Nonparaxial Dark-Hollow Gaussian Beams
GAO Zeng-Hui1,2 , LÜ Bai-Da2
1 Institute of Optoelectronic Information, Yibin University, Yibin 644000
2 Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064
Nonparaxial Dark-Hollow Gaussian Beams
GAO Zeng-Hui1,2 ;LÜ Bai-Da2
1 Institute of Optoelectronic Information, Yibin University, Yibin 644000
2 Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064
关键词 :
41.85.Ev ,
42.25.Bs ,
42.60.Jf
Abstract : The concept of nonparaxial dark-hollow Gaussian beams (DHGBs) is introduced. By using the Rayleigh--Sommerfeld diffraction integral, the analytical propagation equation of DHGBs in free space is derived. The on-axis intensity, far-field equation and, in particular, paraxial expressions are given and treated as special cases of our result. It is shown that the parameter f =1/kw0 with k being the wave number and w0 being the waist width determines the nonparaxiality of DHGBs. However, the parameter range, within which the paraxial approach is valid, depends on the propagation distance. The beam order affects the beam profile and position of maximum on-axis intensity.
Key words :
41.85.Ev
42.25.Bs
42.60.Jf
出版日期: 2006-01-01
:
41.85.Ev
42.25.Bs
(Wave propagation, transmission and absorption)
42.60.Jf
(Beam characteristics: profile, intensity, and power; spatial pattern formation)
[1]
WANG Zhi-Yong;XIONG Cai-Dong. Superluminal Behaviour of Modified Bessel Waves [J]. 中国物理快报, 2006, 23(9): 2422-2425.
[2]
KANG Xiao-Ping;Lü Bai-Da. Characterization of Nonparaxial Truncated Cosine-Gaussian Beams and the Beam Quality in the Far Field [J]. 中国物理快报, 2006, 23(9): 2430-2433.
[3]
GAO Zeng-Hui;Lü Bai-Da. Vectorial Nonparaxial Four-Petal Gaussian Beams and Their Propagation in Free Space [J]. 中国物理快报, 2006, 23(8): 2070-2073.
[4]
XU Xing-Sheng;CHEN Hong-Da. Transient Emission of Three-Level Atoms in a Photonic Crystal with a Pseudogap [J]. 中国物理快报, 2006, 23(7): 1816-1819.
[5]
ZHANG Hong-Jun;;GONG Shang-Qing;NIU Yue-Ping;LI Ru Xin;XU Zhi-Zhan. Negative Refractive Index in a Four-Level Atomic System [J]. 中国物理快报, 2006, 23(7): 1769-1772.
[6]
ZHAO Guo-Zhong;TIAN Yan;SUN Hong-Qi;ZHANG Cun-Lin;YANG Guo-Zhen. Multiband Terahertz Photonic Band Gaps of Subwavelength Planar Fractals [J]. 中国物理快报, 2006, 23(6): 1456-1458.
[7]
MAO Wei;ZHANG Shu-Lian;ZHANG Lian-Qing;ZHU Jun;LI Yan. Optical Feedback Characteristics in He--Ne Dual Frequency Lasers [J]. 中国物理快报, 2006, 23(5): 1188-1191.
[8]
ZHOU Guo-Quan;CHEN Liang;NI Yong-Zhou. Vectorial Structure of Non-Paraxial Linearly Polarized Gaussian Beam in Far Field [J]. 中国物理快报, 2006, 23(5): 1180-1183.
[9]
XIE Yong-Jie;HUO Yu-Kun;KONG Qing;WANG Ping-Xiao;CHEN Zhao;LIU Jing-Ru. High-Order Temporal Corrected Fields of Ultra-Short Laser Pulses and Laser-Driven Acceleration [J]. 中国物理快报, 2006, 23(3): 599-602.
[10]
TAN Yi-Dong;ZHANG Shu-Lian. Intensity Tuning in Single Mode Microchip Nd:YAG Laser with External Cavity [J]. 中国物理快报, 2006, 23(12): 3271-3274.
[11]
TANG Jun-Hua;WANG Yun-Cai. Pulse-Width Jitter Measurement for Laser Diode Pulses [J]. 中国物理快报, 2006, 23(10): 2756-2758.
[12]
ZHOU Yong-Heng;JIANG Hong-Bing;GONG Qi-Huang. The Carrier--Envelope Phase of Focused Few-Cycle Laser Pulses [J]. 中国物理快报, 2006, 23(1): 110-112.
[13]
XU Jian-Qiu;YE Xin;FANG Tao. Transverse Mode Formation in Longitudinally Pumped Miniature Slab Lasers [J]. 中国物理快报, 2006, 23(1): 132-134.
[14]
ZHANG Xue-Ru;OUYANG Qiu-Yun;WANG Yu-Xiao;JIANG Li;SONG Ying-Lin;LI Yu-Liang;WEI Tai-Huei. Nonresonant Saturation Absorption in Electrostatic Self-Assembly Films Containing Methanofullerene [J]. 中国物理快报, 2005, 22(8): 1898-1901.
[15]
SUI Zhan;ZHAO Run-Chang;ZHU He-Yuan;ZHANG Xiao-Min;ZHENG Wan-Guo;QIAN Lie-Jia. Beam Shaping by Using the Liquid Crystal Panel of a Commercial Display Device [J]. 中国物理快报, 2005, 22(7): 1656-1659.