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Applied Optics

Applied Optics


  • Vol. 36, Iss. 1 — Jan. 1, 1997
  • pp: 314–318

Extended-bandwidth reflector designs by using wavelets

William H. Southwell  »View Author Affiliations

Applied Optics, Vol. 36, Issue 1, pp. 314-318 (1997)

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Optical interference coatings have been designed by using combinations of wavelets (fully apodized sine-wave refractive index groups). Like a single-line rugate filter, a single wavelet produces a stop band without harmonics and, in addition, has no sidelobes. The rules for combining wavelet refractive index structures have been derived for extended-bandwidth reflectors.

© 1997 Optical Society of America

Original Manuscript: April 11, 1996
Published: January 1, 1997

William H. Southwell, "Extended-bandwidth reflector designs by using wavelets," Appl. Opt. 36, 314-318 (1997)

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  1. H. A. Macleod, Thin Film Optical Filters, 2nd ed. (Macmillan, New York, 1986), p. 46.
  2. W. E. Johnson, R. L. Crane, “Introduction to rugate filter technology,” in Inhomogeneous and Quasi-Inhomogeneous Optical Coatings, J. A. Dobrowolski, P. G. Verly, eds., Proc. SPIE2046, 88–96 (1993). [CrossRef]
  3. W. H. Southwell, R. L. Hall, W. J. Gunning, “Using wavelets to design gradient-index interference coatings,” in Inhomogeneous and Quasi-Inhomogeneous Optical Coatings, J. A. Dobrowolski, P. G. Verly, eds., Proc. SPIE2046, 46–59 (1993). [CrossRef]
  4. Small harmonics appear for large amplitude sine-wave index structures. To eliminate these, one should strictly use what are called exponential sine waves, in which the log of the refractive index is sinusoidal.
  5. W. H. Southwell, “Gradient-index antireflection coatings,” Opt. Lett. 8, 584–586 (1983). [CrossRef] [PubMed]
  6. W. H. Southwell, “Using apodization functions to reduce side-lobes in rugate filters,” Appl. Opt. 28, 5091–5094 (1989). [CrossRef] [PubMed]
  7. W. H. Southwell, “Extended bandwidth reflector designs using wavelets,” in Optical Interference Coatings, Vol. 17 of 1995 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1995), pp. 11–13.

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