latitudinal analysis of twilight hydroxyl airglow

8
GLOBAL ANALYSIS OF TWILIGHT HYDROXYL AIRGLOW Willie K Harrison Rocky Mountain NASA Space Grant Consortium Utah State University, Logan UT ABSTRACT Latitudinal characterizations of twilight mesospheric hydroxyl volume emission rate (VER) from year 2002 to 2005, are made possible using the SABER (Sound- ing of the Atmosphere using Broadband Emission Ra- diometry) sensor, a ten-channel infrared radiometer on- board NASA’s TIMED (Thermosphere Ionosphere Meso- sphere Energetics and Dynamics) satellite. Implemen- tation of a binning algorithm over time and geography provides global twilight characteristics from SABER radiometric channel 9 data, centered at λ = 1.64 μm for the OH (5,3) and OH (4,2) Meinel airglow band infrared emissions, and SABER radiometric channel 8 data, centered at λ = 2.06 μm for the OH (9,7) and OH (8,6) emissions. The findings show an equatorial effect in both infrared radiometric channels. Faster rise rates are observed at sunset while slower fall rates are observed at sunrise near the equator when compared with rates calculated at midlatitudes. Both hydroxyl channels show the most distinct sunset equatorial ef- fects in the year 2002, and the most distinct sunrise equatorial effects in the year 2005. 1. INTRODUCTION The region composing the mesosphere, lower thermo- sphere, and ionosphere (MLTI) is an important region of the atmosphere for modeling the energy budget and resulting climatology of the Earth. The mission of the TIMED satellite is to extend previous atmospheric measurements using infrared sensors to obtain three- dimensional global measurements of the most impor- tant MLTI parameters over time, and thus validate and improve theoretical models of this important region of the atmosphere [1]. 1.1. TIMED Satellite On December 7, 2001, the TIMED satellite was launched from a Delta II launch vehicle at Vandenberg Air Force Base, CA. TIMED is equipped with four instruments, although the study reported herein will focus singu- larly on data gathered from one of the four. Instru- ments on board include SEE (Solar Extreme Ultravi- olet Experiment), GUVI (Global Ultraviolet Imager), TIDI (TIMED Doppler Interferometer), and SABER [1]. The orbit of TIMED exhibits an inclination of 74.1 from the equator and is positioned at a distance from the Earth of 625 km, which is portrayed in fig. 1 [2]. The TIMED satellite orbits around the Earth an aver- Fig. 1. Graphical portrayal of TIMED’s inclined orbit. age of 14.84 times per day [1]. During these orbits, data from a comprehensive range of latitudes and lon- gitudes are obtained by the SABER sensor onboard TIMED. In this way daily, seasonal, and annual trends in atmospheric activity can be obtained and monitored. 1

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Page 1: Latitudinal Analysis of Twilight Hydroxyl Airglow

GLOBAL ANALYSIS OF TWILIGHT HYDROXYL AIRGLOW

Willie K Harrison

Rocky Mountain NASA Space Grant ConsortiumUtah State University, Logan UT

ABSTRACT

Latitudinal characterizations of twilight mesospherichydroxyl volume emission rate (VER) from year 2002to 2005, are made possible using the SABER (Sound-ing of the Atmosphere using Broadband Emission Ra-diometry) sensor, a ten-channel infrared radiometer on-board NASA’s TIMED (Thermosphere Ionosphere Meso-sphere Energetics and Dynamics) satellite. Implemen-tation of a binning algorithm over time and geographyprovides global twilight characteristics from SABERradiometric channel 9 data, centered at λ = 1.64 µmfor the OH (5,3) and OH (4,2) Meinel airglow bandinfrared emissions, and SABER radiometric channel 8data, centered at λ = 2.06 µm for the OH (9,7) andOH (8,6) emissions. The findings show an equatorialeffect in both infrared radiometric channels. Faster riserates are observed at sunset while slower fall rates areobserved at sunrise near the equator when comparedwith rates calculated at midlatitudes. Both hydroxylchannels show the most distinct sunset equatorial ef-fects in the year 2002, and the most distinct sunriseequatorial effects in the year 2005.

