Hidden physics complicates the dream of launching sailing spacecraft to other stars

A new theoretical study points to another problem with interstellar light sails: As they approach relativistic speeds, the Doppler effect and the deflection of light reduce the efficiency of the thrust. One of the weak contributions of light even appears to have a component that behaves like drag.

Conceptual illustration of a diffractive solar sail. New research examines how light sails behave as they approach relativistic speeds. Credit: NASA / Grover Swartzlander
Conceptual illustration of a diffractive solar sail. New research examines how light sails behave as they approach relativistic speeds. Credit: NASA / Grover Swartzlander

A journey to another star cannot be based on ordinary chemical rockets. Even the fastest spacecraft launched by man will need tens of thousands of years to reach the nearest star system. Therefore, one of the most daring proposals in recent decades is the use of light sails: tiny spacecraft attached to a very thin and light sail, and accelerated by a powerful laser beam to speeds that today's rockets cannot achieve.

The idea is best known from the Breakthrough Starshot project, which seeks to explore the possibility of launching nanospacecraft to the Alpha Centauri system in decades instead of thousands of years. In such a scenario, a huge array of lasers would illuminate a tiny sail for a short time, and the pressure of the photons – particles of light – would accelerate the spacecraft to speeds that are a significant percentage of the speed of light.

But a new theoretical study, published on the arXiv server by Chao Shen and Jiaze Li of the Harbin Institute of Technology in China, points to another physical limitation that needs to be taken into account. According to the researchers, when a light sail approaches relativistic speeds, that is, speeds that are a significant fraction of the speed of light, light itself begins to behave differently from the sail's perspective than is commonly thought in simple calculations. The result is a decrease in thrust efficiency, and under certain conditions even the appearance of a small component of drag.

Light pushes – but not always with the same efficiency

A light sail moves because photons carry momentum. When a photon hits a surface, it transfers a little momentum to it. If the photon is absorbed, a small push is obtained; if it is reflected as if from a mirror, the momentum transfer is more efficient. In practice, even an ideal sail does not amount to one simple image. Researchers divide the effect of light into three components: light that strikes directly, light that is reflected back from a mirror, and light that undergoes absorption and redistribution in different directions.

At relatively low speeds, all of these components contribute to forward thrust. The problem begins when the sail has already moved away from the light source and is moving at very high speed. From the sail’s perspective, the light beam undergoes a strong shift to longer wavelengths due to the Doppler effect. Simply put, the light that the sail “feels” becomes redder and weaker in terms of its ability to transmit momentum. As speed increases, all of the thrust components weaken.

This is not a complete surprise: the relativistic Doppler effect is well known in physics. But the new study attempts to systematically break down the contribution of the different radiation components to the light velocity at very high speeds. The conclusion is that the acceleration cannot continue with the same efficiency throughout. Most of the increase in speed occurs in the early stages of acceleration, after which the efficiency of the thrust decreases.

When the dispersion becomes a drag

The most interesting point in the study concerns the weakest component of the thrust: diffuse scattering. This is a situation in which light is absorbed or scattered from the sail in different directions, and is not reflected in an orderly manner as from a mirror. According to the calculations, when the sail reaches a particularly high speed – around three-quarters of the speed of light – an effect called relativistic aberration of light appears.

In such a situation, from the perspective of an external observer, some of the scattered light is more inclined in the direction of the sail's movement. If light is emitted forward, the sail receives a counter-reaction backward. Therefore, the same component of scattering, which at low speeds contributed little to acceleration, may become at high speeds a component of drag.

It is important to emphasize: According to the study, the total power of the laser beam can still continue to accelerate the sail. There is no physical “wall” here that completely prevents acceleration. But there is an additional drop in efficiency, and it is especially important when planning missions where every gram, every watt, and every second of acceleration determines whether the mission is even possible.

Not just one problem

The new research deals only with radiative dynamics – that is, the interaction between light and the sail. It does not address all the other difficulties of interstellar light sails, and they are numerous. A tiny spacecraft traveling at a significant percentage of the speed of light must survive impacts from interstellar dust and gas. The sail must withstand extreme heating from a powerful laser beam. It must be kept stable within the laser beam, prevented from distorting, data must be transmitted back to Earth, and a laser array must be built on a scale that has not yet been attempted.

The material from which the sail is made cannot be a simple “perfect mirror.” In fact, engineers and materials scientists are exploring metamaterials, photonic crystals, and nanoscale structures that can reflect, refract, or scatter light in a controlled manner. Some of these materials may in the future be able to not only accelerate the spacecraft, but also help stabilize it within the beam.

This is where the research could be useful. If we better understand how scattered light behaves at relativistic speeds, it might be possible to design sails that not only reduce the negative effects, but also exploit them for stability and control. In other words, the same physics that complicates the journey could also become a design tool.

A distant dream, but a necessary calculation

Interstellar light sails are still a long way from being built and launched. There is a huge difference between demonstrations of solar sails in Earth orbit and a system that would accelerate a tiny spacecraft to relativistic speeds and send it to another star system. However, such theoretical studies are important because they reveal in advance limitations that cannot be seen in small experiments.

They also point out that interstellar travel is not just a matter of energy. Even if we build a powerful enough laser, we still need to understand optics, relativity, sail materials, interaction with interstellar dust, navigation, and communication. Any of these factors could become a critical limitation.

Shen and Li's research doesn't rule out the possibility of using light sails. It mostly sharpens the picture: As you approach the speed of light, light itself no longer pushes in a simple, intuitive way. To one day reach another star, we'll need not only new engines, but also a very precise understanding of the physics hidden within the light beam.

To the article in UniverseToday

Short FAQ:

What is a light sail?
A light sail is a very thin and light surface designed to move using the radiation pressure of light, such as sunlight or a powerful laser beam.

Why are light sails important for interstellar travel?
Because they don't need to carry heavy fuel, tiny spacecraft attached to them can reach speeds much higher than regular rockets.

What did the new study find?
The study found that when a light sail moves at relativistic speeds, the Doppler effect reduces the efficiency of the thrust, and at very high speeds some of the diffuse scattering of the light can become a drag component.

Does this mean that light sails won't work?
No. According to the study, the total force can still accelerate the sail. But the efficiency decreases, so these effects must be taken into account when planning interstellar missions.

What did the study not include?
The research focused solely on radiation. It did not include practical issues such as interstellar dust, gas, sail heating, material strength, and communication back to Earth.


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