The EJS Beats model displays the result of adding two waves with different frequencies. The simulation displays the superposition of the two waves as well as a phasor diagram that shows how the waves add up at one point in space. The ratio of the wave amplitudes, the ratio of the frequencies, and the phase shift between the two waves can be changed via textboxes.

Discrete-time systems allow for mathematically specified processes like the difference equation.

Explore tunneling splitting in double well potentials. This classic problem describes many physical systems, including covalent bonds, Josephson junctions, and two-state systems such as spin 1/2 particles and ammonia molecules.

Examples to accompany module "Systems in the Time-Domain."

Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare different mathematical expressions for your waves.

The EJS Harmonics and Fourier Series model displays the sum of harmonics via a Fourier series to yield a new wave. The amplitude of each harmonic as well as the phase of that harmonic can be changed via sliders. In addition, several pre-set functions can be chosen to display. You can modify this simulation if you have EJS installed by right-clicking within the plot and selecting "Open EJS Model" from the pop-up menu item.

This module serves as an introduction to working in the frequency domain and thinking of signals in terms of their spectral components. The Fourier transform can be used to represent any signal in terms of frequency instead of time and facilitates the computation of the transfer function of a system.

Students learn the basic properties of light the concepts of light absorption, transmission, reflection and refraction, as well as the behavior of light during interference. Lecture information briefly addresses the electromagnetic spectrum and then provides more in-depth information on visible light. With this knowledge, students better understand lasers and are better prepared to design a security system for the mummified troll.

Mechanical vibrations and waves; simple harmonic motion, superposition, forced vibrations and resonance, coupled oscillations and normal modes; vibrations of continuous systems; reflection and refraction; phase and group velocity. Optics; wave solutions to Maxwell's equations; polarization; Snell's Law, interference, Huygens's principle, Fraunhofer diffraction, and gratings.

Mechanical vibrations and waves; simple harmonic motion, superposition, forced vibrations and resonance, coupled oscillations and normal modes; vibrations of continuous systems; reflection and refraction; phase and group velocity. Optics; wave solutions to Maxwell's equations; polarization; Snell's Law, interference, Huygens's principle, Fraunhofer diffraction, and gratings.

Properties of different types of systems.

Propiedades de diferentes tipos de sistemas

The EJS QM Eigenstate Superposition Demo model displays the time dependence of a variety of superpositions of energy eigenfunctions for the infinite square well and harmonic oscillator potentials. One of the eleven pre-set superpositions can be selected via a drop-down menu with the resulting wave function shown in phase-as-color representation. A table of the expansion coefficients is shown and can be edited. The width of the infinite square well potential can be changed via a slider.

Explore the properties of quantum "particles" bound in potential wells. See how the wave functions and probability densities that describe them evolve (or don't evolve) over time.

Often times, signals can be decomposed into a superposition of two or more simpler signals. In these cases, linearity can be exploited to make the processing of such signals much simpler.

This lesson introduces students to stratigraphy. Students will interpret archaeological strata using the law of superposition and apply cross-dating to determine the age of other artifacts.

The superposition of waves gives rise to the phenomenum of beats.

Discrete-time systems allow for mathematically specified processes like the difference equation.

This module looks at terminated transmission lines.