1. INTRODUCTION

The region composing the mesosphere, lower thermo-sphere, and ionosphere (MLTI) is an important regionof the atmosphere for modeling the energy budget andresulting climatology of the Earth. The mission ofthe TIMED satellite is to extend previous atmosphericmeasurements using infrared sensors to obtain three-dimensional global measurements of the most impor-tant MLTI parameters over time, and thus validate andimprove theoretical models of this important region ofthe atmosphere [1].

1.1. TIMED Satellite

On December 7, 2001, the TIMED satellite was launchedfrom a Delta II launch vehicle at Vandenberg Air ForceBase, CA. TIMED is equipped with four instruments,although the study reported herein will focus singu-larly on data gathered from one of the four. Instru-ments on board include SEE (Solar Extreme Ultravi-olet Experiment), GUVI (Global Ultraviolet Imager),TIDI (TIMED Doppler Interferometer), and SABER[1].

The orbit of TIMED exhibits an inclination of 74.1◦from the equator and is positioned at a distance fromthe Earth of 625 km, which is portrayed in fig. 1 [2].The TIMED satellite orbits around the Earth an aver-

Fig. 1. Graphical portrayal of TIMED’s inclined orbit.

age of 14.84 times per day [1]. During these orbits,data from a comprehensive range of latitudes and lon-gitudes are obtained by the SABER sensor onboardTIMED. In this way daily, seasonal, and annual trendsin atmospheric activity can be obtained and monitored.

1

Page 2: Latitudinal Analysis of Twilight Hydroxyl Airglow

1.2. SABER Sensor

SABER is a ten-channel infrared radiometer that wasengineered by the Space Dynamics Laboratory (SDL)at Utah State University and the NASA Langley Re-search Center (LaRC) [3]. Each of the ten channels isequipped with a bandpass filter centered on the emis-sion frequencies corresponding to different atmosphericspecies. Figure 2 depicts an artist’s rendition of theSABER sensor with its ten channels. Due to the in-clined orbit of TIMED, data gathered by SABER isrestricted to latitudes between ±83◦.

Fig. 2. SABER instrument with 10 channels portrayedin their field of view positions.

1.3. Photochemistry of MLTI Region

Solar radiation which dissociates atmospheric speciesproduces optically-excited atoms and molecules. Pho-tons emitted at specific frequencies allow scientists tocharacterize the species and the photochemical reac-tions taking place [4]. Excited hydroxyl molecules de-rive from reactions involving ozone, monatomic hy-drogen and monatomic oxygen as follows:

OH + O → H + O2, (1)and

H + O3 → O2 + OH‡. (2)

OH airglow emissions are modeled by both vibra-tion energies of excited hydroxyl molecules and rota-tional energy. These OH emissions are illustrated infig. 3 [5], a spectrum of OH nighttime airglow ob-served from the ground at Poker Flat, Alaska in 1975.Each vibration quantum transition between energy statesis labeled with a pair of numbers. The pair of numbers

Fig. 3. Radiometer channels 8 and 9 bandpass fil-ters superimposed on observed ground-based spectrumof the OH(4v=2) infrared airglow emissions of theMeinel band sequence.

presented on each main vibrational airglow band corre-spond to Meinel vibrational energy states. These stateshave reference to energy levels of the excited hydroxylmolecules from (2). Transitions from one state to an-other make up the spectrum shown in fig. 3. Quan-tum level changes of ∆v = 2 result in emissions inthe near-infrared as observed by SABER. Figure 3 alsodepicts pass-band responses of radiometer channels 8and 9 of SABER overlaid on the ground-based spec-trum of the OH nighttime airglow.

