gray/src/beams.f90
2022-05-11 01:15:04 +02:00

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module beams
use const_and_precisions, only : wp_, one
implicit none
contains
subroutine read_beam0(params, unit)
! Reads the wave launcher parameters for the simple case
! where w(z) and 1/R(z) are fixed.
use const_and_precisions, only : pi, vc=>ccgs_
use gray_params, only : antenna_parameters
use utils, only : get_free_unit
use logger, only : log_error
implicit none
! subroutine arguments
type(antenna_parameters), intent(inout) :: params
integer, intent(in), optional :: unit
! local variables
integer :: u
integer :: err
real(wp_) :: ak0,zrcsi,zreta
u = get_free_unit(unit)
open(unit=u, file=params%filenm, status='old', action='read', iostat=err)
if (err /= 0) then
call log_error('opening beams file ('//trim(params%filenm)//') failed!', &
mod='beams', proc="read_beam0")
call exit(1)
end if
read(u, *) params%fghz
read(u, *) params%pos
read(u, *) params%w, params%ri, params%phi(1)
close(u)
ak0 = 2.0e9_wp_* pi * params%fghz / vc
zrcsi = 0.5_wp_ * ak0 * params%w(1)**2
zreta = 0.5_wp_ * ak0 * params%w(2)**2
params%w(1) = params%w(1) * sqrt(1.0_wp_ + (params%ri(1)/zrcsi)**2)
params%w(2) = params%w(2) * sqrt(1.0_wp_ + (params%ri(2)/zreta)**2)
params%ri(1) = -params%ri(1) / (params%ri(1)**2 + zrcsi**2)
params%ri(2) = -params%ri(2) / (params%ri(2)**2 + zreta**2)
params%phi(2) = params%phi(1)
end subroutine read_beam0
subroutine read_beam1(params, unit)
! Reads the wave launcher parameters for the case
! where w(z, α) and 1/R(z, α) depend on the launcher angle α.
use gray_params, only : antenna_parameters
use simplespline, only : spli, difcs
use utils, only : get_free_unit,locate
use logger, only : log_error
implicit none
! subroutine arguments
type(antenna_parameters), intent(inout) :: params
integer, intent(in), optional :: unit
! local variables
integer :: u, iopt, ier, nisteer, i, k, ii
real(wp_) :: steer, dal
real(wp_), dimension(:), allocatable :: &
alphastv, betastv, x00v, y00v, &
z00v, waist1v, waist2v, rci1v, rci2v, phi1v, phi2v, &
cbeta, cx0, cy0, cz0, cwaist1, cwaist2, &
crci1, crci2, cphi1, cphi2
integer :: err
u = get_free_unit(unit)
open(unit=u, file=params%filenm, status='old', action='read', iostat=err)
if (err /= 0) then
call log_error('opening beams file ('//trim(params%filenm)//') failed!', &
mod='beams', proc="read_beam1")
call exit(1)
end if
read(u,*) params%fghz
read(u,*) nisteer
allocate(alphastv(nisteer), betastv(nisteer), waist1v(nisteer), &
waist2v(nisteer), rci1v(nisteer), rci2v(nisteer), &
phi1v(nisteer), phi2v(nisteer), x00v(nisteer), &
y00v(nisteer), z00v(nisteer), cbeta(4*nisteer), &
cx0(4*nisteer), cy0(4*nisteer), cz0(4*nisteer), &
cwaist1(4*nisteer), cwaist2(4*nisteer), crci1(4*nisteer), &
crci2(4*nisteer), cphi1(4*nisteer), cphi2(4*nisteer))
do i=1,nisteer
read(u, *) steer, alphastv(i), betastv(i), &
x00v(i), y00v(i), z00v(i), &
waist1v(i), waist2v(i), &
rci1v(i), rci2v(i), &
phi1v(i), phi2v(i)
end do
close(u)
! initial beam data measured in mm -> transformed to cm
x00v = 0.1_wp_ * x00v
y00v = 0.1_wp_ * y00v
z00v = 0.1_wp_ * z00v
waist1v = 0.1_wp_ * waist1v
waist2v = 0.1_wp_ * waist2v
rci1v = 10._wp_ * rci1v
rci2v = 10._wp_ * rci2v
iopt = 0
call difcs(alphastv, betastv, nisteer, iopt, cbeta, ier)
call difcs(alphastv, waist1v, nisteer, iopt, cwaist1, ier)
call difcs(alphastv, rci1v, nisteer, iopt, crci1, ier)
call difcs(alphastv, waist2v, nisteer, iopt, cwaist2, ier)
call difcs(alphastv, rci2v, nisteer, iopt, crci2, ier)
call difcs(alphastv, phi1v, nisteer, iopt, cphi1, ier)
