Solving characteristic equation of orbital angular momentum modes in a ring fiber

Yixiao Zhu; Fan Zhang

doi:10.3788/COL201513.030501

Chinese Optics Letters, Volume. 13, Issue 3, 030501(2015)

Solving characteristic equation of orbital angular momentum modes in a ring fiber

Yixiao Zhu and Fan Zhang^*

Author Affiliations

State Key Laboratory of Advanced Optical Communication Systems and Networks, Peking University, Beijing 100871, China

show less

Figures & Tables(6)

Fig. 1. Cross sectional diagram of a ring fiber.

Download full size

View in Article

Fig. 2. Electric field distribution on the cross section for several modes; (a) TE01; (b) TM01; (c) EH11; (d) HE31.

Download full size

View in Article

Fig. 3. ERI difference between TE01 and HE21 as a function of the index difference and the wavelength.

Download full size

View in Article

Fig. 4. Normalized propagation constant b for HE11 as a function of the normalized frequency V and the average radius of the ring.

Download full size

View in Article

Fig. 5. Normalized propagation constant b of modes in a ring fiber as a function of the normalized frequency V with the average radius of the ring set as 3, 5, 7.5, and 10 μm.

Download full size

View in Article

Table 1. Comparison between Simulation Results and the Solution of Eq. (10)

View table

View in Article

Table 1. Comparison between Simulation Results and the Solution of Eq. (10)

Mode	Simulation Result	Eq. (10) Solution	Relative Error
${HE}_{11}$	1.467350	1.467352	$1.4 \times 10^{- 6}$
${TE}_{01}$	1.466638	1.466641	$2.0 \times 10^{- 6}$
${HE}_{21}$	1.466159	1.466162	$2.0 \times 10^{- 6}$
${TM}_{01}$	1.465566	1.465566	$< 10^{- 6}$
${HE}_{31}$	1.462827	1.462831	$2.7 \times 10^{- 6}$
${EH}_{11}$	1.462714	1.462715	$6.8 \times 10^{- 7}$
${HE}_{41}$	1.457518	1.457526	$5.5 \times 10^{- 6}$
${EH}_{21}$	1.457473	1.457475	$1.4 \times 10^{- 6}$
${EH}_{31}$	1.450510	1.450517	$4.8 \times 10^{- 6}$