Abstract

The original scanner for tilting orthogonal double prisms is studied to test the tracking performance in intersatellite laser communications. With a reduction ratio of more than 100 times from the change rate of the angle of beam deviation to that of the tilting angle of each prism, the theoretical analysis performed, as well as the verification experiment, indicates that the scanner can meet the requirements of the scanning accuracy superior to 0.5μrad with the scanning range greater than 500μrad and can facilitate the mechanical structure design.

© 2006 Optical Society of America

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References

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  1. T. Tolker-Nielsen, B. Demelenne, and E. Desplats, "In orbit test results of the first SILEX terminal," in Free-Space Laser Communication Technologies XI, G. S. Mecherle, ed., Proc. SPIE 3615, 31-42 (1999).
  2. C. S. Racho, A. Portillo, "Characterization and design of digital pointing subsystem for Optical Communication Demonstrator," in Free-Space Laser Communication Technologies XI, G. S. Mecherle, ed., Proc. SPIE 3615, 250-261 (1999).
  3. M. Toyoshima, S. Yamakawa, T. Yamawaki, K. Arai, M. Reyes, A. Alonso, Z. Sodnik, and B. Demelenne, "Ground-to-satellite optical link tests between Japanese optical communications terminal and European geostationary satellite ARTEMIS," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 1-15 (2004).
    [CrossRef]
  4. Y. Koyama, E. Morikawa, K. Shiratama, R. Suzuki, and Y. Yasuda, "Optical terminal for NeLS in-orbit demonstration," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 29-36 (2004).
    [CrossRef]
  5. G. Oppenhauser, "Silex program status--a major milestone is reached," in Free-Space Laser Communication Technologies IX, G. Stephen Mecherle, ed., Proc. SPIE 2990, 2-9 (1997).
  6. M. Bailly and E. Perez, "Pointing, acquisition and tracking system of Silex European program: a major technological step for inter-satellites optical communication," in Free-Space Laser Communication Technologies III, D. L. Begley and B. D. Seery, eds., Proc. SPIE 1417, 142-157 (1991).
    [CrossRef]
  7. D. Senderakova, A. Strba, "Analysis of a wedge prism to perform small-angle beam deviation," in Photonics, Devices, and Systems II, M. Hrabovsky, D. Senderakova, and P. Tomanek, eds., Proc. SPIE 5036, 148-151 (2003).
    [CrossRef]
  8. J. Sandoval, G. Paez, and M. Srojnik. "Optomechanical design of a prism rotator," in Infrared Spaceborne Remote Sensing IX, M. Strojnik and B. F. Andresen, eds., Proc. SPIE 4486, 170-180 (2002).
    [CrossRef]
  9. P. Shi and E. Stijns, "New optical method for measurement small-angle rotations," Appl. Opt. 27, 4342-4346 (1988).
    [CrossRef] [PubMed]
  10. L. Liu, X. Zhu, Y. Hu, Z. Luan, L. Wang, D. Liu, R. Gao, L. Xie, and J. Yuan, "A prototype of intersatellite laser communications terminals," in Free-Space Laser Communications V, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 137-141 (2005).
    [CrossRef]
  11. L. Wan, A. Li, L. Wang, Z. Luan, and L. Liu, "Design of an optical testbed for in-lab testing and validation for the intersatellite lasercom terminals," in Free-Space Laser Communications V; D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 549-554 (2005).

2005

L. Liu, X. Zhu, Y. Hu, Z. Luan, L. Wang, D. Liu, R. Gao, L. Xie, and J. Yuan, "A prototype of intersatellite laser communications terminals," in Free-Space Laser Communications V, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 137-141 (2005).
[CrossRef]

L. Wan, A. Li, L. Wang, Z. Luan, and L. Liu, "Design of an optical testbed for in-lab testing and validation for the intersatellite lasercom terminals," in Free-Space Laser Communications V; D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 549-554 (2005).

