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Residual pump diagnostics of lasing-state absorption in multipass pumped Yb:YAG thin-disk lasers

This paper presents a quasi-three-level rate-equation model validated by experiments on 32-pass pumped Yb:YAG thin-disk lasers, demonstrating that residual pump power serves as an accurate spatially integrated diagnostic for inversion-dependent absorption and enabling optimized design parameters for high-power scaling.

Original authors: Hanjin Jo, Jiří Mužík, Pawel Sikocinski, Michal Chyla, Yoann Levy, Martin Smrž, Tomáš Mocek

Published 2026-06-23
📖 5 min read🧠 Deep dive

Original authors: Hanjin Jo, Jiří Mužík, Pawel Sikocinski, Michal Chyla, Yoann Levy, Martin Smrž, Tomáš Mocek

Original paper licensed under CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

Imagine you are trying to fill a very specific, high-tech sponge (the laser's "gain medium") with water (the pump energy) to make it glow brightly. This sponge is made of a special crystal called Yb:YAG, and it's shaped like a thin disk. To get it to glow as a powerful laser, you don't just dump water on it once; you bounce the water stream back and forth across the sponge 32 times. This is called "multi-pass pumping."

The big challenge for the scientists is this: How much water does the sponge actually soak up while it's glowing?

If you just guess based on how thirsty the dry sponge is, you'll be wrong. Once the sponge starts glowing (lasing), it changes its own thirst. It also starts leaking energy in invisible ways (like heat and random light flashes). If you don't measure exactly how much water is left over after the 32 bounces, you can't design a laser that works efficiently or safely.

Here is how the paper explains their solution, using simple analogies:

1. The "Leftover Water" Detective

Instead of trying to measure the sponge's thirst directly (which is hard because the sponge is changing while you look at it), the scientists looked at the leftover water.

They set up a system where they shine a laser beam through the sponge 32 times. After the 32nd pass, they catch whatever light didn't get absorbed. They call this the "Residual Pump."

  • The Analogy: Imagine you have a bucket of water and a series of sponges. You pour the water over them. If you measure exactly how much water is left in the bucket at the end, you can work backward to figure out exactly how much the sponges drank, even if the sponges were squirming and changing shape while drinking.

2. The "Crowded Dance Floor" (Population Inversion)

Inside the crystal, there are atoms that act like dancers.

  • Non-Lasing (NL): When the laser is off, the dancers are mostly on the floor, waiting. The sponge is very "thirsty" and absorbs a lot of light.
  • Lasing (MM): When the laser turns on, the dancers jump up and start dancing wildly (this is "stimulated emission"). Because they are so busy dancing, they don't have time to absorb new light the same way. In fact, the laser light actually pushes them into a state where they absorb more pump light than they would if they were just sitting still.

The scientists built a computer model (a "quasi-three-level rate-equation model") to simulate this dance floor. They used the amount of "leftover water" (residual pump) to check if their model of the dancing atoms was correct.

3. The "Ghost Leaks" (Amplified Spontaneous Emission)

There's a tricky part: sometimes the atoms get excited and release light in random directions, not just the main laser beam. This is called ASE (Amplified Spontaneous Emission).

  • The Analogy: Imagine the dancers are so excited they start throwing confetti everywhere. Some of this confetti flies out the door (escaping energy), but some gets caught in the room and turns into heat.
    The scientists couldn't see this "confetti" directly, so they treated it as a "ghost leak" in their math. They tested two different scenarios: one where all the confetti stays inside and turns to heat, and one where some escapes. This gave them a range of how hot the crystal was getting.

4. What They Found

By comparing their "leftover water" measurements with their computer model, they found:

  • The Model Works: Their math predicted the leftover light with incredible accuracy (within about 2% error). This means they finally have a reliable way to know exactly how much energy the laser is absorbing while it's running.
  • The "Thirst" Changes: They proved that a laser's absorption isn't a fixed number. When the laser is running hard, it absorbs pump light differently than when it's just sitting there. If engineers design a laser using the "sitting still" numbers, they will be surprised by how much heat is generated.
  • Heat is Higher Than Expected: Because of these complex interactions (dancing atoms and ghost leaks), the heat generated inside the crystal is actually higher than simple physics formulas (called "quantum defect") would predict. This is crucial because too much heat can warp the crystal and ruin the laser beam.

5. Why This Matters for Design

The paper suggests that if you want to build a super-powerful laser, you can't just guess how many times to bounce the light (the "pass number") or how much to let out (the "output coupler").

  • The Analogy: If you are designing a highway, you can't just count the cars; you have to know how fast they are going and how much fuel they are burning.
  • The Result: The scientists showed that by using the "leftover water" measurement, you can fine-tune the laser design to get the most power out while keeping the heat manageable. They found that for their specific setup, you might need more than 50 bounces to get the most efficiency, rather than the standard 32, if you want to minimize wasted energy.

In short: The paper introduces a clever way to measure how much energy a high-power laser is actually using by looking at what it didn't use. This helps engineers build better, cooler, and more powerful lasers without guessing.

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