Harmonic expressions for the eigen mode fields of step and graded index fibers
For clarifying the mode field characteristics of step and graded index fibers, the Helmholtzs equation and local planar wave approximation are engaged, a novel idea that the eigenfunction of the traveling wave field in radial grade index dielectric is similar to positive or negative half order Hankel function is advanced. Then, the eigenfunction of core layer of graded index fiber is similar to the combination of half order Bessel function and half order Neumann function, the eigenfunction of cladding layer of graded index fiber is similar to the first kind half order imaginary parameter Hankel function, are suggested. The phase shift for total reflection effect at the turning point of grade fiber is proposed. The angular phase shift pi for the ray propagating along the fiber circumference is given. The eigen equation of new improved WKB method for analysing the mode field characteristics of graded index fiber is presented. Moreover, the eigen equation of new improved WKB method for analyzing the mode field characteristics of graded index fiber is held good for analysing the mode field characteristics of step index fiber too, it indicates that, the eigen equation of new improved WKB method is of universal significance.
Fuyuan Guo Lianhuang Li Hua Zheng Yi Wang Tiangui Dai Jinrui Ke
Key Laboratory of Optoelectronic Science and Technology for Medicine of Ministry of Education, Fujian Provincial Key Laboratory of Photonic Technology, Institute of Laser and Optoelectronics Technology, Fujian Normal University, 32 Shangsan Road,Cangshan, Fuzhou 350007, P. R. China
国际会议
3rd International Photonics & OptoElectronics Meetings(第三届国际光子与光电子学会议 POEM 2010)
武汉
英文
1-8
2010-11-03（万方平台首次上网日期，不代表论文的发表时间）