1.4. Twilight Data Characteristics

Since the photochemistry of the mesospheric airglowis driven by the solar flux, large variations of airglowemissions are present between times before and aftertwilight. Due to the TIMED satellite’s inclined orbit of74.1◦ from the equator, it is difficult for SABER to col-lect comprehensive data pertaining to a specific sunriseor sunset event. In the case where the satellite’s orbitremains in twilight for a significant amount of time,however, much data for that event are gathered. In allother cases, the instrument may receive a few scans oftwilight observations during a day as TIMED crossesover the more northerly and southerly locations of itsorbit. Due to this recurrence, latitudinal analysis wasmade on a yearly basis in order to facilitate sufficientdata for valid comparisons to be made.

2

Page 3: Latitudinal Analysis of Twilight Hydroxyl Airglow

1.5. Research Objectives

Characterizations of specific twilight airglow from theSABER sensor aboard the NASA TIMED satellite havebeen conducted. Results are presented for peak vol-ume emission rates (VER) in hydroxyl channels 8 (λ2.06-µm) and 9 (λ1.64-µm) during twilight. The SABERdata provide a unique perspective on three-dimensionalglobal characterization of the mesospheric airglow. TheSABER data to be used cover the years from 2002to 2005. The objective of this research is to globallymap quantized transition times and rates of the peakVER mesospheric airglow on a yearly basis to facili-tate analysis of the morning and evening twilight be-havior as a function of latitude in each emission band.Only the rates will be included in this report in graph-ical form.

2. DATA ANALYSIS

In order to portray twilight VER times and rates ofchange at twilight, it first becomes necessary to val-idate the data being used and ensure that true VERmeasurements are being properly separated from noisecomponents of the data. Techniques implemented aspart of this research are given here in part (see [6] forthe full details).

2.1. Altitude Profiles

By viewing the altitude profiles of each channel ofdata, key information can be gained which can leadto simplified methods of separating noise sources ofvibrations within the passbands of these filters fromthe true emission data. One particular contaminationsource within the passbands is that of scattered sun-light. This phenomenon only occurs during the day-time because it is a result of sunlight bouncing offmolecules in the atmosphere, thus masking airglow emis-sions by contributing to activity for a large range offrequencies. Indications of scattering are apparent indaytime data of both hydroxyl channels of SABER.Figure 4 shows how scattering data might be misin-terpreted as hydroxyl VER on an altitude profile forSABER channel 9. True emissions have an averagealtitude of above 80 km, and values below 70 km candefinitely be attributed to scattering in the OH λ1.64-µm channel.

0 0.5 1 1.5 2 2.5 3

x 10−7

30

40

50

60

70

80

90

VER (ergs⋅cm−3⋅sec−1)

Alti

tude

(km

)

OH 1.64−µm Scan 10 in the daytime Day 100 2002

Emission Peak

Scattering Takes Over

Fig. 4. Channel 9 altitude profile during the daytimeon day 100, 2002. This scan shows the need of a limit-ing threshold to prevent including erroneous peak VERvalues. Here, at an altitude of approximately 70 km,the data values represent scattered light, exceeding thepeak VER magnitude and producing misleading valueswithin the radiometric band.

2.2. Stochastic Models

In order to make conclusions as to which altitudes ofdata should be included in data analysis of the SABERhydroxyl channels, stochastic models are needed ofboth the scattering in each channel and the peak hy-droxyl VER. Finding the maximum likelihood thresh-old between the two entities involves determining theprobability density function (pdf) of both sources ofdata, namely the peak VER data and the scattering datathat threaten to override correct values.

