Reticle unit and optical apparatus
09777990 · 2017-10-03
Assignee
Inventors
Cpc classification
G02B5/1814
PHYSICS
G02B27/102
PHYSICS
F41G1/38
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F41G1/345
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
International classification
F41G1/34
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F41G1/38
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Abstract
A reticle unit equipped with an optical apparatus such as a riflescope includes: red and green light sources radiating red light and green light; a disc-like shaped reticle substrate that has a diffraction grating formed at substantially the center of a surface having substantially circular shape; and red and green mirror members converge light radiated from the red and green light sources, make incidence on the reticle substrate from corresponding side surface portions of the reticle substrate to illuminate the diffraction grating so as to emit first order diffracted light reflected and diffracted by the diffraction grating along a normal direction of the diffraction grating.
Claims
1. A reticle unit comprising: two or more monochromatic light sources radiating light having different wavelengths from each other; a reticle substrate that is formed by a material transmitting light and has a diffraction grating formed on a surface; and converging portions that are provided respectively with respect to said two or more monochromatic light sources on outsides of side surface portions of the reticle substrate and for propagating inside of the reticle substrate light radiated from the two or more monochromatic light sources and converging onto the diffraction grating of the reticle substrate; wherein light radiated from the light sources and propagated inside of the reticle substrate via the converging portions, is diffracted by the diffraction grating, and first order diffracted light of the principal light of the light radiated from each of the light sources is emitted with an angle of diffraction of 0 degree along a common line extending in a normal direction of the diffraction grating.
2. The reticle unit according to claim 1, wherein the two or more light sources are provided at different positions from each other on or close to respective side surfaces of the reticle substrate.
3. The reticle unit according to claim 1, wherein there are two monochromatic light sources that radiate light having wavelengths that differ from each other, and the two light sources are disposed facing each other with the diffraction grating in between.
4. The reticle unit according to claim 1, wherein the distances from the respective converging portions to the diffraction grating are different from each other depending on the wavelengths of the respective light sources.
5. The reticle unit according to claim 1, wherein the two or more light sources are provided at different positions from each other on respective side surfaces of the reticle substrate; the light radiated from the light sources being incident on the reticle substrate through the respective converging portions, undergoing one total internal reflection by a surface opposite to the surface where the diffraction grating is formed on the reticle substrate and illuminating the diffraction grating, and the following conditional expression is satisfied: λr/nr <Δp <λg/(ng.Math.sin(tan-1(Yg/2d))) where λr denotes the longest wavelength among wavelengths of light radiated from the two or more light sources, λg denotes the shortest wavelength among wavelengths of light radiated from the two or more light sources, d denotes a thickness of the reticle substrate, nr denotes a refractive index of a medium of the reticle substrate at the longest wavelength, ng denotes a refractive index of a medium of the reticle substrate at the shortest wavelength, Yg denotes a distance between the diffraction grating and a side surface of the reticle substrate where the light source radiating light having the shortest wavelength is provided, and Δp denotes a pitch of the diffraction grating.
6. The reticle unit according to claim 1, wherein each of the converging portions is made separately from the reticle substrate, disposed with being cemented to a side surface portion of the reticle substrate, has a reflecting surface having an aspherical shape, and reflects and converges light from a respective one of the two light sources by the reflecting surface.
7. The reticle unit according to claim 6, wherein each of the converging portions has substantially a same refractive index of the reticle substrate, and makes total internal reflection of the light incident from the side surface portion of the reticle substrate by a surface opposite to the surface where the diffraction grating is formed on the reticle substrate so as to illuminate the diffraction grating.
8. The reticle unit according to claim 1, wherein the light incident from a side surface portion of the reticle substrate is totally reflected by a surface opposite to the surface where the diffraction grating is formed on the reticle substrate so as to illuminate the diffraction grating.
9. An optical apparatus comprising: an objective lens; the reticle unit according to claim 1, in which a surface of the reticle substrate where the diffraction grating is formed is disposed at a position of an image formed by the objective lens or a position substantially conjugate with the image; and an eyepiece that observes with superposing the image formed by the objective lens and the light emitted from the diffraction grating of the reticle unit.
