Shape evolution of a light pulse in a linear birefringent medium

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 21, Issue 2, 2004, Pages 288-297

  Dettwiller, Luc ^a,b  

^a Lycée Blaise Pascal ^*  (France)

^b UNIV PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BIREFRINGENCE; COMPUTER SIMULATION; ELECTROMAGNETIC DISPERSION; LASER PULSES; LIGHT PROPAGATION; VECTORS;

GAUSSIAN PULSE MODEL; LINEAR BIREFRINGENT MEDIUM; PULSE SECOND ORDER MOMENTS; SHAPE EVOLUTION;

LIGHT PULSE GENERATORS;

EID: 0842289690     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.21.000288     Document Type: Article

References (27)

1. J. E. Rothenberg and E. Joshua, "Complete all-optical switching of visible picosecond pulses in birefringent fiber," Opt. Lett. 18, 796-798 (1993).
2. M. Trippenbach and Y. B. Band, "Propagation of light pulses in nonisotropic media," J. Opt. Soc. Am. B 13, 1403-1411 (1996).
3. R. Petit, Ondes électromagnétiques en radioélectricité et en optique (Masson, Paris, 1988).
4. C. Radzewicz, J. S. Krasinsky, M. J. la Grone, M. Trippenbach, and Y. B. Band, "Interferometric measurement of femtosecond wavepacket tilting in rutile crystals," J. Opt. Soc. Am. B 14, 420-424 (1997).
5. L. Dettwiller, "Asymptotic evolution of a three-dimensional wave packet propagating in a linear dispersive medium," Eur. J. Phys. 23, 35-44 (2002).
6. L. Dettwiller, "Propagation de la lumière, dispersion, et absorption," in EGEM - Optique géométrique et propagation, J.-L. Meyzonnette, ed. (Hermès Lavoisier, Paris, 2003), Chap. 1.
7. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 6th ed. (Pergamon, Oxford, 1980).
8. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984), pp. 79-82.
9. M. Miyagi and S. Nishida, "Pulse spreading in a single-mode fiber due to third-order dispersion," Appl. Opt. 18, 678-682 (1979).
10. M. Miyagi and S. Nishida, "Pulse spreading in a single-mode optical fiber due to third-order dispersion: effort of optical source bandwidth," Appl. Opt. 18, 2237-2240 (1979).
11. S. A. Akhmanov, A. P. Sukhorukov, and S. A. Chirkin, "Stationary phenomena and space-time analogy in non-linear optics," Sov. Phys. JETP 28, 748-757 (1969).
12. E. B. Treacy, "Optical pulse compression with diffraction gratings," IEEE J. Quantum Electron. QE-5, 454-458 (1969).
13. G. Bruhat, Cours de physique générale Optique. (Masson, Paris, 1992).
14. A. Gray, Modern Differential Geometry of Curves and Surfaces (CRC, Boca Raton, Fla., 1993).
15. A. J. Schell and N. Bloembergen, "Laser studies of internal conical diffraction. I. Quantitative comparison of experimental and theoretical intensity distribution in aragonite," J. Opt. Soc. Am. 68, 1093-1098 (1978).
16. A. J. Schell and N. Bloembergen, "Laser studies of internal conical diffraction. II. Intensity patterns in an optically active crystal, α-iodic acid," J. Opt. Soc. Am. 68, 1098-1106 (1978).
17. W. J. Tropf, M. E. Thomas, and T. J. Harris, "Properties of crystals and glasses," in Handbook of Optics, Vol. 2, M. Bass, ed. (McGraw-Hill, New York, 1995). Gives (pp. 33.61-33.67) dispersion formulas for a hundred crystals at room temperature (and for rutile the Sellmeier relations no2 ≅ 5.913 + 0.2441 μm2/λ02 - 0.0803 μm2, ne2 ≅ 7.197 + 0.3322 μm2/λ02 - 0.0843 μm2 from 0.43 to 1.5 μm); it gives again the refractive indices of calcite from 0.198 to 3.324 μm, p. 33.70.
18. C. Doss-Bachelet, J.-P. Françoise, and C. Piquet, Géométrie differéntielle (Ellipses, Paris, 2000), p. 37.
19. E. W. Weisstein, CRC Concise Encyclopedia of Mathematics, 2nd ed. (Chapman & Hall/CRC, Boca Raton, Fla., 2003), p. 869.
20. J. H. Weaver, C. Krafka, D. W. Lynch, and E. E. Koch, Physik Daten (Fachinformationszentrum, Karlsruhe, Germany, 1981).
21. E. D. Palik, Handbook of Optical Constants of Solids (Academic, Boston, Mass., 1985), Vol. 1, and 1991 Vol. 2.
22. Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology (Springer, Berlin, 1985), Vol. 15b.
23. J. M. Bennett, "Polarizers," in Handbook of Optics, Vol. 2, M. Bass, ed. (McGraw-Hill, New York, 1995). Gives (pp. 3.5-3.6) the refractive indices and the absorption coefficients of calcite from 0.1318 to 3.4 μm.
24. F. J. Micheli, "Ueber den Einfluss der Temperatur auf die Dispersion ultravioletter Strahlen in Flussspat, Steinsalz, Quarz und Kalkspat," Ann. Phys. 7, 772-789 (1902). Gives the temperature coefficients of the ordinary and extraordinary indices of quartz and calcite at approximately 20 wavelengths from 211 to 643 nm.
25. K. Kato and E. Takaoka, "Sellmeier and thermo-optic dispersion formulas for KTP," Appl. Opt. 41, 5040-5044 (2002).
26. J. A. Ratcliffe, Magneto-Ionic Theory and Its Applications (Cambridge U. Press, Cambridge, UK, 1959).
27. K. G. Budden, Radio Waves in The Ionosphere (Cambridge U. Press, Cambridge, UK, 1961).