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  2. List of equations in wave theory - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in_wave...

    Intuitively the wave envelope is the "global profile" of the wave, which "contains" changing "local profiles inside the global profile". Each propagates at generally different speeds determined by the important function called the dispersion relation .

  3. Acoustic wave equation - Wikipedia

    en.wikipedia.org/wiki/Acoustic_wave_equation

    In physics, the acoustic wave equation is a second-order partial differential equation that governs the propagation of acoustic waves through a material medium resp. a standing wavefield. The equation describes the evolution of acoustic pressure p or particle velocity u as a function of position x and time t. A simplified (scalar) form of the ...

  4. Diffraction - Wikipedia

    en.wikipedia.org/wiki/Diffraction

    Diffraction can occur with any kind of wave. Ocean waves diffract around jetties and other obstacles. Circular waves generated by diffraction from the narrow entrance of a flooded coastal quarry. Sound waves can diffract around objects, which is why one can still hear someone calling even when hiding behind a tree. [26]

  5. Kirchhoff's diffraction formula - Wikipedia

    en.wikipedia.org/wiki/Kirchhoff's_diffraction...

    A geometrical arrangement used in deriving the Kirchhoff's diffraction formula. The area designated by A 1 is the aperture (opening), the areas marked by A 2 are opaque areas, and A 3 is the hemisphere as a part of the closed integral surface (consisted of the areas A 1, A 2, and A 3) for the Kirchhoff's integral theorem.

  6. Helmholtz equation - Wikipedia

    en.wikipedia.org/wiki/Helmholtz_equation

    When the equation is applied to waves, k is known as the wave number. The Helmholtz equation has a variety of applications in physics and other sciences, including the wave equation, the diffusion equation, and the Schrödinger equation for a free particle. In optics, the Helmholtz equation is the wave equation for the electric field. [1] The ...

  7. Diffraction from slits - Wikipedia

    en.wikipedia.org/wiki/Diffraction_from_slits

    Because diffraction is the result of addition of all waves (of given wavelength) along all unobstructed paths, the usual procedure is to consider the contribution of an infinitesimally small neighborhood around a certain path (this contribution is usually called a wavelet) and then integrate over all paths (= add all wavelets) from the source to the detector (or given point on a screen).

  8. Fraunhofer diffraction equation - Wikipedia

    en.wikipedia.org/.../Fraunhofer_diffraction_equation

    Diffraction geometry, showing aperture (or diffracting object) plane and image plane, with coordinate system. If the aperture is in x ′ y ′ plane, with the origin in the aperture and is illuminated by a monochromatic wave, of wavelength λ, wavenumber k with complex amplitude A(x ′,y ′), and the diffracted wave is observed in the unprimed x,y-plane along the positive -axis, where l,m ...

  9. Acousto-optic modulator - Wikipedia

    en.wikipedia.org/wiki/Acousto-optic_modulator

    Λ is the wavelength of the sound wave, λ is that of the light wave, and n is the refractive index of the crystal in the AOD (which should be omitted. This is a mistake). This is a mistake). The +1 order has a positive frequency shift compared to the incident light; The 0th order has the same frequency as the incident light.