Ding Y, Magnusson R
Opt Express. 2004 Nov 15;12(23):5661-74. doi: 10.1364/opex.12.005661.
Single-layer subwavelength periodic waveguide films with binary profiles are applied to design numerous passive guided-mode resonance elements. It is shown that the grating profile critically influences the spectral characteristics of such devices. In particular, the symmetry of the profile controls the resonance spectral density. Symmetric profiles generate a single resonance on either side of the second stopband whereas two resonances arise, one on each side of the band, for asymmetric structures. Moreover, the profile's Fourier harmonic content, along with the absolute value of the grating modulation strength, affects the resonance linewidths and their relative locations. Computed Brillouin diagrams are presented to illustrate many key properties of the resonant leaky-mode spectra in relation to modulation strength and profile symmetry at the second stopband. Associated mode plots elucidate the spatial distribution of the leaky-mode field amplitude at resonance and show that, for small modulation, the mode shape may be simple whereas at higher modulation, the shape appears as a complex mixture of modes. By computing device spectra as function of the modulation strength, the buildup of the final spectral properties is illustrated and the contributions of the various leaky modes clarified. The results presented include wavelength and angular spectra for several example devices including narrow linewidth bandpass filters with extended low sidebands for TE and TM polarization, wideband reflectors for TE and TM polarization, polarizer, polarization-independent element, and a wideband antireflector, all with only a single binary layer with one-dimensional periodicity. These results demonstrate new dimensions in optical device design and may provide complementary capability with the field of thin-film optics.
具有二元轮廓的单层亚波长周期波导薄膜被应用于设计众多无源导模共振元件。结果表明,光栅轮廓对这类器件的光谱特性有着至关重要的影响。特别是,轮廓的对称性控制着共振光谱密度。对称轮廓在第二阻带的两侧产生单个共振,而对于非对称结构,在该带的两侧会出现两个共振。此外,轮廓的傅里叶谐波含量以及光栅调制强度的绝对值会影响共振线宽及其相对位置。给出了计算得到的布里渊图,以说明共振泄漏模光谱与第二阻带处的调制强度和轮廓对称性相关的许多关键特性。相关的模式图阐明了共振时泄漏模场振幅的空间分布,并表明,对于小调制,模式形状可能很简单,而在较高调制时,形状呈现为模式的复杂混合。通过将器件光谱计算为调制强度的函数,说明了最终光谱特性的形成,并明确了各种泄漏模的贡献。给出的结果包括几个示例器件的波长和角度光谱,这些器件包括具有扩展低边带的窄线宽带通滤波器(用于TE和TM偏振)、用于TE和TM偏振的宽带反射器、偏振器、偏振无关元件以及宽带抗反射器,所有这些器件都仅具有一个具有一维周期性的二元层。这些结果展示了光学器件设计的新维度,并可能为薄膜光学领域提供互补能力。