Abstract

This paper presents a scalar analysis of hollow optical fiber (HOF) with a graded-index (GRIN) profile by using the modified Airy functions. A full-vectorial analysis based on finite element method is performed as well to confirm the validity of the scalar analysis results. Based on the results obtained, GRIN HOF is shown to offer a much steeper field gradient and thus a significantly stronger repulsive optical force within the hollow region compared to a conventional step-index HOF, improving the atomic guiding efficiency.

© 2010 IEEE

PDF Article

References

  • View by:
  • |
  • |

  1. P. R. Chaudhuri, C. Lu, W. Xiaoyan, "Scalar model and exact vectorial description for the design analysis of hollow optical fiber components," Opt. Commun. 228, 285-293 (2003).
  2. S. Stagira, "Full vectorial analysis of cylindrical waveguides using Green functions," Opt. Commun. 225, 281-291 (2003).
  3. P. Lusse, K. Ramm, H.-G. Unger, J. Schule, "Comparison of a vectorial and new semivectorial finite-difference approach for optical waveguides," Opt. Quantum Electron. 29, 115-120 (1997).
  4. S. Marksteiner, C. M. Savage, P. Zoller, S. L. Rolston, "Coherent atomic waveguides from hollow optical fibers: quantized atomic motion," Phys. Rev. A 50, 2680-2690 (1994).
  5. H. Ito, K. Sakaki, T. Nakata, W. Jhe, M. Ohtsu, "Optical potential for atom guidance in a cylindrical-core hollow fiber," Opt. Commun. 115, 57-64 (1995).
  6. J. Yin, Y. Zhu, W. Wang, Y. Wang, W. Jhe, "Optical potential for atom guidance in a dark hollow laser beam," J. Opt. Soc. Amer. B 15, 25-33 (1998).
  7. R. E. Langer, "On the asymptotic solutions of ordinary differential equations, with an application to the Bessel functions of large order," Trans. Amer. Math. Soc. 33, 23-64 (1931).
  8. S. Roy, A. K. Ghatak, I. C. Goyal, R. L. Gallawa, "Modified Airy function method for the analysis of tunneling problems in optical waveguides and quantum-well structures," IEEE J. Quantum Electron 29, 340-345 (1993).
  9. M. S. Chung, C. M. Kim, "General eigenvalue equations for optical planar waveguides with arbitrarily graded-index profiles," J. Lightw. Technol. 18, 878-885 (2000).
  10. M. S. Chung, C. M. Kim, "Analysis of optical fiber with graded-index profile by a combination of modified Airy functions and WKB solutions," J. Lightw. Technol. 17, 2534-2541 (1999).
  11. M. A. Ol'Shanii, Yu. B. Ovchinnikov, V. S. Letokhov, "Laser guiding of atoms in a hollow optical fiber," Opt. Commun. 98, 77-79 (1993).
  12. M. J. Renn, D. Montgomery, O. Vdovin, D. Z. Anderson, C. E. Wieman, E. A. Cornell, "Laser-guided atoms in hollow-core optical fibers," Phys. Rev. Lett. col. 5, 3253-3256 (1995).
  13. H. Ito, T. Nakata, K. Sakaki, M. Ohtsu, K. I. Lee, W. Jhe, "Laser spectroscopy of atoms guided by evanescent waves in micron-sized hollow optical fibers," Phys. Rev. Lett. 76, 4500-4503 (1996).
  14. R. G. Dall, M. D. Hoogerland, D. Tierney, K. G. H. Baldwin, S. J. Buckman, "Single-mode hollow optical fibres for atom guiding," Appl. Phys. B. 74, 11-18 (2002).
  15. Z. Wang, M. Dai, J. Yin, "Atomic (or molecular) guiding using a blue-detuned doughnut mode in a hollow metallic waveguide," Opt. Exp. 13, 8406-8423 (2005).
  16. M. Key, I. G. Hughes, W. Rooijakkers, B. E. Sauer, E. A. Hinds, "Propagation of cold atoms along a miniature magnetic guide," Phys. Rev. Lett. 84, 1371-1373 (2000).
  17. W. Berglund, A. Gopinath, "WKB analysis of bend losses in optical waveguides," J. Lightw. Technol. 18, 1161-1166 (2000).

