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The optical source used in a fiber is an injection laser with a relative spectral width σλ/λ of 0.0011 at a wavelength of 0.70μm. Estimate the RMS spectral width.a.0.98 nmb.1.2 nmc.0.77 nmd.1.3 nm

Question

The optical source used in a fiber is an injection laser with a relative spectral width σλ/λ of 0.0011 at a wavelength of 0.70μm. Estimate the RMS spectral width.a.0.98 nmb.1.2 nmc.0.77 nmd.1.3 nm

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Solution

The RMS spectral width can be calculated using the given relative spectral width (σλ/λ) and the wavelength (λ). The formula to calculate the RMS spectral width (σλ) is:

σλ = σλ/λ * λ

Given that σλ/λ = 0.0011 and λ = 0.70μm = 700nm, we can substitute these values into the formula:

σλ = 0.0011 * 700nm = 0.77nm

So, the RMS spectral width is 0.77nm, which corresponds to option c.

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