Topology optimization has emerged as a powerful and efficient approach for the systematic design of photonic devices. In this master’s thesis, topology optimization is employed to design broadband optical filters using soft matter materials, with tailored transmission spectra across multiple wavelength ranges. These filters can operate either as standalone photonic components or as integrated elements within waveguide systems. The optical filter structures are modeled using layers with continuously varying refractive indices, characteristic of soft matter, as well as with birefringent soft matter materials, specifically liquid crystals, where the orientation of the optical axis changes along the length of the filter. The results demonstrate that the proposed liquid crystal-based approach is an effective strategy for designing broadband optical filters with diverse and tunable transmission spectra.
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