From 28fafcb308f2f6cfbf6fbc523303316a4d71c85a Mon Sep 17 00:00:00 2001 From: Matthew Filipovich <42307495+MatthewFilipovich@users.noreply.github.com> Date: Wed, 1 Apr 2026 14:04:52 +0100 Subject: [PATCH 1/3] Update 4f system examples --- README.md | 8 ++++---- docs/source/_static/4f_system.png | Bin 1609660 -> 1566150 bytes docs/source/quickstart/index.rst | 20 ++++++++++---------- examples/optical_systems/4f_system.py | 8 ++++---- 4 files changed, 18 insertions(+), 18 deletions(-) diff --git a/README.md b/README.md index 2458ee8..366138b 100644 --- a/README.md +++ b/README.md @@ -77,14 +77,14 @@ device = "cuda" if torch.cuda.is_available() else "cpu" torchoptics.set_default_spacing(10e-6) torchoptics.set_default_wavelength(700e-9) -shape = 1000 -f = 200e-3 +shape = 500 # Number of grid points in each dimension +f = 50e-3 # Lens focal length (m) -input_field = Field(checkerboard(shape, tile_length=400e-6, num_tiles=15)).to(device) +input_field = Field(checkerboard(shape, tile_length=200e-6, num_tiles=15)).to(device) system = System( Lens(shape, f, z=1 * f), - AmplitudeModulator(1 - circle(shape, radius=5e-4), z=2 * f), + AmplitudeModulator(1 - circle(shape, radius=200e-6), z=2 * f), Lens(shape, f, z=3 * f), ).to(device) diff --git a/docs/source/_static/4f_system.png b/docs/source/_static/4f_system.png index cf52f1ac14267be4c271fc39bd0476c8f1a7cd5d..7db0bea8d1eea88d257b13b8109aeb8b08414852 100644 GIT binary patch literal 1566150 zcmbTd2UL=8{5EdOrdio^HZ)69GqxsT%VI;Cme4CJvkcjc+ z3)h5%cJ3AuT2I>|4E!Q{y5I}&rWAx9SHOC zgQ_X3o>taAb=Wf~$RDPwq5}D64`shV50y`j!4%*uTm3KF!-Ry)h6I1>f+@cfh1LlP z8DB884o#g{@hX5c1ouS`87x#Uh(b+2 ztn)R7-&bm*P4L@}KD>7S^CVFzL+JYrpTjs}M5~XOyARV(# zNK4Uu-R>1}CR;)4X_}Bwf!FWl9e;L7f4feoU){U7N1T^mY+3EM)srS9bY-)+`k&3? zdSH+L=jCgg>vf|ePsncmdjOHGpMJfU`1_ksWbrw4!bZ#PQ}DmWv$myHIiT3Hcx@bi z?Wt{1u;<7>N8LFi@AgxDv)2E5Sm&ny9`?`i|Ko%ICBy%m{C{lx=j;EEz5H(mX&Lun z_JOERq^$n$!TPItAwBFDK#Ih)eIV#?`If)0GogI>=*GXl5YL5(>3k;p>iZy1-(lGo 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z^=X{>%fb0uH>777x3+itQUJjD<#0BbtPGbFpwt!MNVjTxD^Y!=U0ql?jzIhc2N(6P z#P*eAddDjmSpqZ5)^r8|`@mPXYG^BHS5Hc+{(=<5eFlun$RTurnahi zk`bPC_E))9TFpVgmj46*Sln|=KsZ5Xt7fYcbDJF}WqxrQJZtk^A$P}5U=iQZvya=? zQE|3%1;7*YVe#`KEY$5>kky4DW#2%nJZy;1#Vd#!Ec>u7?fK|Kr~}6%u|>qun*aLC zLwpqfEN#(N_~gNJzaIq{kksh4IwLOMA#`xe4QAiN5Atpb)Rceg&- z|Bz3O_^x!F9iyBAwk&uOgV{Ok6mD}!hU|1_*}@I-!lmY$@dD3@ZzRKNKWfH%ZWLwe z11 zw?(+!b6Zpp*c8gY{Q~IC0z40QeQ@pzQiH zqVaT__u%O^d^sZuZtvw?xiy6lP;k5L-dm>u|8yLjIK diff --git a/docs/source/quickstart/index.rst b/docs/source/quickstart/index.rst index ab547ac..a297228 100644 --- a/docs/source/quickstart/index.rst +++ b/docs/source/quickstart/index.rst @@ -62,8 +62,8 @@ Let's create a field from a circular aperture: .. plot:: :context: close-figs - shape = 1000 # 1000×1000 grid (10 mm × 10 mm physical extent) - field = Field(circle(shape, radius=2e-3)) + shape = 500 # 500×500 grid (5 mm × 5 mm physical extent) + field = Field(circle(shape, radius=1e-3)) field.visualize(title="Circular Aperture (z = 0)") Use :meth:`~torchoptics.Field.propagate_to_z` to propagate a field through free space. As light @@ -73,13 +73,13 @@ travels, it diffracts, producing characteristic patterns at different distances: :context: close-figs # Near-field (Fresnel) diffraction - field.propagate_to_z(0.5).visualize(title="z = 0.5 m (Fresnel