- #1
vivek.iitd
- 54
- 0
I need to solve three coupled differential equations. The equations are as follows:
dE1/dz = f(E2,E3)
dE2/dz = f(E1,E3)
dE3/dz = f(E1,E2)
Where E1,E2,E3 represents field amplitudes. In case of plane waves these amplitudes will be constant in the transverse direction therefore i can directly solve these equation given their initial values. Although, i would like to, how should i solve these equations if i have a Gaussian distribution in the transverse direction? Do i need to solve it by creating a mesh and solving these equations for each pairs of points?
I thank you for your time.
dE1/dz = f(E2,E3)
dE2/dz = f(E1,E3)
dE3/dz = f(E1,E2)
Where E1,E2,E3 represents field amplitudes. In case of plane waves these amplitudes will be constant in the transverse direction therefore i can directly solve these equation given their initial values. Although, i would like to, how should i solve these equations if i have a Gaussian distribution in the transverse direction? Do i need to solve it by creating a mesh and solving these equations for each pairs of points?
I thank you for your time.