Confused about definitions in optics

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Discussion Overview

The discussion revolves around the definitions and calculations of spectral width and effective width in optics, particularly in relation to pulse width in both time and frequency domains. Participants explore the concepts of spectral width, its measurement, and the relationship between frequency bandwidth and spectral width.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant states that the width of a pulse is typically given in the time domain and refers to effective width.
  • Another participant defines spectral width as the wavelength interval where the magnitude of spectral components meets a specified fraction of the maximum value, mentioning the full width at half maximum (FWHM) as a common method of specification.
  • A participant provides an example involving a chart of spectral width for a laser versus an LED, illustrating the differences in peak sharpness and width.
  • There is a question about whether frequency bandwidth and spectral width are practically the same thing, indicating potential confusion or overlap in terminology.
  • A later reply reiterates the relationship between time and frequency domains, emphasizing the need for a Fourier transform to transition between them and mentions measuring bandwidth at half intensity (FWHM).

Areas of Agreement / Disagreement

Participants express varying degrees of understanding regarding the definitions and calculations of spectral width and effective width. There is no consensus on whether frequency bandwidth and spectral width are the same, indicating ongoing debate.

Contextual Notes

Some participants reference specific measurement methods and examples, but there are unresolved questions about the equivalence of terms and the implications of different definitions in practical applications.

cytochrome
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The width of a pulse is typically given in the time domain, correct? The effective width is the term to describe this.

What is the spectral width in the frequency domain?

How do you calculate spectral widths and effective widths?

Thanks for your time.
 
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From wiki:

spectral width is the wavelength interval over which the magnitude of all spectral components is equal to or greater than a specified fraction of the magnitude of the component having the maximum value.
In optical communications applications, the usual method of specifying spectral width is the full width at half maximum. This is the same convention used in bandwidth, defined as the frequency range where power drops by less than half (at most −3 dB).

http://en.wikipedia.org/wiki/Spectral_width

Imagine you have a chart where the X axis runs from 500 nm to 550 nm and the Y axis is the intensity. If you plot the spectral width of a 525 nm laser you will see a very sharp peak in the center of your graph. But it's not perfectly sharp, you still have a range of wavelengths other than 525 nm. If you replaced the laser with an LED you would see much shorter, broader peak, as the LED has a wider band it emits in.

Frequency domain just means that you are plotting your graph with frequency instead of time.

Does that help?
 
That helps a lot, thank you. For some reason I couldn't find that wiki article.

So are frequency bandwidth and spectral width practically the same thing?
 
cytochrome said:
The width of a pulse is typically given in the time domain, correct? The effective width is the term to describe this.

What is the spectral width in the frequency domain?

How do you calculate spectral widths and effective widths?

Thanks for your time.

In optics, a pulse is a wavepacket and during its duration the frequency of the wave may vary or not. You have to perform a Fourier transform to pass from the time domain to frequency domain or vice versa. Once you have your plot you generally measure the band width at half its intensity (full width at half maximum, FWHM)
 

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