Spectral analysis of the UFBG-based acousto-optical modulator in V-I. transmission matrix formalism

• Published in: Chinese physics B Vol. 23; no. 11; pp. 247 - 252
• Main Author: 吴良英 裴丽 刘超 王一群 翁思俊 王建帅
• Format: Journal Article
• Language: English
• Published: 01.11.2014
• Subjects: Acoustics; Arithmetic; Fibers; Formalism; Mathematical analysis; Modulators; Reflectivity; Spectra; Wavelengths; 传输矩阵; 光纤布拉格光栅; 声光调制器; 声波频率; 形式主义; 波长间隔; 频谱分析; 频谱特性
• ISSN: 1674-1056; 2058-3834; 1741-4199
• DOI: 10.1088/1674-1056/23/11/110702

In this study, the V-I transmission matrix formalism （V-I method） is proposed to analyze the spectrum characteristics of the uniform fiber Bragg grating （FBG）-based acousto--opfic modulators （UFBG-AOM）. The simulation results demon- strate that both the amplitude of the acoustically induced strain and the frequency of the acoustic wave （AW） have an effect on the spectrum. Additionally, the wavelength spacing between the primary reflectivity peak and the secondary reflectivity peak is proportional to the acoustic frequency with the ratio 0.1425 nm/MHz. Meanwhile, we compare the amount of calculation. For the FBG whose period is M, the calculation of the V-I method is 4 × （2M-l） in addition/subtraction, 8 × （2M - 1） in multiply/division and 2M in exponent arithmetic, which is almost a quarter of the multi-film method and transfer matrix （TM） method. The detailed analysis indicates that, compared with the conventional multi-film method and transfer matrix （TM） method, the V-I method is faster and less complex.