Shiyao Fu, Tonglu Wang, Shikun Zhang, Zheyuan Zhang, Yanwang Zhai, Chunqing Gao, "Non-probe compensation of optical vortices carrying orbital angular momentum," Photonics Res. 5, 251 (2017)

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- Photonics Research
- Vol. 5, Issue 3, 251 (2017)

Fig. 1. Concept of the GS-based non-probe pre-compensation of distorted optical vortices.

Fig. 2. Computing the pre-compensation phase mask C ( x , y ) based on GS algorithm. (a) Flow chart. (b) C ( x , y ) can be obtained through subtracting the iteration output φ ( x , y ) from the initial helical phase of the transmitted optical vortices S ( x , y ) .

Fig. 3. Experimental setup. Col., collimator; L, convex lens; CCD, infrared CCD camera; ID, iris diaphragm; PM, power meter.

Fig. 4. Observed intensity profiles of optical vortices. (a) No turbulence. (b) With turbulence r 0 = 1 mm . (c) With turbulence r 0 = 3 mm .

Fig. 5. Received power of diverse OAM channels with or without pre-compensation when | + 2 ⟩ is transmitted. (a) Case of strong turbulence with Fried parameter r 0 = 1 mm and d / r 0 = 3.46 . (b) Case of weak turbulence with Fried parameter r 0 = 3 mm and d / r 0 = 1.15 . The number of iterations of the GS algorithm is 100.

Fig. 6. Mode purity of vortex beams (| + 2 ⟩ , | + 3 ⟩ ) with and without compensation for various turbulence realizations (r 0 = 1 mm for | + 2 ⟩ , d / r 0 = 3.46 and | + 3 ⟩ , d / r 0 = 4 ; r 0 = 3 mm for | + 2 ⟩ , d / r 0 = 1.15 and | + 3 ⟩ , d / r 0 = 1.33 ). The number of iterations of the GS algorithm under all turbulence realizations is 100.

Fig. 7. Mode purities of a beam with topological charge l = 2 , as a function of number of iterations, at two turbulence values of different strength (Fried parameter r 0 = 1 mm and r 0 = 3 mm ).

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