Note
Go to the end to download the full example code.
Many simulations at once¶
A batched parameter turns one run into a sweep, without a Python loop over simulations.
/home/runner/work/NLSE/NLSE/NLSE/solvers/nlse.py:380: UserWarning: delta_z=2.12e-04 exceeds split-step accuracy limit (1.55e-05). Reducing to 1.39e-05.
delta_z = self._capped_delta_z(delta_z, A, method)
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Propagation: 1%| | 1.11/100 [00:04<07:23, 4.48s/%]
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Propagation: 3%|▎ | 3.34/100 [00:11<05:38, 3.50s/%]
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Propagation: 4%|▎ | 3.62/100 [00:12<05:33, 3.46s/%]
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Propagation: 5%|▍ | 4.88/100 [00:16<05:18, 3.35s/%]
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Propagation: 6%|▌ | 5.57/100 [00:18<05:11, 3.30s/%]
Propagation: 6%|▌ | 5.71/100 [00:18<05:10, 3.30s/%]
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Propagation: 6%|▌ | 5.99/100 [00:19<05:08, 3.28s/%]
Propagation: 6%|▌ | 6.13/100 [00:20<05:07, 3.28s/%]
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Propagation: 6%|▋ | 6.41/100 [00:20<05:05, 3.26s/%]
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Propagation: 7%|▋ | 6.83/100 [00:22<05:03, 3.26s/%]
Propagation: 7%|▋ | 6.97/100 [00:22<05:02, 3.25s/%]
Propagation: 7%|▋ | 7.11/100 [00:23<05:01, 3.25s/%]
Propagation: 7%|▋ | 7.25/100 [00:23<05:00, 3.24s/%]
Propagation: 7%|▋ | 7.39/100 [00:23<04:59, 3.24s/%]
Propagation: 8%|▊ | 7.52/100 [00:24<04:58, 3.23s/%]
Propagation: 8%|▊ | 7.66/100 [00:24<04:58, 3.23s/%]
Propagation: 8%|▊ | 7.80/100 [00:25<04:57, 3.22s/%]
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Propagation: 8%|▊ | 8.08/100 [00:26<04:55, 3.22s/%]
Propagation: 8%|▊ | 8.22/100 [00:26<04:55, 3.21s/%]
Propagation: 8%|▊ | 8.36/100 [00:26<04:54, 3.21s/%]
Propagation: 9%|▊ | 8.50/100 [00:27<04:53, 3.21s/%]
Propagation: 9%|▊ | 8.64/100 [00:27<04:52, 3.20s/%]
Propagation: 9%|▉ | 8.78/100 [00:28<04:52, 3.20s/%]
Propagation: 9%|▉ | 8.92/100 [00:28<04:51, 3.20s/%]
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Propagation: 9%|▉ | 9.20/100 [00:29<04:49, 3.19s/%]
Propagation: 9%|▉ | 9.34/100 [00:29<04:49, 3.19s/%]
Propagation: 9%|▉ | 9.48/100 [00:30<04:48, 3.19s/%]
Propagation: 10%|▉ | 9.61/100 [00:30<04:47, 3.18s/%]
Propagation: 10%|▉ | 9.75/100 [00:31<04:47, 3.18s/%]
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Propagation: 10%|█ | 10.0/100 [00:31<04:45, 3.18s/%]
Propagation: 10%|█ | 10.2/100 [00:32<04:45, 3.18s/%]
Propagation: 10%|█ | 10.3/100 [00:32<04:44, 3.17s/%]
Propagation: 10%|█ | 10.5/100 [00:33<04:44, 3.17s/%]
Propagation: 11%|█ | 10.6/100 [00:33<04:43, 3.17s/%]
Propagation: 11%|█ | 10.7/100 [00:33<04:42, 3.17s/%]
Propagation: 11%|█ | 10.9/100 [00:34<04:42, 3.17s/%]
