Question

Linewidth FWHM/MHz 10 10 3 4 102 53MHz 101 10° 0 10 1 102 CO? pressure / mbar 10 3 Figure 1: Line broadening in a CO2 laser as a function of gas pressure. The laser operates at 943.3 cm$^{-1}$. The lifetime of the upper lasing level is 1 × 10$^{-5}$s and the lifetime of the lower level is 20 ?s. Using the data in Figure 1 calculate the bandwidth, in MHz, of the least dominant broadening mechanism. Is your result consistent with the data shown in the figure above?

          Linewidth FWHM/MHz
10
10
3
4
102
53MHz
101
10°
0
10
1
102
CO? pressure / mbar
10
3
Figure 1: Line broadening in a CO2 laser as a function of gas pressure. The laser operates at
943.3 cm$^{-1}$. The lifetime of the upper lasing level is 1 × 10$^{-5}$s and the lifetime of the lower level is
20 ?s.
Using the data in Figure 1 calculate the bandwidth, in MHz, of the least dominant broadening
mechanism. Is your result consistent with the data shown in the figure above?

Linewidth FWHM/MHz
10
10
3
4
102
53MHz
101
10°
0
10
1
102
CO? pressure / mbar
10
3
Figure 1: Line broadening in a CO2 laser as a function of gas pressure. The laser operates at
943.3 cm^-1. The lifetime of the upper lasing level is 1 × 10^-5s and the lifetime of the lower level is
20 ?s.
Using the data in Figure 1 calculate the bandwidth, in MHz, of the least dominant broadening
mechanism. Is your result consistent with the data shown in the figure above?

Added by Laurie C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/06/2023

Step 1

The natural linewidth, Δν, can be calculated using the formula: Δν = 1 / (2π * τ) where τ is the lifetime of the upper lasing level. Δν = 1 / (2π * 1 * 10^(-5)) = 15.915 MHz Show more…

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Figure 1: Line broadening in a CO_(2) laser as a function of gas pressure. The laser operates at 943.3cm^(-1). The lifetime of the upper lasing level is 1 imes 10^(-5)s and the lifetime of the lower level is 20mu s. Using the data in Figure 1 calculate the bandwidth, in MHz, of the least dominant broadening mechanism. Is your result consistent with the data shown in the figure above? 10 10 Linewidth FWHM / MHz 10 53MHz 101 100 101 102 CO, pressure I mbar 103 Figure 1: Line broadening in a CO2 laser as a function of gas pressure. The laser operates at 943.3 cm-1. The lifetime of the upper lasing level is 1 10-5 s and the lifetime of the lower level is 20s. Using the data in Figure 1 calculate the bandwidth, in MHz, of the least dominant broadening mechanism. Is your result consistent with the data shown in the figure above?