Conditional second-order channel equation
ω₀ and field normalization are constant; V is a weak scalar energy modulation and B is real symmetric positive definite. This is not a closed ASD master equation.
Based on the final manuscript · Chapter 5
ω₀ and field normalization are constant; V is a weak scalar energy modulation and B is real symmetric positive definite. This is not a closed ASD master equation.
Chapter reference: Ch. 5 (5.1.30) · ASD-BOOK-ddbade997b45
Source and ID
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Return to premises and derivationAdopted source, conditions and previous versions
Ch. 5 (5.1.30)
ω₀ and field normalization are constant; V is a weak scalar energy modulation and B is real symmetric positive definite. This is not a closed ASD master equation.
Conditions retained in this adoption
- Selected channel and stated initial/boundary conditions; action/energy matching retained
- Continuum, slow-envelope and detector approximations kept at their respective levels
Source locators: p1770 · p1803 · p1826 · p1833 · p1837 · p1841
Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e
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Previous source, retained as history
QM-0accdcbe7725 · Ch. 5 (5.1.30)
Dependencies
algebraExtended gapped branch required for an envelopeASD-WEB-QM-005Uses of this equation
Subsequent equationEnvelope equation before the slow-time approximationASD-WEB-QM-013DocumentHow Does a Spatial Field Yield an Effective Wave Equation?