Surface containing the fast-ion velocity vectors for all values of the gyro-angle. It takes the form of a hyperboloid where is the gyro-angle, is the ion gyro-frequency and
| Type | Visibility | Attributes | Name | Initial | |||
|---|---|---|---|---|---|---|---|
| real(kind=Float64), | public | :: | v | = | 0.d0 | Particle speed |
|
| real(kind=Float64), | public | :: | omega | = | 0.d0 | Ion gyro-frequency |
|
| real(kind=Float64), | public, | dimension(3) | :: | axes | Semi-axes of the hyperboloid, i.e. a, b, c coefficients |
||
| real(kind=Float64), | public, | dimension(3) | :: | center | = | 0.d0 | Center of the gyrosurface |
| real(kind=Float64), | public, | dimension(3,3) | :: | A | = | 0.d0 | Coefficients of quartic surface i.e. |
| real(kind=Float64), | public, | dimension(3,3) | :: | basis | = | 0.d0 | Basis of coordinate system of gyrosurface |
type GyroSurface
!+ Surface containing the fast-ion velocity vectors for all values of the
!+ gyro-angle. It takes the form of a hyperboloid
!+ \((x(\gamma,t) = \alpha \sqrt{1-\rm{pitch}^2}(cos(\gamma + \pi/2) - \omega_i t sin(\gamma + \pi/2)) \)
!+ \((y(\gamma,t) = \alpha \sqrt{1-\rm{pitch}^2}(sin(\gamma + \pi/2) + \omega_i t cos(\gamma + \pi/2)) \)
!+ \((z(\gamma,t) = \alpha \omega_i \rm{pitch} t\)
!+ where \(\gamma\) is the gyro-angle, \(\omega_i\) is the ion
!+ gyro-frequency and \(\alpha = V/\omega_i \)
real(Float64) :: v = 0.d0
!+ Particle speed
real(Float64) :: omega = 0.d0
!+ Ion gyro-frequency
real(Float64), dimension(3) :: axes
!+ Semi-axes of the hyperboloid, i.e. a, b, c coefficients
real(Float64), dimension(3) :: center = 0.d0
!+ Center of the gyrosurface
real(Float64), dimension(3,3) :: A = 0.d0
!+ Coefficients of quartic surface i.e. `basis*diagm(1/a^2,1/b^2,1/c^2)*basis'`
real(Float64), dimension(3,3) :: basis = 0.d0
!+ Basis of coordinate system of gyrosurface
end type GyroSurface