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test01.f90
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program test
include 'mpif.h'
!implicit real*8 (a-h,o-z)
integer :: ierr, rank, size
character(len=MPI_MAX_PROCESSOR_NAME) :: processor_name
integer :: name_len
real*8 :: start_time, end_time
integer, parameter :: Npt = 1000
real*8, parameter :: emass = 0.511d6, gamma0 = 100d6/emass
real*8 :: beammat(Npt,6), k, freq, len, accgrad
real*8, parameter :: realnumptl = 200d-12/1.602d-19, q = realnumptl/Npt, m = 9.109d-31, c = 2.997d8
!# mpi run
call MPI_INIT(ierr)
call MPI_COMM_RANK(MPI_COMM_WORLD, rank, ierr)
call MPI_COMM_SIZE(MPI_COMM_WORLD, size, ierr)
call MPI_GET_PROCESSOR_NAME(processor_name, name_len, ierr)
start_time = MPI_Wtime()
!# main code
!## realnumptl is the real number particle
!## q is the charge of each macroparticle and also the number of e charge per macroparticle, unit is [e]
call read_data(Npt, beammat, ierr)
call linac(Npt, beammat, q, gamma0, 0.61685d0, 1.3d9, 20d0, 16d6)
call linac(Npt, beammat, q, gamma0, 0.61685d0, 3.9d9, 5d0, 10d6)
call compressor(Npt, beammat, 5d-2, 10d-2, 0.27416d0)
call linac(Npt, beammat, q, gamma0, 0.61685d0, 1.3d6, 200d0, 16d6)
call compressor(Npt, beammat, 5d-2, 20d-2, 0.27416d0)
call linac(Npt, beammat, q, gamma0, 0.61685d0, 1.3d6, 400d0, 16d6)
call postproc(Npt, q, gamma0,beammat)
call felpara(19706.471353056008d0, 200d-12, 1.8659722638074794d-3, 1d0, 3d-2, 30d0)
!# end of mpi run
end_time = MPI_Wtime()
total_time = end_time - start_time
if (rank == 0) then
print *, 'Total time: ', total_time, ' seconds with ', size, ' processes'
end if
call MPI_FINALIZE(ierr)
end program
!!! -----------------------------------------------------------------------
subroutine felpara(beamenergy, totalcharge, bunchlength, undK, lambdau, undlen)
implicit real*8 (a-h,o-z)
real*8, intent(in) :: beamenergy, totalcharge, bunchlength, undK, lambdau, undlen
real*8 :: lambda, duration, pc, power, undPeriod, bandwidth
real*8, parameter :: e = 1.602d-19, m = 9.109d-31, c = 2.997d8
lambda = lambdau * (1+ undK*undK /2d0) / (2d0 * beamenergy * beamenergy)
duration = bunchlength / c
pc = totalcharge / duration
power = pc * beamenergy * m * c * c / e
undPeriod = undlen / lambdau
bandwidth = lambda / undPeriod
print*, 'FEL estimation----------------------'
print*, 'wavelength', lambda
print*, 'power', power
print*, 'bandwidth', bandwidth
print*, '1/N_und = ', 1/undPeriod
end subroutine felpara
!!! -----------------------------------------------------------------------
subroutine compressor(Npt, beammat, R56, z, k)
implicit real*8 (a-h,o-z)
integer, intent(in) :: Npt
real*8, intent(inout) :: beammat(Npt,6)
real*8, intent(in) :: R56, z, k
real*8 :: trfmat(6,6), a, thisptl(6)
!match the transfer matrix
a = sqrt(k)
trfmat = 0d0
trfmat(1,1) = cos(a*z)
trfmat(1,2) = 1/a * (sin(a*z))
trfmat(2,1) = -a*sin((a*a)*z)
trfmat(2,2) = cos(a*z)
trfmat(3,3) = cos(a*z)
trfmat(3,4) = 1/a * (sin(a*z))
trfmat(4,3) = -a*sin(a*a*z)
trfmat(4,4) = cos(a*z)
trfmat(5,5) = 1
trfmat(5,6) = R56
trfmat(6,5) = 0
trfmat(6,6) = 1
do i = 1, Npt
thisptl = beammat(i,:)
!print*, shape(thisptl)
beammat(i,:) = matmul(trfmat,thisptl)
end do
end subroutine
!!! -----------------------------------------------------------------------
subroutine linac(Npt, beammat, q, gamma0, k, freq, len, accgrad)
implicit real*8 (a-h,o-z)
integer, intent(in) :: Npt
real*8, intent(inout) :: beammat(Npt,6)
real*8, intent(in) :: q, gamma0, k, freq, len, accgrad
!real*8, parameter :: m = 9.109d-31, c = 2.997d8, mc2 = m * c * c
real*8, parameter :: emass = 0.511d6
!\\\for energy is divided into the contribution of single electron
!need to seperate the length into two half
!the mutval is done by linactrfmat subroutine