Propagation: 11%|█ | 11.0/100 [00:34<04:41, 3.16s/%]
Propagation: 11%|█ | 11.1/100 [00:35<04:40, 3.16s/%]
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Propagation: 11%|█▏ | 11.4/100 [00:36<04:39, 3.16s/%]
Propagation: 12%|█▏ | 11.6/100 [00:36<04:39, 3.16s/%]
Propagation: 12%|█▏ | 11.7/100 [00:36<04:38, 3.15s/%]
Propagation: 12%|█▏ | 11.8/100 [00:37<04:37, 3.15s/%]
Propagation: 12%|█▏ | 12.0/100 [00:37<04:37, 3.15s/%]
Propagation: 12%|█▏ | 12.1/100 [00:38<04:36, 3.15s/%]
Propagation: 12%|█▏ | 12.3/100 [00:38<04:36, 3.15s/%]
Propagation: 12%|█▏ | 12.4/100 [00:39<04:35, 3.15s/%]
Propagation: 13%|█▎ | 12.5/100 [00:39<04:34, 3.14s/%]
Propagation: 13%|█▎ | 12.7/100 [00:39<04:34, 3.14s/%]
Propagation: 13%|█▎ | 12.8/100 [00:40<04:33, 3.14s/%]
Propagation: 13%|█▎ | 13.0/100 [00:40<04:33, 3.14s/%]
Propagation: 13%|█▎ | 13.1/100 [00:41<04:32, 3.14s/%]
Propagation: 13%|█▎ | 13.2/100 [00:41<04:32, 3.14s/%]
Propagation: 13%|█▎ | 13.4/100 [00:41<04:31, 3.14s/%]
Propagation: 14%|█▎ | 13.5/100 [00:42<04:31, 3.13s/%]
Propagation: 14%|█▎ | 13.7/100 [00:42<04:30, 3.13s/%]
Propagation: 14%|█▍ | 13.8/100 [00:43<04:29, 3.13s/%]
Propagation: 14%|█▍ | 13.9/100 [00:43<04:29, 3.13s/%]
Propagation: 14%|█▍ | 14.1/100 [00:44<04:28, 3.13s/%]
Propagation: 14%|█▍ | 14.2/100 [00:44<04:28, 3.13s/%]
Propagation: 14%|█▍ | 14.4/100 [00:44<04:27, 3.13s/%]
Propagation: 14%|█▍ | 14.5/100 [00:45<04:27, 3.13s/%]
Propagation: 15%|█▍ | 14.6/100 [00:45<04:26, 3.13s/%]
Propagation: 15%|█▍ | 14.8/100 [00:46<04:26, 3.12s/%]
Propagation: 15%|█▍ | 14.9/100 [00:46<04:25, 3.12s/%]
Propagation: 15%|█▌ | 15.0/100 [00:46<04:25, 3.12s/%]
Propagation: 15%|█▌ | 15.2/100 [00:47<04:24, 3.12s/%]
Propagation: 15%|█▌ | 15.3/100 [00:47<04:24, 3.12s/%]
Propagation: 15%|█▌ | 15.5/100 [00:48<04:23, 3.12s/%]
Propagation: 16%|█▌ | 15.6/100 [00:48<04:23, 3.12s/%]
Propagation: 16%|█▌ | 15.7/100 [00:49<04:22, 3.12s/%]
Propagation: 16%|█▌ | 15.9/100 [00:49<04:22, 3.12s/%]
Propagation: 16%|█▌ | 16.0/100 [00:49<04:21, 3.12s/%]
Propagation: 16%|█▌ | 16.2/100 [00:50<04:21, 3.12s/%]
Propagation: 16%|█▋ | 16.3/100 [00:50<04:20, 3.11s/%]
Propagation: 16%|█▋ | 16.4/100 [00:51<04:20, 3.11s/%]
Propagation: 17%|█▋ | 16.6/100 [00:51<04:19, 3.11s/%]
Propagation: 17%|█▋ | 16.7/100 [00:52<04:19, 3.11s/%]
Propagation: 17%|█▋ | 16.9/100 [00:52<04:18, 3.11s/%]
Propagation: 17%|█▋ | 17.0/100 [00:52<04:18, 3.11s/%]
Propagation: 17%|█▋ | 17.1/100 [00:53<04:17, 3.11s/%]
Propagation: 17%|█▋ | 17.3/100 [00:53<04:17, 3.11s/%]
Propagation: 17%|█▋ | 17.4/100 [00:54<04:16, 3.11s/%]
Propagation: 18%|█▊ | 17.6/100 [00:54<04:16, 3.11s/%]
Propagation: 18%|█▊ | 17.7/100 [00:54<04:15, 3.11s/%]
Propagation: 18%|█▊ | 17.8/100 [00:55<04:15, 3.10s/%]
Propagation: 18%|█▊ | 18.0/100 [00:55<04:14, 3.10s/%]
Propagation: 18%|█▊ | 18.1/100 [00:56<04:14, 3.10s/%]
Propagation: 18%|█▊ | 18.3/100 [00:56<04:13, 3.10s/%]
