Effective-index-based matrix method: a computationally simpler alternative to BPM for integrated optics design

S. K. Lahiri; J. C. Biswas; P. Ganguly; Rabindra Nath Chakraborty

doi:10.1117/12.347919

28 April 1999 Effective-index-based matrix method: a computationally simpler alternative to BPM for integrated optics design

S. K. Lahiri, J. C. Biswas, P. Ganguly, Rabindra Nath Chakraborty

Author Affiliations +

Proceedings Volume 3666, International Conference on Fiber Optics and Photonics: Selected Papers from Photonics India '98; (1999) https://doi.org/10.1117/12.347919
Event: International Conference on Fiber Optics and Photonics: Selected Papers from Photonics India '98, 1998, New Delhi, India

Abstract

The 2D and 3D beam propagation method (BPM) which is now widely used for the design of fiber-optic and integrated-optic components is highly computer-intensive. The matrix method, which is computationally much simpler and faster, was used to analyze 2D planar multi-layer structures. The method has now been applied to 3D channel waveguides by transforming the 2D refractive index profile over the cross-section of the channel waveguide to a 1D effective index profile and discretizing the profile into thin layers. The effective index based matrix method (EIMM) has been used to compute the guided-mode propagation constants, the coupling length of directional couplers and the bending loss in curved waveguides for Ti- indiffused LiNbO₃ channel waveguides. The computed results agree closely with available experimental results. The method may also be used to compute field profiles in single and coupled waveguides. A versatile computer software is being developed to implement the above method for the design of optical waveguides and related components/devices on different substrates realized by in-diffusion, ion exchange and other techniques.

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S. K. Lahiri, J. C. Biswas, P. Ganguly, and Rabindra Nath Chakraborty "Effective-index-based matrix method: a computationally simpler alternative to BPM for integrated optics design", Proc. SPIE 3666, International Conference on Fiber Optics and Photonics: Selected Papers from Photonics India '98, (28 April 1999); https://doi.org/10.1117/12.347919

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