call difcs(alphastv, phi2v, nisteer, iopt, cphi2, ier)
call difcs(alphastv, x00v, nisteer, iopt, cx0, ier)
call difcs(alphastv, y00v, nisteer, iopt, cy0, ier)
call difcs(alphastv, z00v, nisteer, iopt, cz0, ier)
if((params%alpha > alphastv(1)) .and. (params%alpha < alphastv(nisteer))) then
call locate(alphastv, nisteer, params%alpha , k)
dal = params%alpha - alphastv(k)
params%beta = spli(cbeta, nisteer, k, dal)
params%pos(1) = spli(cx0, nisteer, k, dal)
params%pos(2) = spli(cy0, nisteer, k, dal)
params%pos(3) = spli(cz0, nisteer, k, dal)
params%w(1) = spli(cwaist1, nisteer, k, dal)
params%w(2) = spli(cwaist2, nisteer, k, dal)
params%ri(1) = spli(crci1, nisteer, k, dal)
params%ri(2) = spli(crci2, nisteer, k, dal)
params%phi(1) = spli(cphi1, nisteer, k, dal)
params%phi(2) = spli(cphi2, nisteer, k, dal)
else
! params%alpha outside table range
if(params%alpha >= alphastv(nisteer)) ii=nisteer
if(params%alpha <= alphastv(1)) ii=1
params%alpha = alphastv(ii)
params%beta = betastv(ii)
params%pos(1) = x00v(ii)
params%pos(2) = y00v(ii)
params%pos(3) = z00v(ii)
params%w(1) = waist1v(ii)
params%w(2) = waist2v(ii)
params%ri(1) = rci1v(ii)
params%ri(2) = rci2v(ii)
params%phi(1) = phi1v(ii)
params%phi(2) = phi2v(ii)
end if
deallocate(alphastv, betastv, waist1v, waist2v, rci1v, rci2v, &
phi1v, phi2v, x00v, y00v, z00v, cbeta, &
cx0, cy0, cz0, cwaist1, cwaist2, &
crci1, crci2, cphi1, cphi2)
end subroutine read_beam1
subroutine read_beam2(params, beamid, unit)
! Reads the wave launcher parameters for the general case
! where w(z, α, β) and 1/R(z, α, β) depend on the launcher angles α, β.
use gray_params, only : antenna_parameters
use utils, only : get_free_unit, intlin, locate
use reflections, only : inside
use dierckx, only : curfit, splev, surfit, bispev
use logger, only : log_error
implicit none
! subroutine arguments
type(antenna_parameters), intent(inout) :: params
integer, intent(in) :: beamid
integer, intent(in), optional :: unit
! local variables
character(len=20) :: beamname
integer :: u
integer :: i, ier, nisteer, fdeg, jumprow, nbeam, nalpha, nbeta
integer :: iopt, incheck, nxcoord, nycoord, nxest, nyest, lwrk, kwrk
integer :: nxwaist1, nywaist1, nxwaist2, nywaist2, nxrci1, nyrci1, nxrci2
integer :: nyrci2, nxphi1, nyphi1, nxphi2, nyphi2, nxx0, nyx0, nxy0, nyy0
integer :: nxz0, nyz0, kx, ky, ii, npolyg, nmax, lwrk2, in
integer :: nxycoord
integer, DIMENSION(:), ALLOCATABLE :: iwrk
real(wp_) :: alphast,betast, waist1, waist2, rci1, rci2, phi1, phi2
real(wp_) :: fp, minx, maxx, miny, maxy, eps, xcoord0, ycoord0
real(wp_), DIMENSION(:), ALLOCATABLE :: x00v, y00v, z00v, alphastv, &
betastv, waist1v, waist2v, rci1v, rci2v, phi1v, phi2v, xcoord, &
ycoord, wrk, txwaist1, tywaist1, txwaist2, tywaist2, &
txrci1, tyrci1, txrci2, tyrci2, txphi1, typhi1, txphi2, typhi2, &
txx0, tyx0, txy0, tyy0, txz0, tyz0, txycoord, cycoord, cwaist1, &
cwaist2, crci1, crci2, cphi1,cphi2, cx0, cy0, cz0, w, wrk2, &
xpolyg, ypolyg, xpolygA, ypolygA, xpolygB, ypolygB, xpolygC, &
ypolygC, xpolygD, ypolygD, xoutA, youtA, xoutB, youtB, xoutC, youtC
real(wp_), DIMENSION(4) :: xvert, yvert
real(wp_), dimension(1) :: fi
integer, parameter :: kspl=1
real(wp_), parameter :: sspl=0.01_wp_
integer :: err
u = get_free_unit(unit)
open(unit=u, file=params%filenm, status='old', action='read', iostat=err)
if (err /= 0) then
call log_error('opening beams file ('//trim(params%filenm)//') failed!', &
mod='beams', proc="read_beam1")
call exit(1)
end if
!=======================================================================================
! # of beams
read(u,*) nbeam
!
