Green's function? Physical interpretation?

[umerfarooque]

Green's function?? Physical interpretation??

Hi friends..

Can anyone help me to understand the physical interpretation of the green's function with help of some physical application example such as that from electrostatic?? I am unable to understand what is meant by linear operator in green functions equation? Response of the system to a disturbance?? Source density etc...

 

[Wiemster]

http://mathworld.wolfram.com/GreensFunctionPoissonsEquation.html

In the context of electrostatics the Green's function of the Poisson equation is the electrc potential due to a point charge.

 

[b sai ram]

Green's function visualizes the effect of source concentrated at a point on different points of the domain

 

[gleem]

One may think of a Green's function as the response of a system i.e., the effect due to a unit cause.

 

[jasonRF]

As others have said, it is the physical system response to an impulse driving force. In addition to Wiemster's example

1. For the wave equation that describes surface waves on a fluid, the Green's function would be a good approximation of the result of a rain drop hitting the surface

2. The Green's function of the Helholtz equation describes the radiation from a point source with sinusoidal variation

3. In solid structures, the Green's function would describe the response to the hit of a hammer (such tests with hammers are sometimes done in real life!)

jason