Commit debcf429b6dc8e769ca49b0c7d33dd7ff6bdcd4b
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ad72820d
Add units to models.
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4 deletions
doc/source/user_manual/getting_started/models.rst
| ... | ... | @@ -357,6 +357,7 @@ Constant |
| 357 | 357 | where |
| 358 | 358 | |
| 359 | 359 | * :math:`N_0` = ``Normalization`` |
| 360 | + :math:`[{\rm ph}\,\,{\rm cm}^{-2}\,{\rm s}^{-1}\,{\rm MeV}^{-1}]` | |
| 360 | 361 | |
| 361 | 362 | |
| 362 | 363 | |
| ... | ... | @@ -379,8 +380,10 @@ Power law |
| 379 | 380 | where |
| 380 | 381 | |
| 381 | 382 | * :math:`k_0` = ``Prefactor`` |
| 383 | + :math:`[{\rm ph}\,\,{\rm cm}^{-2}\,{\rm s}^{-1}\,{\rm MeV}^{-1}]` | |
| 382 | 384 | * :math:`\gamma` = ``Index`` |
| 383 | 385 | * :math:`E_0` = ``Scale`` |
| 386 | + :math:`[{\rm MeV}]` | |
| 384 | 387 | |
| 385 | 388 | .. warning:: |
| 386 | 389 | |
| ... | ... | @@ -407,9 +410,12 @@ Power law |
| 407 | 410 | where |
| 408 | 411 | |
| 409 | 412 | * :math:`N` = ``Integral`` |
| 413 | + :math:`[{\rm ph}\,\,{\rm cm}^{-2}\,{\rm s}^{-1}]` | |
| 410 | 414 | * :math:`\gamma` = ``Index`` |
| 411 | 415 | * :math:`E_{\rm min}` = ``LowerLimit`` |
| 416 | + :math:`[{\rm MeV}]` | |
| 412 | 417 | * :math:`E_{\rm max}` = ``UpperLimit`` |
| 418 | + :math:`[{\rm MeV}]` | |
| 413 | 419 | |
| 414 | 420 | .. warning:: |
| 415 | 421 | |
| ... | ... | @@ -441,9 +447,12 @@ Exponentially cut-off power law |
| 441 | 447 | where |
| 442 | 448 | |
| 443 | 449 | * :math:`k_0` = ``Prefactor`` |
| 450 | + :math:`[{\rm ph}\,\,{\rm cm}^{-2}\,{\rm s}^{-1}\,{\rm MeV}^{-1}]` | |
| 444 | 451 | * :math:`\gamma` = ``Index`` |
| 445 | 452 | * :math:`E_0` = ``Scale`` |
| 453 | + :math:`[{\rm MeV}]` | |
| 446 | 454 | * :math:`E_{\rm cut}` = ``Cutoff`` |
| 455 | + :math:`[{\rm MeV}]` | |
| 447 | 456 | |
| 448 | 457 | .. warning:: |
| 449 | 458 | |
| ... | ... | @@ -477,9 +486,11 @@ Broken power law |
| 477 | 486 | where |
| 478 | 487 | |
| 479 | 488 | * :math:`k_0` = ``Prefactor`` |
| 489 | + :math:`[{\rm ph}\,\,{\rm cm}^{-2}\,{\rm s}^{-1}\,{\rm MeV}^{-1}]` | |
| 480 | 490 | * :math:`\gamma_1` = ``Index1`` |
| 481 | 491 | * :math:`\gamma_2` = ``Index2`` |
| 482 | 492 | * :math:`E_b` = ``BreakValue`` |
| 493 | + :math:`[{\rm MeV}]` | |
| 483 | 494 | |
| 484 | 495 | .. warning:: |
| 485 | 496 | |
| ... | ... | @@ -508,10 +519,11 @@ Log parabola |
| 508 | 519 | where |
| 509 | 520 | |
| 510 | 521 | * :math:`k_0` = ``Prefactor`` |
| 522 | + :math:`[{\rm ph}\,\,{\rm cm}^{-2}\,{\rm s}^{-1}\,{\rm MeV}^{-1}]` | |
| 511 | 523 | * :math:`\gamma` = ``Index`` |
| 512 | 524 | * :math:`\eta` = ``Curvature`` |
| 513 | 525 | * :math:`E_0` = ``Scale`` |
| 514 | - | |
| 526 | + :math:`[{\rm MeV}]` | |
| 515 | 527 | |
| 516 | 528 | .. warning:: |
| 517 | 529 | |
| ... | ... | @@ -554,8 +566,11 @@ Gaussian |
| 554 | 566 | where |
| 555 | 567 | |
| 556 | 568 | * :math:`N_0` = ``Normalization`` |
| 569 | + :math:`[{\rm ph}\,\,{\rm cm}^{-2}\,{\rm s}^{-1}]` | |
| 557 | 570 | * :math:`\bar{E}` = ``Mean`` |
| 571 | + :math:`[{\rm MeV}]` | |
| 558 | 572 | * :math:`\sigma` = ``Sigma`` |
| 573 | + :math:`[{\rm MeV}]` | |
| 559 | 574 | |
| 560 | 575 | |
| 561 | 576 | File function |
| ... | ... | @@ -571,11 +586,12 @@ File function |
| 571 | 586 | that is defined by intensity values at specific energies. |
| 572 | 587 | The energy and intensity values are defined using an ASCII file with |
| 573 | 588 | columns of energy and differential flux values. |
| 574 | - The energy units are assumed to be MeV and the flux values are assumed to | |
| 575 | - :math:`{\rm cm}^{-2} {\rm s}^{-1} {\rm MeV}^{-1}` | |
| 589 | + The energy units are assumed to be :math:`[{\rm MeV}]` and the flux values | |
| 590 | + are assumed to | |
| 591 | + :math:`{\rm ph}\,\,{\rm cm}^{-2} {\rm s}^{-1} {\rm MeV}^{-1}` | |
| 576 | 592 | (the only exception being a model for which the spatial component is |
| 577 | 593 | a constant diffuse model; in this case, the units are |
| 578 | - :math:`{\rm cm}^{-2} {\rm s}^{-1} {\rm MeV}^{-1} {\rm sr}^{-1}`). | |
| 594 | + :math:`{\rm ph}\,\,{\rm cm}^{-2} {\rm s}^{-1} {\rm MeV}^{-1} {\rm sr}^{-1}`). | |
| 579 | 595 | The only parameter is a multiplicative normalization: |
| 580 | 596 | |
| 581 | 597 | .. math:: |
| ... | ... | @@ -612,6 +628,14 @@ Node function |
| 612 | 628 | The ``NodeFunction`` model component implements a generalised broken |
| 613 | 629 | power law which is defined by a set of energy and intensity values |
| 614 | 630 | (the so called nodes) that are piecewise connected by power laws. |
| 631 | + Energies are given in units of | |
| 632 | + :math:`[{\rm MeV}]`, | |
| 633 | + intensities are given in units of | |
| 634 | + :math:`[{\rm ph}\,\,{\rm cm}^{-2}\,{\rm s}^{-1}\,{\rm MeV}^{-1}]` | |
| 635 | + (except for a constant diffuse model where intensities are given in | |
| 636 | + units of | |
| 637 | + :math:`[{\rm ph}\,\,{\rm cm}^{-2}\,{\rm s}^{-1}\,{\rm MeV}^{-1}\,{\rm | |
| 638 | + sr}^{-1}]`). | |
| 615 | 639 | |
| 616 | 640 | .. warning:: |
| 617 | 641 | ... | ... |