Arturo Barcelo-Chong, Brian Estrada-Portillo, Arturo Canales-Benavides, Servando Lopez-Aguayo, "Asymmetric Mathieu beams," Chin. Opt. Lett. 16, 122601 (2018)

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- Chinese Optics Letters
- Vol. 16, Issue 12, 122601 (2018)

Fig. 1. Intensity of AM beams for the case of a fourth-order q = 1 and angular phase shift β parameters of (a) π / 4 , (c) π / 2 , and (e) 2 π / 3 . A third-order AM beam with q = 2 and β parameters of (b) π / 4 , (d) π / 2 , and (f) 2 π / 3 .

Fig. 2. Phase distribution of AM beams, where (a), (c), and (e) are fourth order with ellipticity parameter q = 1 and angular phase shift given by β parameters of π / 4 , π / 2 , and 2 π / 3 , respectively. (b), (d), and (f) correspond to third-order AM beams with q = 2 and β parameters of π / 4 , π / 2 , and 2 π / 3 , respectively.

Fig. 3. Intensity of AM beams. (a) q = 0.01 , (b) q = 2 , (c) q = 5 , and (d) q = 15 . In all cases, from top to bottom, α = 0 , α = 0.1 , α = 0.5 , and α = 1 .

Fig. 4. Intensity of asymmetric Gaussian–Mathieu beams with the following parameters: (a) q = 0.01 , (b) q = 2 , (c) q = 5 , and (d) q = 15 . In all cases, from top to bottom, α = 0 , α = 0.1 , α = 0.5 , and α = 1 .

Fig. 5. Experimental setup. From left to right: He–Ne laser at 633 nm, 12 mW; BE, beam expander, 10×; SLM, spatial light modulator, LC2002; L1 and L2, lenses; D, diaphragm; CCD, Thorlabs CCD.

Fig. 6. Experimental fourth-order AM beam obtained with parameters (a) α = 1 , (b) α = 1.67 , (c) α = 5 , (d) α = 1.14 , (e) α = 1.19 , and (f) α = 1.25 . The size of the transverse display area is 5 mm × 3 mm . (g) Propagation of the AM beam in the x – z plane.

Fig. 7. Power of asymmetric Gaussian–Mathieu beams as a function of the α parameter at different ellipticities given by the q parameter.

Fig. 8. OAM of asymmetric Gaussian–Mathieu beams as a function of the α parameter at different ellipticities given by the q parameter.

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