{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Transmission spectroscopy model example I\n",
"\n",
"*Author:* Hannu Parviainen \n",
"*Last modified:* 2 February 2024\n",
"\n",
"The *transmission spectroscopy* transit model implemented by ``pytransit.TSModel`` is a specialised version of the RoadRunner transit model model (RRModel, [Parviainen, 2020a](https://ui.adsabs.harvard.edu/abs/2020MNRAS.499.1633P/abstract)) tailored for fast transmission spectroscopy. Like the RRModel, TSModel allows for any radially symmetric function to be used to model stellar limb darkening, but has special optimisations for transmission spectroscopy.\n",
"\n",
"A typical transmission spectroscopy data set for a single exoplanet transit contains `npb` light curves (photometric time series) created from a spectroscopic time series consisting of `npt` exposures. In other words, we have `npt` simultaneously observed photometric points in `npb` passbands, so our data set is a 2D array with a shape `(npb, npt)`.\n",
"\n",
"**Optimisations:**\n",
"\n",
"Because the data points are observed simultaneously means that we need to calculate the projected planet-star distance only for the `npt` separate time stamps. PyTransit is already using an efficient approach based on Taylor-series expansion for the planet-star distance calculation [Parviainen, 2020b](https://ui.adsabs.harvard.edu/abs/2020MNRAS.499.3356P/abstract), but removing the redundant calculations still offer a very nice performance boost.\n",
"\n",
"Because of the optimisations specific to transmission spectroscopy, **`TSModel` doesn't support all the the features in the standard PyTransit API**. The main differences are:\n",
"\n",
"- The planet-star radius ratios (`k`) need to be given as a 1D array (or list) with a shape `(npb)` or a 2D array with a shape `(npv, npb)`, where `npv` is the number of simultaneously evaluated parameter sets and `npb` the number of passbands.\n",
"- The model doesn't support heterogeneous data sets so the light curve, passband, and epoch indices are ignored.\n",
"- The model is evaluated for all passbands for each data point, and the results are returned either as a 2D array with a shape `(npb, npt)`, or a 3D array with a shape `(npv, npb, npt)`. \n",
"\n",
"**Limb darkening:** The limb darkening model is given in the initialisation, and can be either the name of a set of built-in standard analytical limb darkening models\n",
"\n",
"- ``constant``, ``linear``, ``quadratic``, ``nonlinear``, ``general``, ``power-2``, and ``power-2-pm``,\n",
"\n",
"an instance of `pytransit.LDTkModel`, a Python callable that takes an array of $\\mu$ values and a parameter vector, or a tuple with two callables where the first is the limb darkening model and the second a function returning the stellar surface brightness integrated over the stellar disk."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"from numpy import *\n",
"from numpy.random import normal, uniform\n",
"\n",
"from matplotlib import rc\n",
"from matplotlib.pyplot import subplots, setp\n",
"rc('figure', figsize=(13,5))"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def plot_lc(time, flux, c=None, ylim=(0.9865, 1.0025), ax=None):\n",
" if ax is None:\n",
" fig, ax = subplots()\n",
" else:\n",
" fig, ax = None, ax\n",
" ax.plot(time, flux, c=c)\n",
" ax.autoscale(axis='x', tight=True)\n",
" setp(ax, xlabel='Time [d]', ylabel='Flux', xlim=time[[0,-1]], ylim=ylim)\n",
" \n",
" if fig is not None:\n",
" fig.tight_layout()\n",
" return ax"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Import the model"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from pytransit import TSModel"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 1: simple transmission spectrum light curve\n",
"\n",
"We begin by creating a time array centred around zero"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"time = linspace(-0.05, 0.05, 1500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we initialise a ``TSModel`` choosing to use the two-parameter *power-2* limb darkening model and make the model ready for evaluation by giving it the mid-exposure time array"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [],
"source": [
"tm = TSModel('power-2')\n",
"tm.set_data(time)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Evaluation for scalar parameters\n",
"\n",
"After the transit model has been initialised and the data is set, we can evaluate the model for a given radius ratio using the `tm.evaluate` method that takes\n",
"\n",
"- planet-star radius ratios (`k`) as a 1D array (or list) with a shape `(npb)`,\n",
"- limb darkening model parameters (`ldc`) as a 2D array (or list) with a shape `(npb, nldc)`,\n",
"- zero epoch (`t0`), orbital period (`p`), scaled semi-major axis ($a/R_\\star$, `a`), orbital inclination (`i`), eccentricity (`e`), and argument of periastron (`w`) as scalar floats. Eccentricity and argument of periastron are optional and default to zero if not given.\n",
"\n",
"The `tm.evaluate` method returns a 2D array with shape `(npb, npt)` with the transit model evaluated for each passband and mid-exposure time given in the `time` array.\n",
"\n",
"**Note:** The first ``tm.set_data`` and ``tm.evaluate`` evaluation takes a significantly longer time than the succeeding calls to these methods. This is because most of the *PyTransit* routines are accelerated with *numba*, and *numba* takes some time compiling all the required methods."
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [],
"source": [
"npb = 7\n",
"k = linspace(0.095, 0.105, npb)\n",
"ldc = tile([0.12, 1.2], [npb, 1])"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [],
"source": [
"flux = tm.evaluate(k=k, ldc=ldc, t0=0.0, p=1.0, a=4.2, i=0.5*pi, e=0.0, w=0.0)"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = plot_lc(time, flux.T, c='0.5');\n",
"ax.text(0.5, 0.8, \" [[0.12, 0.23],\\n k = [1.21, 2.12], \\n [1.21, 2.12]]\", transform=ax.transAxes, fontfamily='monospace')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Evaluation for a set of parameters\n",
"\n",
"Like the rest of the *PyTransit* transit models, the transmission spectroscopy model can be evaluated simultaneously for a set of parameters. This is also done by calling `tm.evaluate`, but now\n",
"\n",
"- the planet-star radius ratios (`k`) are given as a 2D array with a shape `(npv, npb)`,\n",
"- the limb darkening model parameters (`ldc`) are given as a 3D array with a shape `(npv, npb, nldc)`,\n",
"- the orbital parameters `t0`, `p`, `a`, `i`, `e`, and `w` are given as 1D arrays (or lists) with a shape `(npv)`.\n",
"\n",
"Now, the ``tm.evaluate`` returns a 3D array with shape `(npv, npb, npt)` with the transit model evaluated for each parameter vector, passband, and mid-transit time given in the ``time`` array\n",
"\n",
"**Note:** Evaluating a parameter set using a single call to `tm.evaluate` is *much faster* than looping over the parameter set in Python, and allows PyTransit to parallelise the model evaluation if `parallel=True` has been set in the model initialiser."
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [],
"source": [
"npv = 6\n",
"npb = 6\n",
"ks = linspace(-0.003, 0.003, npb)[newaxis, :] + normal(0.09, 0.01, (npv, 1))\n",
"t0s = normal(0, 0.01, npv)\n",
"ps = normal(1.0, 0.01, npv)\n",
"smas = normal(5.2, 0.1, npv)\n",
"incs = uniform(0.48*pi, 0.5*pi, npv)\n",
"es = uniform(0, 0.25, size=npv)\n",
"os = uniform(0, 2*pi, size=npv)"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [],
"source": [
"ldp = tile([0.12, 1.2], (npv, npb, 1))"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [],
"source": [
"flux2 = tm.evaluate(ks, ldp, t0s, ps, smas, incs, es, os)"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axs = subplots(3, 2, sharex='all', sharey='all')\n",
"for iax,ax in enumerate(axs.flat):\n",
" plot_lc(time, flux2[iax].T, ax=ax, c='0.5');\n",
"setp(axs[:-1], xlabel='')\n",
"setp(axs[:,1], ylabel='')\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Supersampling\n",
"\n",
"A single photometric observation is always integrated over time. If the exposure time is short compared to the changes in the transit signal shape during the exposure, the observation can be modelled by evaluating the model at the mid-exposure time. However, if the exposure time is long, we need to simluate the integration by calculating the model average over the exposure time (although numerical integration is also a valid approach, it is slightly more demanding computationally and doesn't improve the accuracy significantly). This is achieved by supersampling the model, that is, evaluating the model at several locations inside the exposure and averaging the samples.\n",
"\n",
"Evaluating the model many times for each observation naturally increases the computational burden of the model, but is necessary to model long-cadence observations from the *Kepler* and *TESS* telescopes."
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [],
"source": [
"tm = TSModel('power-2')\n",
"tm.set_data(time, exptimes=0.02, nsamples=10)"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [],
"source": [
"npb = 7\n",
"k = linspace(0.095, 0.105, npb)\n",
"ldc = tile([0.12, 1.2], [npb, 1])"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [],
"source": [
"flux3 = tm.evaluate(k=k, ldc=ldc, t0=0.0, p=1.0, a=4.2, i=0.5*pi, e=0.0, w=0.0)"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = plot_lc(time, flux.T, c='0.75')\n",
"plot_lc(time, flux3.T, ax=ax);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"\n",
"