Three Calculation Methods of the WGM Cylindrical Cavity Diameter

WGM mode in cylindrical cavity can be rapidly calibrated with analytical approximate formulas based on cylindrical micro-cavity WGM resonance peaks position. On this basis, the diameter of circular cavity can be calculated by applying the three methods, which are the first-order approximation method...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2019-07, Vol.563 (5), p.52012
Main Authors: Li, Zhou, Guangyang, Xu, Jiufu, Chen, Lisha, Wang, Yao, Zhang
Format: Article
Language:English
Subjects:
Approximation
Diameters
Mathematical analysis
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Summary:WGM mode in cylindrical cavity can be rapidly calibrated with analytical approximate formulas based on cylindrical micro-cavity WGM resonance peaks position. On this basis, the diameter of circular cavity can be calculated by applying the three methods, which are the first-order approximation method, the second-order approximation method and mode field radius. When comparing the results which are got from the three methods with the actual geometric diameter, we find that the deviation is within 3%, 2%, 1% respectively. As a result, the diameter of circular cavity can be correctly worked out by making use of these three ways mentioned.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/563/5/052012