Omnicron11

Motivation

I want to help other learn topics that I struggled with as an undergrad/graduate and in life. Time domain based physics and in particular transient analyses, are my strongest contributions. I find it insufficient to learn about time based phenomena without the use of actual time based solutions.

If you have a query, leave a message on my talk page.

Videos

Electric field (top) and magnetic field (bottom) of an electric-SRR under resonant electrical excitation, from a zero-field condition. The magnetic response arises from the symmetry of the current loops. Split-ring resonator

The electric field of a dipole antenna driven at its resonant frequency. Dipole Antenna

Transient analysis of a silicon (n = 3.4) Fabry–Pérot etalon at normal incidence. The upper animation is for etalon thickness chosen to give maximum transmission while the lower animation is for thickness chosen to give minimum transmission. Fabry–Pérot interferometer

False color transient for a high refractive index, dielectric slab in air. The thickness/frequencies have been selected such that red (top) and blue (bottom) experience maximum transmission, whereas the green (middle) experiences minimum transmission. Fabry–Pérot interferometer

Electromagnetic vectors for ${\textstyle {\textbf {E}}}$, ${\textstyle {\textbf {B}}}$ and ${\textstyle {\textbf {k}}}$ with ${\textstyle {\textbf {E}}={\textbf {E}}(x,y)}$ along with 3 planar projections. The light is always s-polarized in the xy plane. ${\textstyle \theta }$ is the polar angle of ${\textstyle {\textbf {k}}}$ and ${\textstyle \varphi _{E}}$is the azimuthal angle of ${\textstyle {\textbf {E}}}$.

Electromagnetic vectors for ${\textstyle {\textbf {E}}}$, ${\textstyle {\textbf {B}}}$ and ${\textstyle {\textbf {k}}}$ with ${\textstyle {\textbf {E}}={\textbf {E}}(x,y)}$ along with 3 planar projections and a deformation surface of total electric field. The light is always s-polarized in the xy plane. ${\textstyle \theta }$ is the polar angle of ${\textstyle {\textbf {k}}}$ and ${\textstyle \varphi _{E}}$ is the azimuthal angle of ${\textstyle {\textbf {E}}}$. Polarization(waves)

Transient solution to a phase array containing 7 emitters spaced a quarter wavelength apart. The phase between adjacent emitters is switched from 45 degrees to -45degrees. Phased array

Simulation of the electric field inside a microwave oven for the first 8 ns of operation. Microwave Oven

Transient solution for an AC induction motor from a complete stop to it's operating point under a varying load. Induction motor

Animated gifs

Electric field (top) and magnetic field (bottom) of an electric-SRR under resonant electrical excitation. Split-ring resonator

Transient analysis of a damped traveling wave and a reflecting boundary. Standing wave

mode-locked, fully reflecting cavity supporting the first 30 modes. The upper plot shows the first 8 modes inside the cavity (lines) and the total electric field at various positions inside the cavity (points). The lower plot shows the total electric field inside the cavity. Mode-Locking

A phase array of 15 emitters spaced a quarter wavelength apart. The phase between adjacent emitters is swept between -120 degrees and 120 degrees. Phased array

Drude response of current density to an AC electric field. Drude Model

Animation showing the Fourier Transform of a time shifted signal. [Top] the original signal (orange), is continuously time shifted (blue). [Bottom] The resultant Fourier Transform. Note how the higher frequency components revolve in complex plane faster than the lower frequency components Fourier Transform.

An animation of how Inverse transfrom sampling generates random values.

Animation showing four different polarization states and three orthogonal projections. Polarization (waves)

Animation showing how aliasing occurs for sampled waveforms. Aliasing