! unused beams' data
jumprow=0
! c====================================================================================
do i=1,beamid-1
read(u,*) beamname, params%iox, params%fghz, nalpha, nbeta
jumprow = jumprow+nalpha*nbeta
end do
! c====================================================================================
!
! beam of interest
read(u,*) beamname, params%iox, params%fghz, nalpha, nbeta
!
! c====================================================================================
! unused beams' data grids
do i=1,(nbeam - beamid)
read(u,*) beamname
end do
do i=1,jumprow
read(u,*) alphast,betast,params%pos(1),params%pos(2),params%pos(3),waist1,waist2,rci1,rci2,phi1,phi2
end do
! c====================================================================================
!
! # of elements in beam data grid
nisteer = nalpha*nbeta
!
allocate(alphastv(nisteer),betastv(nisteer),waist1v(nisteer), &
waist2v(nisteer),rci1v(nisteer),rci2v(nisteer),phi1v(nisteer), &
phi2v(nisteer),x00v(nisteer),y00v(nisteer),z00v(nisteer), &
xcoord(nisteer),ycoord(nisteer))
!
! c====================================================================================
! beam data grid reading
do i=1,nisteer
read(u,*) alphast,betast,params%pos(1),params%pos(2),params%pos(3),waist1,waist2,rci1,rci2,phi1,phi2
!
! initial beam data (params%pos(1), params%pos(2), params%pos(3)) are measured in mm -> transformed to cm
x00v(i)=0.1d0*params%pos(1)
y00v(i)=0.1d0*params%pos(2)
z00v(i)=0.1d0*params%pos(3)
alphastv(i)=alphast
betastv(i)=betast
waist1v(i)=0.1d0*waist1
rci1v(i)=1.0d1*rci1
waist2v(i)=0.1d0*waist2
rci2v(i)=1.0d1*rci2
phi1v(i)=phi1
phi2v(i)=phi2
end do
close(u)
! c====================================================================================
!
! fdeg = 0 alpha, beta free variables
! 1 alpha free variable
! 2 beta free variable
! 3 no free variables
fdeg = 2*(1/nalpha) + 1/nbeta
!#######################################################################################
!
! no free variables
if(fdeg.eq.3) then
params%alpha=alphastv(1)
params%beta=betastv(1)
params%pos(1)=x00v(1)
params%pos(2)=y00v(1)
params%pos(3)=z00v(1)
params%w(1)=waist1v(1)
params%w(2)=waist2v(1)
params%ri(1)=rci1v(1)
params%ri(2)=rci2v(1)
params%phi(2)=phi1v(1)
params%phi(1)=phi2v(1)
deallocate(alphastv,betastv,waist1v,waist2v,rci1v,rci2v,phi1v, &
phi2v,x00v,y00v,z00v,xcoord,ycoord)
return
end if
!#######################################################################################
!
!
!#######################################################################################
if(fdeg.eq.2) then
! beta = independent variable
! alpha = dependent variable
xcoord = betastv
ycoord = alphastv
xcoord0 = params%beta
ycoord0 = params%alpha
kx=min(nbeta-1,kspl)
! c====================================================================================
else
! c====================================================================================
! alpha = independent variable
! beta = dependent/independent (fdeg = 1/0)
xcoord = alphastv
ycoord = betastv
xcoord0 = params%alpha
ycoord0 = params%beta
nxcoord = nalpha
nycoord = nbeta
kx=min(nalpha-1,kspl)
ky=min(nbeta-1,kspl)
end if
!#######################################################################################
!
iopt = 0
incheck = 0
!
!#######################################################################################
if(fdeg.ne.0) then
nxest = kx + nxcoord + 1
lwrk = (nxcoord*(kx+1)+nxest*(7+3*kx))
kwrk = nxest
allocate(cycoord(nxest), txycoord(nxest), cwaist1(nxest), &
txwaist1(nxest), cwaist2(nxest), txwaist2(nxest), &
crci1(nxest), txrci1(nxest), crci2(nxest), txrci2(nxest), &
cphi1(nxest), txphi1(nxest), cphi2(nxest), txphi2(nxest), &
cx0(nxest), txx0(nxest), cy0(nxest), txy0(nxest), &
cz0(nxest), txz0(nxest), w(nxcoord), wrk(lwrk), iwrk(kwrk))
!
w = 1.d0
!