region)") + field.propagate_to_z(0.2).visualize(title="z = 0.2 m (Fresnel region)") .. plot:: :context: close-figs # Far-field (Fraunhofer) diffraction: the Airy pattern - field.propagate_to_z(10.0).visualize(title="z = 10.0 m (Fraunhofer region)") + field.propagate_to_z(2.0).visualize(title="z = 2.0 m (Fraunhofer region)") Close to the aperture (the Fresnel region), diffraction produces fringes near the edges. Far away (the Fraunhofer region), the wavefront converges to the `Airy pattern @@ -107,18 +107,18 @@ where :math:`r = \sqrt{x^2 + y^2}`, :math:`R` is the aperture radius (half the l physical extent), :math:`\lambda` is the wavelength, and :math:`f` is the focal length. Calling an element on a field (``lens(field)``) applies this transformation. Let's focus a Gaussian -beam with a 400 mm lens: +beam with a 200 mm lens: .. plot:: :context: close-figs - gaussian_beam = Field(gaussian(shape, waist_radius=3e-3)) + gaussian_beam = Field(gaussian(shape, waist_radius=1e-3)) gaussian_beam.visualize(title="Gaussian Beam (z = 0)") .. plot:: :context: close-figs - f = 1 # Focal length: 1 m + f = 200e-3 # Focal length: 200 mm lens = Lens(shape, f, z=0) focused = lens(gaussian_beam).propagate_to_z(f) @@ -144,15 +144,15 @@ blocks low spatial frequencies, extracting edges from a checkerboard: .. plot:: :context: close-figs - input_field = Field(checkerboard(shape, tile_length=400e-6, num_tiles=15)) + input_field = Field(checkerboard(shape, tile_length=200e-6, num_tiles=15)) input_field.visualize(title="Input Field", vmax=1) .. plot:: :context: close-figs # High-pass filter at the Fourier plane (z = 2f) - f = 200e-3 # Focal length: 200 mm - filter_mask = 1 - circle(shape, radius=500e-6) + f = 50e-3 # Focal length: 50 mm + filter_mask = 1 - circle(shape, radius=200e-6) aperture = AmplitudeModulator(filter_mask, z=2 * f) aperture.visualize(title="High-Pass Filter at Fourier Plane") diff --git a/examples/optical_systems/4f_system.py b/examples/optical_systems/4f_system.py index 5182838..39840c4 100644 --- a/examples/optical_systems/4f_system.py +++ b/examples/optical_systems/4f_system.py @@ -39,12 +39,12 @@ # A checkerboard input field tests both low- and high-frequency response, # since a checkerboard contains spatial frequencies near its fundamental tile period. -shape = 1000 # Grid size (number of points per dimension) +shape = 500 # Grid size (number of points per dimension) spacing = 10e-6 # Grid spacing (m) wavelength = 700e-9 # Wavelength (m) -focal_length = 200e-3 # Lens focal length (m) +focal_length = 50e-3 # Lens focal length (m) -tile_length = 400e-6 # Checkerboard tile size (m) +tile_length = 200e-6 # Checkerboard tile size (m) num_tiles = 15 # Number of tiles in each dimension device = "cuda" if torch.cuda.is_available() else "cpu" @@ -90,7 +90,7 @@ # frequencies, leaving only the low-frequency content. The result is a blurred # version of the input; edges are smoothed and fine detail is lost. -radius = 500e-6 # Low-pass filter radius in the Fourier plane (m) +radius = 200e-6 # Low-pass filter radius in the Fourier plane (m) low_pass_profile = circle(shape, radius) low_pass_4f_system = System( From 5c8842454553195c6a427f134ddc2cfa78e88fd2 Mon Sep 17 00:00:00 2001 From: Matthew Filipovich <42307495+MatthewFilipovich@users.noreply.github.com> Date: Wed, 1 Apr 2026 14:40:08 +0100 Subject: [PATCH 2/3] Update documentation --- docs/source/user-guide/fields.rst | 13 +++++++------ docs/source/user-guide/propagation.rst | 6 +++--- docs/source/user-guide/spatial_coherence.rst | 9 +++++---- examples/optical_systems/4f_system.py | 2 +- examples/optimization/training_petal_beam.py | 2 +- 5 files changed, 17 insertions(+), 15 deletions(-) diff --git a/docs/source/user-guide/fields.rst b/docs/source/user-guide/fields.rst index d570ca7..fa5db37 100644 --- a/docs/source/user-guide/fields.rst +++ b/docs/source/user-guide/fields.rst @@ -152,16 +152,17 @@ The overlap integral between two fields is: .. math:: - \langle \psi_1 | \psi_2 \rangle = \sum_{i,j} \psi_1^*(i,j) \, \psi_2(i,j) \, \Delta A + \eta = \sum_{i,j} \psi_1(i,j) \, \psi_2^*(i,j) \, \Delta A -:meth:`~torchoptics.Field.inner` returns this as a complex scalar. Taking the squared magnitude -gives the **mode overlap** :math:`|\langle\psi_1|\psi_2\rangle|^2`: a value in :math:`[0, 1]` -when both fields are normalized to unit power (by Cauchy–Schwarz), and a natural fidelity metric -for inverse design (see :doc:`inverse_design`): +:meth:`~torchoptics.Field.inner` returns this as a complex scalar, where :math:`\psi_1` is +``self`` and :math:`\psi_2` is the argument. Taking the squared magnitude gives the +**mode overlap** :math:`|\eta|^2`: a value in :math:`[0, 1]` when both fields are normalized +to unit power (by Cauchy–Schwarz), and a natural fidelity metric for inverse design +(see :doc:`inverse_design`): .. code-block:: python - overlap = field_a.inner(field_b).abs().square() # in [0, 1] if both normalized + overlap = field_a.inner(field_b).abs().square() # |η|² in [0, 1] if both normalized loss = 1 - overlap Both fields must share the same geometry (``shape``, ``spacing``, ``offset``, and ``z``). diff --git a/docs/source/user-guide/propagation.rst b/docs/source/user-guide/propagation.rst index bd2c392..468038f 100644 --- a/docs/source/user-guide/propagation.rst +++ b/docs/source/user-guide/propagation.rst @@ -19,9 +19,9 @@ a critical distance :math:`z_c` and comparing it to the propagation distance z_c = \frac{2 \, |x_\text{max}| \, \Delta}{\lambda} -where :math:`|x_\text{max}|` is the maximum coordinate magnitude across both planes -(half the physical field width), :math:`\Delta` is the spacing, and :math:`\lambda` is the -wavelength. +where :math:`|x_\text{max}|` is the maximum distance between any grid point in the input +plane and any grid point in the propagation plane, :math:`\Delta` is the spacing, and +:math:`\lambda` is the wavelength. - :math:`|\Delta z| < z_c` in at least one dimension → **ASM** (short-distance regime). - Otherwise → **DIM** (long-distance regime). diff --git a/docs/source/user-guide/spatial_coherence.rst b/docs/source/user-guide/spatial_coherence.rst index 3aad2e1..25cf0de 100644 --- a/docs/source/user-guide/spatial_coherence.rst +++ b/docs/source/user-guide/spatial_coherence.rst @@ -45,10 +45,11 @@ and Gaussian coherence: \Gamma(x_1, y_1, x_2, y_2) = \sqrt{I(x_1,y_1)\,I(x_2,y_2)} \cdot \exp\!