|
|
Diffraction of Lorentz-Gauss beam in uniaxial
crystals: orthogonal to optical axis |
Jia LI,Yanru CHEN,Shixue XU,Yongqing WANG,Muchun ZHOU,Qi ZHAO,Yu XIN,Feinan CHEN, |
Department of Optical
Engineering, Nanjing University of Science and Technology, Nanjing
210094, China; |
|
|
Abstract Based on the diffraction theory of beams in uniaxial crystals, diffraction properties of a Lorentz-Gauss beam in uniaxial crystals orthogonal to the optical axis are derived in analytical forms. Diffraction fields, intensity distributions and effects of beam parameters are investigated by numerical examples, respectively. Results show that, upon propagation, initial field components and intensity distributions of Lorentz-Gauss beams would deteriorate due to effects of anisotropic media. When the Lorentz-Gauss beam diffracts into the far field, its intensity distribution would convert into a four-petal profile. Beam parameters wx and wy are shown to have a strong influence on intensity distributions. By selecting different values of them, profiles of Lorentz-Gauss beams would be different upon propagation.
|
Issue Date: 05 September 2010
|
|
|
Casey H C, Panish M B. Heterostructure Lasers. New York: Academic Press, 1978
|
|
Dumke W P. The angular beam divergence in double-heterojunction lasers with very thin active regions. IEEE Journal of Quantum Electronics, 1975, QE-11(7): 400–402
doi: 10.1109/JQE.1975.1068627
|
|
Naqwi A, Durst F. Focusing of diode laser beams: a simple mathematical model. Applied Optics, 1990, 29(12): 1780–1785
doi: 10.1364/AO.29.001780
|
|
Joyce W B, DeLoach B C. Alignment of Gaussian beams. Applied Optics, 1984, 23(23): 4187–4196
doi: 10.1364/AO.23.004187
|
|
Gawhary O E, Severini S. Lorentz beams and symmetry properties in paraxial optics. Journal of Optics A: Pure and Applied Optics, 2006, 8(5): 409–414
doi: 10.1088/1464-4258/8/5/007
|
|
Gawhary O E, Severini S. Lorentz beam as a basis for a new class of rectangular symmetric optical fields. Optics Communications, 2007, 269(2): 274–284
doi: 10.1016/j.optcom.2006.08.007
|
|
Yang J, Chen T, Ding G, Yuan X. Focusing of diode laser beams: a partially coherent Lorentz model. Proceedings of SPIE, 2007, 6824: 68240A
doi: 10.1117/12.757962
|
|
Zhou G. Nonparaxial propagation of a Lorentz-Gauss beam. Journal of the Optical Society of America B, 2009, 26(1): 141–147
doi: 10.1364/JOSAB.26.000141
|
|
Zhou G. Analytical vectorial structure of a Lorentz-Gauss beamin the far field. Applied Physics B: Lasersand Optics, 2008, 93(4): 891–899
doi: 10.1007/s00340-008-3254-5
|
|
Zhou G. Focal shift of focused truncated Lorentz-Gauss beam. Journal of the Optical Society of America A, 2008, 25(10): 2594–2599
doi: 10.1364/JOSAA.25.002594
|
|
Zhou G. Fractional Fourier transform of Lorentz-Gauss beams. Journal of the Optical Society of America A, 2009, 26(2): 350–355
doi: 10.1364/JOSAA.26.000350
|
|
Zhou G, Chu X. Average intensity and spreading of a Lorentz-Gauss beam in turbulent atmosphere. Optics Express, 2010, 18(2): 726–731
doi: 10.1364/OE.18.000726
|
|
Zhou G. Propagation of a partially coherent Lorentz-Gauss beamthrough a paraxial ABCD optical system. Optics Express, 2010, 18(5): 4637–4643
doi: 10.1364/OE.18.004637
|
|
Born M, Wolf E. Principles of Optics. Oxford: Pergamon Press, 1999
|
|
Ciattoni A, Palma C. Optical propagation in uniaxial crystals orthogonal to the optical axis: paraxial theoryand beyond. Journal of the Optical Societyof America A, 2003, 20(11): 2163–2171
doi: 10.1364/JOSAA.20.002163
|
|
Ciattoni A, Palma C. Nondiffracting beams in uniaxial media propagating orthogonally to the optical axis. Optics Communications, 2003, 224(4–6): 175–183
doi: 10.1016/S0030-4018(03)01759-0
|
|
Ciattoni A, Palma C. Anisotropic beam spreading in uniaxial crystals. Optics Communications, 2004, 231(1–6): 79–92
|
|
Liu D, Zhou Z. Various dark hollow beams propagating in uniaxial crystals orthogonal to the opticalaxis. Journal of Optics A: Pure and AppliedOptics, 2008, 10(9): 095005
doi: 10.1088/1464-4258/10/9/095005
|
|
Liu D, Zhou Z. Propagation of partially polarized, partially coherent beams in uniaxial crystalsorthogonal to the optical axis. European Physical Journal D, 2009, 54(1): 95–101
doi: 10.1140/epjd/e2009-00166-9
|
|
Liu D, Zhou Z. Propagation of partially coherent flat-topped beams in uniaxial crystals orthogonalto the optical axis. Journal of the Optical Society of America A, 2009, 26(4): 924–930
doi: 10.1364/JOSAA.26.000924
|
|
Tang B. Hermite-cosine-Gaussian beams propagating in uniaxialcrystals orthogonal to the optical axis. Journal of the Optical Society of America A, 2009, 26(12): 2480–2487
doi: 10.1364/JOSAA.26.002480
|
|
Ciattoni A, Cincotti G, Palma C. Ordinary and extraordinarybeams characterization in uniaxially anisotropic crystals. Optics Communications, 2001, 195(1–4): 55–61
doi: 10.1016/S0030-4018(01)01335-9
|
|
Ciattoni A, Crosignani B, Di Porto P. Vectorial theory of propagationin uniaxially anisotropic media. Journal of the Optical Society of America A, 2001, 18(7): 1656–1661
doi: 10.1364/JOSAA.18.001656
|
|
Ciattoni A, Cincotti G, Provenziani D, Palma C. Paraxial propagation along the optical axis of a uniaxialmedium. Physical Review E, 2002, 66(3): 036614
doi: 10.1103/PhysRevE.66.036614
|
|
Ciattoni A, Cincotti G, Palma C. Propagation of cylindricallysymmetric fields in uniaxial crystals. Journal of the Optical Society of America A, 2002, 19(4): 792–796
doi: 10.1364/JOSAA.19.000792
|
|
Cincotti G, Ciattoni A, Palma C. Laguerre-Gauss and Bessel-Gaussbeams in uniaxial crystals. Journal of the Optical Society of America A, 2002, 19(8): 1680–1688
doi: 10.1364/JOSAA.19.001680
|
|
Tang B, Jin Y, Jiang M, Jiang X. Diffraction properties of four-petal Gaussian beams in uniaxially anisotropiccrystal. Chinese Optics Letters, 2008, 6(10): 779–781
doi: 10.3788/COL20080610.0779
|
|
Schmidt P P. A method for the convolution of lineshapes which involvethe Lorentz distribution. Journal of Physics B, 1976, 9(13): 2331–2339
doi: 10.1088/0022-3700/9/13/018
|
|
Abramowitz M, Stegun I A. Handbook of Mathematical Functions. New York: Dover Publication, 1972
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|