10. A riflescope comprising: an objective lens; the reticle unit according to claim 1 in which a surface of the reticle substrate where the diffraction grating is formed is disposed at a position of an image formed by the objective lens or a position substantially conjugate with the image; and an eyepiece that observes with superposing the image formed by the objective lens and the light emitted from the diffraction grating of the reticle unit.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1)
(2)
(3)
(4)
(5)
(6)
(7)
EMBODIMENT FOR CARRYING OUT THE INVENTION
(8) A preferred embodiment of the present invention will be explained below with reference to accompanying drawings. At first, with using
(9) Incidentally, the riflescope 50 is an example of an optical apparatus equipped with the reticle unit according to the present embodiment. Moreover, the reticle unit may be applicable to a monocular, a pair of binoculars, a surveying instrument, a spotting scope, and the like. The reticle may be disposed with substantially coinciding with the primary image IM1. Such a reticle unit 30 is explained below in detail.
(10) A construction of the reticle unit 30 according to the present embodiment is explained with reference to
(11) As shown in
(12) The reticle substrate 33 is made from a transparent material such as glass or resin that transmits at least visible light, and the substantially circular shape surface thereof is disposed perpendicularly to the optical axis, in other words, in the x-y plane. On the object side surface of the reticle substrate 33 (hereinafter called an object side surface 33a), a reticle composed of four reticle
(13) The pattern of the reticle
(14) As shown in
(15) In such a reticle unit 30, light rays radiated from the red light source 31r and the green light source 31g are reflected and converged by concave portions of the red light mirror member 32r and the green light mirror member 32g, respectively, incident on the reticle substrate 33 from side surface portions 33r and 33g of the reticle substrate 33, made total internal reflection on the image side surface of the reticle substrate 33 (hereinafter called an image side surface 33b), and incident on the diffraction grating 35 formed on the object side surface 33a. First order diffracted light diffracted from the diffraction grating 35 is emitted along the optical axis, in other words, the z-axis.
(16) In consideration of the positions of the red light source 31r and the green light source 31g, the concave portions of the red light mirror member 32r and the green light mirror member 32g are disposed such that light rays radiated from the red light source 31r and the green light source 31g are reflected to make angles for generating total internal reflection with respect to the image side surface 33b of the reticle substrate 33. The shapes of aspherical surfaces of the concave portions of the red light mirror member 32r and the green light mirror member 32g, the thickness of the reticle substrate 33, distances in y-axis direction between the diffraction grating 35 and the concave portions, and the pitch of the grooves of the diffraction grating 35 are set such that light rays reflected by the concave portions of the red light mirror member 32r and the green light mirror member 32g, and made total internal reflection by the image side surface 33b of the reticle substrate 33 are converged on the diffraction grating 35, and first order diffracted light rays diffracted by the diffraction grating 35 are emitted along the optical axis, which is z-axis.
(17) Since wavelengths with respect to the red light and the green light differ according to the medium of the reticle substrate 33, and diffracted angle differs with respect to the incident angle on the diffraction grating 35, setting of the red light source 31r differs from that of the green light source 31g. In other words, the shapes of aspherical surfaces of the concave portions of the red light mirror member 32r and the green light mirror member 32g are set with respect to respective light rays.
(18) With constructing the reticle unit 30 according to the present embodiment in this manner, since light rays radiated from the red light source 31r or the green light source 31g are diffracted by the diffraction grating 35, and the first order diffracted light ray forming a point source is emitted from the diffraction grating 35 along the optical axis, an observer can observe a bright spot at the center of the field of view of the eyepiece 40, so that the target object can be easily collimated. Since the light is the first order diffracted light, sufficient light amount for observation is emitted from the diffraction grating 35. With switching the red light source 31r and the green light source 31g, the red light point source and the green light point source can be switched in accordance with the background and surrounding condition of the target object. With constructing a reticle unit 30 such that light rays from the red light source 31r and the green light source 31g are made total internal reflection by the image side surface 33b of the reticle substrate 33, and incident on the diffraction grating 35, even if the thickness of the reticle substrate 33 is thin, the dimension in y-axis direction from the diffraction grating 35 to the side surface portions 33r and 33g of the reticle substrate 33, in other words, the field of view of a riflescope 50 can be secured. Moreover, since the red light source 31r, the green light source 31g, the red light mirror member 32r and the green light mirror member 32g can be disposed to the end portions of the reticle substrate 33, the reticle unit 30 can be compact.
