10 #ifndef IMPACTX_CHRQUAD_H
11 #define IMPACTX_CHRQUAD_H
34 static constexpr
auto name =
"ChrQuad";
57 amrex::ParticleReal
ds,
58 amrex::ParticleReal k,
60 amrex::ParticleReal
dx = 0,
61 amrex::ParticleReal
dy = 0,
62 amrex::ParticleReal rotation_degree = 0,
72 using BeamOptic::operator();
84 PType& AMREX_RESTRICT p,
85 amrex::ParticleReal & AMREX_RESTRICT px,
86 amrex::ParticleReal & AMREX_RESTRICT py,
87 amrex::ParticleReal & AMREX_RESTRICT pt,
91 using namespace amrex::literals;
97 amrex::ParticleReal
const x = p.pos(
RealAoS::x);
98 amrex::ParticleReal
const y = p.pos(
RealAoS::y);
102 amrex::ParticleReal
const slice_ds =
m_ds /
nslice();
105 amrex::ParticleReal
const bet = refpart.
beta();
108 amrex::ParticleReal g =
m_k;
114 amrex::ParticleReal delta1;
115 delta1 =
sqrt(1_prt - 2_prt*pt/bet +
pow(pt,2));
116 amrex::ParticleReal
const delta = delta1 - 1_prt;
120 amrex::ParticleReal
const omega =
sqrt(std::abs(g)/delta1);
123 amrex::ParticleReal pxout = px;
124 amrex::ParticleReal pyout = py;
125 amrex::ParticleReal
const ptout = pt;
128 amrex::ParticleReal q1 = x;
129 amrex::ParticleReal q2 = y;
130 amrex::ParticleReal p1 = px;
131 amrex::ParticleReal p2 = py;
136 sin(omega*slice_ds)/(omega*delta1)*px;
137 pxout = -omega*delta1*sin(omega*slice_ds)*x + cos(omega*slice_ds)*px;
140 sinh(omega*slice_ds)/(omega*delta1)*py;
141 pyout = omega*delta1*sinh(omega*slice_ds)*y + cosh(omega*slice_ds)*py;
146 sinh(omega*slice_ds)/(omega*delta1)*px;
147 pxout = omega*delta1*sinh(omega*slice_ds)*x + cosh(omega*slice_ds)*px;
150 sin(omega*slice_ds)/(omega*delta1)*py;
151 pyout = -omega*delta1*sin(omega*slice_ds)*y + cos(omega*slice_ds)*py;
162 amrex::ParticleReal
const term = pt + delta/bet;
163 amrex::ParticleReal
const t0 =
t - term*slice_ds/delta1;
165 amrex::ParticleReal
const w = omega*delta1;
166 amrex::ParticleReal
const term1 = -(
pow(p2,2)+
pow(q2,2)*
pow(
w,2))*sinh(2_prt*slice_ds*omega);
167 amrex::ParticleReal
const term2 = -(
pow(p1,2)-
pow(q1,2)*
pow(
w,2))*sin(2_prt*slice_ds*omega);
168 amrex::ParticleReal
const term3 = -2_prt*q2*p2*
w*cosh(2_prt*slice_ds*omega);
169 amrex::ParticleReal
const term4 = -2_prt*q1*p1*
w*cos(2_prt*slice_ds*omega);
170 amrex::ParticleReal
const term5 = 2_prt*omega*(q1*p1*delta1 + q2*p2*delta1
172 p.pos(
RealAoS::t) = t0 + (-1_prt+bet*pt)/(8_prt*bet*
pow(delta1,3)*omega)
173 *(term1+term2+term3+term4+term5);
193 using namespace amrex::literals;
196 amrex::ParticleReal
const x = refpart.x;
197 amrex::ParticleReal
const px = refpart.px;
198 amrex::ParticleReal
const y = refpart.y;
199 amrex::ParticleReal
const py = refpart.py;
200 amrex::ParticleReal
const z = refpart.z;
201 amrex::ParticleReal
const pz = refpart.pz;
202 amrex::ParticleReal
const t = refpart.t;
203 amrex::ParticleReal
const pt = refpart.pt;
204 amrex::ParticleReal
const s = refpart.s;
207 amrex::ParticleReal
const slice_ds =
m_ds /
nslice();
210 amrex::ParticleReal
const step = slice_ds /
sqrt(
pow(pt,2)-1.0_prt);
213 refpart.x = x + step*px;
214 refpart.y = y + step*py;
215 refpart.z = z + step*pz;
216 refpart.t =
t - step*pt;
219 refpart.s =
s + slice_ds;
#define AMREX_FORCE_INLINE
#define AMREX_GPU_HOST_DEVICE
T_ParticleType ParticleType
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE GpuComplex< T > pow(const GpuComplex< T > &a_z, const T &a_y) noexcept
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE GpuComplex< T > sqrt(const GpuComplex< T > &a_z) noexcept
Definition: ImpactX.cpp:35
@ t
fixed t as the independent variable
ImpactXParticleContainer::ParticleType PType
Definition: ChrQuad.H:35
static constexpr auto name
Definition: ChrQuad.H:34
ChrQuad(amrex::ParticleReal ds, amrex::ParticleReal k, int unit, amrex::ParticleReal dx=0, amrex::ParticleReal dy=0, amrex::ParticleReal rotation_degree=0, int nslice=1)
Definition: ChrQuad.H:56
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE void operator()(PType &AMREX_RESTRICT p, amrex::ParticleReal &AMREX_RESTRICT px, amrex::ParticleReal &AMREX_RESTRICT py, amrex::ParticleReal &AMREX_RESTRICT pt, RefPart const &refpart) const
Definition: ChrQuad.H:83
amrex::ParticleReal m_k
Definition: ChrQuad.H:222
int m_unit
quadrupole strength in 1/m^2 (or T/m)
Definition: ChrQuad.H:223
@ x
position in x [m] (at fixed s OR fixed t)
Definition: ImpactXParticleContainer.H:49
@ y
position in y [m] (at fixed s OR fixed t)
Definition: ImpactXParticleContainer.H:50
@ t
c * time-of-flight [m] (at fixed s)
Definition: ImpactXParticleContainer.H:51
Definition: ReferenceParticle.H:30
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE amrex::ParticleReal rigidity_Tm() const
Definition: ReferenceParticle.H:169
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE amrex::ParticleReal beta() const
Definition: ReferenceParticle.H:64
Definition: alignment.H:27
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE void shift_out(amrex::ParticleReal &AMREX_RESTRICT x, amrex::ParticleReal &AMREX_RESTRICT y, amrex::ParticleReal &AMREX_RESTRICT px, amrex::ParticleReal &AMREX_RESTRICT py) const
Definition: alignment.H:91
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE amrex::ParticleReal dx() const
Definition: alignment.H:120
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE void shift_in(amrex::ParticleReal &AMREX_RESTRICT x, amrex::ParticleReal &AMREX_RESTRICT y, amrex::ParticleReal &AMREX_RESTRICT px, amrex::ParticleReal &AMREX_RESTRICT py) const
Definition: alignment.H:61
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE amrex::ParticleReal dy() const
Definition: alignment.H:130
Definition: beamoptic.H:135
Definition: nofinalize.H:22
Thick(amrex::ParticleReal ds, int nslice)
Definition: thick.H:30
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE amrex::ParticleReal ds() const
Definition: thick.H:53
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE int nslice() const
Definition: thick.H:43
amrex::ParticleReal m_ds
Definition: thick.H:58