Calculating Electric Fields for H Atom Ionization with SFA

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SUMMARY

The discussion focuses on calculating the electric field strength (E0) for an H atom ionization scenario using the Strong Field Approximation (SFA). The user attempts to derive E0 from the intensity formula I=0.5Cε0E0², using a laser pulse with a wavelength of 800 nm and peak intensity of 1.0*10^14 W/cm². The calculated E0 value of 5.3*10^-6 V/m is significantly lower than the expected value of 0.1 V/m. Additionally, there is clarification sought regarding the energy spectra notation, specifically whether P represents probability density or probability.

PREREQUISITES
  • Understanding of Strong Field Approximation (SFA)
  • Familiarity with laser physics, specifically pulse intensity and wavelength
  • Knowledge of electric field calculations using formulas like I=0.5Cε0E0²
  • Basic concepts of quantum mechanics related to atomic ionization
NEXT STEPS
  • Research the derivation of electric field strength from laser intensity in the context of atomic physics
  • Study the implications of using the Strong Field Approximation in ionization processes
  • Learn about the relationship between probability density and probability in quantum mechanics
  • Explore advanced topics in laser-matter interaction and energy spectra analysis
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Physicists, laser researchers, and students studying atomic ionization processes, particularly those interested in the application of the Strong Field Approximation and electric field calculations in quantum mechanics.

ENDLESSYOU
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Hi! I have some trouble with atomic unit. I have a laser pulse with the wavelength of ##800 nm## at the
peak intensity of ##1.0*10^{14} W/cm^{2}##. I'd like to calculate the corresponding electric field ##E_0##. I use the formula ##I=0.5Cε_0{E_{0}}^2## and ##1 a.u.=5.14*10^{11} V/m## to obtain ##E_0=5.3*10^{-6}##, which is much smaller than the expected value 0.1.
Another question is about the energy spectra. It is written as ##\frac{\partial P}{\partial E}##. Is the P here means the probability density or the probability?
Thanks!
 
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Which units does E0 have and how did you calculate it? V/m is an electric field strength.
What do you mean with "expected value 0.1"?

Are you sure P is a probability, not a power? If yes, P would have to be a probability and its derivative in E is the density in E.
 

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