Propagating property of flat-topped multi-Gaussian beams passing through a misaligned optical system with two-lens and two-diaphragm
Hongbin SHEN, Gang LI, Han ZHANG, Wengang HU, Bing ZHOU, Bingqi LIU
Propagating property of flat-topped multi-Gaussian beams passing through a misaligned optical system with two-lens and two-diaphragm
The optical elements’ maladjustment is a potential threaten in optical systems, thus, the transmission feature of laser beams passing through a misaligned optical system is widely studied. By using approximate expansion of circle diaphragm and generalized Huygens-Fresnel diffraction formula, a universal analytic expression is deduced for the flat-topped multi-Gaussian beams passing through a misaligned optical system with two-lens and two-diaphragm. The study on the propagating property of fundamental-mode Gaussian beams and a flat-topped multi-Gaussian beam is carried out accordingly. The expansion of complex Gauss function of misaligned optical circle diaphragm is given, as well as a group of new parameter values of the expansion of complex Gauss function. By using the new parameter values, the influence of disadjust parameters on output intensity distribution is analyzed numerically. The result shows that the diaphragms’ offset can make the beams offset or covered, and the second diaphragm influences more; the angle deflection of diaphragms can make light beams compressed in the deflection direction, and the first diaphragm influences more; the offset of the first lens can weaken light intensity in the same direction of the lens offset, and the offset of the second lens can weaken light intensity in the opposite direction of the lens offset; the angle deflection of the first lens can make light beams move to the opposite direction, and the angle deflection of the second lens has no influence; when all the diaphragms and the lenses are disadjust, the angle deflection of the first lens has a vital influence to the output intensity distribution.
laser optics / flat-topped multi-Gaussian beams / misaligned optical system / circle diaphragms
[1] |
Wen J J, Breazeale M A. A diffraction beam field expressed as the superposition of Gaussian beams. Journal of the Acoustical Society of America, 1988, 83(5): 1752–1756
CrossRef
Google scholar
|
[2] |
Ding D, Liu X. Approximate description for Bessel, Bessel-Gauss, and Gaussian beams with finite aperture. Journal of the Optical Society of America A, 1999, 16(6): 1286–1293
CrossRef
Google scholar
|
[3] |
Lu B, Luo S. Approximate propagation equations of flattened Gaussian beams passing through a paraxial ABCD system with hard-edge aperture. Journal of Modern Optics, 2001, 48(15): 2169–2178
CrossRef
Google scholar
|
[4] |
Jiang H L, Zhao D M, Mei Z R. Propagation characteristics of the rectangular flattened Gaussian beams through circular apertured and misaligned optical systems. Optics Communications, 2006, 260(1): 1–7
CrossRef
Google scholar
|
[5] |
Chen J N. Propagation and transformation of flat-topped multi-Gaussian beams in a general nonsymmetrical apertured double-lens system. Journal of the Optical Society of America A, 2007, 24(1): 84–92
CrossRef
Google scholar
|
[6] |
Gori F. Flattened Gaussian beams. Optics Communications, 1994, 107(5-6): 335–341
CrossRef
Google scholar
|
[7] |
Tovar A A. Propagation of flat-topped multi-Gaussian laser beams. Journal of the Optical Society of America A, 2001, 18(8): 1897–1904
CrossRef
Google scholar
|
[8] |
Bagini V, Borghi R, Gori F, Pacileo A M, Santarsiero M, Ambrosini D, Spagnolo G S. Propagation of axially symmetric flattened Gaussian beams. Journal of the Optical Society of America A, 1996, 13(7): 1385–1394
CrossRef
Google scholar
|
[9] |
Cai Y, Lin Q. Light beams with elliptical flat-topped profiles. Journal of Optics A: Pure and Applied Optics, 2004, 6(4): 390–395
CrossRef
Google scholar
|
[10] |
Cai Y, Lin Q. Properties of a flattened Gaussian beam in the fractional Fourier transform plane. Journal of Optics A: Pure and Applied Optics, 2003, 5(3): 272–275
CrossRef
Google scholar
|
[11] |
Cai Y, He S. Partially coherent flattened Gaussian beam and its paraxial propagation properties. Journal of the Optical Society of America A, 2006, 23(10): 2623–2628
CrossRef
Google scholar
|
[12] |
Eyyuboglu H T. Propagation of Hermite-cosh-Gaussian laser beams in turbulent atmosphere. Optics Communications, 2005, 245(1-6): 37–47
|
[13] |
Cai Y, He S. Propagation of various dark hollow beams in a turbulent atmosphere. Optics Express, 2006, 14(4): 1353–1367
CrossRef
Google scholar
|
[14] |
Cai Y. Propagation of various flat-topped beams in a turbulent atmosphere. Journal of Optics A: Pure and Applied Optics, 2006, 8(6): 537–545
CrossRef
Google scholar
|
[15] |
Eyyuboglu H T, Arpali C, Baykal Y. Flat topped beams and their characteristics in turbulent media. Optics Express, 2006, 14(10): 4196–4207
CrossRef
Google scholar
|
[16] |
Chu X, Ni Y, Zhou G. Propagation analysis of flattened circular Gaussian beams with a circular aperture in turbulent atmosphere. Optics Communications, 2007, 274(2): 274–280
CrossRef
Google scholar
|
[17] |
Amarande S A. Beam propagation factor and the kurtosis parameter of flattened Gaussian beams. Optics Communications, 1996, 129(5-6): 311–317
|
[18] |
Borghi R, Santarsiero M, Vicalvi S. Focal shift of focused flat-topped beams. Optics Communications, 1998, 154(5-6): 243–248
CrossRef
Google scholar
|
[19] |
Li Y. Light beams with flat-topped profiles. Optics Letters, 2002, 27(12): 1007–1009
CrossRef
Google scholar
|
/
〈 | 〉 |