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Some thoughts on scalar diffraction theory

International Optical Design Conference, 2002
Lens designers are required to design the nearly aberration-free optics in order to meet the extremely high specification of the system. Besides the wavefront aberration generated by the lens, we should understand that an image degradation is introduced not only by the lens but also on the object or image plane.
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Scalar Diffraction Theory

2009
Light is part of the electromagnetic spectrum and therefore is governed by Maxwell's equations. In this chapter we introduce these equations to describe the propagation of light. In later chapters we will use them as a basis for the design of a wide range of diffractive optical elements.
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Scalar Theory of Diffraction: Kirchhoff Diffraction Integral

2014
This excerpt gives a succinct explanation of the scalar theory of diffraction: Kirchhoff diffraction integral.
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Nonparaxial scalar diffraction theory modifications for improved efficiency estimation

Applied Optics, 2021
Using the nonparaxial scalar diffraction equations to estimate the diffraction efficiency of multiple orders of a sinusoidal reflection grating, we compare the results of transverse electric (TE) and transverse magnetic (TM) vector wave simulations for a reflective surface on glass.
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Foundations of Scalar Diffraction Theory

2010
Light can be described by two very different approaches: classical electrodynamics and quantum electrodynamics. In the classical treatment, electric and magnetic fields are continuous functions of space and time, and light comprises co-oscillating electric and magnetic wave fields. In the quantum treatment, photons are elementary particles with no mass
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Exact solutions in the scalar diffraction theory of aberrations

Applied Optics, 1980
A simple exact method is presented for evaluating the circularly symmetric Fresnel-Kirchhoff diffraction integral in the presence of Seidel aberrations, all orders of spherical aberration, and all orders of linear coma. The resultant formulas involve a simple quadrature over a single special function of mathematics.
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Scalar diffraction theory for azimuthally structured Fresnel zone plate

SPIE Proceedings, 2012
Some applications like the development of lithographic systems require a possibility to focus EUV and x-ray radiation, but for those wavelengths no transparent material exists. For that reason the use of diffractive lenses is interesting [1]. The classical Fresnel zone plate (FZP) is in theory a good solution but the individual rings need to be ...
Thordis Vierke, Jürgen Jahns
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Computer simulation of the scatter plate interferometer by scalar diffraction theory

Applied Optics, 1997
Detailed computer simulations of the scatter plate interferometer with random scatterers in the scatter plate are performed, for the first time to our knowledge, by use of the scalar diffraction theory in the paraxial domain. It is shown that the computer simulations produce output image patterns of the expected qualitative characteristics.
J, Räsänen   +6 more
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A Hyperbola Framework for Scalar Diffraction Theory with Applications

Frontiers in Optics + Laser Science 2024 (FiO, LS)
A complete geometrization of the Huygens–Fresnel principle by means of a highly versatile hyperbola theorem is presented, alongside its applications. The unitary framework so developed can concurrently apprehend both optical interference and diffraction phenomena.
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Experimental examination of scalar theory of diffraction

2017
In this thesis diraction by a rectangular aperture is inspected. Measured data is collected, using digital camera CMOS sensor, and compared with theoretically obtained results calculated using symbolic computation program Mathematica 11.0. Theoretical analysis done by Kirchho is based on usage of Green's function and Green's second identity in ...
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