2005 (1)

Z. Wang, M. Dai, J. Yin, "Atomic (or molecular) guiding using a blue-detuned doughnut mode in a hollow metallic waveguide," Opt. Exp. 13, 8406-8423 (2005).

2003 (2)

P. R. Chaudhuri, C. Lu, W. Xiaoyan, "Scalar model and exact vectorial description for the design analysis of hollow optical fiber components," Opt. Commun. 228, 285-293 (2003).

S. Stagira, "Full vectorial analysis of cylindrical waveguides using Green functions," Opt. Commun. 225, 281-291 (2003).

2002 (1)

R. G. Dall, M. D. Hoogerland, D. Tierney, K. G. H. Baldwin, S. J. Buckman, "Single-mode hollow optical fibres for atom guiding," Appl. Phys. B. 74, 11-18 (2002).

2000 (3)

M. Key, I. G. Hughes, W. Rooijakkers, B. E. Sauer, E. A. Hinds, "Propagation of cold atoms along a miniature magnetic guide," Phys. Rev. Lett. 84, 1371-1373 (2000).

W. Berglund, A. Gopinath, "WKB analysis of bend losses in optical waveguides," J. Lightw. Technol. 18, 1161-1166 (2000).

M. S. Chung, C. M. Kim, "General eigenvalue equations for optical planar waveguides with arbitrarily graded-index profiles," J. Lightw. Technol. 18, 878-885 (2000).

1999 (1)

M. S. Chung, C. M. Kim, "Analysis of optical fiber with graded-index profile by a combination of modified Airy functions and WKB solutions," J. Lightw. Technol. 17, 2534-2541 (1999).

1998 (1)

J. Yin, Y. Zhu, W. Wang, Y. Wang, W. Jhe, "Optical potential for atom guidance in a dark hollow laser beam," J. Opt. Soc. Amer. B 15, 25-33 (1998).

1997 (1)

P. Lusse, K. Ramm, H.-G. Unger, J. Schule, "Comparison of a vectorial and new semivectorial finite-difference approach for optical waveguides," Opt. Quantum Electron. 29, 115-120 (1997).

1996 (1)

H. Ito, T. Nakata, K. Sakaki, M. Ohtsu, K. I. Lee, W. Jhe, "Laser spectroscopy of atoms guided by evanescent waves in micron-sized hollow optical fibers," Phys. Rev. Lett. 76, 4500-4503 (1996).

1995 (2)

M. J. Renn, D. Montgomery, O. Vdovin, D. Z. Anderson, C. E. Wieman, E. A. Cornell, "Laser-guided atoms in hollow-core optical fibers," Phys. Rev. Lett. col. 5, 3253-3256 (1995).

H. Ito, K. Sakaki, T. Nakata, W. Jhe, M. Ohtsu, "Optical potential for atom guidance in a cylindrical-core hollow fiber," Opt. Commun. 115, 57-64 (1995).

1994 (1)

S. Marksteiner, C. M. Savage, P. Zoller, S. L. Rolston, "Coherent atomic waveguides from hollow optical fibers: quantized atomic motion," Phys. Rev. A 50, 2680-2690 (1994).

1993 (2)

S. Roy, A. K. Ghatak, I. C. Goyal, R. L. Gallawa, "Modified Airy function method for the analysis of tunneling problems in optical waveguides and quantum-well structures," IEEE J. Quantum Electron 29, 340-345 (1993).

M. A. Ol'Shanii, Yu. B. Ovchinnikov, V. S. Letokhov, "Laser guiding of atoms in a hollow optical fiber," Opt. Commun. 98, 77-79 (1993).

1931 (1)

R. E. Langer, "On the asymptotic solutions of ordinary differential equations, with an application to the Bessel functions of large order," Trans. Amer. Math. Soc. 33, 23-64 (1931).