2004

M. Toyoshima, S. Yamakawa, T. Yamawaki, K. Arai, M. Reyes, A. Alonso, Z. Sodnik, and B. Demelenne, "Ground-to-satellite optical link tests between Japanese optical communications terminal and European geostationary satellite ARTEMIS," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 1-15 (2004).
[CrossRef]

Y. Koyama, E. Morikawa, K. Shiratama, R. Suzuki, and Y. Yasuda, "Optical terminal for NeLS in-orbit demonstration," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 29-36 (2004).
[CrossRef]

2003

D. Senderakova, A. Strba, "Analysis of a wedge prism to perform small-angle beam deviation," in Photonics, Devices, and Systems II, M. Hrabovsky, D. Senderakova, and P. Tomanek, eds., Proc. SPIE 5036, 148-151 (2003).
[CrossRef]

2002

J. Sandoval, G. Paez, and M. Srojnik. "Optomechanical design of a prism rotator," in Infrared Spaceborne Remote Sensing IX, M. Strojnik and B. F. Andresen, eds., Proc. SPIE 4486, 170-180 (2002).
[CrossRef]

1999

T. Tolker-Nielsen, B. Demelenne, and E. Desplats, "In orbit test results of the first SILEX terminal," in Free-Space Laser Communication Technologies XI, G. S. Mecherle, ed., Proc. SPIE 3615, 31-42 (1999).

C. S. Racho, A. Portillo, "Characterization and design of digital pointing subsystem for Optical Communication Demonstrator," in Free-Space Laser Communication Technologies XI, G. S. Mecherle, ed., Proc. SPIE 3615, 250-261 (1999).

1997

G. Oppenhauser, "Silex program status--a major milestone is reached," in Free-Space Laser Communication Technologies IX, G. Stephen Mecherle, ed., Proc. SPIE 2990, 2-9 (1997).

1991

M. Bailly and E. Perez, "Pointing, acquisition and tracking system of Silex European program: a major technological step for inter-satellites optical communication," in Free-Space Laser Communication Technologies III, D. L. Begley and B. D. Seery, eds., Proc. SPIE 1417, 142-157 (1991).
[CrossRef]

1988

Alonso, A.

M. Toyoshima, S. Yamakawa, T. Yamawaki, K. Arai, M. Reyes, A. Alonso, Z. Sodnik, and B. Demelenne, "Ground-to-satellite optical link tests between Japanese optical communications terminal and European geostationary satellite ARTEMIS," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 1-15 (2004).
[CrossRef]

Arai, K.

M. Toyoshima, S. Yamakawa, T. Yamawaki, K. Arai, M. Reyes, A. Alonso, Z. Sodnik, and B. Demelenne, "Ground-to-satellite optical link tests between Japanese optical communications terminal and European geostationary satellite ARTEMIS," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 1-15 (2004).
[CrossRef]

Bailly, M.

M. Bailly and E. Perez, "Pointing, acquisition and tracking system of Silex European program: a major technological step for inter-satellites optical communication," in Free-Space Laser Communication Technologies III, D. L. Begley and B. D. Seery, eds., Proc. SPIE 1417, 142-157 (1991).
[CrossRef]

Demelenne, B.

M. Toyoshima, S. Yamakawa, T. Yamawaki, K. Arai, M. Reyes, A. Alonso, Z. Sodnik, and B. Demelenne, "Ground-to-satellite optical link tests between Japanese optical communications terminal and European geostationary satellite ARTEMIS," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 1-15 (2004).
[CrossRef]

T. Tolker-Nielsen, B. Demelenne, and E. Desplats, "In orbit test results of the first SILEX terminal," in Free-Space Laser Communication Technologies XI, G. S. Mecherle, ed., Proc. SPIE 3615, 31-42 (1999).

Desplats, E.

T. Tolker-Nielsen, B. Demelenne, and E. Desplats, "In orbit test results of the first SILEX terminal," in Free-Space Laser Communication Technologies XI, G. S. Mecherle, ed., Proc. SPIE 3615, 31-42 (1999).

