Propagation equation of Hermite-Gauss beams through a complex optical system with apertures and its application to focal shift

	Propagation equation of Hermite-Gauss beams through a complex optical system with apertures and its application to focal shift
	Peng S.; Jin G.; Tingfeng W.
	2013
发表期刊	Journal of the Optical Society of America A: Optics and Image Science, and Vision
ISSN	ISBN/10847529
卷号	30 期号:7
摘要	Based on the generalized Huygens-Fresnel diffraction integral (Collins' formula), the propagation equation of Hermite-Gauss beams through a complex optical system with a limiting aperture is derived. The elements of the optical system may be all those characterized by an ABCD ray-transfer matrix, as well as any kind of apertures represented by complex transmittance functions. To obtain the analytical expression, we expand the aperture transmittance function into a finite sum of complex Gaussian functions. Thus the limiting aperture is expressed as a superposition of a series of Gaussian-shaped limiting apertures. The advantage of this treatment is that we can treat almost all kinds of apertures in theory. As application, we define the width of the beam and the focal plane using an encircled-energy criterion and calculate the intensity distribution of Hermite-Gauss beams at the actual focus of an aperture lens. 2013 Optical Society of America.
收录类别	SCI ; EI
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/40822
专题	中科院长春光机所知识产出
推荐引用方式 GB/T 7714	Peng S.,Jin G.,Tingfeng W.. Propagation equation of Hermite-Gauss beams through a complex optical system with apertures and its application to focal shift[J]. Journal of the Optical Society of America A: Optics and Image Science, and Vision,2013,30(7).
APA	Peng S.,Jin G.,&Tingfeng W..(2013).Propagation equation of Hermite-Gauss beams through a complex optical system with apertures and its application to focal shift.Journal of the Optical Society of America A: Optics and Image Science, and Vision,30(7).
MLA	Peng S.,et al."Propagation equation of Hermite-Gauss beams through a complex optical system with apertures and its application to focal shift".Journal of the Optical Society of America A: Optics and Image Science, and Vision 30.7(2013).

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