For simple mechanical waves like sound, intensity is related to the density of the medium and the speed, frequency, and amplitude of the wave. This can be shown with a long, horrible, calculation. Jump to the next highlighted equation if you don't care to see the sausage being made below.
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physics.info/intensity/
physics.info/intensity/
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The word intensity is used in a number of similar but slightly different ways. ... Brightness, Decibel Scale, Flux, Intensity Interferometer, Luminous Intensity, Mutual Intensity, Phase Function, Planck Intensity Density, Radiant Intensity, Radiative Transfer Equation, Specific Intensity...
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scienceworld.wolfram.com/physics/Intensity.html
scienceworld.wolfram.com/physics/Intensity.html
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Keywords: Transfer of Intensity Equation, HREM, Phase measurement ... We call this equation the Transport of Intensity Equation (TIE). Van Dyck and Coene [3] obtained a similar equation in terms of a phase and amplitude instead of the intensity. In order to use the TIE we have to evaluate the differential of intensity...
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www.hremresearch.com/Eng/download/documents/EMC2004TIE....
www.hremresearch.com/Eng/download/documents/EMC2004TIE.htm
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Teague showed that the phase may be determined by measuring only the intensities based on the Transport of Intensity Equation (TIE). Using the TIE we have to evaluate the differential of intensity along the wave propagation direction, which may be replaced by a difference of intensity of a series of through-focus images.
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www.hremresearch.com/Eng/download/documents/APEM8TIE.ht...
www.hremresearch.com/Eng/download/documents/APEM8TIE.htm
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[Archive] Sound Intensity Equation Help MCAT Discussions ... Student Doctor Network Forums > Pre-Medical Forums > MCAT Discussions > Sound Intensity Equation Help...
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forums.studentdoctor.net/archive/index.php/t-412059.htm...
forums.studentdoctor.net/archive/index.php/t-412059.html
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Automatic download; [Begin manual download] ... Downloading the PDF version of:; J Electron Microsc (Tokyo) Ishizuka and Allman 54 (3): 191. (396K) ... This file is in Adobe Acrobat (PDF) format. If you have not installed and configured the Adobe Acrobat Reader on your system, see Help with Printing for instructions.
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jmicro.oxfordjournals.org/cgi/reprint/dfi024?ijkey=6U0n...
jmicro.oxfordjournals.org/cgi/reprint/dfi024?ijkey=6U0nNDHZqnTEzyB&keytype=ref
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Since the Transport Intensity Equation (TIE) has been applied to electron microscopy only recently, there are controversial discussions in the literature regarding the theoretical concepts underlying the equation and the practical techniques to solve the equation.
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jmicro.oxfordjournals.org/cgi/content/short/dfi024v1
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Hemanth Thayyullathil, Rajesh Langoju, Renganathan Padmaram, R. Mohan Vasu, Rajan Kanjirodan, and Lalit M. Patnaik, "Three-Dimensional Optical Tomographic Imaging of Supersonic Jets through Inversion of Phase Data Obtained through the Transport-of-Intensity Equation," Appl.
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www.opticsinfobase.org/abstract.cfm?id=80579
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A 12, 1932 (1995)] we presented a method for phase recovery with the transport-of-intensity equation by use of a series expansion. Here we develop a different method for the solution of this equation, which allows recovery of the phase in the case of nonuniform illumination.
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www.opticsinfobase.org/josaa/abstract.cfm?uri=josaa-13-...
www.opticsinfobase.org/josaa/abstract.cfm?uri=josaa-13-8-1670
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