EPGStates{T <: Real}

Stores the EPG states in 3 vectors Fp,Fn and Z.

Constructors :

EPGStates(Fp::Vector{Complex{S}},Fn::Vector{Complex{S}},Z::Vector{Complex{S}}) where {S <: Real}
EPGStates(Fp::T=0,Fn::T=0,Z::T=1) where T <: Number

Fields

• Fp::Vector{Complex{T}}
• Fn::Vector{Complex{T}}
• Z::Vector{Complex{T}}

Related functions

• getStates(E::EPGStates) : extract EPG states as matrix 3xN

getStates(E::EPGStates)

Extract EPG states as matrix 3xN

epgDephasing!(E::EPGStates, n=1) where T

shifts the transverse dephasing states F corresponding to n dephasing-cycles. n can be any integer

epgRelaxation!(E::EPGStates,t,T1, T2)

applies relaxation matrices to a set of EPG states.

Arguments

• E::EPGStates
• t::AbstractFloat - length of time interval
• T1::AbstractFloat - T1
• T2::AbstractFloat - T2

epgRotation!(E::EPGStates, alpha::Float64, phi::Float64=0.0)

applies Bloch-rotation (<=> RF pulse) to a set of EPG states.

Arguments

• E::EPGStates`
• alpha::Float64 - flip angle of the RF pulse (rad)
• phi::Float64=0.0 - phase of the RF pulse (rad)

epgRotation!(E::EPGStates, R::Matrix)

applies rotation matrix from rfRotation function to the EPGStates

Arguments

• E::EPGStates`
• R::Matrix - rotation Matrix (rad)

rfRotation(alpha, phi=0.)

returns the rotation matrix for a pulse with flip angle alpha and phase phi.

Arguments

• alpha - flip angle (radian)
• phi=0. - phase of the flip angle (radian)