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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 2 — Feb. 1, 1999
  • pp: 299–304

Analysis of femtosecond-order optical pulses diffracted by periodic structure

Hiroyuki Ichikawa  »View Author Affiliations


JOSA A, Vol. 16, Issue 2, pp. 299-304 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000299


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Abstract

Effects of spatial fine structure on a femtosecond-order optical pulse are numerically studied by using nondispersive and linear dielectric diffraction gratings in the resonance domain. Whereas a pulse longer than 100 fs is expected to behave the same as a continuous wave, the distribution of energy into each diffraction order deviates gradually for shorter pulses. This is due to the wide spectral profile of the pulsed wave. Overlap of adjacent diffraction orders will also occur for a pulse shorter than 5 fs. Therefore extra attention should be paid to designing optical elements based on diffractive structure for use with ultra-short pulsed waves.

© 1999 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1970) Diffraction and gratings : Diffractive optics
(260.2110) Physical optics : Electromagnetic optics
(270.5530) Quantum optics : Pulse propagation and temporal solitons
(320.2250) Ultrafast optics : Femtosecond phenomena

Citation
Hiroyuki Ichikawa, "Analysis of femtosecond-order optical pulses diffracted by periodic structure," J. Opt. Soc. Am. A 16, 299-304 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-2-299


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References

  1. The term resonance domain is explained briefly in E. Noponen, A. Vasara, J. Turunen, J. M. Miller, and M. R. Taghizadeh, “Synthetic diffractive optics in the resonance domain,” J. Opt. Soc. Am. A 9, 1206–1213 (1992). A more rigorous definition would be the range of a grating period normalized by wavelength where neither effective medium theory nor scalar diffraction theory is accurate. For example, refer to Fig. 1.6 in Diffractive Optics for Industrial and Commercial Applications, J. Turunen and F. Wyrowski, eds. (Akademie Verlag, Berlin, 1997), p. 12.
  2. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1996), pp. 36–38.
  3. Well known and organized examples are the following: R. Petit, ed., Electromagnetic Theory of Gratings (Springer-Verlag, Berlin, 1980); T. K. Gaylord and M. G. Moharam, “Analysis and applications of optical diffraction by gratings,” Proc. IEEE 73, 894–937 (1985); J. Turunen and F. Wyrowski, “Diffractive optics: from promise to fruition,” in Trends in Optics, A. Consortini, ed. (Academic, San Diego, Calif., 1996), Chap. 6, pp. 111–123.
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  6. Although semiconductor-based pulse lasers have much higher pulse frequencies, e.g., some reach several tens of GHz, their pulse durations are longer than 1 ps. See, for example, Abstracts of Fifth International Workshop on Femtosecond Technology (The Femtosecond Technology Research Association, Tsukuba, Japan, 1998).
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  10. A. P. Zhao, A. Räisänen, and S. R. Cvetkovic, “A fast and efficient FDTD algorithm for the analysis of planar microstrip discontinuities by using a simple source excitation scheme,” IEEE Microwave Guided Wave Lett. 5, 341–343 (1995).
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