摘要Taking the off-axis astigmatic Gaussian beam combination as an example, the beam-combination concept is extended to the nonparaxial regime. The closed-form propagation expressions for coherent and incoherent combinations of nonparaxial off-axis astigmatic Gaussian beams with rectangular geometry are derived and illustrated with numerical examples. It is shown that the intensity distributions of the resulting beam depend on the combination scheme and beam parameters in general, and in the paraxial approximation (i.e., for the small f-parameter) our results reduce to the paraxial ones.
Abstract：Taking the off-axis astigmatic Gaussian beam combination as an example, the beam-combination concept is extended to the nonparaxial regime. The closed-form propagation expressions for coherent and incoherent combinations of nonparaxial off-axis astigmatic Gaussian beams with rectangular geometry are derived and illustrated with numerical examples. It is shown that the intensity distributions of the resulting beam depend on the combination scheme and beam parameters in general, and in the paraxial approximation (i.e., for the small f-parameter) our results reduce to the paraxial ones.
[1] Brunel M, Floch A L, Bretenaker F, Marty J and Molva E 1998 Appl. Opt. 37 2402 [2] Strohschein J D, Seguin H J J and Capjack C E 1998 Appl. Opt. 37 1045 [3] Baker H J, Hall D R, Homby A M, Morley R J, Taghizadch M R andYelden E F 1996 IEEE J. Quantum Electron. 32 400 [4] Abramski K M, Colley A D, Baker H J and Hall D R 1996 IEEE J.Quantum Electron. 32 340 [5] Bilida W D, Strohschein J D and Seguin H J J 1997 SPIE 2987 13 [6] Xiao R, Hou J, Jiang Z F and Liu M 2006 Acta Phys. Sin. 55 6464 (in Chinese) [7] Lu B D and Ma H 1999 Opt. Commun. 171 185 [8] Lu B D and Ma H 2000 Opt. Commun. 178 395 [9] Nemto S 1994 Appl. Opt. 33 3687 [10] Zeng X, Feng Z and An Y 2004 Appl. Opt. 43 5168 [11] Gao Z H and Lu B D 2006 Chin. Phys. Lett. 23 106 [12] Luneberg R K 1966 Mathematical Theory of Optics (Berkeley:California University Press) [13] Nemto S 1990 Appl. Opt. 29 1940
2007, Vol. 24 
