Fourier optics and Hartley transform

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Fourier optics and Hartley transform

Fourier optics vs. Hartley transform

Fourier optics is the study of classical optics using Fourier transforms (FTs), in which the wave is regarded as a superposition of plane waves that are not related to any identifiable sources; instead they are the natural modes of the propagation medium itself. In mathematics, the Hartley transform (HT) is an integral transform closely related to the Fourier transform (FT), but which transforms real-valued functions to real-valued functions.

Similarities between Fourier optics and Hartley transform

Fourier optics and Hartley transform have 6 things in common (in Unionpedia): Complex number, Convolution, Convolution theorem, Fourier transform, Imaginary unit, Real number.

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Complex number and Fourier optics · Complex number and Hartley transform · See more »

Convolution

In mathematics (and, in particular, functional analysis) convolution is a mathematical operation on two functions (f and g) to produce a third function, that is typically viewed as a modified version of one of the original functions, giving the integral of the pointwise multiplication of the two functions as a function of the amount that one of the original functions is translated.

Convolution and Fourier optics · Convolution and Hartley transform · See more »

Convolution theorem

In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution is the pointwise product of Fourier transforms.

Convolution theorem and Fourier optics · Convolution theorem and Hartley transform · See more »

Fourier transform

The Fourier transform (FT) decomposes a function of time (a signal) into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes.

Fourier optics and Fourier transform · Fourier transform and Hartley transform · See more »

Imaginary unit

The imaginary unit or unit imaginary number is a solution to the quadratic equation.

Fourier optics and Imaginary unit · Hartley transform and Imaginary unit · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Fourier optics and Real number · Hartley transform and Real number · See more »

The list above answers the following questions

What Fourier optics and Hartley transform have in common
What are the similarities between Fourier optics and Hartley transform

Fourier optics and Hartley transform Comparison

Fourier optics has 94 relations, while Hartley transform has 28. As they have in common 6, the Jaccard index is 4.92% = 6 / (94 + 28).

References

This article shows the relationship between Fourier optics and Hartley transform. To access each article from which the information was extracted, please visit:

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