How Does Resonance Occur with Wavelength and Layer Thickness?

AI Thread Summary
Resonance occurs when the wavelength of a wave is comparable to the thickness of a layer, meaning they should be within the same order of magnitude rather than being exactly equal. This is typically expressed mathematically, where both the wavelength and layer thickness can be represented as values of the form (a number between 1-10) x 10^b, with 'b' being the same in both cases. The discussion clarifies that resonance effects are significant when the size of the inhomogeneity matches the wavelength's order of magnitude. Understanding this relationship is crucial for analyzing wave behavior in various media. Overall, the key takeaway is the importance of comparing the orders of magnitude rather than seeking exact equality.
civil86
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What does the below senetence mean? I don't understand it, maybe because of my not so good english.

"When the wavelength becomes of the same order as the layer thickness, resonance occurs. "

Does it mean when the wavelenght and layer-thickness are exactly equal (e.g. both 0.1m)? Thanks.
 
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Most likely meaning within the same order of magnitude, e.g if the wavelength and thickness are both represented by:
(a number between 1-10) x 10^b
Both would be in the same order of magnitude if b was the same number in both cases.
 
Thanks. I think you got it right. Beacause this also could be found on the text I'm reading

"It was found that resonance effects become important when the size of the inhomogeneity has the order of magnitude of the wavelength."
 
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