Propagation: 18%|█▊ | 18.4/100 [00:57<04:13, 3.10s/%]
Propagation: 19%|█▊ | 18.5/100 [00:57<04:12, 3.10s/%]
Propagation: 19%|█▊ | 18.7/100 [00:57<04:12, 3.10s/%]
Propagation: 19%|█▉ | 18.8/100 [00:58<04:11, 3.10s/%]
Propagation: 19%|█▉ | 19.0/100 [00:58<04:11, 3.10s/%]
Propagation: 19%|█▉ | 19.1/100 [00:59<04:10, 3.10s/%]
Propagation: 19%|█▉ | 19.2/100 [00:59<04:10, 3.10s/%]
Propagation: 19%|█▉ | 19.4/100 [00:59<04:09, 3.10s/%]
Propagation: 20%|█▉ | 19.5/100 [01:00<04:09, 3.09s/%]
Propagation: 20%|█▉ | 19.6/100 [01:00<04:08, 3.09s/%]
Propagation: 20%|█▉ | 19.8/100 [01:01<04:08, 3.09s/%]
Propagation: 20%|█▉ | 19.9/100 [01:01<04:07, 3.09s/%]
Propagation: 20%|██ | 20.1/100 [01:02<04:07, 3.09s/%]
Propagation: 20%|██ | 20.2/100 [01:02<04:06, 3.09s/%]
Propagation: 20%|██ | 20.3/100 [01:02<04:06, 3.09s/%]
Propagation: 20%|██ | 20.5/100 [01:03<04:05, 3.09s/%]
Propagation: 21%|██ | 20.6/100 [01:03<04:05, 3.09s/%]
Propagation: 21%|██ | 20.8/100 [01:04<04:04, 3.09s/%]
Propagation: 21%|██ | 20.9/100 [01:04<04:04, 3.09s/%]
Propagation: 21%|██ | 21.0/100 [01:04<04:03, 3.09s/%]
Propagation: 21%|██ | 21.2/100 [01:05<04:03, 3.09s/%]
Propagation: 21%|██▏ | 21.3/100 [01:05<04:02, 3.09s/%]
Propagation: 21%|██▏ | 21.5/100 [01:06<04:02, 3.09s/%]
Propagation: 22%|██▏ | 21.6/100 [01:06<04:01, 3.09s/%]
Propagation: 22%|██▏ | 21.7/100 [01:07<04:01, 3.08s/%]
Propagation: 22%|██▏ | 21.9/100 [01:07<04:00, 3.08s/%]
Propagation: 22%|██▏ | 22.0/100 [01:07<04:00, 3.09s/%]
Propagation: 22%|██▏ | 22.2/100 [01:08<04:00, 3.08s/%]
Propagation: 22%|██▏ | 22.3/100 [01:08<03:59, 3.08s/%]
Propagation: 22%|██▏ | 22.4/100 [01:09<03:59, 3.08s/%]
Propagation: 23%|██▎ | 22.6/100 [01:09<03:58, 3.08s/%]
Propagation: 23%|██▎ | 22.7/100 [01:10<03:58, 3.08s/%]
Propagation: 23%|██▎ | 22.9/100 [01:10<03:57, 3.08s/%]
Propagation: 23%|██▎ | 23.0/100 [01:10<03:57, 3.08s/%]
Propagation: 23%|██▎ | 23.1/100 [01:11<03:56, 3.08s/%]
Propagation: 23%|██▎ | 23.3/100 [01:11<03:56, 3.08s/%]
Propagation: 23%|██▎ | 23.4/100 [01:12<03:55, 3.08s/%]
Propagation: 24%|██▎ | 23.5/100 [01:12<03:55, 3.08s/%]
Propagation: 24%|██▎ | 23.7/100 [01:12<03:54, 3.08s/%]
Propagation: 24%|██▍ | 23.8/100 [01:13<03:54, 3.08s/%]
Propagation: 24%|██▍ | 24.0/100 [01:13<03:54, 3.08s/%]
Propagation: 24%|██▍ | 24.1/100 [01:14<03:53, 3.08s/%]
Propagation: 24%|██▍ | 24.2/100 [01:14<03:53, 3.08s/%]
Propagation: 24%|██▍ | 24.4/100 [01:15<03:52, 3.08s/%]
Propagation: 25%|██▍ | 24.5/100 [01:15<03:52, 3.08s/%]
Propagation: 25%|██▍ | 24.7/100 [01:15<03:51, 3.08s/%]
Propagation: 25%|██▍ | 24.8/100 [01:16<03:51, 3.08s/%]
Propagation: 25%|██▍ | 24.9/100 [01:16<03:50, 3.08s/%]
Propagation: 25%|██▌ | 25.1/100 [01:17<03:50, 3.08s/%]
Propagation: 25%|██▌ | 25.2/100 [01:17<03:49, 3.08s/%]
Propagation: 25%|██▌ | 25.4/100 [01:17<03:49, 3.08s/%]
Propagation: 26%|██▌ | 25.5/100 [01:18<03:49, 3.07s/%]
