Combining Cubic Spline Interpolation and Fast Fourier Transform to Extend Measuring Range of Reflectometry
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Abstract
The reflectometry is a common method used to measure the thickness of thin films. Using a conventional method, its measurable range is limited due to the low resolution of the current spectrometer embedded in the reflectometer. We present a simple method, using cubic spline interpolation to resample the spectrum with a high resolution, to extend the measurable transparent film thickness. A large measuring range up to 385 μm in optical thickness is achieved with the commonly used system. The numerical calculation and experimental results demonstrate that using the FFT method combined with cubic spline interpolation resampling in reflectrometry, a simple, easy-to-operate, economic measuring system can be achieved with high measuring accuracy and replicability.
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Ju Cheng, Jian Lu, Hong-Chao Zhang, Feng Lei, Maryam Sardar, Xin-Tian Bian, Fen Zuo, Zhong-Hua Shen, Xiao-Wu Ni, Jin Shi. Combining Cubic Spline Interpolation and Fast Fourier Transform to Extend Measuring Range of Reflectometry[J]. Chin. Phys. Lett., 2018, 35(5): 050701. DOI: 10.1088/0256-307X/35/5/050701
Ju Cheng, Jian Lu, Hong-Chao Zhang, Feng Lei, Maryam Sardar, Xin-Tian Bian, Fen Zuo, Zhong-Hua Shen, Xiao-Wu Ni, Jin Shi. Combining Cubic Spline Interpolation and Fast Fourier Transform to Extend Measuring Range of Reflectometry[J]. Chin. Phys. Lett., 2018, 35(5): 050701. DOI: 10.1088/0256-307X/35/5/050701
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Ju Cheng, Jian Lu, Hong-Chao Zhang, Feng Lei, Maryam Sardar, Xin-Tian Bian, Fen Zuo, Zhong-Hua Shen, Xiao-Wu Ni, Jin Shi. Combining Cubic Spline Interpolation and Fast Fourier Transform to Extend Measuring Range of Reflectometry[J]. Chin. Phys. Lett., 2018, 35(5): 050701. DOI: 10.1088/0256-307X/35/5/050701
Ju Cheng, Jian Lu, Hong-Chao Zhang, Feng Lei, Maryam Sardar, Xin-Tian Bian, Fen Zuo, Zhong-Hua Shen, Xiao-Wu Ni, Jin Shi. Combining Cubic Spline Interpolation and Fast Fourier Transform to Extend Measuring Range of Reflectometry[J]. Chin. Phys. Lett., 2018, 35(5): 050701. DOI: 10.1088/0256-307X/35/5/050701
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