9.3.3 Green's function by eigenfunction expansion

2017_04_27/20170427_133650.jpg 2017_04_27/20170427_133659.jpg

Let's plot the Green's function from that representation:

9.3.3_example1.png 9.3.3_example2.png

Dirac delta

2017_04_27/20170427_133710.jpg

Maxwell's reciprocity

2017_04_27/20170427_133716.jpg

Green's function for Poisson equation

2017_04_27/20170427_135927.jpg

Example: On a rectangle 0 < x < L, 0 < y < H. We've solved this before.

green_laplace_rectangle_pencil.png

Let's picture G as a function of (x,y) for some specific (x0,y0):

green_laplace_rectangle.png green_laplace_rectangle_3dplot.png