scholarly journals The research on the illumination distribution law of the first-order scattered light in the focal plane of transmission optical system

2017 ◽  
Vol 66 (4) ◽  
pp. 044201
Author(s):  
Tan Nai-Yue ◽  
Xu Zhong-Jie ◽  
Wei Ke ◽  
Zhang Yue ◽  
Wang Rui
Keyword(s):  
Optical System ◽  
Focal Plane ◽  
Scattered Light ◽  
Distribution Law ◽  
First Order

Realization of an optical system based on continuous-scan focal plane array

2016 ◽  
Vol 45 (1) ◽  
pp. 118002
Author(s):  
于 洋 Yu Yang ◽  
王世勇 Wang Shiyong ◽  
蹇 毅 Jian Yi ◽  
陈 珺 Chen Jun ◽  
代具亭 Dai Juting
Keyword(s):  
Optical System ◽  
Focal Plane ◽  
Focal Plane Array

scholarly journals A Method to Generate Vector Beams with Adjustable Amplitude in the Focal Plane

2020 ◽  
Vol 10 (7) ◽  
pp. 2313 ◽  
Author(s):  
Alexandru Crăciun ◽  
Traian Dascălu
Keyword(s):  
Optical System ◽  
Focal Plane ◽  
Focal Point ◽  
Polarization State ◽  
Optical Component ◽  
Stimulated Emission ◽  
Matrix Formalism ◽  
Sted Microscopy ◽  
Diffraction Integral ◽  
Vector Beams

We design and investigate an original optical component made of a c-cut uniaxial crystal and an optical system to generate cylindrical vector beams with an adjustable polarization state. The original optical component has a specific, nearly conical shape which allows it to operate like a broadband wave retarder with the fast axis oriented radially with respect to the optical axis. We show via numerical simulations, using the Debye–Wolf diffraction integral, that the focal spot changes depending on the polarization state, thus enabling the control of the focal shape. Non-symmetrical shapes can be created although the optical system and incoming beam are circularly symmetric. We explained, using Jones matrix formalism, that this phenomenon is connected with the Gouy phase difference acquired by certain modes composing the beam due to propagation to the focal plane. We present our conclusions in the context of two potential applications, namely, stimulated emission depletion (STED) microscopy and laser micromachining. The optical system can potentially be used for STED microscopy for better control of the point-spread function of the microscope and to decrease the unwanted light emitted from the surroundings of the focal point. We give an analytical expression for the shape of the original component using the aspherical lens formula for the two versions of the component: one for each potential application.

Diffraction ring pattern at the focal plane of a spherical lens – axicon doublet

1976 ◽  
Vol 54 (17) ◽  
pp. 1774-1780 ◽  
Author(s):  
Pierre-André Bélanger ◽  
Marc Rioux
Keyword(s):  
Plane Wave ◽  
Laser Beam ◽  
Optical System ◽  
Focal Plane ◽  
Focal Length ◽  
Spherical Lens ◽  
Diffraction Ring ◽  
Fresnel Integral ◽  
Drill Holes

A spherical lens and an axicon are combined to form an optical system producing a ring-shaped focalization pattern. The diameter of the ring in the focal plane depends on the angle of the axicon, on its dielectric index, and on the focal length of the spherical lens. The diffractional analysis of the lens–axicon combination, when illuminated by a plane wave, is presented. In particular, we show that, when the aperture is large, the Kirchhoff–Fresnel integral can be reduced to a known function. A close examination of the function reveals that the diffractional width of the ring is equal to approximately twice the width of the Airy pattern of the lens alone. This type of focalization is well suited for a system where a laser beam is used to drill holes.

scholarly journals On a theory of the second order longitudinal spherical aberra­tion for a symmetrical optical system

1920 ◽  
Vol 97 (683) ◽  
pp. 196-198
Keyword(s):  
Optical System ◽  
Spherical Aberration ◽  
Empirical Method ◽  
Second Order ◽  
Point Of View ◽  
Axial Plane ◽  
First Order ◽  
Usual Theory ◽  
Semi Empirical

1. The object of this investigation is to establish a formula for the longitudinal spherical aberration of rays which traverse a symmetrical optical system in an axial plane that shall be capable of fairly easy computation for any combination of lenses, and at the same time shall be accurate to the second order and free from certain important difficulties of convergency which occur in certain neighbourhoods when we attempt to use for the longitudinal aberration the method of aberration of successive orders. From the point of view of the optical designer, the usual theory of aberrations, which, for all practical purposes, is largely restricted to the first order, is known to give an unsatisfactory approximation. In practice, the designer adopts a semi-empirical method of tracing a number of rays through the system by means of the trigonometrical equations, a method which is laborious and lengthy, and which can at best give only incomplete informa­tion and very limited guidance for effecting improvements.

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