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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 18 — Jun. 20, 1994
  • pp: 3905–3911

General self-imaging properties in N × N multimode interference couplers including phase relations

M. Bachmann, P. A. Besse, and H. Melchior  »View Author Affiliations


Applied Optics, Vol. 33, Issue 18, pp. 3905-3911 (1994)
http://dx.doi.org/10.1364/AO.33.003905


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Abstract

Self-imaging properties of generalized N × N multimode interference couplers are derived. Positions, amplitudes, and phases of the self-images are directly related to the lengths and widths of the coupler by solving the eigenmode superposition equation analytically for any arbitrary length. Devices of length (M/N) 3L c , where M is the multiple occurrence of the N self-images, are analyzed in detail. The general formalism is applied to practical N × N couplers used in integrated optics, and simple phase relations are obtained.

© 1994 Optical Society of America

History
Original Manuscript: June 1, 1993
Revised Manuscript: October 20, 1993
Published: June 20, 1994

Citation
M. Bachmann, P. A. Besse, and H. Melchior, "General self-imaging properties in N × N multimode interference couplers including phase relations," Appl. Opt. 33, 3905-3911 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-18-3905

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