Gao, R.

L. Liu, X. Zhu, Y. Hu, Z. Luan, L. Wang, D. Liu, R. Gao, L. Xie, and J. Yuan, "A prototype of intersatellite laser communications terminals," in Free-Space Laser Communications V, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 137-141 (2005).
[CrossRef]

Hu, Y.

L. Liu, X. Zhu, Y. Hu, Z. Luan, L. Wang, D. Liu, R. Gao, L. Xie, and J. Yuan, "A prototype of intersatellite laser communications terminals," in Free-Space Laser Communications V, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 137-141 (2005).
[CrossRef]

Koyama, Y.

Y. Koyama, E. Morikawa, K. Shiratama, R. Suzuki, and Y. Yasuda, "Optical terminal for NeLS in-orbit demonstration," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 29-36 (2004).
[CrossRef]

Li, A.

L. Wan, A. Li, L. Wang, Z. Luan, and L. Liu, "Design of an optical testbed for in-lab testing and validation for the intersatellite lasercom terminals," in Free-Space Laser Communications V; D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 549-554 (2005).

Liu, D.

L. Liu, X. Zhu, Y. Hu, Z. Luan, L. Wang, D. Liu, R. Gao, L. Xie, and J. Yuan, "A prototype of intersatellite laser communications terminals," in Free-Space Laser Communications V, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 137-141 (2005).
[CrossRef]

Liu, L.

L. Liu, X. Zhu, Y. Hu, Z. Luan, L. Wang, D. Liu, R. Gao, L. Xie, and J. Yuan, "A prototype of intersatellite laser communications terminals," in Free-Space Laser Communications V, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 137-141 (2005).
[CrossRef]

L. Wan, A. Li, L. Wang, Z. Luan, and L. Liu, "Design of an optical testbed for in-lab testing and validation for the intersatellite lasercom terminals," in Free-Space Laser Communications V; D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 549-554 (2005).

Luan, Z.

L. Wan, A. Li, L. Wang, Z. Luan, and L. Liu, "Design of an optical testbed for in-lab testing and validation for the intersatellite lasercom terminals," in Free-Space Laser Communications V; D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 549-554 (2005).

L. Liu, X. Zhu, Y. Hu, Z. Luan, L. Wang, D. Liu, R. Gao, L. Xie, and J. Yuan, "A prototype of intersatellite laser communications terminals," in Free-Space Laser Communications V, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 137-141 (2005).
[CrossRef]

Morikawa, E.

Y. Koyama, E. Morikawa, K. Shiratama, R. Suzuki, and Y. Yasuda, "Optical terminal for NeLS in-orbit demonstration," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 29-36 (2004).
[CrossRef]

Oppenhauser, G.

G. Oppenhauser, "Silex program status--a major milestone is reached," in Free-Space Laser Communication Technologies IX, G. Stephen Mecherle, ed., Proc. SPIE 2990, 2-9 (1997).

Paez, G.

J. Sandoval, G. Paez, and M. Srojnik. "Optomechanical design of a prism rotator," in Infrared Spaceborne Remote Sensing IX, M. Strojnik and B. F. Andresen, eds., Proc. SPIE 4486, 170-180 (2002).
[CrossRef]

Perez, E.

M. Bailly and E. Perez, "Pointing, acquisition and tracking system of Silex European program: a major technological step for inter-satellites optical communication," in Free-Space Laser Communication Technologies III, D. L. Begley and B. D. Seery, eds., Proc. SPIE 1417, 142-157 (1991).
[CrossRef]

Portillo, A.

C. S. Racho, A. Portillo, "Characterization and design of digital pointing subsystem for Optical Communication Demonstrator," in Free-Space Laser Communication Technologies XI, G. S. Mecherle, ed., Proc. SPIE 3615, 250-261 (1999).

Racho, C. S.

C. S. Racho, A. Portillo, "Characterization and design of digital pointing subsystem for Optical Communication Demonstrator," in Free-Space Laser Communication Technologies XI, G. S. Mecherle, ed., Proc. SPIE 3615, 250-261 (1999).

