Phase Plots of Complex Functions

Routines for creating color representations of complex functions (phase plots)
ダウンロード: 1.8K
更新 2014/1/16

ライセンスの表示

The ZIP-file provides several routines for creating color representations of complex (in particular analytic and meromorphic) functions.

Basically the argument (phase) of the function is encoded by a circular (hsv) color scheme and displayed directly on the domain of the function. The phase plot depicts clearly the location of zeros, poles, saddle points (zeros of the derivative), and essential singularities. Several modifications of the color scheme allow to incorporate additional information, like the modulus of the function.

The user must provide a field (matrix) of complex numbers z which covers the domain (typically a rectangle, a disk or an annulus) of the function, and a field of the same size with the corresponding values w=f(z). Then call

PhasePlot(z,w);

to create a phase plot of f on the domain of z. Try PPDemo to see a number of examples with different color options.

Version 2.3 comes with a graphical user interface (by Frank Martin) which allows easy control of color options (including coloring according to the NIST standard) and other parameters.

The screenshot shows a phase plot of a so-called atomic singular inner function, which has five essential singularities sitting at the fifth roots of unity.

For further information and a gallery of phase plots visit www.visual.wegert.com

引用

Elias Wegert (2024). Phase Plots of Complex Functions (https://www.mathworks.com/matlabcentral/fileexchange/44375-phase-plots-of-complex-functions), MATLAB Central File Exchange. 取得済み .

MATLAB リリースの互換性
作成: R2011b
すべてのリリースと互換性あり
プラットフォームの互換性
Windows macOS Linux
カテゴリ
Help Center および MATLAB AnswersPole and Zero Locations についてさらに検索
謝辞

ヒントを与えたファイル: Complex Function Explorer

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
バージョン 公開済み リリース ノート
1.2.0.0

added graphical user interface, extended Demo, improved color options, included color schemes conformal to the NIST standard

1.0.0.0