一种掺镱双包层光纤激光器理论模型与数值分析研究
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摘要
与传统的固体激光器相比,光纤激光器具有很多优点,如高效率、高光束质量、可靠性好、结构紧凑以及散热性好等。掺Yb~(3+)光纤激光器由于能级结构简单、无激发态吸收、增益谱宽易于调谐等优点受到了极大的关注。与传统的光纤不同,双包层光纤在纤芯外面增加了一个内包层。在双包层光纤激光器中,泵浦光在内包层中传输,被掺杂纤芯吸收,从而产生激光输出。由于内包层有较大的几何尺寸和数值孔径,因此,双包层光纤激光器能将更高的泵浦功率耦合到光纤中,得到高功率的激光输出。
本论文对所提出的一种掺Yb~(3+)双包层光纤激光器理论模型进行了公式演算与数值分析:
1.参阅了大量的最新文献,简要的归纳了光纤激光器的研究背景,描述了掺Yb~(3+)双包层光纤激光器当今国内外的最新研究进展。指出了光纤激光器课题研究的重要意义。
2.探讨了掺Yb~(3+)双包层光纤激光器的各个结构部分的工作机理,包括双包层光纤的结构与特点;谐振腔结构;泵浦耦合技术。为掺镱双包层光纤激光器理论模型的提出打下了良好的铺垫。
3.分析了Yb~(3+)的能级结构,光谱特性和Yb~(3+)离子受激辐射的特点。建立了双包层光纤激光器的功率传输方程,以此为基础,提出一种用光纤光栅作为F-P腔掺Yb~(3+)双包层光纤激光器的理论模型,针对此模型进行了理论分析,给出了数值计算的方法。特别阐述了采用的打靶法在设定此微分方程组边界条件的初值方法。为用MATLAB进行数值分析打下了良好的铺垫。
4.根据双包层光纤激光器的速率方程,利用上述所阐述的打靶法,用MATLAB进行了数值模拟,数值分析了掺Yb~(3+)双包层光纤激光器中激光和泵浦光的功率分布,分析了后腔镜反射率、泵浦光波长、散射损耗系数、掺杂浓度等对光纤激光器特性的影响;随后对作为增益光纤的双包层光纤吸收特性进行了详尽的公式演算与分析;对作为腔镜的光纤光栅特性进行了系统的理论推导分析。得出的理论分析结论为设计掺Yb~(3+)双包层光纤激光器提供了依据,为实验室的后续实验提供了参考与指导。
Compared with traditional solid state laser, fiber laser has many merits, such as high efficiency good beam quality compact and good heat dissipation. Yb~(3+) doped fiber laser has been attracted greatly because of simple energy structure, no excited state absorption, and wide tunable range. Different from general fiber, double clad fiber has an inner clad at the outside of fiber core. In double clad fiber laser, Pump light propagates in inner clad and is absorbed by doped fiber core. Laser can be produced in doped fiber core. Because of large geometrical size and numerical aperture (NA) of inner clad, high pump power can be coupled into the double clad fiber so that high output laser power can be yielded.
In this paper, Yb~(3+) doped double clad fiber laser is studied in theory. The main work is as follows:
The first chapter has introduced the backgrounds of the fiber laser which include the history of the fiber laser; The development of the researches, main applications and the development way in the field of double-clad fiber laser worldwide are summarized and the significance of this research subject is pointed out.
The basic theory and the structure of double-clad fiber laser is researched. According as the constitute of double-clad fiber laser, we discuss the structure and characteristic of double-clad fiber, the cavity and the coupling technology.
The principle of Yb~(3+)-DCFLs are discussed. The energy level, spectrum characteristics and characteristics of stimulated emission of Yb~(3+) are detailed, which indicate its superiority to emit laser. Power govern equations of DCFL are constituted.
According to rate equations of fiber laser, the output characteristic of Yb~(3+)-DCFL was numerically studied with MATLAB. The power distributions of pump and laser, the effects of output coupling reflectivity, scattering loss coefficient and wavelength of pump light on the characteristics of fiber laser are studied by shooting method .The results can help us design double clad fiber laser.
本论文对所提出的一种掺Yb~(3+)双包层光纤激光器理论模型进行了公式演算与数值分析:
1.参阅了大量的最新文献,简要的归纳了光纤激光器的研究背景,描述了掺Yb~(3+)双包层光纤激光器当今国内外的最新研究进展。指出了光纤激光器课题研究的重要意义。
2.探讨了掺Yb~(3+)双包层光纤激光器的各个结构部分的工作机理,包括双包层光纤的结构与特点;谐振腔结构;泵浦耦合技术。为掺镱双包层光纤激光器理论模型的提出打下了良好的铺垫。
3.分析了Yb~(3+)的能级结构,光谱特性和Yb~(3+)离子受激辐射的特点。建立了双包层光纤激光器的功率传输方程,以此为基础,提出一种用光纤光栅作为F-P腔掺Yb~(3+)双包层光纤激光器的理论模型,针对此模型进行了理论分析,给出了数值计算的方法。特别阐述了采用的打靶法在设定此微分方程组边界条件的初值方法。为用MATLAB进行数值分析打下了良好的铺垫。
4.根据双包层光纤激光器的速率方程,利用上述所阐述的打靶法,用MATLAB进行了数值模拟,数值分析了掺Yb~(3+)双包层光纤激光器中激光和泵浦光的功率分布,分析了后腔镜反射率、泵浦光波长、散射损耗系数、掺杂浓度等对光纤激光器特性的影响;随后对作为增益光纤的双包层光纤吸收特性进行了详尽的公式演算与分析;对作为腔镜的光纤光栅特性进行了系统的理论推导分析。得出的理论分析结论为设计掺Yb~(3+)双包层光纤激光器提供了依据,为实验室的后续实验提供了参考与指导。
Compared with traditional solid state laser, fiber laser has many merits, such as high efficiency good beam quality compact and good heat dissipation. Yb~(3+) doped fiber laser has been attracted greatly because of simple energy structure, no excited state absorption, and wide tunable range. Different from general fiber, double clad fiber has an inner clad at the outside of fiber core. In double clad fiber laser, Pump light propagates in inner clad and is absorbed by doped fiber core. Laser can be produced in doped fiber core. Because of large geometrical size and numerical aperture (NA) of inner clad, high pump power can be coupled into the double clad fiber so that high output laser power can be yielded.
In this paper, Yb~(3+) doped double clad fiber laser is studied in theory. The main work is as follows:
The first chapter has introduced the backgrounds of the fiber laser which include the history of the fiber laser; The development of the researches, main applications and the development way in the field of double-clad fiber laser worldwide are summarized and the significance of this research subject is pointed out.
The basic theory and the structure of double-clad fiber laser is researched. According as the constitute of double-clad fiber laser, we discuss the structure and characteristic of double-clad fiber, the cavity and the coupling technology.
The principle of Yb~(3+)-DCFLs are discussed. The energy level, spectrum characteristics and characteristics of stimulated emission of Yb~(3+) are detailed, which indicate its superiority to emit laser. Power govern equations of DCFL are constituted.
According to rate equations of fiber laser, the output characteristic of Yb~(3+)-DCFL was numerically studied with MATLAB. The power distributions of pump and laser, the effects of output coupling reflectivity, scattering loss coefficient and wavelength of pump light on the characteristics of fiber laser are studied by shooting method .The results can help us design double clad fiber laser.
引文
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