Reyes, M.

M. Toyoshima, S. Yamakawa, T. Yamawaki, K. Arai, M. Reyes, A. Alonso, Z. Sodnik, and B. Demelenne, "Ground-to-satellite optical link tests between Japanese optical communications terminal and European geostationary satellite ARTEMIS," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 1-15 (2004).
[CrossRef]

Sandoval, J.

J. Sandoval, G. Paez, and M. Srojnik. "Optomechanical design of a prism rotator," in Infrared Spaceborne Remote Sensing IX, M. Strojnik and B. F. Andresen, eds., Proc. SPIE 4486, 170-180 (2002).
[CrossRef]

Senderakova, D.

D. Senderakova, A. Strba, "Analysis of a wedge prism to perform small-angle beam deviation," in Photonics, Devices, and Systems II, M. Hrabovsky, D. Senderakova, and P. Tomanek, eds., Proc. SPIE 5036, 148-151 (2003).
[CrossRef]

Shi, P.

Shiratama, K.

Y. Koyama, E. Morikawa, K. Shiratama, R. Suzuki, and Y. Yasuda, "Optical terminal for NeLS in-orbit demonstration," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 29-36 (2004).
[CrossRef]

Sodnik, Z.

M. Toyoshima, S. Yamakawa, T. Yamawaki, K. Arai, M. Reyes, A. Alonso, Z. Sodnik, and B. Demelenne, "Ground-to-satellite optical link tests between Japanese optical communications terminal and European geostationary satellite ARTEMIS," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 1-15 (2004).
[CrossRef]

Srojnik., M.

J. Sandoval, G. Paez, and M. Srojnik. "Optomechanical design of a prism rotator," in Infrared Spaceborne Remote Sensing IX, M. Strojnik and B. F. Andresen, eds., Proc. SPIE 4486, 170-180 (2002).
[CrossRef]

Stijns, E.

Strba, A.

D. Senderakova, A. Strba, "Analysis of a wedge prism to perform small-angle beam deviation," in Photonics, Devices, and Systems II, M. Hrabovsky, D. Senderakova, and P. Tomanek, eds., Proc. SPIE 5036, 148-151 (2003).
[CrossRef]

Suzuki, R.

Y. Koyama, E. Morikawa, K. Shiratama, R. Suzuki, and Y. Yasuda, "Optical terminal for NeLS in-orbit demonstration," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 29-36 (2004).
[CrossRef]

Tolker-Nielsen, T.

T. Tolker-Nielsen, B. Demelenne, and E. Desplats, "In orbit test results of the first SILEX terminal," in Free-Space Laser Communication Technologies XI, G. S. Mecherle, ed., Proc. SPIE 3615, 31-42 (1999).

Toyoshima, M.

M. Toyoshima, S. Yamakawa, T. Yamawaki, K. Arai, M. Reyes, A. Alonso, Z. Sodnik, and B. Demelenne, "Ground-to-satellite optical link tests between Japanese optical communications terminal and European geostationary satellite ARTEMIS," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 1-15 (2004).
[CrossRef]

Wan, L.

L. Wan, A. Li, L. Wang, Z. Luan, and L. Liu, "Design of an optical testbed for in-lab testing and validation for the intersatellite lasercom terminals," in Free-Space Laser Communications V; D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 549-554 (2005).

Wang, L.

L. Wan, A. Li, L. Wang, Z. Luan, and L. Liu, "Design of an optical testbed for in-lab testing and validation for the intersatellite lasercom terminals," in Free-Space Laser Communications V; D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 549-554 (2005).

L. Liu, X. Zhu, Y. Hu, Z. Luan, L. Wang, D. Liu, R. Gao, L. Xie, and J. Yuan, "A prototype of intersatellite laser communications terminals," in Free-Space Laser Communications V, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 137-141 (2005).
[CrossRef]

Xie, L.

