Topological photonic crystals are innovative optical structures that leverage topological phases to achieve robust photonic bandgaps, exhibiting immunity to structural imperfections and disorder. However, a significant challenge in conventional topological photonic crystal designs has been the difficulty in precisely controlling the position of the transmission peak. To address this limitation, we present a modified topological photonic crystal composed of alternating (hbox {SiO}_2) and (hbox {TiO}_2) layers. This design incorporates a synergistic approach that integrates the transfer matrix method, quarter-wavelength thickness design principles, and iterative optimization of layer parameters to ensure precise wavelength alignment and enhanced spectral control. The proposed modified topological photonic crystal demonstrates superior performance, including wider photonic bandgaps, moderate transmission efficiency, and improved resistance to structural defects.
Top panel: Schematic diagrams of the proposed structure without modification (top) and with modification (bottom), together with the transmission spectra for the symmetric (red) and topological (blue) structures. Bottom panel: Transmission spectra (blue line), average transmission over perturbation (red line), and mean square error (gray shaded region) for the symmetric structure (left), topological structure (middle), and modified topological structure (right).
{"title":"Modified topological photonic crystal","authors":"Abhradeep Basu, Archita Nath, Suhani Das, Arya Pandey, Aksh Agrawal, Parth Hooda, Chittaranjan Nayak","doi":"10.1140/epjd/s10053-025-01079-7","DOIUrl":"10.1140/epjd/s10053-025-01079-7","url":null,"abstract":"<p>Topological photonic crystals are innovative optical structures that leverage topological phases to achieve robust photonic bandgaps, exhibiting immunity to structural imperfections and disorder. However, a significant challenge in conventional topological photonic crystal designs has been the difficulty in precisely controlling the position of the transmission peak. To address this limitation, we present a modified topological photonic crystal composed of alternating <span>(hbox {SiO}_2)</span> and <span>(hbox {TiO}_2)</span> layers. This design incorporates a synergistic approach that integrates the transfer matrix method, quarter-wavelength thickness design principles, and iterative optimization of layer parameters to ensure precise wavelength alignment and enhanced spectral control. The proposed modified topological photonic crystal demonstrates superior performance, including wider photonic bandgaps, moderate transmission efficiency, and improved resistance to structural defects.</p><p>Top panel: Schematic diagrams of the proposed structure without modification (top) and with modification (bottom), together with the transmission spectra for the symmetric (red) and topological (blue) structures. Bottom panel: Transmission spectra (blue line), average transmission over perturbation (red line), and mean square error (gray shaded region) for the symmetric structure (left), topological structure (middle), and modified topological structure (right).</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"79 11","pages":""},"PeriodicalIF":1.5,"publicationDate":"2025-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-05DOI: 10.1140/epjd/s10053-025-01090-y
Serhat F. Özeren
In this study, we investigate the classical and quantum dynamics of a harmonic oscillator with a mass that increases over time and asymptotically approaches a finite limit. The mass evolution is modeled by a logistic-type growth law, which leads to the disappearance of the effective damping in the longtime limit. Two scenarios are considered: (i) the case of a constant spring constant, corresponding to a parametric oscillator with decreasing frequency, and (ii) the case of a constant natural frequency, where the stiffness increases proportionally with the mass. In the classical regime, we derive the exact equations of motion, analyze phase-space trajectories, and examine the time evolution of the total energy. In both cases, as (t to infty), the oscillator approaches a stable periodic motion with constant energy. In the quantum regime, we employ the SU(1,1) coherent state formalism to obtain semiclassical equations of motion and compare them with the classical results. The analytical results obtained are supported by numerical simulations.