Analytical description of high-aperture STED resolution with 0-2 pi vortex phase modulation

作者：Xie, Hao; Liu, Yujia; Jin, Dayong; Santangelo, Philip J; Xi, Peng^*

来源：Journal of the Optical Society of America A-Optics Image Science and Vision, 2013, 30(8): 1640-1645.

DOI：10.1364/JOSAA.30.001640

• Analytical description
• Analytical expressions
• High numerical aperture objective
• Optical diffraction limit
• Optical superresolution
• Optical theory
• Saturation power
• Stimulated emission depletion

Stimulated emission depletion (STED) can achieve optical superresolution, with the optical diffraction limit broken by the suppression on the periphery of the fluorescent focal spot. Previously, it is generally experimentally accepted that there exists an inverse square root relationship with the STED power and the resolution, but with arbitrary coefficients in expression. In this paper, we have removed the arbitrary coefficients by exploring the relationship between the STED power and the achievable resolution from vector optical theory for the widely used 0-2 pi vortex phase modulation. Electromagnetic fields of the focal region of a high numerical aperture objective are calculated and approximated into polynomials of radius in the focal plane, and analytical expression of resolution as a function of the STED intensity has been derived. As a result, the resolution can be estimated directly from the measurement of the saturation power of the dye and the STED power applied in the region of high STED power.

• 出版日期2013-8
• 单位北京大学; 上海交通大学