next, equations for determining the size of the weight 210 for inertia moment adjustment will be described.
aw denotes the x-direction length of the weight 210 for inertia moment adjustment;
hw denotes the y-direction length of it;
bw denotes the z-direction thickness of it;
a denotes the x-direction length of the void 208 for crosswise light oblique incidence;
h1 denotes the y-direction length of it;
b denotes the z-direction thickness of it;
lw denotes the length from the axis 207 to the weight 210 for inertia moment adjustment;
ρ denotes the density of silicon;
ρw denotes the density of the weight 210;
I1 denotes the moment of inertia of any material, on condition that there is such material at the void 208 for crosswise light oblique incidence; and
Iw denotes the moment of inertia of the weight 210 for inertia moment adjustment.
Here, two equations in Equation (5) below apply.
Here, if the two equations of formula 5 are supposed to be equal, the inertia moments on both sides of this axis 207 of first movable element 204 can be equalized around the torsion axis 207. For example, assuming that hw, bw and ρw are constants, if aw when I1=Iw is satisfied is obtained, the size of the inertia moment adjusting weight 210 can be determined.
As described above, by equalizing the inertia moments at both sides of the first movable element 204 while taking, as a reference, the plane extending through the torsion axis 207 and perpendicularly intersecting with the second movable element 205, stable torsional oscillation is enabled and oscillatory fluctuation is controlled.
Next, equations for determining the size of the void 309 for inertia moment adjustment will be described. In
a denotes the x-direction length of the void 308 for crosswise oblique incidence of light;
h2 denotes the y-direction length of it;
l denotes the length from the axis 307 to the void 308 for crosswise light oblique incidence;
b denotes the z-direction thickness of it (see
ρ denotes the density of silicon;
as denotes the x-direction length of the void 309 for inertia moment adjustment;
hs denotes the y-direction length of it;
I2 denotes the moment of inertia of any material, on condition that there is such material at the void 308 for crosswise light oblique incidence; and
Is denotes the moment of inertia of any material, on condition that there is such material at the void 309 for inertia moment adjustment.
Here, two equations in Equation (6) below apply.
Here, if the two equations in Equation (6) are supposed to be equal, the inertia moments on both sides of this axis 307 of the first movable element 304 can be equalized around torsion axis 307. For example, assuming that hs is a constant, if as when I1=Is is satisfied is obtained, the size of the inertia moment adjusting void 309 can be determined.
In this embodiment as well, as described above, by equalizing the inertia moments at both sides of the first movable element 304 while taking, as a reference, the plane extending through the torsion axis 307 and perpendicularly intersecting with the second movable element 305, stable torsional oscillation is enabled and oscillatory fluctuation is controlled. Furthermore, the air resistance applied to the first movable element 304 reduces because of the decrease of the area of the first movable element 304. Hence, the oscillatory fluctuation is suppressed more.
The image forming apparatus of the present embodiment functions as a light scanner device for scanning the light with the optical deflecting device 1004, in one-dimensional direction parallel to the rotation center 10A of the drum-shaped photosensitive member 1006. That is, the laser beam 1003 emitted from a laser source 1001 passes through a lens 1002 and it is scanned by the optical deflecting device 1004 one dimensionally. On the other hand, the drum-shaped photosensitive member 1006 rotates around center of rotation 10A at a constant speed. Since the surface of the drum-shaped photosensitive member 1006 is uniformly electrostatically charged by the charging device, not shown, based on the scan by the optical deflecting device 1004 and rotation of the drum-shaped photosensitive member 1006, a pattern of light is formed on the surface of the drum photosensitive member 1006. In this way, an electrostatic latent image is formed on the surface of the drum-shaped photosensitive member 1006. Furthermore, a toner image of the pattern corresponding to the electrostatic latent image is formed on the surface of drum-shaped photosensitive member 1006 by a developing device, not illustrated. By transferring it to a paper sheet, not illustrated, and fixing the same, a visible image is produced.
By incorporating the optical deflecting device according to any of the embodiments described above into an image forming apparatus of this embodiment, crosswise oblique incidence of light is assured. More specifically, a light source 1001 is disposed so that light is incident on the reflection surface of the second movable element from the direction of the void-side of the first movable element of the optical deflecting device 1004, such that light 1003 from the light source 1001 is deflected by the optical deflecting device 1004, and at least a portion of this light is incident on the photosensitive member 1006. As a result of this, use of a half mirror becomes unnecessary, and cost reduction and downsizing are enabled.
While the invention has been described with reference to the structures disclosed herein, it is not confined to the details set forth and this application is intended to cover such modifications or changes as may come within the purposes of the improvements or the scope of the following claims.
This application claims priority from Japanese Patent Application No. 2006-237261 filed Sep. 1, 2006, for which is hereby incorporated by reference.
Number | Date | Country | Kind |
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2006-237261 | Sep 2006 | JP | national |