\left(-\frac{|\mathbf{r}_1-\mathbf{r}_2|^2}{2\sigma_c^2}\right) -where :math:`I(x,y) = \exp(-2r^2/w^2)` is the Gaussian intensity with waist :math:`w`, and -:math:`\sigma_c` is the **coherence width**: the length scale over which the field remains -correlated. A small :math:`\sigma_c` (much less than :math:`w`) gives a low-coherence source -like an LED; a large :math:`\sigma_c` approaches a coherent Gaussian beam: +where :math:`I(x,y) = \frac{2}{\pi w^2}\exp(-2r^2/w^2)` is the Gaussian intensity with waist +:math:`w` (normalized to unit power), and :math:`\sigma_c` is the **coherence width**: the +length scale over which the field remains correlated. A small :math:`\sigma_c` (much less than +:math:`w`) gives a low-coherence source like an LED; a large :math:`\sigma_c` approaches a +coherent Gaussian beam: .. plot:: :context: reset diff --git a/examples/optical_systems/4f_system.py b/examples/optical_systems/4f_system.py index 39840c4..a351256 100644 --- a/examples/optical_systems/4f_system.py +++ b/examples/optical_systems/4f_system.py @@ -9,7 +9,7 @@ plane enables spatial filtering: low-pass filters smooth the image, while high-pass filters extract edges and fine detail. -The four focal planes have distinct physical meanings: +The five key planes have distinct physical meanings: - :math:`z = 0` — Input plane: the object field - :math:`z = f` — Back focal plane of lens 1: spatial frequency spectrum begins forming diff --git a/examples/optimization/training_petal_beam.py b/examples/optimization/training_petal_beam.py index 976b942..9da083e 100644 --- a/examples/optimization/training_petal_beam.py +++ b/examples/optimization/training_petal_beam.py @@ -52,7 +52,7 @@ # Target Field: Eight-Petal Beam # ------------------------------ # The target is an interference pattern formed by the superposition of two Laguerre-Gaussian -# modes :math:`\mathrm{LG}_{0}^{4}` and :math:`\mathrm{LG}_{0}^{-4}`, producing an +# modes :math:`\mathrm{LG}_{0}^{+4}` and :math:`\mathrm{LG}_{0}^{-4}`, producing an # eight-petal intensity distribution. petal_profile = laguerre_gaussian(shape, p=0, l=4, waist_radius=waist_radius) From 974c4c8f648b1cb96696b71b02ed925024b6dd34 Mon Sep 17 00:00:00 2001 From: Matthew Filipovich <42307495+MatthewFilipovich@users.noreply.github.com> Date: Wed, 1 Apr 2026 14:47:20 +0100 Subject: [PATCH 3/3] Update docs/source/user-guide/propagation.rst Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com> --- docs/source/user-guide/propagation.rst | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/docs/source/user-guide/propagation.rst b/docs/source/user-guide/propagation.rst index 468038f..027b3dc 100644 --- a/docs/source/user-guide/propagation.rst +++ b/docs/source/user-guide/propagation.rst @@ -19,9 +19,10 @@ a critical distance :math:`z_c` and comparing it to the propagation distance z_c = \frac{2 \, |x_\text{max}| \, \Delta}{\lambda} -where :math:`|x_\text{max}|` is the maximum distance between any grid point in the input -plane and any grid point in the propagation plane, :math:`\Delta` is the spacing, and -:math:`\lambda` is the wavelength. +where :math:`|x_\text{max}|` denotes, for each transverse dimension (x and y), the maximum +coordinate separation along that dimension between any grid point in the input plane and +any grid point in the propagation plane; :math:`\Delta` is the grid spacing in that +dimension, and :math:`\lambda` is the wavelength. - :math:`|\Delta z| < z_c` in at least one dimension → **ASM** (short-distance regime). - Otherwise → **DIM** (long-distance regime).

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