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A design of broken-symmetry–based ultra-narrowband filter assisted by coupled guided-mode resonance
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摘要
为实现超窄带滤波器在光通讯、光传感领域的应用需求，本文提出了一种在非对称光栅波导结构中引入耦合导模共振，来完成对特定波长进行高效传输滤波。该滤波结构由集成在硅基波导上的两个具有同周期但不同填充因子的堆叠亚波长光栅构成。光从堆叠光栅中的顶部垂直入射，通过调节底部光栅的厚度和填充因子，可激发多波导模式的非对称共振耦合。仿真结果表明，利用该对称破缺导模共振耦合原理，在满足高边带抑制比的前提下，产生极强的电场增强，不仅能实现0.005 nm的超窄带滤波效果，而且还具有很高的传输效率，可达到99%。
Abstract
In order to realize the application requirements of ultra-narrowband filters in the field of optical communication and optical sensing, this paper proposes a design concept of introducing a coupled guided mode resonance in an asymmetric grating waveguide structure to complete the efficient transmission filtering for specific wavelengths. The filtering structure consists of two added subwavelength gratings stacked on a silicon-based waveguide with the same period but different filling factors. Light waves are incident vertically from the top of the composite gratings, and the asymmetric resonant coupling of multiple waveguide modes can be excited by adjusting the thickness and filling factor of the bottom grating. Numerical simulations show that extremely strong electric field enhancement can be generated using this symmetry-broken guided-mode resonant coupling. Under the premise of satisfying the high sideband rejection ratio, the structure not only realizes the ultra-narrowband filtering effect of 0.005 nm, but also has a high transmission efficiency of 99%.
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Key words:
- subwavelength grating /
- guided mode resonance /
- ultra-narrow band filtering /
- coupling
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Overview
Overview: In the field of modern communication systems and signal processing, frequency selectivity is one of the keys to achieving efficient and reliable communication. With the continuous development of communication technology and growing application demands, the requirements for frequency selectivity in signal transmission are getting higher and higher. As an important frequency selective component with narrow bandwidth, high quality factor and good frequency selectivity, ultra-narrowband filters are widely used in the fields of radio frequency identification, radar systems, communication networks and astronomical observation. Conventional wideband filters cannot meet the frequency selectivity requirements in some specific application scenarios because they have large bandwidths and poor stopband attenuation characteristics. In contrast, ultra-narrowband filters with narrower bandwidth and better stopband characteristics can effectively suppress unwanted frequency components, thus improving the signal transmission quality and system performance. Therefore, the design, optimisation and performance analysis of ultra-narrowband filters are of great significance, which can promote the advancement of communication systems and signal processing technologies, and meet the needs of different application scenarios. However, the design and optimisation of ultra-narrowband filters face a number of challenges, such as the balance between frequency selectivity and bandwidth, the trade-off between stopband attenuation and passband loss, and the limitations of the manufacturing process. Therefore, an in-depth study of the design principles, optimisation methods, and performance analysis of ultra-narrowband filters is of great significance in overcoming these challenges and improving the performance and adaptability of the filters.
This study focuses on the design and analysis of ultra-narrow bandpass filters based on subwavelength gratings with a symmetric breaking structure. The objective is to investigate the potential of these filters and explore their performance characteristics. The research methodology involves numerical simulations and optimization techniques. The subwavelength gratings are designed and optimized by adjusting key parameters such as grating period, duty cycle, and thickness. The rigorous coupled-wave analysis (RCWA) method is employed to analyze the transmission characteristics of the filters, including transmittance and full width at half maximum(FWHM). The results demonstrate the successful realization of ultra-narrow bandpass filters based on subwavelength gratings with a symmetric breaking structure. These filters exhibit Very high transmittance, narrow bandwidth within a specific wavelength range. The filter structure is verified by numerical calculations and simulations to have an ultra-narrow band filtering effect of 0.005 nm and 99% transmittance. In conclusion, the proposed ultra-narrow bandpass filters based on subwavelength gratings with a symmetric breaking structure show great potential for applications in optical communication systems, spectral analysis, and laser technology. Future work can focus on further optimizing the filter design to enhance its performance characteristics and exploring wider application domains.
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图 1 由顶部和底部光栅组成的超窄带透射滤波器示意图
Figure 1. Schematic of the ultra-narrwoband transmission filter consisting of the top and bottow gratings
图 2 透射率与入射波长和光栅厚度d1的函数关系
Figure 2. Transimittance as function of the incident wavelength and the grating thickness d1
图 3 d1=8 nm 时透射率与入射波长和f1填充因子的函数关系
Figure 3. Transimittance as function of the incident wavelength and the filling factor f1 for d1=8 nm
图 4 λ1=1589 nm处d1=0 nm和8 nm波导层厚度d0的透射率函数
Figure 4. Transmittance as function of the waveguide laryer thickness d0 at λ1=1589 nm ford1=0 nm、8 nm
图 5 d1=8 nm透射率与入射波长的函数关系
Figure 5. Transmittance as function of the incident wavelength for d1=8 nm
图 6 λ0=1589 nm处d1=8 nm导模的电场强度
Figure 6. Electric field intensity distribution of the guided mode for d1=8 nm at λ0=1589 nm
图 7 λ0=1580.4 nm处d1=8 nm导模的电场强度
Figure 7. Electric field intensity distribution of the guided mode for d1=8 nm at λ0=1580.4 nm
图 8 λ0=1550 nm处d1=8 nm导模的电场强度
Figure 8. Electric field intensity distribution of the guided mode for d1=8 nm at λ0=1550 nm
图 9 模式3的透射率与入射波长的函数关系
Figure 9. Transmittance as function of the incident wavelength for Mode 3
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