Browsing by Subject "Gaussian beam"
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Item Open Access Accumulated Gouy phase shift in Gaussian beam propagation through first-order optical systems(Optical Society of America, 1997-09) Erden, M. F.; Özaktaş, Haldun M.We define the accumulated Gouy phase shift as the on-axis phase accumulated by a Gaussian beam in passing through an optical system, in excess of the phase accumulated by a plane wave. We give an expression for the accumulated Gouy phase shift in terms of the parameters of the system through which the beam propagates. This quantity complements the beam diameter and the wave-front radius of curvature to constitute three parameters that uniquely characterize the beam with respect to a reference point in the system. Measurement of these parameters allows one to uniquely recover the parameters characterizing the first-order system through which the beam propagates.Item Open Access Optical spectroscopy of microcavities(Springer, 1997) Serpengüzel, Ali; Arnold, S.; Lock, J. A.; Griffel, G.; Hakioğlu, Tuğrul; Shumovsky, Alexander S.Microcavities, such as microspheres, possess morphology-dependent resonances (MDR’s). In this chapter light coupling mechanisms to MDR’s is examined. The novel mechanism of excitation of the microsphere with an optical fiber coupler (OFC) provides spatially and spectrally selective, as well as enhanced light coupling to the MDR’s, when compared with the conventional plane wave excitation. The plane wave excitation is described by LorenzMie Theory. However, Generalized Lorenz-Mie Theory and the Localization Principle are used for the OFC excitation.Item Open Access Relationships among ray optical, Gaussian beam, and fractional Fourier transform descriptions of first-order optical systems(Elsevier BV * North-Holland, 1997-11-01) Özaktaş, Haldun M.; Erden, M. F.Although wave optics is the standard method of analyzing systems composed of a sequence of lenses separated by arbitrary distances, it is often easier and more intuitive to ascertain the function and properties of such systems by tracing a few rays through them. Determining the location, magnification or scale factor, and field curvature associated with images and Fourier transforms by tracing only two rays is a common skill. In this paper we show how the transform order, scale factor, and field curvature can be determined in a similar manner for the fractional Fourier transform, Our purpose is to develop the understanding and skill necessary to recognize fractional Fourier transforms and their parameters by visually examining ray traces. We also determine the differential equations governing the propagation of the order, scale, and curvature, and show how these parameters are related to the parameters of a Gaussian beam.