Abstract

An optical wing is a cambered rod that experiences a force and torque owing to the reflection and transmission of light from the surface. Here we address how such a wing may be designed to maintain an efficient thrust from radiation pressure (RP) while also providing a torque that returns the wing to a source facing orientation. The torsional stiffness of two different wing cross-sections is determined from numerical ray-tracing analyses. These results demonstrate the potential to construct a passive sun-tracking, space flight system or a microscopic surface measurement device based on RP force and torque.

© 2013 Optical Society of America

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  1. R. Kezerashvili, ed., Proceedings of the Second International Symposium on Solar Sailing (New York City College of Technology, 2010).
  2. C. R. McInnes, Solar Sailing: Technology, Dynamics and Mission Applications (Springer, 2004).
  3. D. Romagnoli and T. Oehlschlagel, Adv. Space Res. 48, 1869 (2011).
    [CrossRef]
  4. B. Wie, J. Guid. Control Dyn. 27, 526 (2004).
    [CrossRef]
  5. E. Mettler, A. B. Acikmese, and S. R. Ploen, “Attitude dynamics and control of solar sails with articulated vanes,” Tech. Rep., Guidance and Control Analysis Group (Jet Propulsion Laboratory, 2005).
  6. Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
    [CrossRef]
  7. A. Ashkin, Phys. Rev. Lett. 24, 156 (1970).
    [CrossRef]
  8. D. Grier, Nat. Photonics 424, 810 (2003).
  9. J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
    [CrossRef]
  10. J. J. Sáenz, Nat. Photonics 5, 514 (2011).
    [CrossRef]
  11. D. Ruffner and D. Grier, Phys. Rev. Lett. 108, 173602 (2012).
    [CrossRef]
  12. N. K. Metzger, M. Mazilu, L. Kelemen, P. Ormos, and K. Dolakia, J. Opt. 13, 044018 (2011).
    [CrossRef]
  13. P. Galajda and P. Ormos, Appl. Phys. Lett. 80, 4653(2002).
    [CrossRef]
  14. T. Asavei, V. L. Y. Loke, M. Barbieri, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, New J. Phys. 11, 093021 (2009).
    [CrossRef]
  15. G. A. Swartzlander, T. J. Peterson, A. B. Artusio-Glimpse, and A. D. Raisanen, Nat. Photonics 5, 48 (2011).
    [CrossRef]
  16. S. H. Simpson, S. Hanna, T. J. Peterson, and G. A. Swartzlander, Opt. Lett. 37, 4038 (2012).
    [CrossRef]
  17. J. Bookless and C. R. McInnes, Acta Astronaut. 62, 159 (2008).
    [CrossRef]
  18. R. Osiander, M. A. G. Darrin, and J. L. Champion, eds., MEMS and Microstructures in Aerospace Applications (CRC, 2005).

2012

Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
[CrossRef]

D. Ruffner and D. Grier, Phys. Rev. Lett. 108, 173602 (2012).
[CrossRef]

S. H. Simpson, S. Hanna, T. J. Peterson, and G. A. Swartzlander, Opt. Lett. 37, 4038 (2012).
[CrossRef]

2011

G. A. Swartzlander, T. J. Peterson, A. B. Artusio-Glimpse, and A. D. Raisanen, Nat. Photonics 5, 48 (2011).
[CrossRef]

N. K. Metzger, M. Mazilu, L. Kelemen, P. Ormos, and K. Dolakia, J. Opt. 13, 044018 (2011).
[CrossRef]

J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
[CrossRef]

J. J. Sáenz, Nat. Photonics 5, 514 (2011).
[CrossRef]

D. Romagnoli and T. Oehlschlagel, Adv. Space Res. 48, 1869 (2011).
[CrossRef]

2009

T. Asavei, V. L. Y. Loke, M. Barbieri, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, New J. Phys. 11, 093021 (2009).
[CrossRef]

2008

J. Bookless and C. R. McInnes, Acta Astronaut. 62, 159 (2008).
[CrossRef]

2004

B. Wie, J. Guid. Control Dyn. 27, 526 (2004).
[CrossRef]

2003

D. Grier, Nat. Photonics 424, 810 (2003).

2002

P. Galajda and P. Ormos, Appl. Phys. Lett. 80, 4653(2002).
[CrossRef]

1970

A. Ashkin, Phys. Rev. Lett. 24, 156 (1970).
[CrossRef]

Acikmese, A. B.

E. Mettler, A. B. Acikmese, and S. R. Ploen, “Attitude dynamics and control of solar sails with articulated vanes,” Tech. Rep., Guidance and Control Analysis Group (Jet Propulsion Laboratory, 2005).

Artusio-Glimpse, A. B.