(19) When the reticle unit 30 is installed in the above-described riflescope 50, the red light source 31r, the green light source 31g, the red light mirror member 32r, and the green light mirror member 32g are preferably disposed at the upper end portion and the lower end portion of the reticle substrate 33, (in other words, x-axis becomes horizontal and y-axis becomes vertical in
(20) Then, in this reticle unit 30, a condition that first order diffracted light rays radiated from the red light source 31r and the green light source 31g having different two wavelengths with each other are emitted along the optical axis, which is in the normal direction of the diffraction grating 35, is explained.
(21) At first, an angle of incidence of light ray incident on the diffraction grating 35 (an angle of incident light ray with respect to the normal of the diffraction grating 35) is denoted by θ1, an angle of diffraction of m-th order diffracted light ray (an angle of diffraction light ray with respect to the normal of the diffraction grating 35) is denoted by θ2, the pitch of the diffraction grating 35 (period of diffraction grating) is denoted by Δp, a refractive index at a given wavelength of a medium of the reticle substrate is denoted by n, and the wavelength of the incident light is denoted by λ, so that the following expression (1) is applied:
sin θ1+sin θ2=mλ/(n.Math.Δp) (1)
where m denotes an order of diffraction, and is an integer.
(22) As described above, in the reticle unit 30, since the first order diffracted light (m=1) is emitted along the optical axis (θ2=0) that is the normal direction of the diffraction grating 35, expression (1) is shown by the following expression (2):
Δp.Math.sin θ1=λ/n (2).
(23) As is apparent from expression (2), light having longer wavelength (red light in the present embodiment) among two colors of light has a larger angle of incidence θ1. Here, in order that the light rays are incident on the diffraction grating 35 from inside of the reticle substrate 33, diffracted and emitted along the optical axis toward the image side, the angle of incidence of the red light has to be π/2 or less. In other words, in expression (2), the wavelength of the red light is denoted by λr, the refractive index of the medium of the reticle substrate 33 is denoted by nr, and the angle of incidence of the red light is denoted by θr, the following conditional expression (3) has to be satisfied:
θr=sin.sup.−1(λr/(nr.Math.Δp))<π/2 (3).
(24) With changing conditional expression (3), the pitch Δp of the diffraction grating 35 has to satisfy the following conditional expression (4):
λr/nr<Δp (4).
(25) On the other hand, the light having shorter wavelength (the green light in the present embodiment) among two colors of light has smaller angle of incidence θ1 in expression (2). In the reticle unit 30 according to the present embodiment, the light is incident on the diffraction grating 35 after made total internal reflection by the image side surface 33b of the reticle substrate 33. Accordingly, as shown in
Δd=d−(Yg−d.Math.tan θg)/tan θg>0 (5).
(26) When the expression (5) is expanded as conditional expression of θg, conditional expression (6) is derived. From conditional expression (6) and expression (2) where the wavelength of the green light is denoted by λg, and the refractive index of the medium of the reticle substrate 33 at the wavelength λg is denoted by ng, the pitch Δp of the diffraction grating 35 has to satisfy the following conditional expression (7):
θg>tan.sup.−1(Yg/2d) (6)
Δp<λg/(ng.Math.sin(tan.sup.−1(Yg/2d))) (7).
(27) From the above-described expressions (4) and (7), in order to emit first order diffracted light along the optical axis with respect to any of the two colors of light of the red light and green light, the pitch Δp of the diffraction grating 35 has to satisfy the following conditional expression (8):
λr/nr<Δp<λg/(ng.Math.sin(tan.sup.−1(Yg/2d))) (8).