! 2D interpolation
call curfit(iopt,nxcoord,xcoord,ycoord,w, &
xcoord(1),xcoord(nxcoord),kx,sspl,nxest,nxycoord, &
txycoord,cycoord,fp,wrk,lwrk,iwrk,ier)
!
call curfit(iopt,nxcoord,xcoord,waist1v,w, &
xcoord(1),xcoord(nxcoord),kx,sspl,nxest,nxwaist1, &
txwaist1,cwaist1,fp,wrk,lwrk,iwrk,ier)
!
call curfit(iopt,nxcoord,xcoord,waist2v,w, &
xcoord(1),xcoord(nxcoord),kx,sspl,nxest,nxwaist2, &
txwaist2,cwaist2,fp,wrk,lwrk,iwrk,ier)
!
call curfit(iopt,nxcoord,xcoord,rci1v,w, &
xcoord(1),xcoord(nxcoord),kx,sspl,nxest,nxrci1, &
txrci1,crci1,fp,wrk,lwrk,iwrk,ier)
!
call curfit(iopt,nxcoord,xcoord,rci2v,w, &
xcoord(1),xcoord(nxcoord),kx,sspl,nxest,nxrci2, &
txrci2,crci2,fp,wrk,lwrk,iwrk,ier)
!
call curfit(iopt,nxcoord,xcoord,phi1v,w, &
xcoord(1),xcoord(nxcoord),kx,sspl,nxest,nxphi1, &
txphi1,cphi1,fp,wrk,lwrk,iwrk,ier)
!
call curfit(iopt,nxcoord,xcoord,phi2v,w, &
xcoord(1),xcoord(nxcoord),kx,sspl,nxest,nxphi2, &
txphi2,cphi2,fp,wrk,lwrk,iwrk,ier)
!
call curfit(iopt,nxcoord,xcoord,x00v,w, &
xcoord(1),xcoord(nxcoord),kx,sspl,nxest,nxx0, &
txx0,cx0,fp,wrk,lwrk,iwrk,ier)
!
call curfit(iopt,nxcoord,xcoord,y00v,w, &
xcoord(1),xcoord(nxcoord),kx,sspl,nxest,nxy0, &
txy0,cy0,fp,wrk,lwrk,iwrk,ier)
!
call curfit(iopt,nxcoord,xcoord,z00v,w, &
xcoord(1),xcoord(nxcoord),kx,sspl,nxest,nxz0, &
txz0,cz0,fp,wrk,lwrk,iwrk,ier)
!
! check if xcoord0 is out of table range
! incheck = 1 inside / 0 outside
if(xcoord0.gt.xcoord(1).and.xcoord0.lt.xcoord(nisteer)) incheck=1
! c====================================================================================
else
! c====================================================================================
npolyg = 2*(nxcoord+nycoord-2)
minx = minval(xcoord)
maxx = maxval(xcoord)
miny = minval(ycoord)
maxy = maxval(ycoord)
nxest = 2*(kx + 1)
nyest = 2*(ky + 1)
nmax = max(nxest,nyest)+max(kx,ky)
eps = 10.**(-8)
lwrk = (nmax-2)**2*(7*nmax-2)+18*nmax+8*nisteer-19
lwrk2 = (nmax-2)**2*(4*nmax-1)+4*nmax-2
kwrk = nisteer+(nmax-3)*(nmax-3)
allocate(cwaist1(nxest*nyest), txwaist1(nmax), tywaist1(nmax), &
cwaist2(nxest*nyest), txwaist2(nmax), tywaist2(nmax), &
crci1(nxest*nyest), txrci1(nmax), tyrci1(nmax), &
crci2(nxest*nyest), txrci2(nmax), tyrci2(nmax), &
cphi1(nxest*nyest), txphi1(nmax), typhi1(nmax), &
cphi2(nxest*nyest), txphi2(nmax), typhi2(nmax), &
cx0(nxest*nyest), txx0(nmax), tyx0(nmax), &
cy0(nxest*nyest), txy0(nmax), tyy0(nmax), &
cz0(nxest*nyest), txz0(nmax), tyz0(nmax), &
wrk(lwrk), wrk2(lwrk2), iwrk(kwrk), &
xpolyg(npolyg), ypolyg(npolyg), w(nisteer))
!
w = 1.d0
!
! 3D interpolation
call surfit(iopt,nisteer,xcoord,ycoord,waist1v,w, &
minx,maxx,miny,maxy,kx,ky,sspl,nxest,nyest,nmax,eps, &
nxwaist1,txwaist1,nywaist1,tywaist1,cwaist1,fp,wrk,lwrk,wrk2,lwrk2,iwrk,kwrk,ier)
!
call surfit(iopt,nisteer,xcoord,ycoord,waist2v,w, &
minx,maxx,miny,maxy,kx,ky,sspl,nxest,nyest,nmax,eps, &
nxwaist2,txwaist2,nywaist2,tywaist2,cwaist2,fp,wrk,lwrk,wrk2,lwrk2,iwrk,kwrk,ier)
!
