[1] Dawson J W, Messerly M J, Heebner J E et al. Power scaling analysis of fiber lasers and amplifiers based on non-silica materials[J]. Proceedings of SPIE, 7686, 768611(2010).

[2] Mu X D, Meissner H, Lee H C et al. True crystalline fibers: double-clad LMA design concept of Tm∶YAG-core fiber and its mode simulation[J]. Proceedings of SPIE, 8237, 82373M(2012).

[3] Lin W P, Jiang N, Zhou T J et al. 1030 nm laser amplification of Yb∶YAG ceramic planar waveguide[J]. Chinese Journal of Lasers, 46, 0501002(2019).

[4] Okamoto K[M]. Fundamentals of optical waveguides, 29-31(2006).

[5] Chiang K S. Dual effective-index method for the analysis of rectangular dielectric waveguides[J]. Applied Optics, 25, 2169-2174(1986).

[6] Li J, Jiang N, Ge L et al. Research development and future prospect of optical waveguide laser ceramics[J]. Laser & Optoelectronics Progress, 55, 030001(2018).

[7] Tergabrielyan N, Fromzel V, Mu X D et al. Resonantly pumped single-mode channel waveguide Er∶YAG laser with nearly quantum defect limited efficiency[J]. Optics Letters, 38, 2431-2433(2013).

[8] Lin W P, Zhang L, Wang J T et al. Amplification properties of 1319 nm Nd∶YAG planar waveguide[J]. Laser & Optoelectronics Progress, 56, 011404(2019).

[9] Li D, Lee H C, Meissner S K et al. Laser performance and modeling of RE 3+∶YAG double-clad crystalline fiber waveguides[J]. Proceedings of SPIE, 1051, 105111Q(2018).

[10] Mu X D, Meissner S, Meissner H. Laser diode pumped high efficiency Yb∶YAG crystalline fiber waveguide lasers[J]. Proceedings of SPIE, 9342, 934209(2015).

[11] Tergabrielyan N, Fromzel V, Mu X D et al. High efficiency, resonantly diode pumped, double-clad, Er∶YAG-core, waveguide laser[J]. Optics Express, 20, 25554-25561(2012).

[12] Cheng D J, Hu X, Lei H et al. Design and experimental verification of near diffraction-limited output of a large core size Yb∶YAG crystalline waveguide laser[J]. Optics Communications, 451, 307-310(2019).

[13] Bhutta T, Mackenzie J, Shepherd D P et al. Spatial dopant profiles for transverse-mode selection in multimode waveguides[J]. Journal of the Optical Society of America B, 19, 1539-1543(2002).

[14] Marcatili E A J. Dielectric rectangular waveguide and directional coupler for integrated optics[J]. The Bell System Technical Journal, 48, 2071-2102(1969).

[15] Sodha M S, Ghatak A K. Inhomogeneous optical waveguides[M]. New York: Springer(1977).

[16] Fan T, Byer R. Modeling and CW operation of a quasi-three-level 946 nm Nd∶YAG laser[J]. IEEE Journal of Quantum Electronics, 23, 605-612(1987).

[17] Risk W P. Modeling of longitudinally pumped solid-state lasers exhibiting reabsorption losses[J]. Journal of the Optical Society of America B, 5, 1412-1423(1988).

[18] Wu T, Hui Y L, Yan Z et al. Zygo interferometer for the precious measurement of tiny refractive index change of two laser crystals[J]. Optics & Laser Technology, 89, 196-199(2017).

[19] Zou Y, Wu T, Li Z T et al. Bondability criterions of laser crystals[J]. Chinese Journal of Lasers, 43, 1001009(2016).