1 / 15

PHY 7 11 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103

PHY 7 11 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 32: Wave equation for sound Green’s function for wave equation. Other solutions to wave equation:. Wave equation with source:. Wave equation with source -- continued:.

halia
Download Presentation

PHY 7 11 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. PHY 711 Classical Mechanics and Mathematical Methods • 10-10:50 AM MWF Olin 103 • Plan for Lecture 32: • Wave equation for sound • Green’s function for wave equation PHY 711 Fall 2012 -- Lecture 32

  2. PHY 711 Fall 2012 -- Lecture 32

  3. Other solutions to wave equation: PHY 711 Fall 2012 -- Lecture 32

  4. Wave equation with source: PHY 711 Fall 2012 -- Lecture 32

  5. Wave equation with source -- continued: PHY 711 Fall 2012 -- Lecture 32

  6. Derivation of Green’s function for wave equation PHY 711 Fall 2012 -- Lecture 32

  7. Derivation of Green’s function for wave equation -- continued PHY 711 Fall 2012 -- Lecture 32

  8. Derivation of Green’s function for wave equation -- continued PHY 711 Fall 2012 -- Lecture 32

  9. Derivation of Green’s function for wave equation -- continued PHY 711 Fall 2012 -- Lecture 32

  10. Derivation of Green’s function for wave equation – continued need to find A and B. PHY 711 Fall 2012 -- Lecture 32

  11. Derivation of Green’s function for wave equation – continued PHY 711 Fall 2012 -- Lecture 32

  12. Derivation of Green’s function for wave equation – continued PHY 711 Fall 2012 -- Lecture 32

  13. For time harmonic forcing term we can use the corresponding Green’s function: In fact, this Green’s function is appropriate for boundary conditions at infinity. For surface boundary conditions where we know the boundary values or their gradients, the Green’s function must be modified. PHY 711 Fall 2012 -- Lecture 32

  14. PHY 711 Fall 2012 -- Lecture 32

  15. PHY 711 Fall 2012 -- Lecture 32

More Related