Research progress of the partially coherent beams with special correlation functions

Abstract

Abstract: The propagation properties of partially coherent beam can be controlled by modulating the spatial correlation structure when the beam propagates in turbulent atmosphere. Based on the basic theories of partially coherent beam with special correlation functions propagating in turbulent atmosphere, the methods of generating partially coherent beam with special correlation functions and measuring correlation functions are introduced, respectively, and the propagation properties of the beam are outlined, which is of significance for the laser propagation in turbulent atmosphere.

Key words: atmospheric optics, partially coherent beam with special correlation functions, spatial correlation structure, propagation properties

CLC Number:

TN012

ZHOU Zhenglan, ZHOU Yuan, XU Huafeng, QU Jun∗. Research progress of the partially coherent beams with special correlation functions[J]. Chinese Journal of Quantum Electronics, 2020, 37(5): 615-632.

References 20

[1]	Kaushal H, Jain V K, Kar S. Free Space Optical Communication [M]. Springer-Verlag, 2017: 1-27.
[2]	Pang K, Song H Q, Zhao Z, et al. 400 Gbit/s QPSK free-space optical communication link based on four-fold multiplexing of
	Hermite-Gaussian or Laguerre-Gaussian modes by varying both modal indices [J]. Optics Letters, 2018, 43(16): 3889-3892.
[3]	Laurent B, Camus J P, Sein E. SILEX: The first European optical space communications system [J]. Acta Astronautica, 1989,
22	: 299-303.
[4]	Chen Yahong, Cai Yangjian. Laser coherence modulation and its applications [J]. Acta Optica Sinsica (光学学报), 2016,
36	(10): 1-17 (in Chinese).
[5]	Zernike F. The concept of degree of coherence and its application to optical problems [J]. Physica, 1938, 5(8): 785-795.
[6]	Wolf E. Optics in terms of observable quantities [J]. IL Nuovo Cimento, 1954, 12(6): 884-888.
[7]	Wolf E. A macroscopic theory of interference and diffraction of light from finite sources II. Fields with a spectral range
	of arbitrary width [J]. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1955,
23	0(1181): 246-265.
[8]	Kon A I, Tatarskii V I. On the theory of the propagation of partially coherent light beams in a turbulent atmosphere [J].
	Radiophysics and Quantum Electronics, 1972, 15: 1187-1192.
[9]	Belen’kii M S, Kon A I, Mironov V L. Turbulent distortions of the spatial coherence of a laser beam [J]. Soviet Journal of
	Quantum Electronics, 1977, 7(3): 287-290.
[10]	Salem M, Shirai T, Dogariu A, et al. Long-distance propagation of partially coherent beams through atmospheric turbulence
[J]	Optics Communications, 2003, 216: 261-265.
[11]	Li H, Cai Y J. Analytical formula for a circular flattened Gaussian beam propagating through a misaligned paraxial ABCD
	optical system [J]. Physics Letters A, 2006, 2(360): 394-399.
[12]	Gbur G. Partially coherent beam propagation in atmospheric turbulence [J]. Journal of the Optical Society of America A, 2014,
31	(9): 2038-2045.
[13]	Qian Xianmei, ZhuWenyue, Rao Ruizhong. Research progress on partially coherent beam propagation in turbulent atmosphere
[J]	Journal of Atmosphere and Environment Optics (大气与环境光学学报) 2008, 3(2): 81-91 (in Chinese).
[14]	Ricklin J C, Davidson F M. Atmospheric optical communication with a Gaussian Schell beam [J]. Journal of the Optical
	Society of America A, 2003, 20(5): 856-866.
[15]	Gori F, Guattari G. Bessel-Gauss beams [J]. Optics Communications, 1987, 64(4): 311-316.
[16]	Gori F, Santarsiero M. Devising genuine spatial correlation functions [J]. Optics Letters, 2007, 32(24): 3531-3533.
[17]	Gori F, Ramirez-Sanchez V, Santarsiero M, et al. On genuine cross-spectral density matrices [J]. Journal of Optics A: Pure
	and Applied Optics, 2009, 11(8): 085706.
[18]	Cui S W, Chen Z Y, Zhang L, et al. Experimental generation of nonuniformly correlated partially coherent light beams [J].
	Optics Letters, 2013, 38(22): 4821-4824.
[19]	Wu D, Wang F, Cai Y J. High-order nonuniformly correlated beams [J]. Optics & Laser Technology, 2018, 99: 230-237.
[20]	Luo M L, Zhao D M. Simultaneous trapping of two types of particles by using a focused partially coherent cosine-Gaussiancorrelated
	Schell-model beam [J]. Laser Physics, 2014, 24(6): 1-6.
[21]	Chen Y H, Gu J X, Wang F, et al. Self-splitting properties of a Hermite-Gaussian correlated Schell-model beam [J]. Physical
	Review A, 2015, 91(1): 1-12.
[22]	Mei Z, Korotkova O, Shchepakina E. Electromagnetic multi-Gaussian Schell-model beams [J]. Journal of Optics, 2012, 15(2):
02	5705.
[23]	Yu J Y, Chen Y H, Liu L, et al. Splitting and combining properties of an elegant Hermite-Gaussian correlated Schell-model
	beam in Kolmogorov and non-Kolmogorov turbulence [J]. Optics Express, 2015, 23(10): 13467-13481.
