1. Wave and Wave Motion Wave 매질이 평형상태에서 벗어난 상태가 이동해 가는 현상 종파 변형 방향이 진행 방향과 나란한 파동 횡파 변형 방향이 진행 방향과 수직인 파동 Examples: http://www.kettering.edu/~drussell/Demos/waves/wavemotion.html

2. Mathematical Foundation for the (traveling) wave formula Let's useyto denote the deviation from the equilibrium. Let's move this graph by +3 and see what we need to incorporate proper changes in coordinates. The original function still retains its functional shape in the new coordinate system. That is,

3. Since   x' = x -3.  in  the old coordinate system,  the equation for the now-translated function becomes Conclusion:   In order to move a graph by +a, replace the variable by (x-a) in the original function. Exercise : Find the expression for the function when it has moved -5 units. What happens if we replace the x with x - 3 t ?   That is,       동영상 파일 What is the physical meaning of "3" in the above expression?

4. Harmonic Waves Waves that behave according to Sin or Cos functions are called harmonic waves. The function that produced this graph is   Review of the Sin function Now, we move this function as  

5. Let's take an example. l = 1 m,   v= 0.5 m/s. http://www.kettering.edu/~drussell/Demos/rad2/mdq.html 의 시간 특성 분석 계산 편의를 위해 x=0, A= 10를 가정해 보면 위 식은 다음과 같아진다. 거리 를 가는데 걸리는 _________

6. 파동의 일반적 표현 A : 진폭 Amplitude k: 각 파수 Angular Wavenumber : 각 진동수 Angular Frequency T = 0 T=1