call surfit(iopt,nisteer,xcoord,ycoord,rci1v,w, &
minx,maxx,miny,maxy,kx,ky,sspl,nxest,nyest,nmax,eps, &
nxrci1,txrci1,nyrci1,tyrci1,crci1,fp,wrk,lwrk,wrk2,lwrk2,iwrk,kwrk,ier)
!
call surfit(iopt,nisteer,xcoord,ycoord,rci2v,w, &
minx,maxx,miny,maxy,kx,ky,sspl,nxest,nyest,nmax,eps, &
nxrci2,txrci2,nyrci2,tyrci2,crci2,fp,wrk,lwrk,wrk2,lwrk2,iwrk,kwrk,ier)
!
call surfit(iopt,nisteer,xcoord,ycoord,phi1v,w, &
minx,maxx,miny,maxy,kx,ky,sspl,nxest,nyest,nmax,eps, &
nxphi1,txphi1,nyphi1,typhi1,cphi1,fp,wrk,lwrk,wrk2,lwrk2,iwrk,kwrk,ier)
!
call surfit(iopt,nisteer,xcoord,ycoord,phi2v,w, &
minx,maxx,miny,maxy,kx,ky,sspl,nxest,nyest,nmax,eps, &
nxphi2,txphi2,nyphi2,typhi2,cphi2,fp,wrk,lwrk,wrk2,lwrk2,iwrk,kwrk,ier)
!
call surfit(iopt,nisteer,xcoord,ycoord,x00v,w, &
minx,maxx,miny,maxy,kx,ky,sspl,nxest,nyest,nmax,eps, &
nxx0,txx0,nyx0,tyx0,cx0,fp,wrk,lwrk,wrk2,lwrk2,iwrk,kwrk,ier)
!
call surfit(iopt,nisteer,xcoord,ycoord,y00v,w, &
minx,maxx,miny,maxy,kx,ky,sspl,nxest,nyest,nmax,eps, &
nxy0,txy0,nyy0,tyy0,cy0,fp,wrk,lwrk,wrk2,lwrk2,iwrk,kwrk,ier)
!
call surfit(iopt,nisteer,xcoord,ycoord,z00v,w, &
minx,maxx,miny,maxy,kx,ky,sspl,nxest,nyest,nmax,eps, &
nxz0,txz0,nyz0,tyz0,cz0,fp,wrk,lwrk,wrk2,lwrk2,iwrk,kwrk,ier)
! data range polygon
xpolyg(1:nxcoord) = xcoord(1:nxcoord)
ypolyg(1:nxcoord) = ycoord(1:nxcoord)
!
! c====================================================================================
do i=1,nycoord-2
xpolyg(nxcoord+i) = xcoord((i+1)*nxcoord)
xpolyg(2*nxcoord+nycoord-2+i) = xcoord((nycoord-i-1)*nxcoord+1)
ypolyg(nxcoord+i) = ycoord((i+1)*nxcoord)
ypolyg(2*nxcoord+nycoord-2+i) = ycoord((nycoord-i-1)*nxcoord+1)
end do
! c====================================================================================
do i=1,nxcoord
xpolyg(nxcoord+nycoord-2+i) = xcoord(nxcoord*nycoord-i+1)
ypolyg(nxcoord+nycoord-2+i) = ycoord(nxcoord*nycoord-i+1)
end do
! c====================================================================================
!
! check if (xcoord0, ycoord0) is out of table range
! incheck = 1 inside / 0 outside
if(inside(xpolyg,ypolyg,npolyg,xcoord0,ycoord0)) incheck = 1
end if
deallocate(wrk,iwrk)
!#######################################################################################
!
!
!#######################################################################################
if(fdeg.ne.0) then
! c====================================================================================
if(incheck.eq.1) then
call splev(txycoord,nxycoord,cycoord,kx,(/xcoord0/),fi,1,ier)
ycoord0=fi(1)
call splev(txwaist1,nxwaist1,cwaist1,kx,(/xcoord0/),fi,1,ier)
params%w(1)=fi(1)
call splev(txwaist2,nxwaist2,cwaist2,kx,(/xcoord0/),fi,1,ier)
params%w(2)=fi(1)
call splev(txrci1,nxrci1,crci1,kx,(/xcoord0/),fi,1,ier)
params%ri(1)=fi(1)
call splev(txrci2,nxrci2,crci2,kx,(/xcoord0/),fi,1,ier)
params%ri(2)=fi(1)
call splev(txphi1,nxphi1,cphi1,kx,(/xcoord0/),fi,1,ier)
params%phi(2)=fi(1)
call splev(txphi2,nxphi2,cphi2,kx,(/xcoord0/),fi,1,ier)
params%phi(1)=fi(1)
call splev(txx0,nxx0,cx0,kx,(/xcoord0/),fi,1,ier)
params%pos(1)=fi(1)
call splev(txy0,nxy0,cy0,kx,(/xcoord0/),fi,1,ier)
params%pos(2)=fi(1)
call splev(txz0,nxz0,cz0,kx,(/xcoord0/),fi,1,ier)
params%pos(3)=fi(1)
! c----------------------------------------------------------------------------------
else
! c----------------------------------------------------------------------------------
if(xcoord0.ge.xcoord(nisteer)) ii=nisteer
if(xcoord0.le.xcoord(1)) ii=1
!
