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Effect of Comatic Aberration on the Propagation Characteristics of Laguerre--Gaussian Beams

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Abstract

Seidel comatic aberration is an important cause of deformation for a Laguerre--Gaussian (LG) beam. In addition, mono-axial comatic aberration, whose phase modulation depends only on one transverse coordinate, is also an important cause of beam deformation. Deformation of an LG beam by such aberrations is analyzed through numerical simulation based on the angular spectrum method. It is also shown that for holographically generated LG beams quadratic spatial variation of grating pitch can produce seidel and mono-axial comatic aberrations. An example of an experimentally generated LG beam with mono-axial comatic aberration is reported.

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References

  1. 1) H. Kogelnik and T. Li: Proc. IEEE 54 (1966) 1312.

    Article  Google Scholar 

  2. 2) H. He, N. R. Heckenberg and H. Rubinsztein-Dunlop: J. Mod. Opt. 42 (1995) 217.

    ADS  Google Scholar 

  3. 3) T. Kuga, Y. Torii, N. Shiokawa and T. Hirano: Phys. Rev. Lett. 78 (1997) 4713.

    Article  ADS  Google Scholar 

  4. 4) H. He, M. E. J. Friese, N. R. Heckenberg and H. Rubinstein-Dunlop: Phys. Rev. Lett. 75 (1995) 826.

    ADS  Google Scholar 

  5. 5) M. E. J. Friese, J. Enger, H. Rubinstein-Dunlop and N. R. Heckenberg: Phys. Rev. A 54 (1996) 1593.

    Article  ADS  Google Scholar 

  6. 6) N. B. Simpson, L. Allen and M. J. Padgett: Opt. Lett. 22 (1997) 52.

    ADS  Google Scholar 

  7. 7) E. Abramochkin and V. Volostnikov: Opt. Commun. 83 (1991) 123.

    Article  ADS  Google Scholar 

  8. 8) M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen and J. P. Woerdman: Opt. Commun. 96 (1993) 123.

    Article  ADS  Google Scholar 

  9. 9) V. Y. Bazhenov, M. V. Vasnetsov and M. S. Soskin: JETP Lett. 52 (1990) 427.

    ADS  Google Scholar 

  10. 10) N. R. Heckenberg, R. McDuff, C. P. Smith and A. G. White: Opt. Lett. 17 (1992) 221.

    ADS  Google Scholar 

  11. 11) H. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinstein-Dunlop and M. J. Wegener: Opt. Quantum Electron. 24 (1992) S951.

    Article  Google Scholar 

  12. 12) I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin and M. V. Vasnetsov: Opt. Commun. 103 (1993) 422.

    Article  ADS  Google Scholar 

  13. 13) Y. Handa, T. Suhara, H. Nishihara and J. Koyama: Appl. Opt. 19 (1980) 2842.

    ADS  Google Scholar 

  14. 14) Y. Miyamoto, M. Masuda, A. Wada and M. Takeda: Proc. SPIE 3740 (1999) 232.

    ADS  Google Scholar 

  15. 15) A. J. Lee and D. P. Casasent: Appl. Opt. 26 (1987) 136.

    ADS  Google Scholar 

  16. 16) A. E. Macgregor: Am. J. Phys. 60 (1992) 839.

    Article  ADS  Google Scholar 

  17. 17) J. Christou, V. Tikhonenko, Y. S. Kivshar and B. Luther-Davis: Opt. Lett. 21 (1996) 1649.

    Article  ADS  Google Scholar 

  18. 18) C. Slinger, P. Brett, V. Hui, G. Monnington, D. Pain and I. Sage: Opt. Lett. 22 (1997) 1113.

    ADS  Google Scholar 

  19. 19) M. Reicherter, T. Haist, E. U. Wagemann and H. J. Tiziani: Opt. Lett. 24 (1999) 608.

    ADS  Google Scholar 

  20. 20) J. Serna, F. Encinas-Sanz and G. Nemes: J. Opt. Soc. Am. A 18 (2001) 1726.

    ADS  Google Scholar 

  21. 21) A. Y. Bekshaev, M. S. Soskin and M. V. Vasnetsov: J. Opt. Soc. Am. A 20 (2003) 1635.

    ADS  Google Scholar 

  22. 22) J. Courtial and M. J. Padgett: Opt. Commun. 159 (1999) 13.

    Article  ADS  Google Scholar 

  23. 23) R. P. Singh and S. R. Chowdhury: Opt. Commun. 215 (2002) 231.

    ADS  Google Scholar 

  24. 24) G. Molina-Terriza, J. Recolons, J. P. Torres, L. Torner and E. M. Wright: Phys. Rev. Lett. 87 (2001) 023902.

    Article  ADS  Google Scholar 

  25. 25) A. Wada, T. Ohtani, Y. Miyamoto and M. Takeda: to be published in J. Opt. Soc. Am. A.

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Wada, A., Ohminato, H., Yonemura, T. et al. Effect of Comatic Aberration on the Propagation Characteristics of Laguerre--Gaussian Beams. OPT REV 12, 451–455 (2005). https://doi.org/10.1007/s10043-005-0451-x

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  • DOI: https://doi.org/10.1007/s10043-005-0451-x

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