(28) As shown in
(29) Moreover, when the red light mirror member, the green light mirror member and the reticle substrate 34 can be formed by integral molding, the reticle substrate, the red light mirror member, and the green light mirror member may be formed by the same material.
(30) In the above-described explanations, although a case that the red light mirror member 32r and the green light mirror member 32g each having a reflecting surface with an aspherical surface are provided as converging portions converging red light rays and green light rays radiated from the red light source 31r and the green light source 31g onto the diffraction grating 35 is explained, lens member with an aspherical surface for converging red light or green light may be used.
(31) In the above-described explanations, although a case that two colors of light of the red light and green light are used is explained, light having other wavelength can be used, and three or more colors of light may be used. When three or more colors of light are used, the above-described conditional expression (8) becomes a condition where the longest wavelength is denoted by λr, and the shortest wavelength is denoted by λg among three or more colors of light.
EXAMPLES
(32) Then, the reticle unit 30 having an above-described construction is explained with showing specific examples.
Example 1
(33) A reticle unit 30 according to Example 1 is the one used for explaining the above-described embodiment shown in
(34) The center (hereinafter called an aspherical surface center) of a reference sphere of the aspherical surface, which is the shape of a reflecting surface composing a red light mirror member 32r (or a green light mirror member 32g) is, as shown by a pint Pr (or Pg) in
(35) Various values associated with the reticle unit 30 according to Example 1 are listed in Table 1. In Table 1, “d” denotes a thickness of the reticle substrate 33, “φ” denotes a diameter of the reticle substrate 33 having a disc-like shape, “nd” denotes a refractive index at d-line of a medium of the reticle substrate 33, “nC” denotes a refractive index at C-line of the medium of the reticle substrate 33, “νd” denotes an Abbe number, and “Δp” denotes a pitch of a diffraction grating 35. Incidentally, in this example, the wavelength of the red light is d-line, and the wavelength of the green light is C-line. It is needless to say that the present invention is not limited to these wavelengths. Moreover, the shaving amount “D” denotes a distance in y-axis direction from an end portion of the reticle substrate 33 having a disc-like shape to a portion where the reticle substrate is shaved for cementing the red light mirror member 32r (or the green light mirror member 32g). In other words, the length Yr (or Yg) between the diffraction grating 35 of the reticle unit 33 and the end surface where the red light mirror member 32r (or the green light mirror member 32g) is cemented becomes a value that the shaving amount D is subtracted from the radius φ/2 of the reticle substrate 33.
(36) Furthermore, coordinates of the center of light sources of the red light source 31r and the green light source 31g and coordinates of the center of the aspherical surfaces of the red light mirror member and the green light mirror member 32 are shown by values (z, y) in z-axis direction and y-axis direction when the center of the diffraction grating 35 coincides with the intersection point of x-axis, y-axis and z-axis defined in
S(y)=(y.sup.2/r)/(1+(1−(1+κ).Math.(y.sup.2/r.sup.2)).sup.1/2)+A4×y.sup.4+A6×y.sup.6+A8×y.sup.8+A10×y.sup.10 (9)
where “y” denotes a vertical height (the height of incidence) from the optical axis, S(y) denotes a distance (aspherical amount or sag amount) along the optical axis from the tangent surface at the vertex of the aspherical surface to the aspherical surface at the vertical height “y” from the optical axis, “r” denotes a radius of curvature of a reference sphere, “κ” denotes a conical coefficient, “A4” denotes a fourth order aspherical coefficient, “A6” denotes a sixth order aspherical coefficient, “A8” denotes a eighth order aspherical coefficient, and “A10” denotes a tenth order aspherical coefficient. A radius of curvature “r”, a conical coefficient “κ”, and aspherical coefficients “An” in expression (9) are shown. Here, “E-n” shown in aspherical coefficients denotes “×10.sup.−n”.
(37) In various values shown in Table 1, “mm” is generally used for the unit of length such as the thickness “d” of the reticle substrate 33, the diameter “φ”, and the pitch “Δp”. However, since similar optical performance can be obtained by an optical system proportionally enlarged or reduced its dimension, the unit is not necessarily to be limited to “mm”, and any other suitable unit can be used. The explanation of reference symbols is the same in the other Examples.
