We propose to realize a long range topography by dispersion unmatched spectral-domain interferometry based on virtually imaged phased array (VIPA) modes. By filtering the continuous spectrum of a supercontinuum source through a side-entrance Fabry–Perot etalon configured at two input angles, two groups of VIPA modes are generated. A method based on unmatched dispersion is proposed for non-aliasing reconstruction of the true depth from the interference spectrum under-sampled at two groups of VIPA modes. With the high spectral resolution provided by the VIPA modes instead of the grating-based spectrometer, only a 10 dB falloff in sensitivity over a range of 10 mm was demonstrated. The feasibility of the proposed method was confirmed by topography of a sample of gauge blocks and a model of three-dimensional (3D) printed tooth. The occlusal surface of the tooth model was further quantitatively evaluated, demonstrating its potential application in long range 3D topography.

中文翻译：

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基于虚拟成像相控阵模式的色散无与伦比的谱域干涉测量法的长距离地形

我们建议通过基于虚拟成像相控阵（VIPA）模式的色散不匹配谱域干涉测量来实现长距离地形。通过配置在两个输入角度的侧入口法布里-珀罗标准具对超连续谱源的连续光谱进行滤波，生成两组 VIPA 模式。提出了一种基于不匹配色散的方法，用于从两组 VIPA 模式下采样的干扰频谱中非混叠重建真实深度。通过 VIPA 模式（而不是基于光栅的光谱仪）提供的高光谱分辨率，在 10 毫米范围内灵敏度仅下降 10 dB。通过量块样本的形貌和三维（3D）打印牙齿模型证实了所提出方法的可行性。牙齿模型的咬合面得到了进一步的定量评估，证明了其在长距离 3D 地形学中的潜在应用。