- #1

LCSphysicist

- 646

- 162

- Homework Statement
- I will post below an image.

- Relevant Equations
- There is no actually.

See, to illustrate:

Let's suppose there is an incoming wave by x < 0, what is the problem?

It will find a bead in the string, so:

, x < 0

, x > 0

T and R are the transmitted and reflected coefficients.

Now suppose there is another bead in x = L. The problem is what happens 0 < x < L:

The transmitted wave will be reflected in bead 2, so this reflected wave will be reflected again in the first bead, and so go on...

How to deal with this problem? We really need to deal with this series?

Y = A(T + TR + TRR + TRRR + TRRRR + ...)

(i am just excluding the complex therms to illustrate what i am really asking

notation:

T = transmitted by the first

TR = transmitted by the first, reflected by the second

TRR = transmitted by the first, reflected by the second, reflected by the first

Let's suppose there is an incoming wave by x < 0, what is the problem?

It will find a bead in the string, so:

T and R are the transmitted and reflected coefficients.

Now suppose there is another bead in x = L. The problem is what happens 0 < x < L:

The transmitted wave will be reflected in bead 2, so this reflected wave will be reflected again in the first bead, and so go on...

How to deal with this problem? We really need to deal with this series?

Y = A(T + TR + TRR + TRRR + TRRRR + ...)

(i am just excluding the complex therms to illustrate what i am really asking

notation:

T = transmitted by the first

TR = transmitted by the first, reflected by the second

TRR = transmitted by the first, reflected by the second, reflected by the first

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