• Chinese Optics Letters
  • Vol. 21, Issue 10, 102601 (2023)
Rijian Chen, Yile Shi, Ning Gong, Yefeng Liu, and Zhijun Ren*
Author Affiliations
  • Key Laboratory of Optical Information Detecting and Display Technology, Zhejiang Normal University, Jinhua 321004, China
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    DOI: 10.3788/COL202321.102601 Cite this Article Set citation alerts
    Rijian Chen, Yile Shi, Ning Gong, Yefeng Liu, Zhijun Ren. Generation of shaping nondiffracting structured caustic beams on the basis of stationary phase principle[J]. Chinese Optics Letters, 2023, 21(10): 102601 Copy Citation Text show less
    Shaping nondiffracting structured caustic beams. (a) Astroid; (b) deltoid; (c) cardioid; (d) pentagram caustics. (a1)–(d1) Caustic lines; (a2)–(d2) phase distributions; (a3)–(d3) ray pictures; (a4)–(d4) simulated transverse intensities of the astroid, deltoid, cardioid, and pentagram caustics, respectively.
    Fig. 1. Shaping nondiffracting structured caustic beams. (a) Astroid; (b) deltoid; (c) cardioid; (d) pentagram caustics. (a1)–(d1) Caustic lines; (a2)–(d2) phase distributions; (a3)–(d3) ray pictures; (a4)–(d4) simulated transverse intensities of the astroid, deltoid, cardioid, and pentagram caustics, respectively.
    Theoretical simulations of astroid caustic with different q. (a) q = 0; (b) q = 5; (c) q = 10; (d) q = 15.
    Fig. 2. Theoretical simulations of astroid caustic with different q. (a) q = 0; (b) q = 5; (c) q = 10; (d) q = 15.
    Experimental system of generating caustic beams.
    Fig. 3. Experimental system of generating caustic beams.
    Experimental recorded graphs of nondiffracting caustic beams with the same parameters as that in Fig. 1.
    Fig. 4. Experimental recorded graphs of nondiffracting caustic beams with the same parameters as that in Fig. 1.
    Experimental recorded graphs of astroid caustic beams with the same parameters as that in Fig. 2.
    Fig. 5. Experimental recorded graphs of astroid caustic beams with the same parameters as that in Fig. 2.
    Astroid caustic beams at different propagation distances after the axicon. (a1)–(d1) Simulation intensity graphs; (a2)–(d2) experimental recorded intensity graphs. Propagation distances: (a1), (a2) z = 50 cm; (b1), (b2) z = 60 cm; (c1), (c2) z = 70 cm; (d1), (d2) z = 80 cm.
    Fig. 6. Astroid caustic beams at different propagation distances after the axicon. (a1)–(d1) Simulation intensity graphs; (a2)–(d2) experimental recorded intensity graphs. Propagation distances: (a1), (a2) z = 50 cm; (b1), (b2) z = 60 cm; (c1), (c2) z = 70 cm; (d1), (d2) z = 80 cm.
    Type of Curvex(φ)y(φ)
    Deltoid1/k [−9q cos(3φ)cos(φ)−3q sin(3φ)sin(φ)]1/k [−9q cos(3φ)sin(φ)+3q sin(3φ)cos(φ)]
    Cardioid1/k [2q cos(φ)−q cos(2φ)]1/k [2q sin(φ)−q sin(2φ)]
    Pentagram1/k [−25 q sin (5φ) cos (φ) + 5q cos ( 5 φ) sin (φ)]1/k [−25q sin (5φ) sin (φ)−5 q cos (5φ) cos (φ)]
    Table 1. Parametric Expressions for Different Curves
    Rijian Chen, Yile Shi, Ning Gong, Yefeng Liu, Zhijun Ren. Generation of shaping nondiffracting structured caustic beams on the basis of stationary phase principle[J]. Chinese Optics Letters, 2023, 21(10): 102601
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