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    • https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_I_(Ellingson)/01%3A_Preliminary_Concepts/1.03%3A_Fundamentals_of_Waves
      In this section, we formally introduce the concept of a wave and explain some basic characteristics.
    • https://phys.libretexts.org/Bookshelves/Relativity/Special_Relativity_(Crowell)/06%3A_Waves/6.06%3A_Phase_and_Group_Velocity
      We could try to resolve the ambiguity by requiring that the arrow’s projection into the xy plane be perpendicular to the intersection of the wavefronts with that plane, but (with the exception of ...We could try to resolve the ambiguity by requiring that the arrow’s projection into the xy plane be perpendicular to the intersection of the wavefronts with that plane, but (with the exception of the case where the wave travels at c, Example \PageIndex1) this prescription gives results that change depending on our frame of reference, and the changes are not describable by a Lorentz transformation of the velocity vector.
    • https://phys.libretexts.org/Courses/Prince_Georges_Community_College/PHY_2040%3A_General_Physics_III/01%3A_Waves_and_Vibrations/1.5%3A_Waves
      Wave motion transfers energy from one point to another, usually without permanent displacement of the particles of the medium.
    • https://phys.libretexts.org/Learning_Objects/A_Physics_Formulary/Physics/05%3A_Waves
      Wave equations, Green's function methods and electromagnetic waves including waveguides
    • https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_I_(Ellingson)/09%3A_Plane_Waves_in_Loseless_Media/9.05%3A_Uniform_Plane_Waves_-_Characteristics
      In this section, we identify some important characteristics of uniform plane waves, including wavelength and phase velocity.
    • https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/09%3A_Waves/9.05%3A_Amplitude_Modulation
      The general solution to the wave equation allows for many more interesting wave shapes. An important, and often encountered one is where the wave itself is used as the medium, by changing the amplitud...The general solution to the wave equation allows for many more interesting wave shapes. An important, and often encountered one is where the wave itself is used as the medium, by changing the amplitude over time.
    • https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/01%3A_Preliminary_Concepts/1.03%3A_Fundamentals_of_Waves
      In this section, we formally introduce the concept of a wave and explain some basic characteristics.
    • https://phys.libretexts.org/Bookshelves/Waves_and_Acoustics/The_Physics_of_Waves_(Goergi)/06%3A_Continuum_Limit_and_Fourier_Series/6.01%3A_The_Continuum_Limit
      Consider a discrete space translation invariant system in which the separation between neighboring masses is a. If a is very small, the discrete system looks continuous.
    • https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/09%3A_Plane_Waves_in_Loseless_Media/9.05%3A_Uniform_Plane_Waves_-_Characteristics
      In this section, we identify some important characteristics of uniform plane waves, including wavelength and phase velocity.
    • https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_II_(Ellingson)/06%3A_Waveguides/6.01%3A_Phase_and_Group_Velocity
      To send information, the source of the wave needs to vary at least one parameter as a function of time; for example A (resulting in amplitude modulation), ω (resulting in frequency modula...To send information, the source of the wave needs to vary at least one parameter as a function of time; for example A (resulting in amplitude modulation), ω (resulting in frequency modulation), or ψ (resulting in phase modulation). Note the similarity to the definition of phase velocity in Equation ???. Group velocity can be interpreted as the speed at which a disturbance in the wave propagates.
    • https://phys.libretexts.org/Bookshelves/Waves_and_Acoustics/The_Physics_of_Waves_(Goergi)/08%3A_Traveling_Waves/8.01%3A_Standing_and_Traveling_Waves
      So far, we have considered standing wave solutions in which the space and time dependent factors are separately real, i.e. \[\sin k x \cdot \cos \omega t \propto\left(e^{i k x}-e^{-i k x}\right) \cdot...So far, we have considered standing wave solutions in which the space and time dependent factors are separately real, i.e. sinkxcosωt(eikxeikx)(eiωt+eiωt). But we can put the same solutions together in a different way, ψ(x,t)=cos(kxωt)(eikxeiωt+eikxeiωt).

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