Search results
Results from the WOW.Com Content Network
A normal mode of a dynamical system is a pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation. The free motion described by the normal modes takes place at fixed frequencies. These fixed frequencies of the normal modes of a system are known as its natural frequencies or ...
Wave equation. The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves (e.g. water waves, sound waves and seismic waves) or electromagnetic waves (including light waves). It arises in fields like acoustics, electromagnetism, and fluid dynamics.
Mode (electromagnetism) The mode of electromagnetic systems describes the field pattern of the propagating waves. [1]: 369. Some of the classifications of electromagnetic modes include; Modes in waveguides and transmission lines. These modes are analogous to the normal modes of vibration in mechanical systems. [2]: A.4.
Vibrations of a circular membrane. One of the possible modes of vibration of an idealized circular drum head (mode with the notation below). Other possible modes are shown at the bottom of the article. A two-dimensional elastic membrane under tension can support transverse vibrations. The properties of an idealized drumhead can be modeled by ...
A standing wave (black) depicted as the sum of two propagating waves traveling in opposite directions (red and blue). Electric force vector (E) and magnetic force vector (H) of a standing wave. Standing waves in a string – the fundamental mode and the first 5 harmonics. A standing wave on a circular membrane, an example of standing waves in ...
t. e. In mathematics and applied mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem. [1][2] A critical feature of the technique is a middle step that breaks the problem into "solvable" and "perturbative" parts. [3]
In condensed matter physics, Bloch's theorem states that solutions to the Schrödinger equation in a periodic potential can be expressed as plane waves modulated by periodic functions. The theorem is named after the Swiss physicist Felix Bloch, who discovered the theorem in 1929. [1] Mathematically, they are written [2] Bloch function.
A transverse mode of electromagnetic radiation is a particular electromagnetic field pattern of the radiation in the plane perpendicular (i.e., transverse) to the radiation's propagation direction. Transverse modes occur in radio waves and microwaves confined to a waveguide, and also in light waves in an optical fiber and in a laser 's optical ...