Finite-difference time-domain modeling of dispersive nonlinear Fabry-Perot cavities

Journal of the Optical Society of America B: Optical Physics

Volumn 11, Issue 8, 1994, Pages 1504-1511

  Basinger, Scott A ^a   Brady, David J ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84975584782     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.11.001504     Document Type: Article

References (25)

1. A. M. Weiner and D. E. Leaird, “Generation of terahertz- rate trains of femtosecond pulses by phase-only filtering,” Opt. Lett. 15, 51-53 (1990).
2. A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert, “Programmable femtosecond pulse shaping by use of multielement liquid-crystal phase modulator,” Opt. Lett. 15, 326-328 (1990).
3. D. Brady, A. G.-S. Chen, and G. Rodriguez, “Volume holographic pulse shaping,” Opt. Lett. 17, 610-612 (1992).
4. K. B. Hill and D. Brady, “Pulse shaping in volume reflection holograms,” Opt. Lett. 18, 1739-1741 (1993).
5. W. Warren, H. Rabitz, and M. Dahleh, “Coherent control of quantum dynamics: the dream is alive,” Science 259, 1581-1589 (1993).
6. G. Toraldo Di Francia, “Degrees of freedom of an image” J. Opt. Soc. Am. 59, 799-804 (1969).
7. W. Lukosz, “Optical systems with resolving powers exceeding the classical limit II,” J. Opt. Soc. Am. 57, 932-941 (1967).
8. K. B. Hill, K. Purchase, and D. Brady, “Production and detection of pulsed images from reflection holograms,” in Annual Meeting, Vol. 16 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), paper ThLL2.
9. H. M. Gibbs, Optical Bistability: Controlling Light with Light (Academic, Orlando, 1985).
10. D. A. B. Miller, “Refractive Fabry-Perot bistability with linear absorption: theory of operation and cavity optimization,” IEEE J. Quantum Electron. QE-17, 306-311 (1981).
11. D. Weaire and J. P. Kermode, “Dispersive optical bistability: numerical methods and definite results,” J. Opt. Soc. Am. B 3, 1706-1711 (1986).
12. T. Bischofberger and Y. R. Shen, “Theoretical and experimental study of the dynamic behavior of a nonlinear Fabry-Perot interferometer,” Phys. Rev. A 19, 1169-1176 (1979).
13. T. Bischofberger and Y. R. Shen, “Transient behavior of a nonlinear Fabry-Perot,” Appl. Phys. Lett. 32, 156-158.
14. T. Bischofberger and Y. R. Shen, “Nonlinear behavior of a Fabry-Perot interferometer filled with a Kerr liquid,” J. Opt. Soc. Am. 68, 642 (1978).
15. T. Bischofberger and Y. R. Shen, “Theoretical and experimental study of the dynamic behavior of a nonlinear Fabry-Perot interferometer,” Phys. Rev. A 19, 1169-1176.
16. K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propag. AP-14, 302-307 (1966).
17. R. D. Richtmeyer and K. W. Morton, Difference Methods for Initial Value Problems (Wiley-Interscience, New York, 1967).
18. D. Potter, Computational Physics (Wiley-Interscience, New York, 1973).
19. W. F. Ames, Numerical Methods for Partial Differential Equations (Academic, New York, 1977).
20. A. Taflove, “Review of the formulation and applications of the finite-difference time-domain method for numerical modeling of the electromagnetic wave interactions with arbitrary structure,” Wave Motions 10, 547-582 (1988).
21. W. C. Chew, Waves and Fields in Inhomogenous Media (Van Nostrand Reinhold, New York, 1990).
22. P. M. Goorjian and A. Taflove, “Direct time integration of Maxwell’s equations in nonlinear dispersive media for propagation and scattering of femtosecond electromagnetic soli- tons,” Opt. Lett. 17, 180-182 (1992).
23. R. W. Ziolkowski and J. B. Judkins, “Full-wave vector Maxwell equation modeling of the self-focusing of ultrashort optical pulses in a nonlinear Kerr medium exhibiting a finite response time,” J. Opt. Soc. Am. B 10, 186-198 (1993).
24. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1984).
25. P. M. Gooijian, A. Taflove, R. M. Joseph, and S. C. Hagness, “Computational modeling of femtosecond optical solitons from Maxwell’s equations,” IEEE J. Quantum Electron. 28, 2416-2422 (1992).