xcoord0=xcoord(ii)
ycoord0=ycoord(ii)
params%pos(1)=x00v(ii)
params%pos(2)=y00v(ii)
params%pos(3)=z00v(ii)
params%w(1)=waist1v(ii)
params%w(2)=waist2v(ii)
params%ri(1)=rci1v(ii)
params%ri(2)=rci2v(ii)
params%phi(2)=phi1v(ii)
params%phi(1)=phi2v(ii)
end if
! c====================================================================================
else
! c====================================================================================
if(incheck.eq.0) then
allocate(xpolygA(nxcoord), ypolygA(nxcoord), xpolygC(nxcoord), &
ypolygC(nxcoord), xpolygB(nycoord), ypolygB(nycoord), &
xpolygD(nycoord), ypolygD(nycoord), &
xoutA(nxcoord+3), youtA(nxcoord+3), xoutB(nycoord+3), &
youtB(nycoord+3), xoutC(nxcoord+3), youtC(nxcoord+3))
! coordinates of vertices v1,v2,v3,v4
xvert(1) = xpolyg(1)
xvert(2) = xpolyg(nxcoord)
xvert(3) = xpolyg(nxcoord+nycoord-1)
xvert(4) = xpolyg(2*nxcoord+nycoord-2)
yvert(1) = ypolyg(1)
yvert(2) = ypolyg(nxcoord)
yvert(3) = ypolyg(nxcoord+nycoord-1)
yvert(4) = ypolyg(2*nxcoord+nycoord-2)
! coordinates of side A,B,C,D
xpolygA = xpolyg(1:nxcoord)
ypolygA = ypolyg(1:nxcoord)
xpolygB = xpolyg(nxcoord:nxcoord+nycoord-1)
ypolygB = ypolyg(nxcoord:nxcoord+nycoord-1)
xpolygC = xpolyg(nxcoord+nycoord-1:2*nxcoord+nycoord-2)
ypolygC = ypolyg(nxcoord+nycoord-1:2*nxcoord+nycoord-2)
xpolygD(1:nycoord-1) = xpolyg(2*nxcoord+nycoord-2:npolyg)
xpolygD(nycoord) = xpolyg(1)
ypolygD(1:nycoord-1) = ypolyg(2*nxcoord+nycoord-2:npolyg)
ypolygD(nycoord) = ypolyg(1)
! contour of outside regions A (1,2), B(3,4), C(5,6)
xoutA = huge(one)
xoutA(1:nxcoord) = xpolygA
xoutA(nxcoord+3) = xvert(1)
youtA = -huge(one)
youtA(1:nxcoord) = ypolygA
youtA(nxcoord+1) = yvert(2)
xoutB = huge(one)
xoutB(1:nycoord) = xpolygB
xoutB(nycoord+1) = xvert(3)
youtB = huge(one)
youtB(1:nycoord) = ypolygB
youtB(nycoord+3) = yvert(2)
xoutC = -huge(one)
xoutC(1:nxcoord) = xpolygC
xoutC(nxcoord+3) = xvert(3)
youtC = huge(one)
youtC(1:nxcoord) = ypolygC
youtC(nxcoord+1) = yvert(4)
! c----------------------------------------------------------------------------------
! search for position of xcoord0, ycoord0 with respect to (alpha,beta) data grid
!
! (6) | (5) | (4)
! _ _ _v4__________________v3 _ _ _ _ _
! \ C \
! \ \ (1)->(8) outside regions
! (7) D \ \ B (3) v1->v4 grid vertices
! \ \ A-D grid sides
! _ _ _ _ _ _\_________________\_ _ _ _
! v1 A v2
! (8) | (1) | (2)
!
