"The (two-way) wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields."
Mathematical equations that describe the behavior of waves, including the wave equation and the wave function.
Simple Harmonic Motion: An oscillation where the restoring force is directly proportional to the displacement of the object from its equilibrium position.
Mechanical Waves: A disturbance that propagates through matter, caused by an external force or displacement.
Transverse Waves: A type of mechanical wave where the displacement of the medium is perpendicular to the direction of wave propagation.
Longitudinal Waves: A type of mechanical wave where the displacement of the medium is parallel to the direction of wave propagation.
Wave Equation: A mathematical equation that describes the behavior of waves, and allows us to predict the future state of a wave from its current state.
Pulse Waves: A single disturbance that travels through a medium, and is typically used to illustrate the behavior of waves.
Periodic Waves: A wave that repeats itself over time, such as a sine wave.
Standing Waves: A type of wave that is formed by the interference of two or more waves traveling in opposite directions, resulting in a stationary pattern.
Sound Waves: A type of wave that travels through air, characterized by its frequency and amplitude.
Electromagnetic Waves: Waves that are made up of electric and magnetic fields that propagate through space.
Reflection, Refraction, and Diffraction: The behavior of waves when they encounter obstacles.
Resonance: A phenomenon where a system is driven by an external force that has a frequency equal to the natural frequency of the system.
Wave Interference: When two or more waves meet, and their behaviors can either cancel out or amplify each other.
The Doppler Effect: A shift in the frequency of a wave due to the relative motion of the source and observer.
Traveling Waves: A wave that propagates through a medium, moving energy from one point to another.
Superposition: The principle that states that when two or more waves meet, the total displacement at any point is the sum of the individual displacements.
Energy and Power of Waves: The energy and power carried by wave phenomena.
Wave Types: Different types of waves, based on their characteristics and properties.
Phase and Phase Velocity: The state of a wave and its velocity as it moves through a medium.
Waveforms: The patterns that waves create as they propagate through a medium.
Boundary Condition: The condition placed on the behavior of a wave when it encounters a boundary between two different media.
Wave Dispersion: The variation of wave velocity with wavelength as a result of a medium's properties.
Fourier Series: A mathematical technique used to break down complicated waveforms into simpler wave components.
Waveguide Theory: The study of waves in a confined space that propagate in certain directions due to the confinement of the wave.
Electromagnetic Spectrum: The range of frequencies and wavelengths of all electromagnetic waves.
Mechanical Waves: A mechanical wave is a disturbance that travels through a medium, such as water, air or solids.
Sound Waves: Sound waves are a type of mechanical wave that propagate through a medium as a series of compression and rarefaction zones.
Light Waves: Light waves are electromagnetic waves that propagate through space as both waves of electric and magnetic fields.
Electromagnetic Waves: Electromagnetic waves are a broad category of waves that include radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays.
Water Waves: Water waves refer to waves that propagate on the surface of a body of water due to the disturbance or displacement of the water surface.
Seismic Waves: Seismic waves are vibrations that propagate through the Earth's crust, typically due to the release of energy during an earthquake.
Gravity Waves: Gravity waves are ripples in the curvature of spacetime that are predicted by Einstein's theory of general relativity.
Quantum Waves: Quantum waves are probabilistic waves that describe the behavior of subatomic particles, such as electrons.
Magnetostatic Waves: Magnetostatic waves are waves of oscillating magnetic fields that occur in ferromagnetic materials.
Surface Waves: Surface waves are waves that propagate along the interface between two media, such as the air-water interface or the boundary between rock and air in the Earth's crust.
"It arises in fields like acoustics, electromagnetism, and fluid dynamics."
"such as mechanical waves (e.g. water waves, sound waves and seismic waves) or electromagnetic waves (including light waves)."
"Single mechanical or electromagnetic waves propagating in a pre-defined direction can also be described with the first-order one-way wave equation, which is much easier to solve and also valid for inhomogeneous media."
"The (two-way) wave equation is a second-order linear partial differential equation."
"...for the description of waves or standing wave fields – as they occur in classical physics..."
"...mechanical waves (e.g. water waves, sound waves and seismic waves)..."
"...electromagnetic waves (including light waves)."
"The (two-way) wave equation is a second-order linear partial differential equation..."
"...valid for inhomogeneous media."
"It arises in fields like acoustics, electromagnetism, and fluid dynamics."
"It arises in fields like acoustics, electromagnetism, and fluid dynamics."
"...which is much easier to solve..."
"Single mechanical or electromagnetic waves propagating in a pre-defined direction can also be described with the first-order one-way wave equation..."
"...valid for inhomogeneous media."
"The (two-way) wave equation is a second-order linear partial differential equation..."
"The (two-way) wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields..."
"It arises in fields like acoustics, electromagnetism, and fluid dynamics."
"The (two-way) wave equation is a second-order linear partial differential equation..."
"The (two-way) wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields – as they occur in classical physics..."