(38) TABLE-US-00001 TABLE 1 (reticle substrate 33) d = 5 φ = 24.2 nd = 1.5168 nC = 1.51432 νd = 64.1 Δp = 0.00051 (red light source 31r) center of light source = (5, 14.7) (red light mirror member 32r) center of aspherical surface = (0, 12.0) shaving amount D = 0.1 r = 2.74 κ = 6.49 A4 = 0.00208 A6 = −1.86927E−6 A8 = −1.96168E−8 A10 = 0 (green light source 31g) center of light source = (5, −11) (green light mirror member 32g) center of aspherical surface = (0, −8.8) shaving amount D = 3.3 r = 3.78 κ = 2.39 A4 = −0.00227 A6 = 0.00026 A8 = −5.29054E−6 A10 = 0
(39) With constructing the reticle unit 30 according to Example 1 on the basis of the above-described values, since red light rays and green light rays radiated from the red light source 31r or the green light source 31g are diffracted by the diffraction grating 35 and the first order diffracted light rays thereof are emitted along the optical axis, with switching these light sources 31r and 31g, a bright red or green point image can be observed on the optical axis of the field of view through the eyepiece 40.
Example 2
(40) Then, a reticle unit 130 according to Example 2 is explained with reference to
(41) TABLE-US-00002 TABLE 2 (reticle substrate 133) d = 5 φ = 24.8 nd = 1.5168 nC = 1.51432 νd = 64.1 Δp = 0.00047 (red light source 131r) center of light source = (0, 10.7) (red light mirror member 132r) center of aspherical surface = (5, 8.0) shaving amount D = 4.4 r = −4.74 κ = 0.56 A4 = 0.00127 A6 = −1.16884E−5 A8 = −1.56090E−7 A10 = 0 (green light source 131g) center of light source = (5, −15.9) (green light mirror member 132g) center of aspherical surface = (0, −12.3) shaving amount D = 0.1 r = 5.83 κ = 0.16 A4 = −0.00144 A6 = −1.34186E−5 A8 = −5.29054E−6 A10 = −2.14739E−8
(42) As described above, since the red light having longer wavelength, in comparison with the green light, becomes larger angle of incidence to the diffraction grating 135, the red light source 131r and the red light mirror member 132r can be disposed out side of the field of view without making total internal reflection on the image side surface 133b of the reticle substrate 133. Accordingly, a dimension in the red light source 131r side among the dimension in y-axis direction of the reticle unit 130 can be smaller than the reticle unit 30 according to Example 1.
Example 3
(43) Finally, a reticle unit 230 according to Example 3 is explained with reference to
(44) Various values associated with the reticle unit 230 according to Example 3 are listed in Table 3. Incidentally, the thickness of the aspherical lens of the red light lens member 232r is 5 mm. The focal length at d-line of the lens surface of the aspherical lens is 55.9 mm. The red light lens member 232r, the green light mirror member 232g and the reticle substrate 33 have substantially the same refractive power.
(45) TABLE-US-00003 TABLE 3 (reticle substrate 233) d = 5 φ = 24.8 nd = 1.5168 nC = 1.51432 νd = 64.1 Δp = 0.00047 (red light source 231r) center of light source = (3.9, 18.0) (red light lens member 232r) center of aspherical surface = (0, 13.0) shaving amount D = 4.4 r = −27.51 κ = 51.81 A4 = 0.00480 A6 = 0 A8 = 0 A10 = 0 (green light source 231g) center of light source = (5, −15.9) (green light mirror member 232g) center of aspherical surface = (0, −12.3) shaving amount D = 0.1 r = 5.83 κ = 0.16 A4 = −0.00144 A6 = −1.34186E−5 A8 = −5.29054E−6 A10 = −2.14739E−8
(46) As explained in Example 2, in red light, the red light source 231r can be disposed out side of the field of view without making total internal reflection on the image side surface 133b of the reticle substrate 133, so that even if the red light lens member 232r for converging light by refractive power is used instead of the red light mirror member, the reticle unit 230 can be constructed.