| 1 | /*
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| 2 | *+
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| 3 | * Name:
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| 4 | * palAtmdsp
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| 5 |
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| 6 | * Purpose:
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| 7 | * Apply atmospheric-dispersion adjustments to refraction coefficients
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| 8 |
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| 9 | * Language:
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| 10 | * Starlink ANSI C
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| 11 |
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| 12 | * Type of Module:
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| 13 | * Library routine
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| 14 |
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| 15 | * Invocation:
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| 16 | * void palAtmdsp( double tdk, double pmb, double rh, double wl1,
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| 17 | * double a1, double b1, double wl2, double *a2, double *b2 );
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| 18 |
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| 19 |
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| 20 | * Arguments:
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| 21 | * tdk = double (Given)
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| 22 | * Ambient temperature, K
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| 23 | * pmb = double (Given)
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| 24 | * Ambient pressure, millibars
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| 25 | * rh = double (Given)
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| 26 | * Ambient relative humidity, 0-1
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| 27 | * wl1 = double (Given)
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| 28 | * Reference wavelength, micrometre (0.4 recommended)
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| 29 | * a1 = double (Given)
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| 30 | * Refraction coefficient A for wavelength wl1 (radians)
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| 31 | * b1 = double (Given)
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| 32 | * Refraction coefficient B for wavelength wl1 (radians)
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| 33 | * wl2 = double (Given)
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| 34 | * Wavelength for which adjusted A,B required
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| 35 | * a2 = double * (Returned)
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| 36 | * Refraction coefficient A for wavelength WL2 (radians)
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| 37 | * b2 = double * (Returned)
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| 38 | * Refraction coefficient B for wavelength WL2 (radians)
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| 39 |
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| 40 | * Description:
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| 41 | * Apply atmospheric-dispersion adjustments to refraction coefficients.
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| 42 |
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| 43 | * Authors:
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| 44 | * TIMJ: Tim Jenness
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| 45 | * PTW: Patrick Wallace
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| 46 | * {enter_new_authors_here}
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| 47 |
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| 48 | * Notes:
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| 49 | * - To use this routine, first call palRefco specifying WL1 as the
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| 50 | * wavelength. This yields refraction coefficients A1,B1, correct
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| 51 | * for that wavelength. Subsequently, calls to palAtmdsp specifying
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| 52 | * different wavelengths will produce new, slightly adjusted
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| 53 | * refraction coefficients which apply to the specified wavelength.
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| 54 | *
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| 55 | * - Most of the atmospheric dispersion happens between 0.7 micrometre
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| 56 | * and the UV atmospheric cutoff, and the effect increases strongly
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| 57 | * towards the UV end. For this reason a blue reference wavelength
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| 58 | * is recommended, for example 0.4 micrometres.
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| 59 | *
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| 60 | * - The accuracy, for this set of conditions:
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| 61 | *
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| 62 | * height above sea level 2000 m
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| 63 | * latitude 29 deg
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| 64 | * pressure 793 mb
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| 65 | * temperature 17 degC
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| 66 | * humidity 50%
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| 67 | * lapse rate 0.0065 degC/m
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| 68 | * reference wavelength 0.4 micrometre
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| 69 | * star elevation 15 deg
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| 70 | *
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| 71 | * is about 2.5 mas RMS between 0.3 and 1.0 micrometres, and stays
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| 72 | * within 4 mas for the whole range longward of 0.3 micrometres
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| 73 | * (compared with a total dispersion from 0.3 to 20.0 micrometres
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| 74 | * of about 11 arcsec). These errors are typical for ordinary
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| 75 | * conditions and the given elevation; in extreme conditions values
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| 76 | * a few times this size may occur, while at higher elevations the
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| 77 | * errors become much smaller.
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| 78 | *
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| 79 | * - If either wavelength exceeds 100 micrometres, the radio case
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| 80 | * is assumed and the returned refraction coefficients are the
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| 81 | * same as the given ones. Note that radio refraction coefficients
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| 82 | * cannot be turned into optical values using this routine, nor
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| 83 | * vice versa.
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| 84 | *
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| 85 | * - The algorithm consists of calculation of the refractivity of the
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| 86 | * air at the observer for the two wavelengths, using the methods
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| 87 | * of the palRefro routine, and then scaling of the two refraction
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| 88 | * coefficients according to classical refraction theory. This
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| 89 | * amounts to scaling the A coefficient in proportion to (n-1) and
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| 90 | * the B coefficient almost in the same ratio (see R.M.Green,
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| 91 | * "Spherical Astronomy", Cambridge University Press, 1985).
