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. 2017 Oct 13;7:13168. doi: 10.1038/s41598-017-13205-6

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© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Verification of the fiber based detection mechanism by the PSD based detection method, via power spectrum analysis, and the camera based detection method, via equipartition theorem. Typical experimentally measured power spectrum data of a 4.63 μm bead trapped in water (black circles) and Lorentzian fitting (solid curves) from the fiber based detection (a) and PSD based detection method (b) at 69.6 mW in the y axis. (c) Optical trapping spring constant as a function of optical power, based on the fiber based detection (red dots), PSD (green squares), and camera based detection method (purple circles). The linear fitted curve (red dashed line) to a set of optical spring constants from the fiber based detection passes through point (0, 0). The optical power shown is the power emitted by each fiber.