Propagation: 26%|██▌ | 25.6/100 [01:18<03:48, 3.07s/%]
Propagation: 26%|██▌ | 25.8/100 [01:19<03:48, 3.07s/%]
Propagation: 26%|██▌ | 25.9/100 [01:19<03:47, 3.07s/%]
Propagation: 26%|██▌ | 26.1/100 [01:20<03:47, 3.07s/%]
Propagation: 26%|██▌ | 26.2/100 [01:20<03:46, 3.07s/%]
Propagation: 26%|██▋ | 26.3/100 [01:20<03:46, 3.07s/%]
Propagation: 26%|██▋ | 26.5/100 [01:21<03:45, 3.07s/%]
Propagation: 27%|██▋ | 26.6/100 [01:21<03:45, 3.07s/%]
Propagation: 27%|██▋ | 26.8/100 [01:22<03:44, 3.07s/%]
Propagation: 27%|██▋ | 26.9/100 [01:22<03:44, 3.07s/%]
Propagation: 27%|██▋ | 27.0/100 [01:22<03:44, 3.07s/%]
Propagation: 27%|██▋ | 27.2/100 [01:23<03:43, 3.07s/%]
Propagation: 27%|██▋ | 27.3/100 [01:23<03:43, 3.07s/%]
Propagation: 27%|██▋ | 27.5/100 [01:24<03:42, 3.07s/%]
Propagation: 28%|██▊ | 27.6/100 [01:24<03:42, 3.07s/%]
Propagation: 28%|██▊ | 27.7/100 [01:25<03:41, 3.07s/%]
Propagation: 28%|██▊ | 27.9/100 [01:25<03:41, 3.07s/%]
Propagation: 28%|██▊ | 28.0/100 [01:25<03:40, 3.07s/%]
Propagation: 28%|██▊ | 28.1/100 [01:26<03:40, 3.07s/%]
Propagation: 28%|██▊ | 28.3/100 [01:26<03:39, 3.07s/%]
Propagation: 28%|██▊ | 28.4/100 [01:27<03:39, 3.07s/%]
Propagation: 29%|██▊ | 28.6/100 [01:27<03:39, 3.07s/%]
Propagation: 29%|██▊ | 28.7/100 [01:28<03:38, 3.07s/%]
Propagation: 29%|██▉ | 28.8/100 [01:28<03:38, 3.07s/%]
Propagation: 29%|██▉ | 29.0/100 [01:28<03:37, 3.07s/%]
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Propagation: 29%|██▉ | 29.3/100 [01:29<03:36, 3.07s/%]
Propagation: 29%|██▉ | 29.4/100 [01:30<03:36, 3.06s/%]
Propagation: 30%|██▉ | 29.5/100 [01:30<03:35, 3.06s/%]
Propagation: 30%|██▉ | 29.7/100 [01:30<03:35, 3.06s/%]
Propagation: 30%|██▉ | 29.8/100 [01:31<03:35, 3.06s/%]
Propagation: 30%|██▉ | 30.0/100 [01:31<03:34, 3.06s/%]
Propagation: 30%|███ | 30.1/100 [01:32<03:34, 3.06s/%]
Propagation: 30%|███ | 30.2/100 [01:32<03:33, 3.06s/%]
Propagation: 30%|███ | 30.4/100 [01:33<03:33, 3.06s/%]
Propagation: 31%|███ | 30.5/100 [01:33<03:32, 3.06s/%]
Propagation: 31%|███ | 30.7/100 [01:33<03:32, 3.06s/%]
Propagation: 31%|███ | 30.8/100 [01:34<03:31, 3.06s/%]
Propagation: 31%|███ | 30.9/100 [01:34<03:31, 3.06s/%]
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Propagation: 31%|███ | 31.2/100 [01:35<03:30, 3.06s/%]
Propagation: 31%|███▏ | 31.4/100 [01:35<03:30, 3.06s/%]
Propagation: 31%|███▏ | 31.5/100 [01:36<03:29, 3.06s/%]
Propagation: 32%|███▏ | 31.6/100 [01:36<03:29, 3.06s/%]
Propagation: 32%|███▏ | 31.8/100 [01:37<03:28, 3.06s/%]
Propagation: 32%|███▏ | 31.9/100 [01:37<03:28, 3.06s/%]
Propagation: 32%|███▏ | 32.0/100 [01:38<03:27, 3.06s/%]
Propagation: 32%|███▏ | 32.2/100 [01:38<03:27, 3.06s/%]
Propagation: 32%|███▏ | 32.3/100 [01:38<03:26, 3.06s/%]
Propagation: 32%|███▏ | 32.5/100 [01:39<03:26, 3.06s/%]
Propagation: 33%|███▎ | 32.6/100 [01:39<03:26, 3.06s/%]