Appl. Phys. B. (1)

R. G. Dall, M. D. Hoogerland, D. Tierney, K. G. H. Baldwin, S. J. Buckman, "Single-mode hollow optical fibres for atom guiding," Appl. Phys. B. 74, 11-18 (2002).

IEEE J. Quantum Electron (1)

S. Roy, A. K. Ghatak, I. C. Goyal, R. L. Gallawa, "Modified Airy function method for the analysis of tunneling problems in optical waveguides and quantum-well structures," IEEE J. Quantum Electron 29, 340-345 (1993).

J. Lightw. Technol. (3)

M. S. Chung, C. M. Kim, "General eigenvalue equations for optical planar waveguides with arbitrarily graded-index profiles," J. Lightw. Technol. 18, 878-885 (2000).

M. S. Chung, C. M. Kim, "Analysis of optical fiber with graded-index profile by a combination of modified Airy functions and WKB solutions," J. Lightw. Technol. 17, 2534-2541 (1999).

W. Berglund, A. Gopinath, "WKB analysis of bend losses in optical waveguides," J. Lightw. Technol. 18, 1161-1166 (2000).

J. Opt. Soc. Amer. B (1)

J. Yin, Y. Zhu, W. Wang, Y. Wang, W. Jhe, "Optical potential for atom guidance in a dark hollow laser beam," J. Opt. Soc. Amer. B 15, 25-33 (1998).

Opt. Commun. (4)

H. Ito, K. Sakaki, T. Nakata, W. Jhe, M. Ohtsu, "Optical potential for atom guidance in a cylindrical-core hollow fiber," Opt. Commun. 115, 57-64 (1995).

M. A. Ol'Shanii, Yu. B. Ovchinnikov, V. S. Letokhov, "Laser guiding of atoms in a hollow optical fiber," Opt. Commun. 98, 77-79 (1993).

P. R. Chaudhuri, C. Lu, W. Xiaoyan, "Scalar model and exact vectorial description for the design analysis of hollow optical fiber components," Opt. Commun. 228, 285-293 (2003).

S. Stagira, "Full vectorial analysis of cylindrical waveguides using Green functions," Opt. Commun. 225, 281-291 (2003).

Opt. Exp. (1)

Z. Wang, M. Dai, J. Yin, "Atomic (or molecular) guiding using a blue-detuned doughnut mode in a hollow metallic waveguide," Opt. Exp. 13, 8406-8423 (2005).

Opt. Quantum Electron. (1)

P. Lusse, K. Ramm, H.-G. Unger, J. Schule, "Comparison of a vectorial and new semivectorial finite-difference approach for optical waveguides," Opt. Quantum Electron. 29, 115-120 (1997).

Phys. Rev. A (1)

S. Marksteiner, C. M. Savage, P. Zoller, S. L. Rolston, "Coherent atomic waveguides from hollow optical fibers: quantized atomic motion," Phys. Rev. A 50, 2680-2690 (1994).

Phys. Rev. Lett. (3)

M. J. Renn, D. Montgomery, O. Vdovin, D. Z. Anderson, C. E. Wieman, E. A. Cornell, "Laser-guided atoms in hollow-core optical fibers," Phys. Rev. Lett. col. 5, 3253-3256 (1995).

H. Ito, T. Nakata, K. Sakaki, M. Ohtsu, K. I. Lee, W. Jhe, "Laser spectroscopy of atoms guided by evanescent waves in micron-sized hollow optical fibers," Phys. Rev. Lett. 76, 4500-4503 (1996).

M. Key, I. G. Hughes, W. Rooijakkers, B. E. Sauer, E. A. Hinds, "Propagation of cold atoms along a miniature magnetic guide," Phys. Rev. Lett. 84, 1371-1373 (2000).

Trans. Amer. Math. Soc. (1)

R. E. Langer, "On the asymptotic solutions of ordinary differential equations, with an application to the Bessel functions of large order," Trans. Amer. Math. Soc. 33, 23-64 (1931).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.