Geometric analysis of optical frequency conversion and its control in quadratic nonlinear media

Journal of the Optical Society of America B: Optical Physics

Volumn 17, Issue 6, 2000, Pages 932-941

  Luther, G G ^a,b,c,d   Alber, M S ^c   Marsden, J E ^b   Robbins, J M ^a,e  

^a HEWLETT PACKARD LABORATORIES   (United Kingdom)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c UNIVERSITY OF NOTRE DAME   (United States)

^d Northwestern University   (United States)

^e UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; LIGHT MODULATION; LIGHT POLARIZATION; LIGHT PROPAGATION;

QUASI-PHASE MATCHING;

OPTICAL FREQUENCY CONVERSION;

EID: 0034386860     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.17.000932     Document Type: Article

References (19)

1. A. Yariv, Quantum Electronics (Wiley, New York, 1980).
2. R. Boyd, Nonlinear Optics (Wiley, New York, 1988).
3. A. C. Newell and J. V. Moloney, Nonlinear Optics (Addison-Wesley, Palo Alto, 1992).
4. J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, "Interactions between light waves in a nonlinear dielectric," Phys. Rev. 127, 1918-1939 (1962).
5. K. C. Rustagi, S. C. Mehendale, and S. Menakshi, "Optical frequency conversion in quasi-phase-matched stacks of nonlinear crystals," IEEE J. Quantum Electron. QE-18, 1029 (1982).
6. C. J. McKinstrie and G. G. Luther, "Solitary-wave solutions of the generalised three-wave and four-wave equations," Phys. Rev. A 127, 14 (1988).
7. S. Trillo, S. Wabnitz, R. Chisari, and G. Cappellini, "Twowave mixing in a quadratic nonlinear medium: bifurcations, spatial instabilities, and chaos," Opt. Lett. 17, 637-639 (1992).
8. C. J. McKinstrie and X. D. Cao, "Nonlinear detuning of three-wave interactions," J. Opt. Soc. Am. B 10, 898-912 (1993).
9. J. Marsden and T. Ratiu, Introduction to Mechanics and Symmetry, Vol. 17 of Texts in Applied Mathematics, 2nd ed. (Springer-Verlag, New York, 1999).
10. M. S. Alber, G. G. Luther, J. E. Marsden, and J. M. Robbins, "Geometric phases, reduction and Lie-Poisson structure for the resonant three-wave interaction," Physica D 123, 271-290 (1998).
11. M. S. Alber, G. G. Luther, J. E. Marsden, and J. M. Robbins, in Proceedings of the Fields Institute Conference in Honour of the 60th Birthday of Vladimir I. Arnol'd, Fields Institute Communications Series, E. Bierstone, B. Khesin, A. Khovanskii, and J. Marsden, eds. (Field Institute, Toronto, Ontario, Canada, 1999).
12. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1980).
13. D. David, D. D. Holm, and M. V. Tratnik, "Integrable and chaotic polarization dynamics in nonlinear optical beams," Phys. Lett. A 137, 356-369 (1989).
14. N. N. Akhmediev and A. Ankiewicz, Solitons (Chapman & Hall, London, 1997).
15. M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, "Quasi-phase-matched second harmonic generation: tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992).
16. 3," J. Opt. Soc. Am. B 12, 2102-2116 (1995).
17. A. Kobyakov, U. Peschel, and F. Lederer, "Vectorial type-II interaction in cascaded quadratic nonlinearities - an analytical approach, " Opt. Commun. 124, 184-194 (1996).
18. A. Kobyakov and F. Lederer, "Cascading of quadratic nonlinearities: a comprehensive analytical study," Phys. Rev. A 54, 3455-3471 (1996).
19. C. J. McKinstrie, G. G. Luther, and S. H. Batha, "Signal enhancement in collinear four-wave mixing," J. Opt. Soc. Am. B 7, 340-344 (1990).