Propagation: 33%|███▎ | 32.7/100 [01:40<03:25, 3.06s/%]
Propagation: 33%|███▎ | 32.9/100 [01:40<03:25, 3.06s/%]
Propagation: 33%|███▎ | 33.0/100 [01:40<03:24, 3.06s/%]
Propagation: 33%|███▎ | 33.2/100 [01:41<03:24, 3.06s/%]
Propagation: 33%|███▎ | 33.3/100 [01:41<03:23, 3.06s/%]
Propagation: 33%|███▎ | 33.4/100 [01:42<03:23, 3.06s/%]
Propagation: 34%|███▎ | 33.6/100 [01:42<03:22, 3.06s/%]
Propagation: 34%|███▎ | 33.7/100 [01:43<03:22, 3.06s/%]
Propagation: 34%|███▍ | 33.9/100 [01:43<03:22, 3.05s/%]
Propagation: 34%|███▍ | 34.0/100 [01:43<03:21, 3.05s/%]
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Propagation: 98%|█████████▊| 98.4/100 [04:58<00:04, 3.03s/%]
Propagation: 99%|█████████▊| 98.5/100 [04:58<00:04, 3.03s/%]
Propagation: 99%|█████████▊| 98.7/100 [04:58<00:04, 3.03s/%]
Propagation: 99%|█████████▉| 98.8/100 [04:59<00:03, 3.03s/%]
Propagation: 99%|█████████▉| 98.9/100 [04:59<00:03, 3.03s/%]
Propagation: 99%|█████████▉| 99.1/100 [05:00<00:02, 3.03s/%]
Propagation: 99%|█████████▉| 99.2/100 [05:00<00:02, 3.03s/%]
Propagation: 99%|█████████▉| 99.4/100 [05:01<00:01, 3.03s/%]
Propagation: 99%|█████████▉| 99.5/100 [05:01<00:01, 3.03s/%]
Propagation: 100%|█████████▉| 99.6/100 [05:01<00:01, 3.03s/%]
Propagation: 100%|█████████▉| 99.8/100 [05:02<00:00, 3.03s/%]
Propagation: 100%|█████████▉| 99.9/100 [05:02<00:00, 3.03s/%]
Propagation: 100%|██████████| 100/100 [05:03<00:00, 3.03s/%]
Time spent to solve : 303.34526527500003 s (CPU)
import matplotlib.pyplot as plt
import numpy as np
from NLSE import NLSE
PRECISION_COMPLEX = np.complex64
PRECISION_REAL = np.float32
def main():
N = 2048
n2 = np.zeros((10, 1, 1))
n2[:, 0, 0] = np.linspace(-1.6e-9, -1e-10, 10)
waist = 2.23e-3
window = 4 * waist
puiss = 1.05
Isat = 10e4 # saturation intensity in W/m^2
L = 10e-3
alpha = 20
E_0 = np.ones((10, N, N), dtype=PRECISION_COMPLEX)
simu = NLSE(alpha, puiss, window, n2, V=None, L=L, NX=N, NY=N, Isat=Isat)
E_0 *= np.exp(-(simu.XX**2 + simu.YY**2) / waist**2).astype(PRECISION_COMPLEX)
E = simu.out_field(E_0, L, verbose=True, plot=False, splitting="lie")
# One run, ten simulations. Show what the sweep bought: the same beam
# through ten media, from the weakest nonlinearity to the strongest.
E = np.asarray(simu._backend.to_numpy(E))
intensity = np.abs(E) ** 2
fig, axes = plt.subplots(1, 4, figsize=(13, 3.4), constrained_layout=True)
for ax, index in zip(axes, (0, 3, 6, 9), strict=True):
ax.imshow(
intensity[index],
extent=[
simu.X.min() * 1e3,
simu.X.max() * 1e3,
simu.Y.min() * 1e3,
simu.Y.max() * 1e3,
],
cmap="inferno",
)
ax.set_title(rf"$n_2$ = {float(n2[index, 0, 0]):.2e} m$^2$/W", fontsize=9)
ax.set_xlabel("x (mm)")
axes[0].set_ylabel("y (mm)")
fig.suptitle("Ten simulations from one batched run")
plt.show()
if __name__ == "__main__":
main()
Total running time of the script: (5 minutes 8.609 seconds)