Spatial Hole Burning
When counterpropagating narrow-bandwidth light waves are superimposed, they form a so-called standing-wave interference pattern, the period of which is half the wavelength. In a laser gain medium, this has two effects:
- The gain is saturated preferentially in the antinodes of the pattern.
- The resulting amplification is dominated by the excitation density in the antinodes, as the nodes are not “seen” by the light wave.
This can lead to a deformation of the spectral shape of the gain (→ inhomogeneous gain saturation), in particular to a gain saturation which is stronger for the wavelength of the saturated light field than for some other wavelengths.
Similarly, the loss spectrum of a saturable absorber medium can obtain a dip. The latter effect can occur e.g. in a rare-earth-doped fiber and is the basis for, e.g., the construction of an automatic tracking filter, as is sometimes used in the context of single-frequency fiber lasers.
Spatial hole burning can have various consequences for the operation of lasers:
- The effect can make it difficult to achieve single-frequency operation with standing-wave laser resonators, because the lasing mode experiences stronger gain saturation than competing non-lasing modes.
- The optical bandwidth of a free-running laser (with excitation of multiple axial modes) may be much larger, when the gain medium is near an end of the laser resonator, rather than e.g. in the middle. This is because resonator modes with similar optical frequencies have strongly overlapping intensity patterns near the resonator ends, but not in the middle of the resonator. The spatial variation of the interference contrast can be easily calculated when assuming a Gaussian optical spectrum .
- The effective broadening of the gain spectrum (increased gain bandwidth) sometimes leads to shorter (although often chirped) pulses in mode-locked lasers.
- When spatial hole burning occurs in a saturable absorber section e.g. of a fiber laser, this effect tends to stabilize single-frequency operation .
- Spatial hole burning can reduce the laser efficiency, when the excitation in the nodes can not be utilized. This effect may be avoided, however, if energy migration via inter-ion energy transfer occurs.
Note that ring resonators often allow counterpropagating waves in the laser medium to be avoided and thus spatial hole burning to be eliminated. Even in standing-wave (linear) resonators, spatial hole burning can be suppressed by the use of special polarization states (→ twisted-mode technique). Also note that the hole burning effect is suppressed for lasing with a sufficiently large bandwidth. This is often the case in, e.g., mode-locked lasers; here it is obvious already in the time domain that a circulating pulse can not overlap (interfere) with itself in the gain medium, unless the time for traveling from the gain medium to an end mirror and back again is comparable to or shorter than the pulse duration.
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|||C. Schäfer et al., “Effects of spatial hole burning in 888 nm pumped, passively mode-locked high-power Nd:YVO4 lasers”, Appl. Phys. B 102, 523 (2011), doi:10.1007/s00340-011-4409-3|
See also: gain saturation, interference, twisted-mode technique, single-frequency operation, The Photonics Spotlight 2006-09-03b, The Photonics Spotlight 2007-07-16
and other articles in the categories lasers, physical foundations
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