8 June 2005 Investigation of optical integrated circuit functionality by transfer matrix method modelling
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In general most commercially available tools for optical integrated circuit (OIC) analysis are based on the beam propagation method (BPM) and involve a proportionally increasing amount of computational effort with increasing circuit size. An alternate approach to simulate the operation of complex OICs is proposed in this paper where a complex OIC is first divided into behavioural sub-components. Then a transfer matrix method (TMM) representation of each sub-component is employed to examine the functionality of the optical circuit. TMM matrix entries of the sub-components are generated via quasi-analytical techniques such as coupled mode theory for coupling sections and conformal mappings for bent waveguide sections. The above method can often provide a more transparent view of the circuit behaviour. A simulation and comparison of the TMM approach against a BPM analysis is provided for some fundamental circuit elements
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K. J. Jackson, K. J. Jackson, R. F. O'Dowd, R. F. O'Dowd, } "Investigation of optical integrated circuit functionality by transfer matrix method modelling", Proc. SPIE 5827, Opto-Ireland 2005: Photonic Engineering, (8 June 2005); doi: 10.1117/12.604869; https://doi.org/10.1117/12.604869

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