From 0193baae36b55d3cb3c0a70e87da317450473264 Mon Sep 17 00:00:00 2001 From: Chenran Xu Date: Mon, 6 Jul 2026 14:25:00 -0500 Subject: [PATCH 1/7] Add hkick and vkick as optional steering kicks in rad to quadrupole and sextupole --- cheetah/accelerator/quadrupole.py | 45 +++++++++++++++++++++++++++++-- cheetah/accelerator/sextupole.py | 35 +++++++++++++++++++++--- cheetah/track_methods.py | 15 +++++++++++ cheetah/utils/bmadx.py | 18 +++++++++++++ 4 files changed, 108 insertions(+), 5 deletions(-) diff --git a/cheetah/accelerator/quadrupole.py b/cheetah/accelerator/quadrupole.py index e0f8cba21..7ea714c62 100644 --- a/cheetah/accelerator/quadrupole.py +++ b/cheetah/accelerator/quadrupole.py @@ -10,6 +10,7 @@ base_rmatrix, base_ttensor, combined_rotation_misalignment_matrix, + thin_kick_matrix, ) from cheetah.utils import ( UniqueNameGenerator, @@ -27,6 +28,8 @@ class Quadrupole(Element): :param length: Length in meters. :param k1: Strength of the quadrupole in 1/m^-2. + :param hkick: Horizontal kick in rad. + :param vkick: Vertical kick in rad. :param misalignment: Misalignment vector of the quadrupole in x- and y-directions. :param tilt: Tilt angle of the quadrupole in x-y plane in radians. pi/4 for skew-quadrupole. @@ -49,6 +52,8 @@ def __init__( self, length: torch.Tensor, k1: torch.Tensor | None = None, + hkick: torch.Tensor | None = None, + vkick: torch.Tensor | None = None, misalignment: torch.Tensor | None = None, tilt: torch.Tensor | None = None, num_steps: int = 1, @@ -83,6 +88,13 @@ def __init__( "tilt", tilt if tilt is not None else torch.tensor(0.0, **factory_kwargs) ) + self.register_buffer_or_parameter( + "hkick", hkick if hkick is not None else torch.tensor(0.0, **factory_kwargs) + ) + self.register_buffer_or_parameter( + "vkick", vkick if vkick is not None else torch.tensor(0.0, **factory_kwargs) + ) + self.num_steps = num_steps self.tracking_method = tracking_method @@ -101,7 +113,10 @@ def first_order_transfer_map( R_entry, R_exit = combined_rotation_misalignment_matrix( angle=self.tilt, misalignment=self.misalignment ) - R = R_exit @ R @ R_entry + + R_half_kick = thin_kick_matrix(hkick=0.5 * self.hkick, vkick=0.5 * self.vkick) + + R = R_half_kick @ R_exit @ R @ R_entry @ R_half_kick return R @@ -133,8 +148,18 @@ def second_order_transfer_map( R_entry, R_exit = combined_rotation_misalignment_matrix( angle=self.tilt, misalignment=self.misalignment ) + # Apply half-kick matrices to the entrance and exit + R_half_kick = thin_kick_matrix(hkick=0.5 * self.hkick, vkick=0.5 * self.vkick) + + R_entry_total = R_entry @ R_half_kick + R_exit_total = R_half_kick @ R_exit + T = torch.einsum( - "...ij,...jkl,...kn,...lm->...inm", R_exit, T, R_entry, R_entry + "...ij,...jkl,...kn,...lm->...inm", + R_exit_total, + T, + R_entry_total, + R_entry_total, ) return T @@ -191,6 +216,12 @@ def _track_drift_kick_drift(self, incoming: ParticleBeam) -> ParticleBeam: step_length = self.length / self.num_steps b1 = self.k1 * self.length + # Get the hkick and vkick in magnet body frame + hkick_body, vkick_body = bmadx.rotate_kicks_to_body_frame( + self.hkick, self.vkick, self.tilt + ) + half_kick_fraction = 0.5 / self.num_steps + # Begin Bmad-X tracking x, px, y, py = bmadx.offset_particle_set( x_offset, y_offset, self.tilt, x, px, y, py @@ -203,6 +234,10 @@ def _track_drift_kick_drift(self, incoming: ParticleBeam) -> ParticleBeam: tx, dzx = bmadx.calculate_quadrupole_coefficients(-k1, step_length, rel_p) ty, dzy = bmadx.calculate_quadrupole_coefficients(k1, step_length, rel_p) + # Apply half-kick at the entrance + px = px + hkick_body * half_kick_fraction + py = py + vkick_body * half_kick_fraction + z = ( z + dzx[0] * x.square() @@ -220,6 +255,10 @@ def _track_drift_kick_drift(self, incoming: ParticleBeam) -> ParticleBeam: x, px, y, py = x_next, px_next, y_next, py_next + # Apply half-kick at the exit + px = px + hkick_body * half_kick_fraction + py = py + vkick_body * half_kick_fraction + z = z + bmadx.low_energy_z_correction(pz, p0c, mc2, step_length) # s = s + l @@ -335,6 +374,8 @@ def defining_features(self) -> list[str]: return super().defining_features + [ "length", "k1", + "hkick", + "vkick", "misalignment", "tilt", "num_steps", diff --git a/cheetah/accelerator/sextupole.py b/cheetah/accelerator/sextupole.py index 4ce49d9e4..7e94b717f 100644 --- a/cheetah/accelerator/sextupole.py +++ b/cheetah/accelerator/sextupole.py @@ -10,6 +10,7 @@ base_ttensor, combined_rotation_misalignment_matrix, drift_matrix, + thin_kick_matrix, ) from cheetah.utils import cache_transfer_map, squash_index_for_unavailable_dims @@ -41,6 +42,8 @@ def __init__( self, length: torch.Tensor, k2: torch.Tensor | None = None, + hkick: torch.Tensor | None = None, + vkick: torch.Tensor | None = None, misalignment: torch.Tensor | None = None, tilt: torch.Tensor | None = None, tracking_method: Literal["linear", "second_order"] = "second_order", @@ -60,6 +63,12 @@ def __init__( self.register_buffer_or_parameter( "k2", k2 if k2 is not None else torch.tensor(0.0, **factory_kwargs) ) + self.register_buffer_or_parameter( + "hkick", hkick if hkick is not None else torch.tensor(0.0, **factory_kwargs) + ) + self.register_buffer_or_parameter( + "vkick", vkick if vkick is not None else torch.tensor(0.0, **factory_kwargs) + ) self.register_buffer_or_parameter( "misalignment", ( @@ -78,7 +87,10 @@ def __init__( def first_order_transfer_map( self, energy: torch.Tensor, species: Species ) -> torch.Tensor: - return drift_matrix(length=self.length, species=species, energy=energy) + R = drift_matrix(length=self.length, species=species, energy=energy) + + R_half_kick = thin_kick_matrix(hkick=0.5 * self.hkick, vkick=0.5 * self.vkick) + return R_half_kick @ R @ R_half_kick @cache_transfer_map def second_order_transfer_map(self, energy, species): @@ -102,8 +114,18 @@ def second_order_transfer_map(self, energy, species): R_entry, R_exit = combined_rotation_misalignment_matrix( angle=self.tilt, misalignment=self.misalignment ) + # Apply half-kick matrices to the entrance and exit + R_half_kick = thin_kick_matrix(hkick=0.5 * self.hkick, vkick=0.5 * self.vkick) + + R_entry_total = R_entry @ R_half_kick + R_exit_total = R_half_kick @ R_exit + T = torch.einsum( - "...ij,...jkl,...kn,...lm->...inm", R_exit, T, R_entry, R_entry + "...ij,...jkl,...kn,...lm->...inm", + R_exit_total, + T, + R_entry_total, + R_entry_total, ) return T @@ -154,4 +176,11 @@ def plot( @property def defining_features(self) -> list[str]: - return super().defining_features + ["length", "k2", "misalignment", "tilt"] + return super().defining_features + [ + "length", + "k2", + "hkick", + "vkick", + "misalignment", + "tilt", + ] diff --git a/cheetah/track_methods.py b/cheetah/track_methods.py index 22b263500..a66da5fec 100644 --- a/cheetah/track_methods.py +++ b/cheetah/track_methods.py @@ -380,3 +380,18 @@ def combined_rotation_misalignment_matrix( tm_exit[..., [0, 2], 6] = misalignment return tm_entry, tm_exit + + +def