1. Wave Physics PHYS 2023 Tim Freegarde

2. 2 Continuity conditions various derivations and forms typically:one condition derived from balance of forces conservation of momentum the two conditions combined conservation of energy reduce to equations of the form where are combinations of material properties

3. 3 Continuity conditions for a boundary at between regions A and B: transverse waves on a string:electromagnetic waves:non-normal incidence:sound waves:thermal waves:

4. 4 Reflection at an interface combine forward and reflected waves to give total fields for each region apply continuity conditions for separate components hence derive fractional transmission and reflection

5. 5 Impedance sound waves: thermal waves:transverse waves on a string:electromagnetic waves: at interface between two media:

6. 6 Electromagnetic waves at a normal interface combine forward and reflected waves to give total fields for each region apply continuity conditions for separate components hence derive fractional transmission and reflection continuity conditions: parameters:

7. 7 7 Newton’s rings diffuser beam-splitter lens plate apply to sinusoidal waves by taking into account the phase with which components arrive combine by adding the amplitudes contributions may therefore interfere constructively or destructively www.sciencebuddies.org

8. 8 Phase change upon reflection phase change if for electromagnetic waves in non-magnetic media

9. 9 9 Brewster’s angle www.paddling.net/sameboat/archives/sameboat496.html reflected light fully (s-) polarized