Modul

The module will be completed by an oral exam (~30min.)

The students can prove and apply basic properties of solutions of the Helmholtz equation in the interior and in the exterior of a domain. They know about the representation theorems for such solutions. Students can explain the existence theory of corresponding boundary value problems by integral equations and/or variational formulations including appropriate proofs. Furthermore, the students can show and apply the dependence of a scattered field on the scattering object and the wave number as well as the relationship with  its far field pattern. 

none

• Helmholtz equation and elementary soultions
• Greens representation theorems
• Existence and uniqueness of scattering problems
• Radiation condition and far field pattern

One of the following modules should already be covered: functional analysis or integral equations

Total workload: 240h

Attendance: 90h

• lecture, problem class, examination

Self-studies: 150h

• follow-up and deepening of the course content
• work on problem sheets
• literature study and internet research related to the course content
• preparation for the module exam