thin_kick_matrix(hkick: torch.Tensor, vkick: torch.Tensor) -> torch.Tensor: + """Thin horizontal and vertical kick transfer map. + + :param hkick: Horizontal kick in rad. + :param vkick: Vertical kick in rad. + :return: Transfer map for the kick. + """ + factory_kwargs = {"device": hkick.device, "dtype": hkick.dtype} + vector_shape = torch.broadcast_shapes(hkick.shape, vkick.shape) + tm = torch.eye(7, **factory_kwargs).repeat((*vector_shape, 1, 1)) + tm[..., 1, 6] = hkick + tm[..., 3, 6] = vkick + return tm diff --git a/cheetah/utils/bmadx.py b/cheetah/utils/bmadx.py index e6f23c25d..37314de00 100644 --- a/cheetah/utils/bmadx.py +++ b/cheetah/utils/bmadx.py @@ -316,3 +316,21 @@ def sinc(x): def cosc(x): """cosc(x) = (cos(x)-1)/x^2 = -1/2 [sinc(x/2)]^2""" return -0.5 * sinc(x / 2).square() + + +def rotate_kicks_to_body_frame( + hkick: torch.Tensor, vkick: torch.Tensor, tilt: torch.Tensor +) -> tuple[torch.Tensor, torch.Tensor]: + """Returns the labframehorizontal and vertical kick in the magnet body frame. + + :param hkick: Horizontal kick in rad. + :param vkick: Vertical kick in rad. + :param tilt: Tilt angle in rad. + :return: Horizontal and vertical kick in the magnet body frame. + """ + s = tilt.sin() + c = tilt.cos() + hkick_body = (hkick * c + vkick * s).unsqueeze(-1) + vkick_body = (-hkick * s + vkick * c).unsqueeze(-1) + + return hkick_body, vkick_body From 8481e3a5111ad9b6d1ae7ef254bd34a5cd85122e Mon Sep 17 00:00:00 2001 From: Chenran Xu Date: Mon, 6 Jul 2026 15:05:46 -0500 Subject: [PATCH 2/7] Properly implement splitting for quadrupole; Generate new consistency files for quad and sextupole with kick parameters --- cheetah/accelerator/quadrupole.py | 2 ++ tests/conftest.py | 11 ++++++++ .../Quadrupole_ParameterBeam_linear.pkl | Bin 3723 -> 3723 bytes ...adrupole_ParticleBeam_drift_kick_drift.pkl | Bin 386868 -> 386870 bytes .../Quadrupole_ParticleBeam_linear.pkl | Bin 386868 -> 386868 bytes .../Quadrupole_ParticleBeam_second_order.pkl | Bin 386869 -> 386869 bytes .../Sextupole_ParameterBeam_linear.pkl | Bin 3267 -> 3267 bytes .../Sextupole_ParticleBeam_linear.pkl | Bin 218863 -> 218863 bytes .../Sextupole_ParticleBeam_second_order.pkl | Bin 386869 -> 386869 bytes tests/test_quadrupole.py | 26 ++++++++++++++++++ tests/test_split.py | 5 ++++ 11 files changed, 44 insertions(+) diff --git a/cheetah/accelerator/quadrupole.py b/cheetah/accelerator/quadrupole.py index 7ea714c62..24ba37669 100644 --- a/cheetah/accelerator/quadrupole.py +++ b/cheetah/accelerator/quadrupole.py @@ -299,6 +299,8 @@ def split(self, resolution: torch.Tensor) -> list[Element]: Quadrupole( self.length / num_splits, self.k1, + hkick=self.hkick / num_splits, + vkick=self.vkick / num_splits, misalignment=self.misalignment, tilt=self.tilt, num_steps=self.num_steps, diff --git a/tests/conftest.py b/tests/conftest.py index 2c6c49dac..18959f991 100644 --- a/tests/conftest.py +++ b/tests/conftest.py @@ -60,6 +60,8 @@ "linear": { "length": torch.tensor(1.0), "k1": torch.tensor([1.0, -2.0]), + "hkick": torch.tensor(1e-4), + "vkick": torch.tensor(-1e-4), "tilt": torch.tensor(0.42), "misalignment": torch.tensor([0.01, -0.02]), "tracking_method": "linear", @@ -67,6 +69,8 @@ "second_order": { "length": torch.tensor(1.0), "k1": torch.tensor([1.0, -2.0]), + "hkick": torch.tensor(1e-4), + "vkick": torch.tensor(-1e-4), "tilt": torch.tensor(0.42), "misalignment": torch.tensor([0.01, -0.02]), "tracking_method": "second_order", @@ -74,9 +78,12 @@ "drift_kick_drift": { "length": torch.tensor(1.0), "k1": torch.tensor([1.0, -2.0]), + "hkick": torch.tensor(1e-4), + "vkick": torch.tensor(-1e-4), "tilt": torch.tensor(0.42), "misalignment": torch.tensor([0.01, -0.02]), "tracking_method": "drift_kick_drift", + "num_steps": 10, }, }, cheetah.RBend: { @@ -107,6 +114,8 @@ "linear": { "length": torch.tensor(1.0), "k2": torch.tensor([1.0, -2.0]), + "hkick": torch.tensor(1e-4), + "vkick": torch.tensor(-1e-4), 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z>(KV8Y@Tau5ZQ84F8cbN*p%qT(vfrz0?lHSySzSxk14Bdvm5O-0;!^blaKBrcJH1z zova>w)skp(HfRTPZ|!m$I};W&6N`uD-4RzWvC5N~2Kf@1^96~;NXRxQ(;?+JDYLfP z-*|YbW=S~-7n7Tj#u+VJH+~-{*X-W~f4)XoOJYT^q73J37;e|J+zDAJlb*`Nd_=o_ zOSh$|en7F};rouH#j?r)CHE_=P)j!2yXU!MWMN@qY_tA%eDU~N z;+Z*!sMiZ`(>Yv;JwkF#1#F(g=0KtSI(D2?m!U7`&YE3DKyd0(OZFt{b%(Z9Bv<10 zL`hRT2`1I_y$?E_m4L9XT#Mvw2#{Iy)YB+0Lz{`*NR!b3bdRW1$&rR7e;F5Fyrt0% ziMO;n{yvn81V^uyfS}(;@bItG?40}#IbZXWzE91Got#uAPf`&|`G(AD$;M*jobq&@ zP&9ts)il~f)&<#HoTti3SL_BlTb@|;}SQ(O*t+Kw3IrILq;;R~e~QoSKSrRU9)$)n?HtdERU8QP=1 z*RuDKc+L7|i`R4-+E2=Iq#b0ZF1%%wH^*5LeM`Dy=&0xGM#bbMY@A3ow*jxQeOdIKH z<#OLa+Pf-?6rq<@R2{hl|MX$0=7ti8emN>rE}19DrzWc>{nG+REpLgrilJuTzGAm@}BMQ pbrn?<)KvbS7TfTjDB63JGDnV8_LKYR4gY)5zsD-kPsb=R{{q3l7X| Date: Mon, 6 Jul 2026 15:07:24 -0500 Subject: [PATCH 3/7] Update changelog --- CHANGELOG.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/CHANGELOG.md b/CHANGELOG.md index a63d1fe5a..6de36816e 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -6,6 +6,8 @@ ### 🚀 Features +- Add hkick and vkick parameters to `Quadrupole` and `Sextupole` magnets to supoort optional steering components. (see #647) (@cr-xu) + ### 🐛 Bug fixes ### 🐆 Other From 2625c18f2361f6e550894bfcc16254ce77345ec6 Mon Sep 17 00:00:00 2001 From: Chenran Xu Date: Mon, 6 Jul 2026 15:43:49 -0500 Subject: [PATCH 4/7] Also add steering components to is_active check --- cheetah/accelerator/quadrupole.py | 6 +++++- cheetah/accelerator/sextupole.py | 6 +++++- 2 files changed, 10 insertions(+), 2 deletions(-) diff --git a/cheetah/accelerator/quadrupole.py b/cheetah/accelerator/quadrupole.py index 24ba37669..adba874f9 100644 --- a/cheetah/accelerator/quadrupole.py +++ b/cheetah/accelerator/quadrupole.py @@ -291,7 +291,11 @@ def is_skippable(self) -> bool: @property def is_active(self) -> bool: - return (self.k1 != 0).any().item() + return ( + (self.k1 != 0).any().item() + or (self.hkick != 0).any().item() + or (self.vkick != 0).any().item() + ) def split(self, resolution: torch.Tensor) -> list[Element]: num_splits = (self.length.abs().max() / resolution).ceil().int() diff --git a/cheetah/accelerator/sextupole.py b/cheetah/accelerator/sextupole.py index 7e94b717f..52c2167ec 100644 --- a/cheetah/accelerator/sextupole.py +++ b/cheetah/accelerator/sextupole.py @@ -143,7 +143,11 @@ def is_skippable(self) -> bool: @property def is_active(self) -> bool: - return (self.k2 != 0.0).any().item() + return ( + (self.k2 != 0.0).any().item() + or (self.hkick != 0.0).any().item() + or (self.vkick != 0.0).any().item() + ) def plot( self, s: float, vector_idx: tuple | None = None, ax: plt.Axes | None = None From c0ae88e0dda2b70554c1b4c7e0cb7cc6b7b1dbfa Mon Sep 17 00:00:00 2001 From: Chenran Xu Date: Mon, 6 Jul 2026 16:08:02 -0500 Subject: [PATCH 5/7] fix some spelling --- CHANGELOG.md | 2 +- cheetah/utils/bmadx.py | 3 ++- 2 files changed, 3 insertions(+), 2 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index 6de36816e..5eb13088a 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -6,7 +6,7 @@ ### 🚀 Features -- Add hkick and vkick parameters to `Quadrupole` and `Sextupole` magnets to supoort optional steering components. (see #647) (@cr-xu) +- Add hkick and vkick parameters to `Quadrupole` and `Sextupole` magnets to support optional steering components. (see #647) (@cr-xu) ### 🐛 Bug fixes diff --git a/cheetah/utils/bmadx.py b/cheetah/utils/bmadx.py index 37314de00..3c20b3a2e 100644 --- a/cheetah/utils/bmadx.py +++ b/cheetah/utils/bmadx.py @@ -321,13 +321,14 @@ def cosc(x): def rotate_kicks_to_body_frame( hkick: torch.Tensor, vkick: torch.Tensor, tilt: torch.Tensor ) -> tuple[torch.Tensor, torch.Tensor]: - """Returns the labframehorizontal and vertical kick in the magnet body frame. + """Returns the lab frame horizontal and vertical kick in the magnet body frame. :param hkick: Horizontal kick in rad. :param vkick: Vertical kick in rad. :param tilt: Tilt angle in rad. :return: Horizontal and vertical kick in the magnet body frame. """ + s = tilt.sin() c = tilt.cos() hkick_body = (hkick * c + vkick * s).unsqueeze(-1) From d8c6bd39147f768761de59ce5af486a078f23daa Mon Sep 17 00:00:00 2001 From: Chenran Xu Date: Mon, 6 Jul 2026 16:09:07 -0500 Subject: [PATCH 6/7] remove redundant marker in test function --- tests/test_split.py | 1 - 1 file changed, 1 deletion(-) diff --git a/tests/test_split.py b/tests/test_split.py index 60d32177e..168d21b12 100644 --- a/tests/test_split.py +++ b/tests/test_split.py @@ -4,7 +4,6 @@ import cheetah -@pytest.mark.for_every_element("original") @pytest.mark.for_every_element( "original", xfail_if=lambda original: isinstance(original, cheetah.Quadrupole) From 569272be3515904ee7d145ab3ab409987bdf47b7 Mon Sep 17 00:00:00 2001 From: Chenran Xu Date: Mon, 6 Jul 2026 16:14:56 -0500 Subject: [PATCH 7/7] Improve docstring for hkick and vkick parameters --- cheetah/accelerator/quadrupole.py | 4 ++-- cheetah/accelerator/sextupole.py | 2 ++ 2 files changed, 4 insertions(+), 2 deletions(-) diff --git a/cheetah/accelerator/quadrupole.py b/cheetah/accelerator/quadrupole.py index adba874f9..cb43f0824 100644 --- a/cheetah/accelerator/quadrupole.py +++ b/cheetah/accelerator/quadrupole.py @@ -28,8 +28,8 @@ class Quadrupole(Element): :param length: Length in meters. :param k1: Strength of the quadrupole in 1/m^-2. - :param hkick: Horizontal kick in rad. - :param vkick: Vertical kick in rad. + :param hkick: Horizontal kick in rad. Acting in lab frame, *not* rotated with tilt. + :param vkick: Vertical kick in rad. Acting in lab frame, *not* rotated with tilt. :param misalignment: Misalignment vector of the quadrupole in x- and y-directions. :param tilt: Tilt angle of the quadrupole in x-y plane in radians. pi/4 for skew-quadrupole. diff --git a/cheetah/accelerator/sextupole.py b/cheetah/accelerator/sextupole.py index 52c2167ec..e3a46c708 100644 --- a/cheetah/accelerator/sextupole.py +++ b/cheetah/accelerator/sextupole.py @@ -21,6 +21,8 @@ class Sextupole(Element): :param length: Length in meters. :param k2: Sextupole strength in 1/m^3. + :param hkick: Horizontal kick in rad. Acting in lab frame, *not* rotated with tilt. + :param vkick: Vertical kick in rad. Acting in lab frame, *not* rotated with tilt. :param misalignment: Transverse misalignment in x and y directions in meters. :param tilt: Tilt angle of the quadrupole in x-y plane in radians. :param tracking_method: Method to use for tracking through the element.

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