Both the altitudes of the peak emissions and thealtitudes of the scattering values that could lead to er-roneous airglow measurements (see fig. 4) were de-termined to be Gaussian distributed. This assumptionproduces good estimates for altitude thresholds. Figure5 illustrates the relationship between the estimated den-sities of altitudes of peak VER in the OH λ1.64-µmchannel and that of the altitude of the first overridingscattering data point. Gaussian random variables canbe completely characterized by their mean and vari-ance. The density function for a Gaussian random vari-able x with mean µ and variance σ2 is given as

f(x) =1√2πσ

e−1

2σ2 (x−µ)2 . (3)

Assuming these densities to be closely approxi-mated, the best threshold decision that can be made

3

Page 4: Latitudinal Analysis of Twilight Hydroxyl Airglow

40 50 60 70 80 90 1000

0.02

0.04

0.06

0.08

0.1

0.12

Altitude (km)

Pdfs of altiudes of peak VER OH 1.64−µm data and altitudes of overriding scattering data in the channel

f(x|good)f(x|bad)

Fig. 5. Pdfs for altitudes of both correct data and high-est altitude erroneous data which override the correctVER for the OH λ1.64-µm channel.

(in the maximum likelihood sense), is to choose the al-titude at which the probability of receiving peak emis-sion data and the probability of receiving overridingscattering data are equal. To help arrive at this answer,use of a likelihood ratio is implemented. A likelihoodratio l(x) is derived by taking the ratio of the proba-bility density functions of the good and bad data. Letthe density function of the altitude of the good peakdata be denoted f(x|θ1), and the density function ofthe altitude of the overriding erroneous data be denotedf(x|θ0). The mean and variance of f(x|θ1) are de-noted µ1 and σ2

1 , respectively; whereas the mean andvariance of f(x|θ0) are denoted µ0 and σ2

0 , respec-tively. Then the likelihood ratio is expressed as

l(x) =f(x|θ1)f(x|θ0)

, (4)

which can be expanded as

l(x) =1√

2πσ1e− 1

2σ21(x−µ1)2

1√2πσ0

e− 1

2σ20(x−µ0)2

, (5)

and rewritten in the form

l(x) =1σ1

e− 1

2σ21(x−µ1)2

1σ0

e− 1

2σ20(x−µ0)2

. (6)

Finally, in taking the natural logarithm of the like-lihood function the log-likelihood ratio can be formed,which, when simplified, can be expressed as

Λ(x) = log (σ0

σ1)− (x− µ1)2

2σ21

+(x− µ0)2

2σ20

. (7)

The log-likelihood ratio for x ∈ [65, 85] is plotted infig. 6. Note that the original value sought for a max-imum likelihood threshold value was that altitude thatproduced the same probability in both density func-tions. This value can be chosen by inspection of thelikelihood ratio. The altitude that most closely givesthe value of unity in this ratio is the desired thresholdvalue. Equivalently, the altitude that most closely ap-proximates zero for the log-likelihood ratio is the de-sired threshold value. Figure 6 shows this value to bean altitude of 78.12 km in the SABER OH λ1.64-µmchannel. This analysis was repeated, yielding a thresh-old value of 78.15 km with a different data set, thusincreasing confidence in the estimated parameter. Thevalue that was used in the final altitude filtering of eachdata scan was 78.15 km.

65 70 75 80 85−10

−5

0

5

10

15

20Log−likelihood ratio Λ(x) for threshold estimate of OH 1.64−µm

Altitude (km)

78.12 km

Fig. 6. Log-likelihood ratio for threshold estimation ofthe OH λ1.64-µm channel plotted for x ∈ [65, 85].

The same analysis was performed with the OH λ2.06-µm channel. It was found that the scattering did not af-fect the longer wavelength channel as much as the OHλ1.64-µm channel. The altitude threshold calculatedfor the OH λ2.06-µm channel was 72.81 km.

2.3. Global Binning

A method for comparing twilight transitions relative togeographic location was implemented for mesosphericSABER data analysis at twilight. The comparison be-tween twilight at different latitudes motivates a globalbinning algorithm. The data are first binned accordingto latitude and longitude, and then binned temporallyrelative to sunrise and sunset. In this way, binned time

4

Page 5: Latitudinal Analysis of Twilight Hydroxyl Airglow

−2 −1 0 1 2 3 40.5

1

1.5

2

2.5

3x 10

−7

Time after sunset (hrs)

VE

R (

ergs

⋅cm

−3 ⋅s

ec−

1 )OH 1.64−µm day−night transitions 2005

Yaw cycle A polyfitYaw cycle A data10% & 90% points AYaw cycle F polyfitYaw cycle F data10% & 90% points F

Rise Times A and F

Peak A

Peak F

Mins A and F

Fig. 7. Two examples of rise time values calculatedfor the SABER OH λ1.64-µm channel for yaw cyclesA and F in year 2005.

transitions are created for a localized geographic re-gion. Examples of temporally binned data are seen asthe noisy signals in fig. 7 and are referred to as twilighttransition curves.

