schechter1d-1.0.0
Schechter luminosity function
Description
Schechter luminosity function (Schechter 1976), parameterized in terms of magnitudes.
Outline
Schema Definitions ¶
This node must validate against all of the following:
This type is an object with the following properties:
phi_star
object Required The normalization factor in units of number density.
This node must validate against any of the following:
number
m_star
number Required The characteristic magnitude where the power-law form of the function cuts off into the exponential form.
alpha
object Required The power-law index, defining the faint-end slope of the luminosity function
This node must validate against any of the following:
number
Examples ¶
\[n(M) \ dM = (0.4 \ln 10) \ \phi^{*} \ [{10^{0.4 (M^{*} - M)}}]^{\alpha + 1} \ \exp{[-10^{0.4 (M^{*} - M)}]} \ dM\]
!transform/schechter1d-1.0.0 {phi_star: 1.0, m_star: -20.0, alpha: -1.0}
Original Schema ¶
%YAML 1.1
---
$schema: "http://stsci.edu/schemas/yaml-schema/draft-01"
id: "http://stsci.edu/schemas/asdf/transform/schechter1d-1.0.0"
title: >
Schechter luminosity function
description: >
Schechter luminosity function ([Schechter 1976](https://ui.adsabs.harvard.edu/abs/1976ApJ...203..297S/abstract)),
parameterized in terms of magnitudes.
examples:
-
- $$n(M) \ dM = (0.4 \ln 10) \ \phi^{*} \
[{10^{0.4 (M^{*} - M)}}]^{\alpha + 1} \
\exp{[-10^{0.4 (M^{*} - M)}]} \ dM$$
- |
!transform/schechter1d-1.0.0 {phi_star: 1.0, m_star: -20.0, alpha: -1.0}
allOf:
- $ref: "transform-1.2.0"
- type: object
properties:
phi_star:
anyOf:
- tag: tag:stsci.edu:asdf/unit/quantity-1.1.0
- type: number
description: >
The normalization factor in units of number density.
m_star:
type: number
description: >
The characteristic magnitude where the power-law form of the function
cuts off into the exponential form.
alpha:
anyOf:
- tag: tag:stsci.edu:asdf/unit/quantity-1.1.0
- type: number
description: >
The power-law index, defining the faint-end slope of the luminosity function
required: ['phi_star', 'm_star', 'alpha']
...