Analyze ultrashort pulses, beams, and Kerr effects. Compute fluence, electric field, Keldysh factor, and cutoff. Use clear inputs, exports, formulas, examples, and plain guidance.
| Item | Example Value |
|---|---|
| Pulse Energy | 30 µJ |
| Pulse Duration FWHM | 35 fs |
| Wavelength | 800 nm |
| Beam Radius | 25 µm |
| Linear Refractive Index | 1.0003 |
| Nonlinear Index | 3.000e-23 m²/W |
| Interaction Length | 10 mm |
| Ionization Potential / Bandgap | 15.76 eV |
| Repetition Rate | 1 kHz |
| Peak Power | 805,714,285.714 W |
| Peak Intensity | 8.2069e+13 W/cm² |
| B-Integral | 1.933714 rad |
| Keldysh Parameter | 1.267590 |
| Estimated HHG Cutoff | 31.306326 eV |
Peak power: Ppeak ≈ 0.94 × Epulse / τFWHM
Average power: Pavg = Epulse × repetition rate
Average fluence: F = Epulse / (πw²)
Peak fluence: F0 = 2Epulse / (πw²)
Peak intensity: I0 = 2Ppeak / (πw²)
Field amplitude: Efield = √[2I / (n₀cε₀)]
B-integral: B = (2π/λ) × n₂ × I × L
Ponderomotive energy: Up(eV) = 9.337 × 10-14 × I(W/cm²) × λ²(µm²)
Keldysh parameter: γ = √[Ip / (2Up)]
HHG cutoff estimate: Ecutoff = Ip + 3.17Up
Rayleigh range: zR = πw² / λ
Ultrafast and intense-field nonlinear optics links short pulses, high peak power, and nonlinear material response. Engineering work in this area often needs quick estimates before simulation or lab alignment. This page combines pulse, beam, and strong-field measures in one place.
The calculator starts from pulse energy, duration, wavelength, and beam radius. From those inputs, it estimates Gaussian peak power and on-axis peak intensity. It then extends the result to field amplitude, Kerr phase accumulation, and simple strong-field indicators.
B-integral helps estimate how much nonlinear phase may build through a medium. Large values can indicate spectral broadening, self-phase modulation, or a need to reduce length, intensity, or nonlinear index. That makes the value useful during design checks.
Ponderomotive energy and the Keldysh parameter help classify the interaction regime. When gamma is large, multiphoton behavior is stronger. When gamma approaches or drops below one, tunneling behavior becomes more important. This gives a practical first-pass view of field strength.
The HHG cutoff estimate gives a simple ceiling for high-order harmonic photon energy from the chosen field and target potential. It is not a full propagation or phase-matching model, but it is helpful for planning wavelength, focusing, and target choices.
Use the example table as a starting point, then refine inputs with your laboratory or design values. The graph adds a quick temporal pulse view, while the exports make it easier to share results with colleagues or include them in reports.
It estimates Gaussian peak power, average power, fluence, peak intensity, electric field amplitude, B-integral, ponderomotive energy, Keldysh parameter, HHG cutoff, photon energy, photon count, Rayleigh range, and confocal parameter from your pulse and beam inputs.
Many ultrafast systems are approximated well by Gaussian temporal and spatial profiles. That makes the calculator practical for first-pass engineering estimates, while still remaining simple enough for fast design checks and lab planning.
Enter the 1/e² Gaussian beam radius at focus or at the interaction region. Do not enter full diameter unless you first divide it by two. Consistent beam definition matters strongly for intensity and fluence estimates.
B-integral estimates accumulated nonlinear phase. Higher values can signal stronger self-phase modulation and rising risk of pulse distortion. It is useful for checking whether a chosen material length and intensity are reasonable.
Gamma much greater than one suggests multiphoton-dominated behavior. Gamma near one indicates transition behavior. Gamma below one points toward tunneling-like behavior. It is a quick regime indicator, not a complete physical model.
No. It is a simple estimate based on ionization potential and ponderomotive energy. Real harmonic generation also depends on propagation, phase matching, depletion, pulse shape, target density, and many experimental details.
Yes, as a first-pass estimator. For solids, the entered target potential can represent an effective bandgap. For gases, it can represent ionization potential. Always validate final designs with experiment or full simulation.
They make results easier to archive, compare, and share. You can save output during test runs, attach it to design notes, or send quick summaries to teammates without retyping every calculated value.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.