CN219642006U - Cassegrain telescope - Google Patents
Cassegrain telescope Download PDFInfo
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- CN219642006U CN219642006U CN202321347039.1U CN202321347039U CN219642006U CN 219642006 U CN219642006 U CN 219642006U CN 202321347039 U CN202321347039 U CN 202321347039U CN 219642006 U CN219642006 U CN 219642006U
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- mirror
- primary
- secondary mirror
- telescope
- cassegrain telescope
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- 230000003287 optical effect Effects 0.000 description 3
- 230000004048 modification Effects 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
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- 230000009286 beneficial effect Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000006073 displacement reaction Methods 0.000 description 1
Abstract
The utility model provides a Cassegrain telescope based on the combination that a primary mirror is a perforated parabolic mirror and a secondary mirror is a hyperboloid mirror. The primary and secondary mirror vertex distance D can be obtained by knowing the curvature radius R1 at the primary mirror vertex, the secondary mirror conical coefficient k2, the curvature radius R2 at the secondary mirror vertex and the primary mirror clear aperture 2*D 1 The secondary mirror peak is distant from the focal point D of Cassegrain telescope 2 The focal length f of the Cassegrain telescope, the numerical aperture NA of the telescope. This greatly simplifies the design of the cassegrain telescope.
Description
Technical Field
The utility model relates to optics, in particular to a Cassegrain telescope.
Background
Cassegrain telescope (Cassegrain Telescope) is a common reflective telescope design, the nomenclature of which derives from French mathematics and astronomies Laurent Cassegrain. The cassegrain telescope employs a specific optical configuration to collect and focus light to form an image.
The cassegrain telescope consists of two main parts: a primary mirror and a secondary mirror. The primary mirror is typically a parabolic mirror having a concave surface that focuses light into a focal point. The secondary mirror is positioned in front of the focal point of the primary mirror and has a convex surface. The secondary mirror reflects the light focused from the primary mirror back to the primary mirror and then through the central aperture of the primary mirror, ultimately forming an image seen by the observer.
There are several advantages to the design of the cassegrain telescope. First, because light is reflected multiple times near the primary mirror focus, a relatively short focal length can achieve a longer optical path, making the telescope more compact. Second, the presence of the secondary mirror allows the observer to observe through the central hole in the bottom of the telescope, which makes the telescope structure more stable, able to support larger and heavy devices. In addition, the Cassegrain telescope has smaller aberration and better optical performance, so that the Cassegrain telescope is widely applied to astronomical observation and other fields.
Disclosure of Invention
The utility model provides a Cassegrain telescope based on the combination that a primary mirror is a perforated parabolic mirror and a secondary mirror is a hyperboloid mirror. The primary and secondary mirror vertex distance D can be obtained by knowing the curvature radius R1 at the primary mirror vertex, the secondary mirror conical coefficient k2, the curvature radius R2 at the secondary mirror vertex and the primary mirror clear aperture 2*D 1 The secondary mirror peak is distant from the focal point D of Cassegrain telescope 2 The focal length f of the Cassegrain telescope, the numerical aperture NA of the telescope. This greatly simplifies the design of the cassegrain telescope.
The technical scheme of the utility model is as follows: cassegrain telescope.
The device of the utility model comprises: the primary mirror is a perforated parabolic mirror, and the secondary mirror is a hyperboloid mirror. The primary mirror and the secondary mirror are coaxial, and the parallel light in the axial direction is focused on the focus of the telescope after being reflected by the secondary mirror, namely the front focus of the secondary mirror. The focus of the primary mirror coincides with the back focus of the secondary mirror, and the front focus of the secondary mirror coincides with the focus of the telescope. Cone coefficient of primary mirror-1, vertexIs defined by a radius of curvature R1; secondary mirror conic coefficient k2, radius of curvature at secondary mirror vertex R2, primary secondary mirror vertex distance The secondary mirror peak is far away from the focal point of the Cassegrain telescope>Focus +.>Primary mirror clear aperture 2*D, numerical aperture of cassegrain telescope
The utility model has the beneficial effects that:
1. the Cassegrain telescope with the perforated parabolic mirror as a primary mirror and the hyperboloid mirror as a secondary mirror is provided;
2. and a primary mirror and secondary mirror distance formula, a secondary mirror-to-focus distance formula, a telescope focal length formula and a numerical aperture formula are given.
Drawings
FIG. 1 is a parabolic schematic;
FIG. 2 is a hyperbolic schematic;
fig. 3 is a block diagram of the cassegrain telescope.