G. A. Swartzlander, T. J. Peterson, A. B. Artusio-Glimpse, and A. D. Raisanen, Nat. Photonics 5, 48 (2011).
[CrossRef]

Asavei, T.

T. Asavei, V. L. Y. Loke, M. Barbieri, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, New J. Phys. 11, 093021 (2009).
[CrossRef]

Ashkin, A.

A. Ashkin, Phys. Rev. Lett. 24, 156 (1970).
[CrossRef]

Barbieri, M.

T. Asavei, V. L. Y. Loke, M. Barbieri, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, New J. Phys. 11, 093021 (2009).
[CrossRef]

Bookless, J.

J. Bookless and C. R. McInnes, Acta Astronaut. 62, 159 (2008).
[CrossRef]

Chan, C. T.

J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
[CrossRef]

Chen, J.

J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
[CrossRef]

Dolakia, K.

N. K. Metzger, M. Mazilu, L. Kelemen, P. Ormos, and K. Dolakia, J. Opt. 13, 044018 (2011).
[CrossRef]

Endo, T.

Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
[CrossRef]

Funase, R.

Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
[CrossRef]

Galajda, P.

P. Galajda and P. Ormos, Appl. Phys. Lett. 80, 4653(2002).
[CrossRef]

Grier, D.

D. Ruffner and D. Grier, Phys. Rev. Lett. 108, 173602 (2012).
[CrossRef]

D. Grier, Nat. Photonics 424, 810 (2003).

Hanna, S.

Heckenberg, N. R.

T. Asavei, V. L. Y. Loke, M. Barbieri, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, New J. Phys. 11, 093021 (2009).
[CrossRef]

Hoshino, H.

Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
[CrossRef]

Kawaguchi, J.

Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
[CrossRef]

Kelemen, L.

N. K. Metzger, M. Mazilu, L. Kelemen, P. Ormos, and K. Dolakia, J. Opt. 13, 044018 (2011).
[CrossRef]

Lin, Z.

J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
[CrossRef]

Loke, V. L. Y.

T. Asavei, V. L. Y. Loke, M. Barbieri, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, New J. Phys. 11, 093021 (2009).
[CrossRef]

Mazilu, M.

N. K. Metzger, M. Mazilu, L. Kelemen, P. Ormos, and K. Dolakia, J. Opt. 13, 044018 (2011).
[CrossRef]

McInnes, C. R.

J. Bookless and C. R. McInnes, Acta Astronaut. 62, 159 (2008).
[CrossRef]

C. R. McInnes, Solar Sailing: Technology, Dynamics and Mission Applications (Springer, 2004).

Mettler, E.

E. Mettler, A. B. Acikmese, and S. R. Ploen, “Attitude dynamics and control of solar sails with articulated vanes,” Tech. Rep., Guidance and Control Analysis Group (Jet Propulsion Laboratory, 2005).

Metzger, N. K.

N. K. Metzger, M. Mazilu, L. Kelemen, P. Ormos, and K. Dolakia, J. Opt. 13, 044018 (2011).
[CrossRef]

Mori, O.

Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
[CrossRef]

Ng, J.

J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
[CrossRef]

Nieminen, T. A.

T. Asavei, V. L. Y. Loke, M. Barbieri, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, New J. Phys. 11, 093021 (2009).
[CrossRef]

Oehlschlagel, T.

D. Romagnoli and T. Oehlschlagel, Adv. Space Res. 48, 1869 (2011).
[CrossRef]

Ormos, P.

N. K. Metzger, M. Mazilu, L. Kelemen, P. Ormos, and K. Dolakia, J. Opt. 13, 044018 (2011).
[CrossRef]

P. Galajda and P. Ormos, Appl. Phys. Lett. 80, 4653(2002).
[CrossRef]

Peterson, T. J.

S. H. Simpson, S. Hanna, T. J. Peterson, and G. A. Swartzlander, Opt. Lett. 37, 4038 (2012).
[CrossRef]

G. A. Swartzlander, T. J. Peterson, A. B. Artusio-Glimpse, and A. D. Raisanen, Nat. Photonics 5, 48 (2011).
[CrossRef]

Ploen, S. R.

E. Mettler, A. B. Acikmese, and S. R. Ploen, “Attitude dynamics and control of solar sails with articulated vanes,” Tech. Rep., Guidance and Control Analysis Group (Jet Propulsion Laboratory, 2005).

Raisanen, A. D.

G. A. Swartzlander, T. J. Peterson, A. B. Artusio-Glimpse, and A. D. Raisanen, Nat. Photonics 5, 48 (2011).
[CrossRef]

Romagnoli, D.

