Coherent Light from a Bulb?

The temporal coherence of light is intimately related to its optical bandwidth. Typically, thermal radiation is very broadband. If it is blackbody radiation, its spectrum is described by Planck's formula. At least for solid-state devices, one always expects a broadband spectrum, so there seems to be no way that a bulb could generate light with a high temporal coherence.

However, it is physically possible that even a solid-state surface exhibits strongly wavelength-dependent absorption and emission characteristics, so that the spectral shape of thermal radiation exhibits significant peaks and thus deviates strongly from a Planck-type shape. As an example, some Japanese researchers (see the above reference, Kusonoki et al.) have investigated microstructured tungsten surfaces (with a periodic array of microcavities), the emission of which exhibits strong peaks with a bandwidth well below 1 μm. Although this is still far from reaching the temporal coherence of a laser, it demonstrates that at least substantial increases of temporal coherence are possible for thermally generated light.

The poor spatial coherence of light from a bulb has relatively little to do with the process (thermal emission) which generates that light. The actual point is the large emitting surface. If one could reduce the emitting area to the order of a micron squared, the resulting spatial coherence would surpass that of various lasers. There are only two difficulties with a strategy of reducing the emitting area:

• It is technical difficult to obtain a very small and very hot body, which is electrically connected while avoiding that the heat quickly escapes via these connections. This consideration suggests the use of some contactless heating method, i.e., a departure from the principle of a simple bulb.
• Even if one could achieve a small emitting area, this would imply a low emitted power. Using the Stefan-Boltzmann law for blackbody radiation, assuming an emitting area of 1 μm² and a temperature of 3000 K (typical for an incandescent lamp), we would obtain a radiated power of only 4.6 μW. Higher temperatures would help a lot, as the power scales with the fourth power of the temperature, but there are obviously severe limits to that strategy.

At least in one dimension, the filament of a bulb may be fairly small. If the filament diameter is 0.1 mm and the filament is kept precisely straight, the beam quality of the emitted light at least in the direction perpendicular to the filament axis is roughly comparable with that of the slow axis direction of a high-power diode bar. Of course, in the other direction the beam quality is extremely poor, whereas the diode bar exhibits a fairly high beam quality in the fast axis direction.

How can laser light be spatially coherent even if the emitting area is large? This results from the laser process, which kind of coordinates the emission over the whole beam area. The laser resonator defines a set of resonator modes, and stimulated emission means that excited laser-active atoms or ions are forced to emit exactly into one mode or at least some limited number of modes.

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