Detailed Description
The utility model will be further described with reference to the drawings and examples.
Equation (1) is a representation of a conic section, wherein: z (R) is the displacement of the conic z distance R relative to the vertex in the z direction, R is the radius of curvature at the vertex, k is the conic coefficient (k < -1 is hyperbola; k= -1 is parabolic; k > -1 is elliptical; k=0 is circular).
The parabolic conical coefficient k1= -1, the curvature radius R1 at the vertex, the formula (1) can be simplified to be the formula (2), the corresponding image is shown in fig. 1, the parabola rotates along the z-axis to be a paraboloid, and the light emitted from the focal point at R1/2 on the z-axis is collimated into the light parallel to the z-axis after being reflected by the paraboloid, and vice versa.
The hyperbolic conic coefficient k2< -1, the curvature radius R2 at the vertex, the formula (3) is obtained by deforming the formula (1).
And (3) inserting the formula (4) and the formula (5) into the formula (3) to obtain the formula (7), namely the hyperbolic common form. The left half of the hyperbolse:Sub>A is shown in FIG. 2, with the focal points of the hyperbolse:Sub>A being C-A and- (C+A) in the z-axis. And the hyperbola rotates around the z axis to obtain a hyperbola, so that light emitted by one focus of the hyperbola is converged on the other focus by a reverse extension line after being reflected by the hyperbola.
In the embodiment of the utility model, the device is as shown in fig. 3: the primary mirror of the Cassegrain telescope is a parabolic mirror with a hole in the center, and the secondary mirror is a hyperboloid mirror. The primary mirror and the secondary mirror are coaxial, and the parallel light in the axial direction is focused on the focus of the telescope after being reflected by the secondary mirror, namely the front focus of the secondary mirror. The focus of the primary mirror coincides with the back focus of the secondary mirror, and the front focus of the secondary mirror coincides with the focus of the telescope. The cone coefficient of the main mirror is-1, and the curvature radius R1 at the vertex is the same as that of the main mirror; the secondary mirror conical coefficient k2 and the curvature radius R2 at the secondary mirror vertex are obtained by substituting the formulse:Sub>A (4) and the formulse:Sub>A (6) when the primary and secondary mirror vertex distance D1 is R1/2- (C-A):
the secondary mirror vertex is distant from the focal point d2=c+a of the cassegrain telescope, and is obtained after the secondary mirror vertex is brought into the formula (4) and the formula (6):
the focal length f of the cassegrain telescope is:
as shown in fig. 3, the primary mirror clear aperture 2*D, the numerical aperture NA of the cassegrain telescope is:
the present utility model is not limited to the above-mentioned embodiments, but is not limited to the above-mentioned embodiments, and any simple modification, equivalent changes and modification made to the above-mentioned embodiments according to the technical matters of the present utility model can be made by those skilled in the art without departing from the scope of the present utility model.
Claims (3)
1. A cassegrain telescope, comprising: a primary mirror and a secondary mirror, wherein the primary mirror is a perforated parabolic mirror, the curvature radius R1 at the vertex of the primary mirror, and the cone coefficient k2 of the secondary mirror<1, radius of curvature R2 at the vertex of secondary mirror, primary mirror and secondary mirror are coaxial, primary mirror focal point and secondary mirror back focal point coincide, secondary mirror front focal point and telescope focal point coincide, primary and secondary mirror vertex distance The secondary mirror peak is far away from the focal point of the Cassegrain telescope>
2. A cassegrain telescope as claimed in claim 1, wherein: focal length of Cassegrain telescope
3. A cassegrain telescope as claimed in claim 1, wherein: primary mirror clear aperture 2*D, numerical aperture of cassegrain telescope
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202321347039.1U CN219642006U (en) | 2023-05-30 | 2023-05-30 | Cassegrain telescope |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202321347039.1U CN219642006U (en) | 2023-05-30 | 2023-05-30 | Cassegrain telescope |
Publications (1)
Publication Number | Publication Date |
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CN219642006U true CN219642006U (en) | 2023-09-05 |
Family
ID=87818167
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
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CN202321347039.1U Active CN219642006U (en) | 2023-05-30 | 2023-05-30 | Cassegrain telescope |
Country Status (1)
Country | Link |
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CN (1) | CN219642006U (en) |
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2023
- 2023-05-30 CN CN202321347039.1U patent/CN219642006U/en active Active
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