用傅里叶角谱衍射理论推导了光子扫描隧道显微镜的标量和矢量角谱传递函数。计算表明， 光子扫描隧道显微镜的角谱传递函数鲜明地分成两个区， 即远场区和近场区。随着探针样品间距增大， 近场区内的角谱其振幅迅速衰减， 频率越高衰减越快， 而相位保持不变； 相反远场区内的角谱其振幅保持不变， 而相位非均匀线性增加， 频率越低增加越快。光子扫描隧道显微镜对近场角谱的采集能力是其突破瑞利衍射极限的关键。进一步根据角谱传递函数计算了不同样品的光子扫描隧道显微镜理论图像， 分析了探针与样品的间距、探针孔径大小、照明光入射角等对光子扫描隧道显微镜成像的影响 The scalar and vector angular transfer functions of the photon scanning tunneling microscope were deduced using Fourier angle diffraction theory. Calculations show that the angular spectral transfer function of the photon-scanning tunneling microscope is clearly divided into two regions, namely the far-field region and the near-field region. As the probe spacing increases, the amplitude of the angular spectrum in the near-field region decays rapidly. The higher the frequency, the faster the attenuation, while the phase remains unchanged. In contrast, the amplitude of the angular spectrum in the far-field region remains the same while the phase Non-uniform linear increase, the lower the frequency, the faster the increase. The ability of photon scanning tunneling microscope to capture the near-field angular spectrum is the key to its breakthrough Rayleigh diffraction limit. The theoretical images of photon scanning tunneling microscope with different samples were further calculated based on the angular spectrum transfer function. The effects of the distance between the probe and the sample, the size of the probe aperture, the incident angle of the illumination light on the imaging of the photon scanning tunneling microscope