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An Echelle Spectrometer-Spectrograph for Astronomical Use - FG ...

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I-<br />

3 I<br />

'5790<br />

in two~~ orders.Teitniisaesae ota order 70i<br />

isatk514inorrm+I d154i re m 577 +<br />

blaze. These scans were repeated <strong>for</strong> several different<br />

wavelength settings of the small monochromator. The<br />

results of these scans show that the instrumental function<br />

of the echelle can be accurately determined and is<br />

in good agreement with the expected single-slit diffraction<br />

pattern. Figure 5 shows the envelope of these<br />

scans compared with a theoretical single-slit diffraction<br />

curve and the effect of this envelope on the measured<br />

intensities of several lines. The separation of the minima<br />

in the theoretical curve is two free spectral ranges.<br />

Application of the measured blaze function to the intensities<br />

of the Hg line pairs shows that X5790 is slightly<br />

stronger than X5770. In practice all scans are restricted<br />

to the region of width 5X centered about the peak. This<br />

function need only be determined in one spectral<br />

region as the shape is independent of wavelength;<br />

only the angular width depends on wavelength.<br />

Discussion<br />

The echelle instrument proposed above shows great<br />

potential <strong>for</strong> astronomy. As pointed out by Code and<br />

Liller 5 one of the primary considerations of an astronomical<br />

spectrometer is the bandpass, or spectral<br />

purity, at the exit slit <strong>for</strong> a given entrance slit width.<br />

Calculations show that the spectral purity AXmin is<br />

given by<br />

Figh5 Fullg crvpoe Enelope the esure chewll blaze<br />

function. Dase mncromTatcige sin-si diraction cure.-<br />

Thes pot andnteniso the width9 line H s are showuio. nh<br />

AXmi. = A/[fc. iG/AX)l, 0<br />

(12)<br />

instwo orders. Thecitroensteare scale sti X5 tat thire<br />

where As is the entrance slit width, f-0l is the collimator<br />

mo atchels the mesudiurv. Thescentro thaes lze unctiond<br />

focal length, and AG/AX is the angular dispersion. It is<br />

clear from Eq. (12) that the bandpass can be decreased<br />

mirrrif the twos irrsthven thee focal engflths.-<br />

spcrmtrwl spcrlrneteisrmna edtrmndol<br />

ucino yteehle h cel only by increasing either f-ol or the angular dispersion.<br />

thue Al design fteohrotclcmoet proposed beow the rsiduals ftessefo oma will stnd There is an obvious limit to increasing fcol since the<br />

tospradamocrmatic image.Tse in ai diton pesr-ac beam diameter at the echelle is f_/telescope f ratio.<br />

ppendicular to the ecera dirsion. Thisrhowver The real gain in reducing the bandpass is there<strong>for</strong>e<br />

effected by increasing the angular dispersion, a result<br />

destnot actrdo th ie witand rfteolution hew<br />

usua dependentoverd<br />

gtiong sectoeterazo A.de<br />

obtained by using an echelle.<br />

the etrsli insenatte<br />

A spectrometer patterned after the laboratory instru-<br />

tagntialtigdeematin imgeof setgati insit pret ment is now being built <strong>for</strong> use at the Cassegrain focus<br />

sfae. Severa Ful Inqutis cans:Enl nstrumente of the thesfocalnplanetis ouptwrete echelle maue flaelade<br />

causetitnisalocatedeatnthehpositionssofythensagittae<br />

astgmti imtaes.i Thes magesli oon alato sfacea<br />

thrug abt three echn orders55 enere on the<br />

erpven icular rleua amerasmirrorlnormal<br />

to the<br />

fature cetee (aot pea of t blzfnton The sow<br />

thestrng effect of theaeont recordedla innsities.n<br />

quaiaten dthemiation ohefre spectral net Thre<br />

<strong>for</strong>ectrequresian accuratedmeasureentaofethist blaze<br />

fuction, apetrmeuement wich sueasilyt doeri thes<br />

folloingr way. Ae tungterne amp is imae uni<strong>for</strong>ly<br />

Ao the entane sliticlcmoet ah smallm of moocromaoseatn<br />

eqivalsueto wdteatry eqalt thsetal freeet rane<br />

Svrsasof the echelle (aoutpu 60r A tX8.then mno-<br />

of the University of Wisconsin 91-cm, f/13.6 telescope<br />

at Pine Bluff. The instrument will be as shown in Fig.<br />

2 except that mirror Ml will have a focal length of 1.0 m<br />

instead of 0.5 m as in the laboratory design. Two flat<br />

mirrors will fold the entrance beam and allow the telescope<br />

axis to be perpendicular to the plane of Fig. 2.<br />

This will provide a beam diameter of 74 mm at the<br />

echelle. The camera mirror M2 will have a focal<br />

length of 0.5 m. At X5000 the dispersion is 2.50 A/mm<br />

and, because of the magnification ratio, the bandpass is<br />

1.25 A/mm of entrance slit.<br />

<strong>An</strong> echelle with 30 lines/mm, when used in series with<br />

a 600 lines/mm grating, will provide a capability of<br />

photographing 1000 A of spectrum on a single 35-mm<br />

frame with the spectral purity given above. This<br />

capability is particularly attractive when considered<br />

in conjunction with an electronic imaging device at the<br />

truhattreechelle spcrmtrrIsasd cetatd oe ths<br />

focal plane. This combination of dispersing elements,<br />

will also be used <strong>for</strong> scanning of stellar sources over<br />

small spectral regions. Because of the peculiar twodimensional<br />

nature of the focused spectrum, it will be<br />

necessary to scan both the grating and echelle to keep<br />

November 1967 / Vol. 6, No. 11 / APPLIED OPTICS 1979

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