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| 92 |
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| 93 | * History:
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| 94 | * 2014-07-15 (TIMJ):
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| 95 | * Initial version. A direct copy of the Fortran SLA implementation.
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| 96 | * Adapted with permission from the Fortran SLALIB library.
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| 97 | * {enter_further_changes_here}
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| 98 |
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| 99 | * Copyright:
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| 100 | * Copyright (C) 2014 Tim Jenness
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| 101 | * Copyright (C) 2005 Patrick Wallace
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| 102 | * All Rights Reserved.
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| 103 |
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| 104 | * Licence:
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| 105 | * This program is free software; you can redistribute it and/or
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| 106 | * modify it under the terms of the GNU General Public License as
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| 107 | * published by the Free Software Foundation; either version 3 of
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| 108 | * the License, or (at your option) any later version.
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| 109 | *
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| 110 | * This program is distributed in the hope that it will be
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| 111 | * useful, but WITHOUT ANY WARRANTY; without even the implied
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| 112 | * warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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| 113 | * PURPOSE. See the GNU General Public License for more details.
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| 114 | *
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| 115 | * You should have received a copy of the GNU General Public License
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| 116 | * along with this program; if not, write to the Free Software
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| 117 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
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| 118 | * MA 02110-1301, USA.
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| 119 |
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| 120 | * Bugs:
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| 121 | * {note_any_bugs_here}
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| 122 | *-
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| 123 | */
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| 124 |
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| 125 | #include "pal.h"
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| 126 | #include "palmac.h"
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| 127 | #include <math.h>
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| 128 |
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| 129 | void palAtmdsp ( double tdk, double pmb, double rh, double wl1,
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| 130 | double a1, double b1, double wl2, double *a2, double *b2 ) {
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| 131 |
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| 132 | double f,tdkok,pmbok,rhok;
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| 133 | double psat,pwo,w1,wlok,wlsq,w2,dn1,dn2;
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| 134 |
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| 135 | /* Check for radio wavelengths */
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| 136 | if (wl1 > 100.0 || wl2 > 100.0) {
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| 137 |
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| 138 | /* Radio: no dispersion */
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| 139 | *a2 = a1;
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| 140 | *b2 = b1;
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| 141 |
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| 142 | } else {
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| 143 |
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| 144 | /* Optical: keep arguments within safe bounds */
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| 145 | tdkok = DMIN(DMAX(tdk,100.0),500.0);
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| 146 | pmbok = DMIN(DMAX(pmb,0.0),10000.0);
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| 147 | rhok = DMIN(DMAX(rh,0.0),1.0);
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| 148 |
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| 149 | /* Atmosphere parameters at the observer */
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| 150 | psat = pow(10.0, -8.7115+0.03477*tdkok);
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| 151 | pwo = rhok*psat;
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| 152 | w1 = 11.2684e-6*pwo;
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| 153 |
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| 154 | /* Refractivity at the observer for first wavelength */
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| 155 | wlok = DMAX(wl1,0.1);
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| 156 | wlsq = wlok*wlok;
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| 157 | w2 = 77.5317e-6+(0.43909e-6+0.00367e-6/wlsq)/wlsq;
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| 158 | dn1 = (w2*pmbok-w1)/tdkok;
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| 159 |
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| 160 | /* Refractivity at the observer for second wavelength */
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| 161 | wlok = DMAX(wl2,0.1);
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| 162 | wlsq = wlok*wlok;
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| 163 | w2 = 77.5317e-6+(0.43909e-6+0.00367e-6/wlsq)/wlsq;
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| 164 | dn2 = (w2*pmbok-w1)/tdkok;
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| 165 |
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| 166 | /* Scale the refraction coefficients (see Green 4.31, p93) */
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| 167 | if (dn1 != 0.0) {
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| 168 | f = dn2/dn1;
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| 169 | *a2 = a1*f;
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| 170 | *b2 = b1*f;
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| 171 | if (dn1 != a1) {
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| 172 | *b2 *= (1.0+dn1*(dn1-dn2)/(2.0*(dn1-a1)));
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| 173 | }
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| 174 | } else {
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| 175 | *a2 = a1;
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| 176 | *b2 = b1;
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| 177 | }
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| 178 | }
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| 179 |
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| 180 | }
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