After completing this task, it is easier to comparetwilight transitions by deriving a rise or fall time andrate value for each twilight transition. This is alsoshown in fig. 7, where the binned data are fitted to apolynomial, which is then analyzed at points 10% and90% through the transition during sunset. Notice thatif another increase in emissions occurs a few hours af-ter sunset (as in yaw cycle F), it is ignored by this tech-nique. These examples of yaw cycles A and F in 2005yield rise times of 0.94 hours and 0.95 hours, respec-tively. Rise or fall time calculations can be convertedto a rate of change parameter by simply dividing thechange in emission magnitudes by the time differencebetween the 10% and 90% points. This is also analo-gous to calculating the slope of a straight line connect-ing the 10% and 90% points.

If this analysis is conducted within each geographicbin over the globe, plotting the time or rate values ona color scale over a projection of the globe can por-tray latitudinal characteristics during twilight. A hy-brid Kriging/cubic-spline interpolation technique [7]is used to smooth the discrete results over map pro-jections. This method of interpolation has been foundto outperform interpolation methods incorporated inMatlab in the mean squared error sense using test pat-terns of various types [7]. This hybrid Kriging method

is used to plot interpolated data overlaid on Mercatormap projections using the Matlab toolbox m map writ-ten by Rich Pawlowicz and Deirdre Byrne.

The geographic resolution must be set to ensurethat sufficient data points are included in each of thetransitions. This technique necessitates inclusion ofan entire year’s worth of data to ensure enough localdata are available to construct time transition curves ineach geographic bin. Results of the interpolation canbe seen when comparing figs. 8 and 9. Figure 8 showsthe discrete values for each geographic bin, while fig.9 gives the Kriging interpolated version.

Longitude (°)

Latit

ude

(°)

Rate rise times for 2002 OH 2.06−µm sunsets

180oW 120oW 60oW 0o 60oE 120oE 180oW

60oS

30oS

0o

30oN

60oN

Tim

e of

ris

e (h

rs)

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

1.2

1.3

Fig. 8. Sunset rise times of globally-binned data aver-aged over 2002 for OH λ2.06-µm SABER data.

3. RESULTS AND DISCUSSION

Geographic bins of resolution 10◦ latitude by 40◦ lon-gitude were used to implement the global binning algo-rithm. Latitudinal effects are more inherent than longi-tudinal effects in the data; therefore, binning was con-ducted to maintain higher resolution in the latitudinaldirection. Approximately thirty data points per timebin per geographic bin were obtained, which providereliable bin averages in these data sets. Two hundredtime bins over 24 hours comprise the twilight transi-tion curves for each geographic bin relative to sunriseand sunset. The twilight transition curves were furtherinterpolated using a lowpass interpolation technique toprovide higher resolution in the curves within each ge-ographic bin. Analysis of these plots yields informa-tion on the characterization of hydroxyl twilight ten-

5

Page 6: Latitudinal Analysis of Twilight Hydroxyl Airglow

Longitude (°)

Latit

ude

(°)

Kriging results of rate rise times for 2002 OH 2.06−µm sunsets

180oW 120oW 60oW 0o 60oE 120oE 180oW

60oS

30oS

0o

30oN

60oN

Tim

e of

ris

e (h

rs)

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

1.2

1.3

Fig. 9. Interpolated version of sunset rise timesof globally-binned data averaged over 2002 for OHλ2.06-µm SABER data using the hybrid Krigingmethod.

dencies in SABER data from channel 9 (λ1.64 µm)and channel 8 (λ2.06 µm).

The OH λ1.64-µm globally-binned data exhibit vari-ations of rise times and rates between near-equatoriallatitudes and midlatitudes. Evidence of an equatorialeffect in the hydroxyl airglow is apparent upon inspec-tion of the rates of increase and decrease calculatedat sunset and sunrise as can be seen in figs. 10 and11, respectively. These equatorial enhancements showfaster rise times during sunset at near-equatorial lat-itudes than at midlatitudes (fig. 10), and slower fallrates at near-equatorial latitudes than those at midlati-tudes during sunrise (fig. 11).

Faster rise rates at the equator were the most pro-nounced in 2002, and then waned every year thereafterthrough 2005. The equatorial effect of slower fall ratesat the equator is almost unnoticeable in 2002, and wasenhanced each year, showing the slowest equatorialsunrise transitions in 2005. The faster transitions atthe equator are due to the fact that the VER is higherat the equator, but rise times across latitudes are basi-cally constant. The equatorial slower fall rates are dueto the finding that peak VER values at midlatitudesare greater than those at the equator directly preced-ing sunrise. Figure 12 shows this phenomenon in theOH λ2.06-µm channel. The same characteristic holdstrue for OH λ1.64-µm, but is not as pronounced in theshorter wavelength channel. The OH λ2.06-µm chan-nel shows similar geographic tendencies to those found

Longitude (°)

Sunset rate rise rates for OH 1.64−µm, 2002

120oW 60oW 0o 60oE 120oE 180oW Rat

e of

ris

e (e

rgs⋅

cm−

3 ⋅sec

−1 /h

r)

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2

2.1

x 10−7

Longitude (°)

Latit

ude

(°)

Sunset rate rise rates for OH 1.64−µm, 2003

180oW 120oW 60oW 0o 60oE 120oE 180oW

50oS

25oS

0o

25oN

50oN

Rat

e of

ris

e (e

rgs⋅

cm−

3 ⋅sec

−1 /h

r)

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2

2.1

x 10−7

Longitude (°)

Sunset rate rise rates for OH 1.64−µm, 2004

120oW 60oW 0o 60oE 120oE 180oW Rat

e of

ris

e (e

rgs⋅

cm−

3 ⋅sec

−1 /h

r)

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2

2.1

x 10−7

Longitude (°)

Latit

ude

(°)

Sunset rate rise rates for OH 1.64−µm, 2005

180oW 120oW 60oW 0o 60oE 120oE 180oW

50oS

25oS

0o

25oN

50oN

Rat

e of

ris

e (e

rgs⋅

cm−

3 ⋅sec

−1 /h

r)

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2

2.1

x 10−7

Fig. 10. Kriging interpolation of globally-binned twi-light transition rates at sunset in SABER channel 9(OH λ1.64-µm).

Longitude (°)

Sunrise rate fall rates for OH 1.64−µm, 2002

120oW 60oW 0o 60oE 120oE 180oW Rat

e of

fall

(erg

s⋅cm

−3 ⋅s

ec−

1 /hr)

−1.7

−1.6

−1.5

−1.4

−1.3

−1.2

−1.1

−1

−0.9

x 10−7

Longitude (°)

Latit

ude

(°)

Sunrise rate fall rates for OH 1.64−µm, 2003

180oW 120oW 60oW 0o 60oE 120oE 180oW

50oS

25oS

0o

25oN

50oN

Rat

e of

fall

(erg

s⋅cm

−3 ⋅s

ec−

1 /hr)

−1.7

−1.6

−1.5

−1.4

−1.3

−1.2

−1.1

−1

−0.9

x 10−7

Longitude (°)

Sunrise rate fall rates for OH 1.64−µm, 2004

120oW 60oW 0o 60oE 120oE 180oW Rat

e of

fall

(erg

s⋅cm

−3 ⋅s

ec−

1 /hr)

−1.7

−1.6

−1.5

−1.4

−1.3

−1.2

−1.1

−1

−0.9

x 10−7

Longitude (°)

Latit

ude

(°)

Sunrise rate fall rates for OH 1.64−µm, 2005

180oW 120oW 60oW 0o 60oE 120oE 180oW

50oS

25oS

0o

25oN

50oN

Rat

e of

fall

(erg

s⋅cm

−3 ⋅s

ec−

1 /hr)

−1.7

−1.6

−1.5

−1.4

−1.3

−1.2

−1.1

−1

−0.9

x 10−7

Fig. 11. Kriging interpolation of globally-binned twi-light transition rates at sunrise in SABER channel 9(OH λ1.64-µm).

6

Page 7: Latitudinal Analysis of Twilight Hydroxyl Airglow

−5 0 50

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8x 10

−7 Sunrise transition in OH 2.06−µm 2005

Time after sunrise (hrs)

VE

R (

ergs

⋅cm

−3 ⋅s

ec−

1 )

−5° latitude−35° latitude35° latitude

Fig. 12. OH λ2.06-µm binned data for year 2005 pre-sented at three latitudes showing higher VER just priorto sunrise in data at midlatitudes than at the equator.

in the OH λ1.64-µm channel, as can be seen in figs. 13and 14.

4. CONCLUSIONS

Globally-binned data were presented and mapped us-ing a hybrid Kriging/cubic-spline interpolation tech-nique [7]. These mappings displayed quantized riseand fall times/rates over latitudes in the range of±60◦.Analysis of these plots revealed equatorial character-istics in the rise and fall rates/times of both channelsof SABER hydroxyl data. Conclusions on analyses ofthese data are given as follows:

1. Near-equatorial latitudes exhibited faster rise ratesduring sunset than midlatitudes by a factor oftwo for both hydroxyl channels signifying higherVER near the equator after sunset because of theroughly uniform rise times across latitudes.

2. The hydroxyl emission bands show slower fallrates at the equator by an approximate factorof two signifying higher VER at midlatitudeswhen compared with near-equatorial latitudesdirectly preceding sunrise. Sunrise also exhib-ited similar fall times across latitudes.

3. Equatorial effects of faster rise rates at the equa-tor were most pronounced in the year 2002, anddecreased each year until 2005.

Longitude (°)

Sunset rate rise rates for OH 2.06−µm, 2002

120oW 60oW 0o 60oE 120oE 180oW Rat

e of

ris

e (e

rgs⋅

cm−

3 ⋅sec

−1 /h

r)

6

7

8

9

10

11

12

13

x 10−8

Longitude (°)

Latit

ude

(°)

Sunset rate rise rates for OH 2.06−µm, 2003

180oW 120oW 60oW 0o 60oE 120oE 180oW

50oS

25oS

0o

25oN

50oN

Rat

e of

ris

e (e

rgs⋅

cm−

3 ⋅sec

−1 /h

r)

6

7

8

9

10

11

12

13

x 10−8

Longitude (°)

Sunset rate rise rates for OH 2.06−µm, 2004

120oW 60oW 0o 60oE 120oE 180oW Rat

e of

ris

e (e

rgs⋅

cm−

3 ⋅sec

−1 /h

r)

6

7

8

9

10

11

12

13

x 10−8

Longitude (°)

Latit

ude

(°)

Sunset rate rise rates for OH 2.06−µm, 2005

180oW 120oW 60oW 0o 60oE 120oE 180oW

50oS

25oS

0o

25oN

50oN

Rat

e of

ris

e (e

rgs⋅

cm−

3 ⋅sec

−1 /h

r)

6

7

8

9

10

11

12

13

x 10−8

Fig. 13. Kriging interpolation of globally-binned twi-light transition rates at sunset in SABER channel 8(OH λ2.06-µm).

Longitude (°)

Sunrise rate fall rates for OH 2.06−µm, 2002

120oW 60oW 0o 60oE 120oE 180oW Rat

e of

fall

(erg

s⋅cm

−3 ⋅s

ec−

1 /hr)

−11

−10

−9

−8

−7

−6

−5

x 10−8

Longitude (°)

Latit

ude

(°)

Sunrise rate fall rates for OH 2.06−µm, 2003

180oW 120oW 60oW 0o 60oE 120oE 180oW

50oS

25oS

0o

25oN

50oN

Rat

e of

fall

(erg

s⋅cm

−3 ⋅s

ec−

1 /hr)

−11

−10

−9

−8

−7

−6

−5

x 10−8

Longitude (°)

Sunrise rate fall rates for OH 2.06−µm, 2004

120oW 60oW 0o 60oE 120oE 180oW Rat

e of

fall

(erg

s⋅cm

−3 ⋅s

ec−

1 /hr)

−11

−10

−9

−8

−7

−6

−5

x 10−8

Longitude (°)

Latit

ude

(°)

Sunrise rate fall rates for OH 2.06−µm, 2005

180oW 120oW 60oW 0o 60oE 120oE 180oW

50oS

25oS

0o

25oN

50oN

Rat

e of

fall

(erg

s⋅cm

−3 ⋅s

ec−

1 /hr)

−11

−10

−9

−8

−7

−6

−5

x 10−8

Fig. 14. Kriging interpolation of globally-binned twi-light transition rates at sunrise in SABER channel 8(OH λ2.06-µm).

7

Page 8: Latitudinal Analysis of Twilight Hydroxyl Airglow

4. Equatorial effects in both hydroxyl radiomet-ric channels of slower fall rates at the equatorwere slight in the year 2002, but were more pro-nounced each year through 2005.

These effects show correlations with the solar cy-cle, where years 2002 to 2005 exhibited decreasingsunspot counts each succeeding year [8].

5. ACKNOWLEDGEMENTS

This research has been performed in conjunction withthe Rocky Mountain NASA Space Grant Consortiumat Utah State University. Special thanks go to Dr. Do-ran J. Baker for his role as research committee headand major professor in this research effort. Gratitude isalso expressed to other research committee members:Dr. Todd K. Moon, and Dr. Jacob Gunther. Their ex-pertise has been invaluable throughout the life of thisresearch project. Equally valuable have been the di-rection and advice received from Dr. Gene Ware, Dr.Martin Mlynczak, and Dr. James Russell III. Finally,thanks are expressed to all other SABER team mem-bers for their individual contributions.

6. REFERENCES

[1] TIMED, “A mission to explore one ofthe last frontiers in earth’s atmosphere.”http://www.timed.jhuapl.edu/WWW/index.php.

[2] B. K. Thurgood, “Satellite-based correlation stud-ies of mesospheric O2 and OH infrared emis-sions,” masters thesis, Utah State University, Lo-gan, 2006.

[3] SABER, “SABER science data processing.”http://saber.larc.nasa.gov/, Oct. 2005.

[4] D. J. Baker, B. K. Thurgood, W. K. Harrison,M. G. Mlynczak, and J. R. Russell, “Equatorialenhancement of the nighttime OH mesospheric in-frared airglow,” Physica Scripta, vol. 75, pp. 615–619, Mar. 2007.

[5] G. A. Ware, OH Rotational Temperatures UsingOptimal Interferometric Techniques. Dissertation,Utah State University, Logan, 1980.

[6] W. K. Harrison, “Mesospheric infrared airglowmeasurements of molecular twilight transitions by

means of satellite based radiometry,” masters the-sis, Utah State University, Logan, 2007.

[7] K. B. Reese, “Processing and visualization ofmesospheric hydroxyl infrared emission data fromthe SABER sensor,” masters thesis, Utah StateUniversity, Logan, 2005.

[8] M. D. Crown, “Solar cycle progression.”http://www.sec.noaa.gov/SolarCycle/, Mar. 2007.

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