<p>This work presents a systematic optical analysis of a one-dimensional MgF<sub>2</sub>/Air/TiO<sub>2</sub> photonic crystal operating in the visible range. Using the transfer-matrix method, we investigate the coupled influence of incidence angle, layer thickness, and polarization on the transmittance, reflectance, absorptance, and phase response of the structure. The study demonstrates that controlled geometric variations, particularly in the air spacer thickness, modify the photonic band-gap position and spectral sharpness through interference-driven dispersion effects. In addition to amplitude spectra, phase-resolved analysis is employed to identify band-edge phase discontinuities and associated dispersion characteristics. Three-dimensional wavelength-angle mapping further illustrates the angular evolution of transmission bands, revealing tunable spectral behavior without material modification. The results provide a comprehensive amplitude-phase framework for understanding and designing visible-range dielectric multilayer photonic structures for filtering, sensing, and dispersion-engineered optical components.</p>

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Angular and thickness tuned photonic crystal stacks for visible light control

  • Arafa H. Aly

摘要

This work presents a systematic optical analysis of a one-dimensional MgF2/Air/TiO2 photonic crystal operating in the visible range. Using the transfer-matrix method, we investigate the coupled influence of incidence angle, layer thickness, and polarization on the transmittance, reflectance, absorptance, and phase response of the structure. The study demonstrates that controlled geometric variations, particularly in the air spacer thickness, modify the photonic band-gap position and spectral sharpness through interference-driven dispersion effects. In addition to amplitude spectra, phase-resolved analysis is employed to identify band-edge phase discontinuities and associated dispersion characteristics. Three-dimensional wavelength-angle mapping further illustrates the angular evolution of transmission bands, revealing tunable spectral behavior without material modification. The results provide a comprehensive amplitude-phase framework for understanding and designing visible-range dielectric multilayer photonic structures for filtering, sensing, and dispersion-engineered optical components.