The Spectrum of an exponentially decaying Light Pulse
In this problem you will learn how to apply the Fourier Transformation to a simple exponentially decaying electric field.
Math Basics
Physics can be seen as the try to express nature in term of mathematics.
This category intends to provide some basic mathematical tools to cope with the physics problems on the site. Remember, it's a physics site, so it might be much more leaned towards actual calculations than mathematicians might outline the topics.
The Spectrum of a rectangularly shaped Light Pulse
Published
in
Math Basics /
Fourier Transformation /
Special Functions
Tags: Spectrum / Heaviside function
Tags: Spectrum / Heaviside function
We compute the spectrum of a rectangular shaped pulse with underlying oscillating electric field.
Fourier Transformation of the Heaviside Function
Published
in
Math Basics /
Fourier Transformation /
Special Functions
Tags: Heaviside function / Complex integration / Spectrum
Tags: Heaviside function / Complex integration / Spectrum
The Heaviside step function is very important in physics. It often models a sudden switch-on phenomenon and is therefore present in a lot of integrals.