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) H. Kogelnik and T. Li: Proc. IEEE 54 (1966) 1312.
2) H. He, N. R. Heckenberg and H. Rubinsztein-Dunlop: J. Mod. Opt. 42 (1995) 217.
3) T. Kuga, Y. Torii, N. Shiokawa and T. Hirano: Phys. Rev. Lett. 78 (1997) 4713.
4) H. He, M. E. J. Friese, N. R. Heckenberg and H. Rubinstein-Dunlop: Phys. Rev. Lett. 75 (1995) 826.
5) M. E. J. Friese, J. Enger, H. Rubinstein-Dunlop and N. R. Heckenberg: Phys. Rev. A 54 (1996) 1593.
6) N. B. Simpson, L. Allen and M. J. Padgett: Opt. Lett. 22 (1997) 52.
7) E. Abramochkin and V. Volostnikov: Opt. Commun. 83 (1991) 123.
8) M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen and J. P. Woerdman: Opt. Commun. 96 (1993) 123.
9) V. Y. Bazhenov, M. V. Vasnetsov and M. S. Soskin: JETP Lett. 52 (1990) 427.
10) N. R. Heckenberg, R. McDuff, C. P. Smith and A. G. White: Opt. Lett. 17 (1992) 221.
11) H. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinstein-Dunlop and M. J. Wegener: Opt. Quantum Electron. 24 (1992) S951.
12) I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin and M. V. Vasnetsov: Opt. Commun. 103 (1993) 422.
13) Y. Handa, T. Suhara, H. Nishihara and J. Koyama: Appl. Opt. 19 (1980) 2842.
14) Y. Miyamoto, M. Masuda, A. Wada and M. Takeda: Proc. SPIE 3740 (1999) 232.
15) A. J. Lee and D. P. Casasent: Appl. Opt. 26 (1987) 136.
16) A. E. Macgregor: Am. J. Phys. 60 (1992) 839.
17) J. Christou, V. Tikhonenko, Y. S. Kivshar and B. Luther-Davis: Opt. Lett. 21 (1996) 1649.
18) C. Slinger, P. Brett, V. Hui, G. Monnington, D. Pain and I. Sage: Opt. Lett. 22 (1997) 1113.
19) M. Reicherter, T. Haist, E. U. Wagemann and H. J. Tiziani: Opt. Lett. 24 (1999) 608.
20) J. Serna, F. Encinas-Sanz and G. Nemes: J. Opt. Soc. Am. A 18 (2001) 1726.
21) A. Y. Bekshaev, M. S. Soskin and M. V. Vasnetsov: J. Opt. Soc. Am. A 20 (2003) 1635.
22) J. Courtial and M. J. Padgett: Opt. Commun. 159 (1999) 13.
23) R. P. Singh and S. R. Chowdhury: Opt. Commun. 215 (2002) 231.
24) G. Molina-Terriza, J. Recolons, J. P. Torres, L. Torner and E. M. Wright: Phys. Rev. Lett. 87 (2001) 023902.
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