Stimulated Emission Calculator
Enter the Einstein B coefficient and radiation density. The Stimulated Emission Calculator instantly computes the stimulated emission rate and compares it to spontaneous emission.
About the Stimulated Emission Calculator
The Stimulated Emission Calculator is a precise, scientifically accurate tool that computes the rate of stimulated emission — the fundamental process predicted by Einstein in 1917 that made lasers possible. This Stimulated Emission Calculator implements the exact formula Rate = B₂₁ u(ν), where B₂₁ is the Einstein coefficient and u(ν) is the spectral energy density of the radiation field. Proudly supported by Agri Care Hub.
Scientific Formula
B₂₁ = Einstein coefficient for stimulated emission
u(ν) = spectral energy density (J/m³/Hz)
Ratio to spontaneous: B₂₁ u(ν) / A₂₁
Why This Calculator Is Essential
Stimulated emission is the heart of laser operation — an excited atom emits a photon identical to an incident photon, amplifying light coherently. It is crucial in: • All lasers (gas, solid-state, semiconductor) • Masers and astrophysical masers • Optical amplifiers and quantum optics • Quantum computing (stimulated Raman transitions) • Nonlinear optics and photon statistics Einstein's prediction of stimulated emission was revolutionary and earned him the description "the real father of the laser".
How to Use
- Enter the Einstein B₂₁ coefficient (from atomic data or previous calculations).
- Enter the spectral energy density u(ν) of the driving field.
- Optionally enter A₂₁ for comparison.
- Click “Calculate Stimulated Emission”.
When Should You Use This Tool?
- Laser physics and gain medium analysis
- Quantum optics experiments
- Astrophysics (maser emission)
- Atomic physics research
- Teaching Einstein coefficients and lasers
- Optical amplifier design
Scientific Foundation
Stimulated emission was predicted by Albert Einstein in 1917 as a consequence of detailed balance in light-matter interaction. The rate B₂₁ u(ν) is identical for absorption and stimulated emission, enabling population inversion and optical gain. Full theory at Stimulated Emission on Wikipedia and all quantum optics textbooks.
Conclusion
The Stimulated Emission Calculator brings Einstein's revolutionary prediction — the process that powers every laser — to your browser with perfect accuracy and beautiful design. Whether you’re a student discovering quantum optics, a researcher studying light amplification, or an engineer designing lasers, this tool delivers precise results every time. For more quantum tools, visit Agri Care Hub.