Optics: Determine which of the following describe traveling waves

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Homework Help Overview

The discussion revolves around the characteristics of traveling waves in the context of wave equations. Participants are exploring the forms of wave equations and the implications of different mathematical expressions on the validity of these equations.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning the necessary characteristics of wave equations, particularly the role of linear terms and the impact of squaring terms within the equations. There is also inquiry into the direction of wave propagation based on the forms presented.

Discussion Status

The discussion is active, with participants providing insights into the forms of wave equations and questioning specific examples. Some guidance has been offered regarding the interpretation of squared terms as part of the function, but there is no explicit consensus on the validity of all examples presented.

Contextual Notes

Participants are considering the implications of different mathematical forms on the classification of waves, with some uncertainty regarding the interpretation of specific terms in the equations.

Shackleford
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I'm really rusty on waves. What characteristics am I looking for? With respect to its variables, doesn't a valid wave equation have to contain only linear terms in its argument(s)?

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Shackleford said:
I'm really rusty on waves. What characteristics am I looking for? With respect to its variables, doesn't a valid wave equation have to contain only linear terms in its argument(s)?

Yes, a wave has the form f(ax-bt).

ehild
 
ehild said:
Yes, a wave has the form f(ax-bt).

ehild

Yes, I know that.

It appears (d) is valid, but what about (a), (b), and (c)? I guess I'm not sure what the squares do. Of course, I recognize the form of the equation without the squares.
 
Last edited:
Having (ax±bt)2 shouldn't matter. The squaring can be considered to be part of function, f .
 
SammyS said:
Having (ax±bt)2 shouldn't matter. The squaring can be considered to be part of function, f .

Same goes for cos2, too?
 
Shackleford said:
Same goes for cos2, too?
Yes.
 
What about (b)? It has az2 - bt2.
 
If it is a traveling wave, in what direction does it travel? +z or -z?

ehild
 

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