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空间外差光谱仪采用特定楔角的棱镜实现视场拓展是提高仪器通量和辐射灵敏度的重要手段之一。借鉴传统傅里叶变换光谱仪视场展宽基础理论,结合空间外差光谱仪的技术特点,研究了基于数值归纳方法进行视场展宽棱镜设计的理论依据和实现途径。分析了不同Littrow角和目标波数下视场展宽棱镜顶角的最优取值及最大视场展宽容限。结果表明数值归纳方法全面衡量各级次视场对相位差的影响给出视场展宽棱镜顶角的最优取值,与传统理论推导方法相比,沿色散主截面方向视场容限提高了10%～30%,且数值归纳方法设计空间外差视场展宽棱镜简单、直观,在设计过程中可同时分析仪器参数对视场展宽容限的影响。
Space heterodyne spectrometer using a specific wedge angle Prism to achieve field expansion is to improve the instrument flux and radiation sensitivity of one of the important means. By referring to the basic theory of field of view of traditional Fourier transform spectroscopy, combined with the technical characteristics of space heterodyne spectrometer, the theoretical basis and realization way of field-broadening prism design based on numerical induction method are studied. The optimum values of the apex angles of the field-broadening prism under different Littrow angles and the target wavenumber are analyzed, and the maximum field-wide tolerance is analyzed. The results show that the numerical induction method can fully measure the effect of sub-field of view on the phase difference and give the optimum value of the apex angle of the prism in the field of view. Compared with the traditional theory, the field of view tolerance along the main cross-section of the dispersion increases 10% ~ 30%, and the numerical induction method to design the space heterodyne field broadening prism is simple and intuitive. In the design process, the influence of instrument parameters on the field widening tolerance can be analyzed at the same time.