Reaching another star within a practical amount of time will require something far more capable than chemical rockets. One of the leading ideas is a solar sail, a large reflective structure that can be pushed by light. If extremely powerful lasers are aimed at such a sail, they could accelerate it to speeds well beyond what current propulsion systems can achieve.
But there may be an unexpected problem once a lightsail begins traveling at a significant fraction of the speed of light. According to a new paper on arXiv by Chao Shen and Jiaze Li of the Harbin Institute of Technology, the same light used to propel the sail could eventually produce a drag effect.
How Light Pushes a Solar Sail
The researchers separate the forces produced by photons striking a solar sail into three categories.
The strongest contribution comes from incident light (that raw momentum of the photons hitting the sail). Next is specular reflection (momentum imparted when photons bounce perfectly off the sail). The weakest contribution comes from diffuse scattering (momentum from photons that are absorbed by the sail then reemitted in random directions).
At relatively low speeds, these effects all contribute to pushing the sail forward. The situation becomes much more complicated once the spacecraft reaches relativistic velocities.
The Doppler Effect Weakens the Push
As the sail races away from the laser source, the light reaching it undergoes an increasingly strong Doppler shift. The frequency of the incoming light decreases, reducing the amount of thrust produced by all three components.
As a result, continued acceleration becomes progressively less efficient. The faster the sail travels, the harder it becomes for the laser to keep increasing its speed.
The situation changes even more dramatically once the lightsail reaches about 75% of the speed of light.
When Scattered Light Starts Creating Drag
At that speed, relativistic light aberration becomes important. From the viewpoint of a stationary observer on Earth, diffusely scattered light begins to be directed forward, toward the direction in which the sail is traveling.
Because every action has an equal and opposite reaction, that forward-directed radiation produces a force in the opposite direction. This means diffuse scattering (admittedly the weakest of the three forces) begins acting as drag once the sail passes roughly 75% of the speed of light.
The laser is still pushing the sail forward overall, so the total force does not become negative. However, the efficiency of the propulsion system drops substantially.
Real Solar Sails Would Face Even More Challenges
The study is focused specifically on radiative dynamics. It does not include nonradiative effects such as collisions and drag from interstellar gas or dust.
It also leaves out the thermal limits of real sail materials. A sail exposed to an extremely powerful laser could potentially overheat or even melt.
For simplicity, the researchers model the lightsail as an idealized mirror. Real spacecraft would likely use much more sophisticated materials.
Engineers are already investigating advanced metamaterials and photonic crystals designed for specific laser wavelengths. In principle, these materials might even take advantage of the aberration effects described in the study. They could help a lightsail automatically correct its orientation and stabilize its trajectory so that it remains centered within the laser beam.
The Long Road to Interstellar Flight
A fully operational interstellar solar sail is still far from becoming reality. Traveling across interstellar distances introduces many additional complications, including the curvature of spacetime, which the paper also simplifies out.
Even so, understanding these high-speed effects is an important part of determining how such spacecraft might eventually work. If humanity someday sends a probe to another star, engineers will need a detailed understanding of every force that could affect its journey.