D. Romagnoli and T. Oehlschlagel, Adv. Space Res. 48, 1869 (2011).
[CrossRef]

Rubinsztein-Dunlop, H.

T. Asavei, V. L. Y. Loke, M. Barbieri, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, New J. Phys. 11, 093021 (2009).
[CrossRef]

Ruffner, D.

D. Ruffner and D. Grier, Phys. Rev. Lett. 108, 173602 (2012).
[CrossRef]

Sáenz, J. J.

J. J. Sáenz, Nat. Photonics 5, 514 (2011).
[CrossRef]

Saiki, T.

Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
[CrossRef]

Sawada, H.

Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
[CrossRef]

Simpson, S. H.

Swartzlander, G. A.

S. H. Simpson, S. Hanna, T. J. Peterson, and G. A. Swartzlander, Opt. Lett. 37, 4038 (2012).
[CrossRef]

G. A. Swartzlander, T. J. Peterson, A. B. Artusio-Glimpse, and A. D. Raisanen, Nat. Photonics 5, 48 (2011).
[CrossRef]

Tsuda, Y.

Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
[CrossRef]

Wie, B.

B. Wie, J. Guid. Control Dyn. 27, 526 (2004).
[CrossRef]

Yamamoto, T.

Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
[CrossRef]

Yonekura, K.

Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
[CrossRef]

Acta Astronaut.

Y. Tsuda, O. Mori, R. Funase, H. Sawada, T. Yamamoto, T. Saiki, T. Endo, K. Yonekura, H. Hoshino, and J. Kawaguchi, Acta Astronaut. 82, 183 (2012).
[CrossRef]

J. Bookless and C. R. McInnes, Acta Astronaut. 62, 159 (2008).
[CrossRef]

Adv. Space Res.

D. Romagnoli and T. Oehlschlagel, Adv. Space Res. 48, 1869 (2011).
[CrossRef]

Appl. Phys. Lett.

P. Galajda and P. Ormos, Appl. Phys. Lett. 80, 4653(2002).
[CrossRef]

J. Guid. Control Dyn.

B. Wie, J. Guid. Control Dyn. 27, 526 (2004).
[CrossRef]

J. Opt.

N. K. Metzger, M. Mazilu, L. Kelemen, P. Ormos, and K. Dolakia, J. Opt. 13, 044018 (2011).
[CrossRef]

Nat. Photonics

D. Grier, Nat. Photonics 424, 810 (2003).

J. Chen, J. Ng, Z. Lin, and C. T. Chan, Nat. Photonics 5, 531 (2011).
[CrossRef]

J. J. Sáenz, Nat. Photonics 5, 514 (2011).
[CrossRef]

G. A. Swartzlander, T. J. Peterson, A. B. Artusio-Glimpse, and A. D. Raisanen, Nat. Photonics 5, 48 (2011).
[CrossRef]

New J. Phys.

T. Asavei, V. L. Y. Loke, M. Barbieri, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, New J. Phys. 11, 093021 (2009).
[CrossRef]

Opt. Lett.

Phys. Rev. Lett.

A. Ashkin, Phys. Rev. Lett. 24, 156 (1970).
[CrossRef]

D. Ruffner and D. Grier, Phys. Rev. Lett. 108, 173602 (2012).
[CrossRef]

Other

E. Mettler, A. B. Acikmese, and S. R. Ploen, “Attitude dynamics and control of solar sails with articulated vanes,” Tech. Rep., Guidance and Control Analysis Group (Jet Propulsion Laboratory, 2005).

R. Kezerashvili, ed., Proceedings of the Second International Symposium on Solar Sailing (New York City College of Technology, 2010).

C. R. McInnes, Solar Sailing: Technology, Dynamics and Mission Applications (Springer, 2004).

R. Osiander, M. A. G. Darrin, and J. L. Champion, eds., MEMS and Microstructures in Aerospace Applications (CRC, 2005).

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Figures (4)

Fig. 1.
Fig. 1.

Diagram of two wing oscillators having reflective back surfaces. (a) Semicylinder: R=0.5 units. (b) Trapezoidal rod: T=0.21, H=0.30, and B=1.0 units.

Fig. 2.
Fig. 2.

Free-body diagram of semicylindrical wing of infinite length, where r0 is the vector offset from the center of mass (CM) to the center of radiation pressure (CP) such that the torque is due to total force F is T=r0×F.

Fig. 3.
Fig. 3.

Phase diagram at n=1.5 for (a) semicylinder and (b) trapezoidal rod. Contours separated by 10[Jω02].

Fig. 4.
Fig. 4.

Relative rotational stiffness against refractive index. Trapezoid curve is linear between 1.45 and 1.65, and semicylinder curve is linear between 1.5 and 1.7.

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