superposition
(noun)
The summing of two or more field contributions occupying the same space.
Examples of superposition in the following topics:
-
Superposition and Interference
- A wave may have a complicated shape that can result from superposition and interference of several waves.
- As a result of superposition of waves, interference can be observed.
- This superposition produces pure constructive interference.
- These waves result from the superposition of several waves from different sources, producing a complex pattern.
- A brief introduction to constructive and destructive wave interference and the principle of superposition.
-
Superposition
- Superposition occurs when two waves occupy the same point (the wave at this point is found by adding the two amplitudes of the waves).
- More specifically, the disturbances of waves are superimposed when they come together (a phenomenon called superposition).
- Superposition of waves leads to what is known as interference, which manifests in two types: constructive and destructive.
- Constructive interference occurs when two waves add together in superposition, creating a wave with cumulatively higher amplitude, as shown in .
- Superposition is when two waves add together.
-
Superposition of Forces
- The superposition principle (superposition property) states that for all linear forces the total force is a vector sum of individual forces.
- The superposition principle (also known as superposition property) states that: for all linear systems, the net response at a given place and time caused by two or more stimuli is the sum of the responses which would have been caused by each stimulus individually.
- The principle of linear superposition allows the extension of Coulomb's law to include any number of point charges—in order to derive the force on any one point charge by a vector addition of these individual forces acting alone on that point charge.
- Of course, our discussion of superposition of forces applies to any types (or combinations) of forces.
- Apply the superposition principle to determine the net response caused by two or more stimuli
-
Beats
- The superposition of two waves of similar but not identical frequencies produces a pulsing known as a beat.
- The culprit is the superposition of two waves of similar but not identical frequencies.
- The wave resulting from the superposition of two similar-frequency waves has a frequency that is the average of the two.
- Beats are produced by the superposition of two waves of slightly different frequencies but identical amplitudes.The waves alternate in time between constructive interference and destructive interference, giving the resulting wave a time-varying amplitude.
-
Superposition of Fields
- As vector fields, electric fields obey the superposition principle.
- It should be noted that the superposition principle is applicable to any linear system, including algebraic equations, linear differential equations, and systems of equations of the aforementioned forms.
-
Superposition of Electric Potential
- The summing of all voltage contributions to find the total potential field is called the superposition of electric potential.
-
Linear Combination of Atomic Orbitals (LCAO)
- An LCAO approximation is a quantum superposition of atomic orbitals, used to calculate molecular orbitals in quantum chemistry.
- A linear combination of atomic orbitals, or LCAO, is a quantum superposition of atomic orbitals and a technique for calculating molecular orbitals in quantum chemistry.
-
Motivation
- At the beginning of this course, we saw that superposition of functions in terms of sines and cosines was extremely useful for solving problems involving linear systems.
-
Introduction to the Fourier Series
- So, the motivation for further study of such a Fourier superposition is clear.
- If we somehow had an automatic way of representing these data as a superposition of sinusoids of various frequencies, then might we not expect these characteristic frequencies to manifest themselves in the size of the coefficients of this superposition?
- Consider the superposition of two sinusoids of nearly the same frequency:
-
Single Slit Diffraction
- It is explained by the Huygens-Fresnel Principle, and the principal of superposition of waves.
- The superposition principle states that at any point, the net result of multiple stimuli is the sum of all stimuli.