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Propagation of hollow Gaussian beams through apertured paraxial optical systems
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.
KTH, School of Electrical Engineering (EES), Electromagnetic Engineering.ORCID iD: 0000-0002-3401-1125
2006 (English)In: Journal of the Optical Society of America a-Optics Image Science and Vision, ISSN 1084-7529, Vol. 23, no 6, 1410-1418 p.Article in journal (Refereed) Published
Abstract [en]

On the basis of the generalized Collins formula and the expansion of the hard-aperture function into a finite sum of complex Gaussian functions, an approximate analytical formula for a hollow Gaussian beam propagating through an apertured paraxial stigmatic (ST) ABCD optical system is derived. Some numerical examples are given. Furthermore, by using a tensor method, we derive approximate analytical formulas for a hollow elliptical Gaussian beam propagating through an apertured paraxial general astigmatic ABCD optical system and an apertured paraxial misaligned ST ABCD optical system. Our results provide a convenient way for studying the propagation and transformation of a hollow Gaussian beam and a hollow elliptical Gaussian beam through an apertured general optical system.

Place, publisher, year, edition, pages
2006. Vol. 23, no 6, 1410-1418 p.
Keyword [en]
angular-momentum, atomic motion, light-beams, wave-guides, generation, fibers, bessel
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-15695ISI: 000237755000017Scopus ID: 2-s2.0-33745755809OAI: oai:DiVA.org:kth-15695DiVA: diva2:333737
Note
QC 20100831Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2013-11-19Bibliographically approved
In thesis
1. Propagation of some coherent and partially coherent laser beams
Open this publication in new window or tab >>Propagation of some coherent and partially coherent laser beams
2006 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

In this thesis, we investigate the propagation of some coherent and partially coherent laser beams, including a dark hollow beam (DHB), an elliptical Gaussian beam (EGB), a flat-topped beam and a twisted anisotropic Gaussian Schell-model (TAGSM) beam, through a paraxial optical system or a turbulent atmosphere. Several theoretical models are proposed to describe a DHB of circular or non-circular symmetry. Approximate analytical formulas for a DHB and a partially coherent TAGSM beam propagating through an apertured paraxial optical system are derived based on the generalized Collins formula. Analytical formulas for a DHB, an EGB, a flat-topped beam and a partially coherent TAGSM beam propagating in a turbulent atmosphere are derived in a tensor form based on the extended Huygens-Fresnel integral formula. It is found that after a long propagation distance these beams become circular Gaussian beams in a turbulent atmosphere, and this is quite different from their propagation properties in free space. The conversion of any of these beams to a circular Gaussian beam becomes quicker and the beam spot in the far field spreads more rapidly for a larger structure constant of the turbulent atmosphere, a shorter wavelength and a smaller waist size of the initial beam. Lower coherence and larger twist have a stronger effect of anti-circularization of the beam spot. Our analytical formulas provide a convenient way for studying the propagation of various laser beams through a paraxial optical system or a turbulent atmosphere. The concept of coincidence fractional Fourier transform (FRT) with an incoherent or partially coherent beam is introduced, and the optical system for its implementation is designed. The coincidence FRT is demonstrated experimentally with a partially coherent beam, and the experimental results are consistent with the theoretical results.

Place, publisher, year, edition, pages
Stockholm: KTH, 2006. 67 p.
Series
Trita-EE, ISSN 1653-5146 ; 2006-20
Keyword
: dark hollow beam, elliptical Gaussian beam, flat-topped beam, twisted anisotropic Gaussian Schell-model, partial coherent, propagation, paraxial optical system
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
urn:nbn:se:kth:diva-4034 (URN)91-7178-391-1 (ISBN)
Public defence
2006-06-15, auditorium H1, Teknikringer 33, Stockholm, 10:00
Opponent
Supervisors
Note
QC 20100831Available from: 2006-06-02 Created: 2006-06-02 Last updated: 2010-08-31Bibliographically approved

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