[24]	Chen Y H, Wang F, Yu J Y, et al. Vector Hermite-Gaussian correlated Schell-model beam [J]. Optics Express, 2016, 24(14):
15	232-15250.
[25]	Chen Y H, Wang F, Cai Y J. Recent progress in modulating the spatial correlation functions of partially coherent beams [J].
	Progress in Physics, 2015, 35(2): 51-73.
[26]	Wolf E. Introduction to The Theory of Coherence and Polarization of Light [M]. Cambridge University Press, 2007: 1-222.
[27]	Mei Z R, Korotkova O. Random sources generating ring-shaped beams [J]. Optics Letters, 2013, 38(2): 91-93.
[28]	Toselli I, Andrews L, Phillips R, et al. Free-space optical system performance for laser beam propagation through non-
	Kolmogorov turbulence [J]. Optics Engineering, 2008, 47(2): 026003-026010.
[29]	Zhou Y, Yuan Y S, Qu J, et al. Propagation properties of Laguerre-Gaussian correlated Schell-model beam in nonKolmogorov
	turbulence [J]. Optics Express, 2018, 24(10): 20682-20693.
[30]	Liu X Y, Zhao D M. Electromagnetic random source for circular optical frame and its statistical properties [J]. Optics Express,
20	15, 23(3): 16702-16714.
[31]	Mei Z R. Light sources generating self-splitting beams and their propagation in non-Kolmogorov turbulence [J]. Optics Express,
20	14, 22(11): 13029-13040.
[32]	Xu H F, Wu H W, Chen H J, et al. Propagation properties of rectangular Laguerre-Gaussian-correlated Schell-model beams in
	atmospheric turbulence [J]. Journal of Modern Optics, 2019, 66(2): 1-10.
[33]	Wang F, Li J, Piedra M, et al. Propagation dynamics of partially coherent crescent-like optical beams in free space and turbulent
	atmosphere [J]. Optics Express, 2017, 25(21): 26055-26066.
[34]	Zhou Z L, Yuan Y S, Shu J, et al. Beam wander of a partially coherent crescent-like beam in non-Kolmogorov turbulence [J].
	Laser Technology, 2019, 43(4): 143-148.
[35]	Yu J Y, Wang F, Liu L, et al. Propagation properties of Hermite non-uniformly correlated beams in turbulence [J]. Optics
	Express, 2018, 26(13): 8417-8430.
[36]	Wang F, Cai Y J, Dong Y M, et al. Experimental generation of a radially polarized beam with controllable spatial coherence
[J]	Applied Physics Letters, 2012, 100(5): 1-4.
[37]	Zhao C L, Yuan D, Wang Y M, et al. Experimental generation of a partially coherent Laguerre-Gaussian beam [J]. Applied
	Physics B, 2012, 109(2): 345-349.
[38]	Ostrovsky A, Hernandez G E. Modulation of spatial coherence of optical field by means of liquid crystal light modulator [J].
	Revista mexicana de fisica, 2015, 51(5): 442-446.
[39]	Wang F, Liu X L, Yuan Y S, et al. Experimental generation of partially coherent beams with different complex degrees of
	coherence [J]. Optics Letters, 2013, 38(11): 1814-1816.
[40]	Chen Y H, Yu J Y, Yuan Y S, et al. Theoretical and experimental studies of a rectangular Laguerre-Gaussian-correlated
	Schell-model beam [J]. Applied Physics B, 2016, 122(2): 1-11.
[41]	Cai Y J, Chen Y H, Wang F. Generation and propagation of partially coherent beams with nonconventional correlation functions:
	A review [invited] [J]. Journal of the Optical Society of America A, 2014, 31(9): 2083-2096.
[42]	Voelz D, Xiao X, Korotkova O. Numerical modeling of Schell-model beams with arbitrary far-field patterns [J]. Optics Letters,
20	15, 40(3): 352-355.
[43]	Hyde M W, Basu S, Voelz D G, et al. Experimentally generating any desired partially coherent Schell-model source using
	phase-only control [J]. Journal of Applied Physics, 2015, 118(9): 1-10.
[44]	Hyde M W, Basu S, Voelz D G, et al. Generating partially coherent Schell-model sources using a modified phase screen
	approach [J]. Optical Engineering, 2015, 54(12): 1-5.
[45]	Hyde M W, Basu S, Xiao X, et al. Producing any desired far-field mean irradiance pattern using a partially-coherent Schellmodel
	source [J]. Journal of Optics, 2015, 17(5): 1-6.
[46]	Hyde M W, Basu S, Voelz D G, et al. Generation of vector partially coherent optical sources using phase-only spatial light
	modulators [J]. Physical Review Applied, 2016, 6(6): 1-12.
[47]	Hyde M W, Bose-Pillai S R, Wood R A. Synthesis of non-uniformly correlated partially coherent sources using a deformable
	mirror [J]. Applied Physics Letters, 2017, 111(10): 1-5.
[48]	Chen X, Li J, Rafsanjani S, et al. Synthesis of Im-Bessel correlated beams via coherent modes [J]. Optics Letters, 2018, 43(15):
35	90-3593.
[49]	Wang F, Cai Y J. Experimental observation of coincidence fractional Fourier transform with a partially coherent beam [J].
	Optics Express, 2007, 24(7): 1937-1944.
[50]	Chen Y H, Wang F, Liu L, et al. Generation and propagation of a partially coherent vector beam with special correlation
	functions [J]. Physical Review A, 2014, 89(1): 1-11.
[51]	Liu X L, Wang F, Liu L, et al. Complex degree of coherence measurement for classical statistical fields [J]. Optics Letters,
20	17, 42(1): 77-80.