Question about frequency versus wavelength

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    Frequency Wavelength
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Discussion Overview

The discussion revolves around the relationship between frequency and wavelength of light as it transitions between different media. Participants explore the invariance of frequency, the implications of energy conservation, and the potential for changing frequency through various methods, including nonlinear optics and hypothetical scenarios.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes that while the frequency of light remains invariant when passing between media, the wavelength decreases due to the change in speed, as described by the equation c = νλ.
  • Another participant asserts that the energy of a photon, which is determined by its frequency, must remain unchanged during this transition.
  • Concerns are raised about the possibility of a photon exchanging energy with its surroundings when moving between media.
  • There is a suggestion that changing the frequency of a photon could involve absorption and re-emission, potentially relating to fluorescence or phosphorescence.
  • A participant explains that the continuity of the wave at the boundary requires the frequency to remain the same on both sides of the interface.
  • Discussion includes the use of nonlinear optical materials to change the frequency of light, with examples provided, such as the generation of second harmonics in Nd:YAG lasers.
  • A hypothetical scenario is proposed where changing the index of refraction in a specific manner could alter frequency while keeping wavelength fixed, though uncertainty exists about the experimental realization of this idea.

Areas of Agreement / Disagreement

Participants express differing views on the mechanisms by which frequency can be changed and whether energy exchange occurs during the transition between media. The discussion remains unresolved regarding the practical implications and experimental validation of some proposed ideas.

Contextual Notes

Some claims depend on specific definitions of terms like frequency, wavelength, and energy, which may not be universally agreed upon. The discussion also touches on theoretical scenarios that may not have been experimentally verified.

noospace
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This is something I really should know but found I was unable to explain it to myself. When a ray of light passes from one medium to another its frequency remains invariant, but it slows down, forcing the wavelength to decrease according to [itex]c = \nu\lambda[/itex].

The frequency of the wave will correspond to the frequency of the elementary charged oscillators responsible for its production.
What is it about the frequency of the wave that leaves it unaffected, as opposed to the wavelength which is free to change? This leads me to a related question: is it practically possible to change the frequency of a ray of light, how would one do that anyway?
 
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Because the energy of a photon is dictated by its frequency, and not its wavelength, it must remain unchanged. As far as I know, anyway.
 
Conservation of energy eh? I like that explanation.

What assurance do we have that the photon does not exchange energy with its surroundings in passing from one medium to another?

Is it it possible to `bump up' the energy of a photon that is part of a self-propagating electromagnetic wave, thereby changing its frequency?
 
noospace said:
Is it it possible to `bump up' the energy of a photon that is part of a self-propagating electromagnetic wave, thereby changing its frequency?

I speak out of turn here but -

Seems to me, the photon would have to be absorbed and then another emitted at a different freq.

Which is fluorescence. Or is it phosphorescence?
 
It is really a simple classical effect. In going from one medium to another the wave boundary conditions at the interface must hold at all times. This requires the time dependence of the transmitted wave to be the same as that of the incident wave.
 
The wave has to be continuous across the boundary at all times. This can be true only if the wave oscillates at the same frequency on both sides.
 

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Nonlinear optical materials are used to convert laser light from one frequency to another. This is done by exploiting that fact that in a nonlinear material, the frequencies you get out do not necessarily equal the frequencies you put in.

Essentially, by shaking atoms hard enough, you can get them to wobble with additional frequency components, such as the second and third harmonics.

One widespread use of this phenomenon is in the use of Nd:YAG lasers (which have a wavelength of 1064 nm) to generate 532 nm (green) light via the generation of a second harmonic within a crystal such as Lithium Niobate.

Claude.
 
Normally you change medium at a fixed place and continuously in time. If you could change the index of refraction of an extended area, but at the same time, then the wavelength would stay fixed and the frequency would change. A cute thought problem, but I'm not certain if it has ever been done experimentally.
 

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