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();
87 amrex::ParticleReal & AMREX_RESTRICT x,
88 amrex::ParticleReal & AMREX_RESTRICT y,
89 amrex::ParticleReal & AMREX_RESTRICT t,
90 amrex::ParticleReal & AMREX_RESTRICT px,
91 amrex::ParticleReal & AMREX_RESTRICT py,
92 amrex::ParticleReal & AMREX_RESTRICT pt,
93 [[maybe_unused]] uint64_t & AMREX_RESTRICT idcpu,
97 using namespace amrex::literals;
103 amrex::ParticleReal
const xout =
x;
104 amrex::ParticleReal
const yout = y;
105 amrex::ParticleReal
const tout =
t;
108 amrex::ParticleReal
const slice_ds =
m_ds /
nslice();
111 amrex::ParticleReal
const bet = refpart.
beta();
114 amrex::ParticleReal g =
m_k;
120 amrex::ParticleReal delta1;
121 delta1 =
sqrt(1_prt - 2_prt*pt/bet +
pow(pt,2));
122 amrex::ParticleReal
const delta = delta1 - 1_prt;
126 amrex::ParticleReal
const omega =
sqrt(std::abs(g)/delta1);
129 amrex::ParticleReal pxout = px;
130 amrex::ParticleReal pyout = py;
131 amrex::ParticleReal
const ptout = pt;
134 amrex::ParticleReal q1 = xout;
135 amrex::ParticleReal q2 = yout;
136 amrex::ParticleReal p1 = px;
137 amrex::ParticleReal p2 = py;
141 x = cos(omega*slice_ds) * xout +
142 sin(omega*slice_ds)/(omega*delta1)*px;
143 pxout = -omega * delta1 * sin(omega*slice_ds) * xout + cos(omega * slice_ds) * px;
145 y = cosh(omega*slice_ds) * yout +
146 sinh(omega*slice_ds)/(omega*delta1)*py;
147 pyout = omega * delta1 * sinh(omega*slice_ds) * yout + cosh(omega * slice_ds) * py;
151 x = cosh(omega*slice_ds) * xout +
152 sinh(omega*slice_ds)/(omega*delta1)*px;
153 pxout = omega * delta1 * sinh(omega*slice_ds) * xout + cosh(omega * slice_ds) * px;
155 y = cos(omega*slice_ds) * yout +
156 sin(omega*slice_ds)/(omega*delta1)*py;
157 pyout = -omega * delta1 * sin(omega*slice_ds) * yout + cos(omega * slice_ds) * py;
168 amrex::ParticleReal
const term = pt + delta/bet;
169 amrex::ParticleReal
const t0 = tout - term * slice_ds / delta1;
171 amrex::ParticleReal
const w = omega*delta1;
172 amrex::ParticleReal
const term1 = -(
pow(p2,2)+
pow(q2,2)*
pow(
w,2))*sinh(2_prt*slice_ds*omega);
173 amrex::ParticleReal
const term2 = -(
pow(p1,2)-
pow(q1,2)*
pow(
w,2))*sin(2_prt*slice_ds*omega);
174 amrex::ParticleReal
const term3 = -2_prt*q2*p2*
w*cosh(2_prt*slice_ds*omega);
175 amrex::ParticleReal
const term4 = -2_prt*q1*p1*
w*cos(2_prt*slice_ds*omega);
176 amrex::ParticleReal
const term5 = 2_prt*omega*(q1*p1*delta1 + q2*p2*delta1
178 t = t0 + (-1_prt+bet*pt)/(8_prt*bet*
pow(delta1,3)*omega)
179 *(term1+term2+term3+term4+term5);
199 using namespace amrex::literals;
202 amrex::ParticleReal
const x = refpart.x;
203 amrex::ParticleReal
const px = refpart.px;
204 amrex::ParticleReal
const y = refpart.y;
205 amrex::ParticleReal
const py = refpart.py;
206 amrex::ParticleReal
const z = refpart.z;
207 amrex::ParticleReal
const pz = refpart.pz;
208 amrex::ParticleReal
const t = refpart.t;
209 amrex::ParticleReal
const pt = refpart.pt;
210 amrex::ParticleReal
const s = refpart.s;
213 amrex::ParticleReal
const slice_ds =
m_ds /
nslice();
216 amrex::ParticleReal
const step = slice_ds /
sqrt(
pow(pt,2)-1.0_prt);
219 refpart.x =
x + step*px;
220 refpart.y = y + step*py;
221 refpart.z = z + step*pz;
222 refpart.t =
t - step*pt;
225 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:33
@ t
fixed t as the independent variable
ImpactXParticleContainer::ParticleType PType
Definition: ChrQuad.H:35
static constexpr auto name
Definition: ChrQuad.H:34
AMREX_GPU_HOST_DEVICE AMREX_FORCE_INLINE void operator()(amrex::ParticleReal &AMREX_RESTRICT x, amrex::ParticleReal &AMREX_RESTRICT y, amrex::ParticleReal &AMREX_RESTRICT t, amrex::ParticleReal &AMREX_RESTRICT px, amrex::ParticleReal &AMREX_RESTRICT py, amrex::ParticleReal &AMREX_RESTRICT pt, [[maybe_unused]] uint64_t &AMREX_RESTRICT idcpu, RefPart const &refpart) const
Definition: ChrQuad.H:86
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::ParticleReal m_k
Definition: ChrQuad.H:228
int m_unit
quadrupole strength in 1/m^2 (or T/m)
Definition: ChrQuad.H:229
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:149
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