Unveiling non-monochromatic modes and nonlinearity in Piet Hein quantum semiconductor waveguides

作者：Shahid Idrees, M. Jamil, Jiangtao Su, Awais Rasheed, Abdül Waheed, Jie Chen, Yuanyong Deng · 发表于：Scientific Reports · 年份：2024 · DOI：10.1038/s41598-024-76091-9 · 被引用次数：3 · 研究领域：Photonic and Optical Devices、Mechanical and Optical Resonators、Photonic Crystals and Applications

We investigate the propagation characteristics of transverse electric (TE) and transverse magnetic (TM) modes in a semiconductor quantum plasma-filled coaxial waveguide with a Piet Hein cross-section. The unique geometry of the Piet Hein cross-section offers intriguing possibilities for tailoring modal properties and exploiting novel nonlinear phenomena. Using analytical and numerical methods, we unveil the non-monochromatic behaviour of TE and TM modes, characterized by distinct peaks and troughs in their field components. The $$E_{z}$$ component of the TM mode exhibits a suppressed field within the central core and higher concentration in the cladding region, potentially minimizing energy loss within the waveguide. The $$E_{\rho }$$ component exhibits pronounced oscillations near the waveguide boundaries, suggesting constructive and destructive interference patterns. The $$E_{\xi }$$ component displays a non-monotonic behaviour with multiple pits and bumps, highlighting the interplay between the TE mode, the Piet Hein geometry, and the semiconductor quantum plasma properties. The $$B_{\rho }$$ component of the TM mode exhibits a non-monochromatic behaviour with multiple maxima and minima, attributed to the complex interactions between propagating waves with different phase shifts. The $$B_{\xi }$$ component exhibits a non-uniform distribution with distinct pits and bumps, with a resurgence towards the waveguide edges potentially due to higher-order mode contributions and lo...