L. Liu, X. Zhu, Y. Hu, Z. Luan, L. Wang, D. Liu, R. Gao, L. Xie, and J. Yuan, "A prototype of intersatellite laser communications terminals," in Free-Space Laser Communications V, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 137-141 (2005).
[CrossRef]

Yamakawa, S.

M. Toyoshima, S. Yamakawa, T. Yamawaki, K. Arai, M. Reyes, A. Alonso, Z. Sodnik, and B. Demelenne, "Ground-to-satellite optical link tests between Japanese optical communications terminal and European geostationary satellite ARTEMIS," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 1-15 (2004).
[CrossRef]

Yamawaki, T.

M. Toyoshima, S. Yamakawa, T. Yamawaki, K. Arai, M. Reyes, A. Alonso, Z. Sodnik, and B. Demelenne, "Ground-to-satellite optical link tests between Japanese optical communications terminal and European geostationary satellite ARTEMIS," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 1-15 (2004).
[CrossRef]

Yasuda, Y.

Y. Koyama, E. Morikawa, K. Shiratama, R. Suzuki, and Y. Yasuda, "Optical terminal for NeLS in-orbit demonstration," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 29-36 (2004).
[CrossRef]

Yuan, J.

L. Liu, X. Zhu, Y. Hu, Z. Luan, L. Wang, D. Liu, R. Gao, L. Xie, and J. Yuan, "A prototype of intersatellite laser communications terminals," in Free-Space Laser Communications V, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 137-141 (2005).
[CrossRef]

Zhu, X.

L. Liu, X. Zhu, Y. Hu, Z. Luan, L. Wang, D. Liu, R. Gao, L. Xie, and J. Yuan, "A prototype of intersatellite laser communications terminals," in Free-Space Laser Communications V, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 137-141 (2005).
[CrossRef]

Appl. Opt.

Proc. SPIE

L. Liu, X. Zhu, Y. Hu, Z. Luan, L. Wang, D. Liu, R. Gao, L. Xie, and J. Yuan, "A prototype of intersatellite laser communications terminals," in Free-Space Laser Communications V, D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 137-141 (2005).
[CrossRef]

L. Wan, A. Li, L. Wang, Z. Luan, and L. Liu, "Design of an optical testbed for in-lab testing and validation for the intersatellite lasercom terminals," in Free-Space Laser Communications V; D. G. Voelz and J. C. Ricklin, eds., Proc. SPIE 5892, 549-554 (2005).

M. Bailly and E. Perez, "Pointing, acquisition and tracking system of Silex European program: a major technological step for inter-satellites optical communication," in Free-Space Laser Communication Technologies III, D. L. Begley and B. D. Seery, eds., Proc. SPIE 1417, 142-157 (1991).
[CrossRef]

D. Senderakova, A. Strba, "Analysis of a wedge prism to perform small-angle beam deviation," in Photonics, Devices, and Systems II, M. Hrabovsky, D. Senderakova, and P. Tomanek, eds., Proc. SPIE 5036, 148-151 (2003).
[CrossRef]

J. Sandoval, G. Paez, and M. Srojnik. "Optomechanical design of a prism rotator," in Infrared Spaceborne Remote Sensing IX, M. Strojnik and B. F. Andresen, eds., Proc. SPIE 4486, 170-180 (2002).
[CrossRef]

M. Toyoshima, S. Yamakawa, T. Yamawaki, K. Arai, M. Reyes, A. Alonso, Z. Sodnik, and B. Demelenne, "Ground-to-satellite optical link tests between Japanese optical communications terminal and European geostationary satellite ARTEMIS," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 1-15 (2004).
[CrossRef]

Y. Koyama, E. Morikawa, K. Shiratama, R. Suzuki, and Y. Yasuda, "Optical terminal for NeLS in-orbit demonstration," in Free-Space Laser Communication Technologies XVI, G. S. Mecherle, C. Y. Young, and J. S. Stryjewski, eds., Proc. SPIE 5338, 29-36 (2004).
[CrossRef]

Other

G. Oppenhauser, "Silex program status--a major milestone is reached," in Free-Space Laser Communication Technologies IX, G. Stephen Mecherle, ed., Proc. SPIE 2990, 2-9 (1997).