if(inside(xoutA,youtA,nxcoord+3,xcoord0,ycoord0)) then
in = 1
if(xcoord0.GT.xvert(2)) then
in = 2
end if
else if(inside(xoutB,youtB,nycoord+3,xcoord0,ycoord0)) then
in = 3
if(ycoord0.GT.yvert(3)) then
in = 4
end if
else if(inside(xoutC,youtC,nxcoord+3,xcoord0,ycoord0)) then
in = 5
if(xcoord0.LT.xvert(4)) then
in = 6
end if
else
in = 7
if(ycoord0.LT.yvert(1)) then
in = 8
end if
end if
! c----------------------------------------------------------------------------------
! (xcoord0,ycoord0) is set to its nearest point on (alpha, beta) grid border
! depending on the region
! 1: xcoord0 unchanged, ycoord0 moved on side A
! 3: xcoord0 moved on side B, ycoord0 unchanged
! 5: xcoord0 unchanged, ycoord0 moved on side C
! 7: xcoord0 moved on side D, ycoord0 unchanged
! 2,4,6,8: (xcoord0,ycoord0) set to nearest vertex coordinates
! in 1,3,5,7 incheck is set back to 1 to evaluate params%pos(1),params%pos(2),params%pos(3),waist,rci,phi in
! new (xcoord0,ycoord0)
! in 2,4,6,8 incheck remains 0 and params%pos(1),params%pos(2),params%pos(3),waist,rci,phi values at the
! (xcoord0,ycoord0) vertex are used
params%alpha = xcoord0
params%beta = ycoord0
SELECT CASE (in)
CASE (1)
! params%beta outside table range
! locate position of xcoord0 with respect to x coordinates of side A
call locate(xpolygA,nxcoord,xcoord0,ii)
! find corresponding y value on side A for xcoord position
call intlin(xpolygA(ii),ypolygA(ii),xpolygA(ii+1),ypolygA(ii+1),xcoord0,ycoord0)
incheck = 1
CASE (2)
! params%alpha and params%beta outside table range
! xcoord0, ycoord0 set
xcoord0 = xvert(2)
ycoord0 = yvert(2)
ii = nxcoord !indice per assegnare valori waist, rci, phi
CASE (3)
! params%alpha outside table range
call locate(ypolygB,nycoord,ycoord0,ii)
call intlin(ypolygB(ii),xpolygB(ii),ypolygB(ii+1),xpolygB(ii+1),ycoord0,xcoord0)
incheck = 1
CASE (4)
! params%alpha and params%beta outside table range
xcoord0 = xvert(3)
ycoord0 = yvert(3)
ii = nxcoord+nycoord-1
CASE (5)
! params%beta outside table range
call locate(xpolygC,nxcoord,xcoord0,ii)
call intlin(xpolygC(ii+1),ypolygC(ii+1),xpolygC(ii),ypolygC(ii),xcoord0,ycoord0)
incheck = 1
CASE (6)
! params%alpha and params%beta outside table range
xcoord0 = xvert(4)
ycoord0 = yvert(4)
ii = 2*nxcoord+nycoord-2
CASE (7)
! params%alpha outside table range
call locate(ypolygD,nycoord,ycoord0,ii)
call intlin(ypolygD(ii),xpolygD(ii),ypolygD(ii+1),xpolygD(ii+1),ycoord0,xcoord0)
incheck = 1
CASE (8)
! params%alpha and params%beta outside table range
xcoord0 = xvert(1)
ycoord0 = yvert(1)
ii = 1
END SELECT
! c----------------------------------------------------------------------------------
!
deallocate(xpolygA, ypolygA, xpolygC, ypolygC, xpolygB, ypolygB, &
xpolygD, ypolygD, xoutA, youtA, xoutB, youtB, xoutC, youtC)
end if
! c====================================================================================
!
! c====================================================================================
if(incheck.eq.1) then
lwrk = 2*(kx+ky+2)
kwrk = 4
allocate(wrk(lwrk),iwrk(kwrk))
call bispev(txwaist1,nxwaist1,tywaist1,nywaist1,cwaist1, &
kx,ky,(/xcoord0/),1,(/ycoord0/),1,fi,wrk,lwrk,iwrk,kwrk,ier)
params%w(1)=fi(1)
call bispev(txwaist2,nxwaist2,tywaist2,nywaist2,cwaist2, &
kx,ky,(/xcoord0/),1,(/ycoord0/),1,fi,wrk,lwrk,iwrk,kwrk,ier)
params%w(2)=fi(1)
call bispev(txrci1,nxrci1,tyrci1,nyrci1,crci1, &
kx,ky,(/xcoord0/),1,(/ycoord0/),1,fi,wrk,lwrk,iwrk,kwrk,ier)
params%ri(1)=fi(1)
call bispev(txrci2,nxrci2,tyrci2,nyrci2,crci2, &
kx,ky,(/xcoord0/),1,(/ycoord0/),1,fi,wrk,lwrk,iwrk,kwrk,ier)
params%ri(2)=fi(1)
call bispev(txphi1,nxphi1,typhi1,nyphi1,cphi1, &
