OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 28, Iss. 17 — Sep. 1, 1989
  • pp: 3567–3576

Multilayered slab waveguide design using a hybrid field vector

J. de Jong  »View Author Affiliations


Applied Optics, Vol. 28, Issue 17, pp. 3567-3576 (1989)
http://dx.doi.org/10.1364/AO.28.003567


View Full Text Article

Enhanced HTML    Acrobat PDF (1000 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A model is introduced that facilitates an easy scheme to design planar multilayered waveguides. The basis of this model is a field related vector that follows simply shaped trajectories as a function of the depth coordinate in the waveguide. Its diagram provides qualitative insight into the effects upon guided modes of a change in the number of layers, in their phase thicknesses and in the state of polarization. In addition, the method offers the possibility of studying the corresponding effects upon field components inside the waveguide.

© 1989 Optical Society of America

History
Original Manuscript: January 11, 1989
Published: September 1, 1989

Citation
J. de Jong, "Multilayered slab waveguide design using a hybrid field vector," Appl. Opt. 28, 3567-3576 (1989)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-28-17-3567


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. Chilwell, I. Hodgkinson, “Thin-Films Field-Transfer Matrix Theory of Planar Multilayer Waveguides and Reflection from Prism-Loaded Waveguides,” J. Opt. Soc. Am. A, 1, 742–753 (1984). [CrossRef]
  2. Yi-Fan Li, J. W. Y. Lit, “General Formulas for the Guiding Properties of a Multilayer Slab Waveguide,” J. Opt. Soc. Am. A, 4, 671–677 (1987). [CrossRef]
  3. J. F. Revelli, “Mode Analysis and Prism Coupling for Multilayered Optical Waveguides,” Appl. Opt. 20, 3158–3167 (1981). [CrossRef] [PubMed]
  4. L. M. Walpita, “Solutions for Planar Optical Waveguide Equations by Selecting Zero Elements in a Characteristic Matrix,” J. Opt. Soc. Am. A, 2, 595–602 (1985). [CrossRef]
  5. S. Ruschin, G. Griffel, A. Hardy, N. Croitoru, “Unified Approach for Calculating the Number of Confined Modes in Multilayered Waveguide Structures,” J. Opt. Soc. Am. A, 3, 116–123 (1986). [CrossRef]
  6. Yi-Fan Li, J. W. Y. Lit, “Contribution of Low-Index Layers to Mode Number in Multilayer Slab Waveguides,” J. Opt. Soc. Am. A, 4, 2233–2239 (1987). [CrossRef]
  7. M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, Oxford, 1975).
  8. H. A. Macleod, Thin-Film Optical Filters, 2nd ed. (Adam Hilger Ltd., Bristol, 1986). [CrossRef]
  9. For guided modes other authors call this kind of condition dispersion relation, characteristic equation, eigen value equation, eigen mode equation, or (characteristic) mode equation.
  10. The formulas obtained in this way are comparable with Eq. (7) of Y.-F. Li and J. W. Y. Lit [6]; ϕj equals their hjdj in layers where nj > β; ψj,+ equals their −ϕj+1, but their ϕj+1 is limited to the interval [0,π) while our |ψj,+| may amount to many times 2π.
  11. P. K. Tien, “Light Waves in Thin Films and Integrated Optics,” Appl. Opt., 10, 2395–2413 (1971). [CrossRef] [PubMed]
  12. P. K. Tien, R. Ulrich, “Theory of Prism-Film Coupler and Thin-Film Light Guides,” J. Opt. Soc. Am., 60, 1325–1337 (1970). [CrossRef]
  13. H. Oltmans, “Het Ontwerp van Planaire Meerlaags Golfgeleiders met Overdrachtmatrices,” Master Thesis, in Dutch (Delft U. Technology, Department of Applied Physics, 1988).
  14. χj−1,+ as defined here, is comparable with ψj in Eqs. (9b) and (14b) of Y.-F. Li and J. W. Y. Lit (2), and in Eq. 3(c) of Y.-F. Li and J. W. Y. Lit (6), if our ψj−1,+ is in Region I. If our ψj−1,+ is in Region II, their ψj equals our χj−1,+ + 1/2 πi.
  15. T. Tamir (Ed.), Integrated Optics (Springer-Verlag, Berlin, 1979).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited