Reflection spectra based on guided-mode resonance (GMR) are simulated and discussed with transformation between one-dimensional (1-D) and two-dimensional (2-D) photonic lattices by introducing intermediate structures consisting of vertically-stacked 1-D and 2-D gratings. Dependences of reflection spectra on a 2-D fractional ratio are investigated for two examples of narrowband and broadband resonance elements. Observed complicated spectrum transformations for the narrowband example are successfully explained by combining simple models with guided-mode indices and multilayer reflection. The understanding of the fundamental transformation dynamics will aid in the reflection band engineering for development of new optical components.

中文翻译：

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导模谐振光子晶格的维数变换

通过引入由垂直堆叠的一维和二维光子晶格组成的中间结构，模拟和讨论了基于导模共振 (GMR) 的反射光谱，以及一维 (1-D) 和二维 (2-D) 光子晶格之间的转换。二维光栅。针对窄带和宽带谐振元件的两个示例，研究了反射光谱对二维分数比的依赖性。通过将简单模型与导模指数和多层反射相结合，成功解释了窄带示例中观察到的复杂光谱变换。对基本变换动力学的理解将有助于反射带工程，以开发新的光学元件。