T. Tolker-Nielsen, B. Demelenne, and E. Desplats, "In orbit test results of the first SILEX terminal," in Free-Space Laser Communication Technologies XI, G. S. Mecherle, ed., Proc. SPIE 3615, 31-42 (1999).

C. S. Racho, A. Portillo, "Characterization and design of digital pointing subsystem for Optical Communication Demonstrator," in Free-Space Laser Communication Technologies XI, G. S. Mecherle, ed., Proc. SPIE 3615, 250-261 (1999).

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Figures (8)

Fig. 1
Fig. 1

Schematic for double prisms to steer the beam.

Fig. 2
Fig. 2

(a) Beam vertical field angle with the tilting angle of double prisms. (b) Beam horizontal field angle with the tilting angle of double prisms.

Fig. 3
Fig. 3

Mechanical structure of the scanner.

Fig. 4
Fig. 4

Control system blocks of the scanner.

Fig. 5
Fig. 5

Testing for the tilting accuracy of double prisms, the change rate of angle of beam deviation, and the beam scanning range.

Fig. 6
Fig. 6

(a) Testing for the angle of beam deviation with the tilting angle of (a) prism A and (b) prism B by the autocollimation measuring method.

Fig. 7
Fig. 7

Principle of testing for the accuracy of beam deviation by Zygo interferometer.

Fig. 8
Fig. 8

Errors between the measuring data and the theoretical values of the angle of beam deviation with (a) prism A, rms σ A = 0.437 μ rad and (b) prism B, rms σ B = 0.402 μ rad .

Tables (4)

Tables Icon

Table 1 Different Wedge Angle α (°) to Beam Deviation Angle δ (mrad) and Change Rate ∂δ∕∂ i (rad∕°)

Tables Icon

Table 2 Relation of Wedge Angle α (°) to Minimum Deviation Angle of Beam (°) and Required Tilting Angle of Double Prisms (°)

Tables Icon

Table 3 Beam Scanning Errors Influenced by the Main Error Sources (μrad) a

Tables Icon

Table 4 Results of Testing for Tilting Accuracy of Prism by the Autocollimation Measuring Method a

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

A 1 = ( sin   φ   cos   θ ,  cos   φ ,  sin   φ   sin   θ ) = ( a 1 , b 1 , c 1 ) ,
A 2 = ( sin   φ   cos   θ 11 ,  cos   φ ,  sin   φ   sin   θ 11 ) = ( a 2 , b 2 , c 2 ) .
δ 1 = i 1 + arcsin ( sin   α n ¯ 1 2 sin 2 i 1 cos   α   sin   i 1 ) α ,
Transform A 2 , then A 2 = ( cos   φ , sin   φ   sin   θ 12 , sin   φ   cos   θ 12 ) ,
A 3 = ( cos   φ , sin   φ   sin ( θ 12 δ 2 ) , sin   φ   cos ( θ 12 δ 2 ) = ( a 3 , b 3 , c 3 ) .
δ 2 = i 2 + arcsin ( sin   α n ¯ 2 2 sin 2 i 2 cos   α   sin   i 2 ) α ,
Vertical   field   angle,   arctan   ( a 3 / c 3 ) = arctan   cot   φ cos ( θ 12 δ 2 ) ,
Horizontal   field   angle,   arctan   ( b 3 / c 3 ) = arctan   sin ( θ 12 δ 2 ) cos ( θ 12 δ 2 ) = θ 12 δ 2 .
δ total = arccos ( a 1 a 3 + b 1 b 3 + c 1 c 3 ) .
δ = i + arcsin ( sin   α n 2 sin 2 i cos   α   sin   i ) α ,
δ min = 2 a ( sin   n   sin   α 2 ) α .

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