!output the beammat
halflen = len/2d0
call linactrfmat(Npt, beammat, q, gamma0, k, freq, halflen, accgrad)
beammat(:,6) = beammat(:,6) + halflen * 1d0 * accgrad / emass
call linactrfmat(Npt, beammat, q, gamma0, k, freq, halflen, accgrad)
beammat(:,6) = beammat(:,6) + halflen * 1d0 * accgrad / emass
end subroutine
!!! -----------------------------------------------------------------------
subroutine linactrfmat(Npt, beammat, q, gamma0, k, freq, z, accgrad)
implicit real*8 (a-h,o-z)
integer, intent(in) :: Npt
real*8, intent(in) :: q, gamma0, k, freq, z, accgrad
real*8, intent(inout) :: beammat(Npt,6)
real*8 :: trfmat(6,6), thisptl(6)
real*8 :: gamma_square, beta_square, a
real*8, parameter :: m = 9.109d-31, c = 2.997d8
do i = 1,Npt
!construction of the linac matrix
gamma_square = (beammat(i,6) + gamma0) * (beammat(i,6) + gamma0)
beta_square = 1 - ( 1 / gamma_square )
a = sqrt(k)
trfmat = 0d0
trfmat(1,1) = cos(a*z)
trfmat(1,2) = 1/a * (sin(a*z))
trfmat(2,1) = -a*sin((a*a)*z)
trfmat(2,2) = cos(a*z)
trfmat(3,3) = cos(a*z)
trfmat(3,4) = 1/a * (sin(a*z))
trfmat(4,3) = -a*sin(a*a*z)
trfmat(4,4) = cos(a*z)
trfmat(5,5) = 1
trfmat(5,6) = (1/(gamma_square * beta_square)) * z
trfmat(6,5) = 0
trfmat(6,6) = 1
!perform the multval
thisptl = beammat(i,:)
beammat(i,:) = matmul(trfmat,thisptl)
end do
end subroutine
!!! -----------------------------------------------------------------------
subroutine postproc(Npt, q, gamma0,mat)
implicit real*8 (a-h,o-z)
integer, intent(in) :: Npt
real*8, intent(in) :: mat(Npt,6), q, gamma0
integer, parameter :: numbins = 10
integer :: i, hist(numbins)
real*8 :: bunchlength, energy, emitun, meanloc, sumdz, meane, sumde, mean_pp, mean_xx, mean_px, tlength
real*8 :: x(Npt), px(Npt), y(Npt), py(Npt), z(Npt), dg(Npt), dz(Npt), de(Npt), pp(Npt), xx(Npt), xp(Npt)
!\\\ energy is divided into single electron contributions
do i = 1, Npt
x(i) = mat(i,1)
px(i) = mat(i,2)
y(i) = mat(i,3)
py(i) = mat(i,4)
z(i) = mat(i,5)
dg(i) = mat(i,6)
end do
!# printout data to files
do i = 1, Npt
write(11,110) z(i)
write(12,110) z(i), dg(i) * 0.511
write(13,110) x(i), px(i), y(i), py(i)
enddo
!# parameters calculation
meanloc = sum(z) / Npt
dz = z - meanloc
do i = 1,Npt
dz(i) = dz(i) * dz(i)
enddo
sumdz = sum(dz)
rms_bunchlength = 2d0 * sqrt(sumdz/Npt)
energy = maxval(dg) + gamma0
meane = sum(dg) / Npt
de = dg - meane
do i =1, Npt
de(i) = de(i) * de(i)
enddo
sumde = sum(de)
energyspread = 2d0 * sqrt(sumde/Npt)
do i = 1, Npt
pp(i) = px(i)*px(i)
xx(i) = x(i)*x(i)
xp(i) = px(i)*x(i)
end do
mean_pp = sum(pp) / Npt
mean_xx = sum(xx) / Npt
mean_px = sum(xp) / Npt
emitun = sqrt(mean_pp * mean_xx - mean_px * mean_px)
!# printout the parameters to shell
print*, 'output parameters ------------------------------'
print*, 'rms bunch length', rms_bunchlength
print*, 'peak energy', energy
print*, 'rms energy spread', energyspread
print*, 'emittance', emitun
110 format(6(1x,e15.7))
end subroutine
!!! -----------------------------------------------------------------------
subroutine read_data(Npt, beammat, ierr)
implicit real*8 (a-h,o-z)
integer, intent(in) :: Npt
real*8, intent(out) :: beammat(Npt,6)
integer, intent(out) :: ierr
integer :: i
character(len=100) :: line
real*8 :: x, px, y, py, z, dg
ierr = 0
!# Open the file fort.10 for reading
open(unit=10, file='fort.10', status='old', action='read', iostat=ierr)
if (ierr /= 0) then
print *, "Error opening the file"
return
endif
!# Read the data line by line
do i = 1, Npt
read(10,'(A)', iostat=ierr) line
if (ierr /= 0) then
print *, "Error reading the file or end of file reached"
exit
endif
read(line, *) x, px, y, py, z, dg
beammat(i,1) = x
beammat(i,2) = px
beammat(i,3) = y
beammat(i,4) = py
beammat(i,5) = z
beammat(i,6) = dg
end do
close(10)
end subroutine read_data