Stationary Phase Approximation

Views Updated: Dec 15, 2025

Key Facts

Abbreviation
SPA
Pronunciation
/ˈsteɪʃəˌnɛri feɪz əˌprɑksəˈmeɪʃən/
Category
Miscellaneous
Related Field
Unclassified

Examples in Context

  1. A formula of the scattering amplitude acompanied by the emission or absorption of N photons is found by using the stationary phase approximation and frozen target model.
  2. The phase-shift formulae for preserved-amplitude wave field continuation can be obtained by stationary phase approximation for integral operation of DSR preserved-amplitude wave field continuation formulae in a condition of high-frequence hypothesis.
  3. To ensure accuracy of the result, the asymptotic expand is introduced for inner solution and carried out the stationary phase approximation.
  4. For the case of fast-sweeping fields, we derive an analytic expression for the tunneling probability with stationary phase approximation and show that the nonlinearity can dramatically influence the tunneling probability when the nonlinear " internal field " resonates with the external field.
  5. By using the complex analytic signal representation and the method of stationary phase, the propagation equation of ultrashort pulses in the far-field has been derived beyond the paraxial approximation, which allows for large angles in the far-field.

Other meanings of SPA