Abstract
This paper presents structural optimization based on sensitivity analysis exploiting a bi-directional beam propagation method (Bi-BPM) to design efficiently passive components in high-index-contrast optical waveguides. In this study, the Bi-BPM based on scaled-version Denman-Beavers iteration (S-DBI) with branch-cut technique, and scattering operator formulation (SO-Bi-BPM) is employed to execute stable, accurate wave-propagation analysis. Comparing three computation approaches of sensitivity with respect to design variables, efficient way of sensitivity analysis is revealed when the SO-Bi-BPM is used. The application range of the presented design approach is studied by designing a wavelength filter with waveguide grating, and a polarizer based on 1D photonic crystal (1D-PhC).
Highlights
Miniaturization of integrated photonic devices is intensively studied in recent years to achieve lower power consumption and higher speed optical network systems
This paper presents structural optimization based on sensitivity analysis exploiting a bi-directional beam propagation method (Bi-BPM) to design efficiently passive components in high-index-contrast optical waveguides
The application range of the presented design approach is studied by designing a wavelength filter with waveguide grating, and a polarizer based on 1D photonic crystal (1D-PhC)
Summary
Miniaturization of integrated photonic devices is intensively studied in recent years to achieve lower power consumption and higher speed optical network systems. We presented shape and topology optimization utilizing the standard BPMs based on sensitivity analysis to achieve efficient design of photonic integrated components [10]–[12]. These design approaches cannot be applied versatilely to design of optical components in high-indexcontrast waveguides due to limitation of the SVEA. This paper offers three design approaches based on sensitivity analysis when the SO formulation is employed These design approaches are compared in 2-D approximated design of a waveguide reflector and polarizer based on 1-D photonic crystal, and usefulness of presented design approaches are studied
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