kx,ky,(/xcoord0/),1,(/ycoord0/),1,fi,wrk,lwrk,iwrk,kwrk,ier)
params%phi(2)=fi(1)
call bispev(txphi2,nxphi2,typhi2,nyphi2,cphi2, &
kx,ky,(/xcoord0/),1,(/ycoord0/),1,fi,wrk,lwrk,iwrk,kwrk,ier)
params%phi(1)=fi(1)
call bispev(txx0,nxx0,tyx0,nyx0,cx0, &
kx,ky,(/xcoord0/),1,(/ycoord0/),1,fi,wrk,lwrk,iwrk,kwrk,ier)
params%pos(1)=fi(1)
call bispev(txy0,nxy0,tyy0,nyy0,cy0, &
kx,ky,(/xcoord0/),1,(/ycoord0/),1,fi,wrk,lwrk,iwrk,kwrk,ier)
params%pos(2)=fi(1)
call bispev(txz0,nxz0,tyz0,nyz0,cz0, &
kx,ky,(/xcoord0/),1,(/ycoord0/),1,fi,wrk,lwrk,iwrk,kwrk,ier)
params%pos(3)=fi(1)
deallocate(wrk,iwrk)
! c----------------------------------------------------------------------------------
else
! c----------------------------------------------------------------------------------
params%pos(1)=x00v(ii)
params%pos(2)=y00v(ii)
params%pos(3)=z00v(ii)
params%w(1)=waist1v(ii)
params%w(2)=waist2v(ii)
params%ri(1)=rci1v(ii)
params%ri(2)=rci2v(ii)
params%phi(2)=phi1v(ii)
params%phi(1)=phi2v(ii)
end if
! c====================================================================================
end if
!#######################################################################################
!
if(fdeg.ne.0) then
deallocate(cycoord, txycoord, cwaist1, txwaist1, cwaist2, &
txwaist2, crci1, txrci1, crci2, txrci2, cphi1, txphi1, &
cphi2, txphi2, cx0, txx0, cy0, txy0, cz0, txz0, w)
else
deallocate(cwaist1, txwaist1, tywaist1, cwaist2, txwaist2, tywaist2, &
crci1, txrci1, tyrci1, crci2, txrci2, tyrci2, &
cphi1, txphi1, typhi1, cphi2, txphi2, typhi2, &
cx0, txx0, tyx0, cy0, txy0, tyy0, cz0, txz0, tyz0, &
wrk2, xpolyg, ypolyg, w)
end if
!
!#######################################################################################
! set correct values for alpha, beta
if(fdeg.eq.2) then
params%alpha = ycoord0
params%beta = xcoord0
else
params%alpha = xcoord0
params%beta = ycoord0
end if
!#######################################################################################
deallocate(alphastv,betastv,waist1v,waist2v,rci1v,rci2v,phi1v, &
phi2v,x00v,y00v,z00v,xcoord,ycoord)
!
end subroutine read_beam2
subroutine launchangles2n(params, anv)
! Given the wave launcher `params` computes the initial
! wavevector `anv`, defined by n̅ = ck̅/ω, in cartesian coordinates.
use const_and_precisions, only : degree
use gray_params, only : antenna_parameters
implicit none
! subroutine arguments
type(antenna_parameters), intent(in) :: params
real(wp_), intent(out) :: anv(3)
! local variables
real(wp_) :: r, anr, anphi, a, b
r = sqrt(params%pos(1)**2 + params%pos(2)**2)
a = degree*params%alpha
b = degree*params%beta
! Angles α, β in a local reference system
! as proposed by Gribov et al.
anr = -cos(b)*cos(a)
anphi = sin(b)
anv(1) = (anr*params%pos(1) - anphi*params%pos(2))/r ! = anx
anv(2) = (anr*params%pos(2) + anphi*params%pos(1))/r ! = any
anv(3) = -cos(b)*sin(a) ! = anz
end subroutine launchangles2n
subroutine xgygcoeff(fghz, ak0, bres, xgcn)
! Given the EC wave frequency computes:
!
! 1. vacuum wavevector `k0` (k₀ = ω/c),
! 2. resonant magnetic field `bres` (qB/m = ω),
! 3. adimensional `xgcn` parameter (X = ω_p²/ω² = nq²/ε₀mω²).
use const_and_precisions, only : qe=>ecgs_, me=>mecgs_, &
vc=>ccgs_, pi, wce1_
implicit none
! subroutine arguments
real(wp_), intent(in) :: fghz
real(wp_), intent(out) :: ak0, bres, xgcn
! local variables
real(wp_) :: omega
omega = 2.0e9_wp_*pi*fghz ! [rad/s]
ak0 = omega/vc ! [rad/cm]
! yg = btot/bres
bres = omega/wce1_ ! [T]
! xg = xgcn*dens19
xgcn = 4.0e13_wp_ * pi * qe**2/(me * omega**2) ! [10^-19 m^3]
end subroutine xgygcoeff
end module beams