Difference between revisions of "Tutorial/Wave propagation"

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(Created page with " = Scalar waves = ===== Membrane equations ===== ===== Euler's equations ===== ===== Wave equation ===== = Vector waves = ===== Maxwell's equations ===== ===== Second...")
 
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== Introduction ==
  
= Scalar waves =
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...
  
===== Membrane equations =====
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== Wave-like problems ==
  
===== Euler's equations =====
 
  
===== Wave equation =====
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=== Vibrations of a string or a membrane ===
  
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:{| class="toccolours mw-collapsible mw-collapsed" width="80%" style="text-align:left"
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!Formulation with the scalar wave equation
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|-
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| Blablabla
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|}
  
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:{| class="toccolours mw-collapsible mw-collapsed" width="80%" style="text-align:left"
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!Formulation with a first-order system (unknowns: position and vertical velocity)
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|-
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| Blablabla
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|}
  
= Vector waves =
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=== Acoustic waves ===
  
===== Maxwell's equations =====
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:{| class="toccolours mw-collapsible mw-collapsed" width="80%" style="text-align:left"
 +
!Formulation with the scalar wave equation
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|-
 +
| Blablabla
 +
|}
  
 +
:{| class="toccolours mw-collapsible mw-collapsed" width="80%" style="text-align:left"
 +
!Formulation with Euler's equations
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|-
 +
| Blablabla
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|}
  
===== Second-order formulations =====
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=== Electromagnetic waves ===
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:{| class="toccolours mw-collapsible mw-collapsed" width="80%" style="text-align:left"
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!Formulation with the vector wave equation
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|-
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| Blablabla
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|}
 +
 
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:{| class="toccolours mw-collapsible mw-collapsed" width="80%" style="text-align:left"
 +
!Formulation with Maxwell's equations
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|-
 +
| Blablabla
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|}

Revision as of 16:04, 12 April 2014

Introduction

...

Wave-like problems

Vibrations of a string or a membrane

Formulation with the scalar wave equation
Blablabla
Formulation with a first-order system (unknowns: position and vertical velocity)
Blablabla

Acoustic waves

Formulation with the scalar wave equation
Blablabla
Formulation with Euler's equations
Blablabla

Electromagnetic waves

Formulation with the vector wave equation
Blablabla
Formulation with Maxwell's equations
Blablabla