NIRSPEC

UCLA Astrophysics Program	U.C. Berkeley	W.M. Keck Observatory

Don Figer	October 25, 1998

NIRSPEC Optics Design Note 8.00

Back-end Design

I.	Introduction	2

II.	NIRSPEC System Design Requirements	3

III.	Optical System Design Requirements for back-end	5

IV.	Collimator design	8

V.	Gratings Design and instrument modes	8

VI.	TMA Design	9

VII.	Complete back-end Design	9

Appendix A: System/Prescription Data: Surface Prescription	14

Appendix B: System/Prescription Data: Surface Detail	17

Appendix C: System/Prescription Data: Global Vertex Data	21

I.	Introduction

This document describes the system design parameters and optical designs for the NIRSPEC back-end optics, including all elements from the slit to the detector. The primary purpose of the document is to describe the system-level optical performance of the back-end optics, as opposed to being a complete detailed description of the optical sub-components in the back-end. The latter information can be found in other documents, as described in the following individual sections.

Preliminary back-end lens designs were investigated throughout the period from the proposal phase to past the Preliminary Design Review ( PDR ), and can be found in the associated documents. The final design will be discussed here. Table 1 gives a cross-reference list of other documentation concerning all aspects of the back-end design.

Table 1: Document Cross-Reference

Topic	Document
system design	NIRSPEC PDR (9/1/95)

NIRSPEC CDR (2/8/96)

NODN0100

NODN0700
slits	NODN2200
collimator	NODN1300
gratings	NODN1700
TMA	"Specifications for TMA" (Optics 1, 9/19/95)

Phase A Design Study (SSG, 1/26/96)

"Optical Design & Analysis" (SSG, 8/14/96)

TMA CDR (SSG, 8/14/96)

Final Report (SSG, 9/24/97)

TMA ATP (SSG, 9/27/97)

"Cryogenic Performance of the NIRSPEC TMA" (SPIE 3354, 1068)
TMA focal length	NODN2100
System ATP	NODN2600
baffle design	NODN1500

NODN2400

BRO report #2820
transmission	NODN2700
image performance	NODNXXXX

"WFE budget and optomechanical tolerancing for NIRSPEC" (SPIE 3354, 1005)

II.	NIRSPEC System Design Requirements

An optical block diagram is shown in Figure 1. The instrument is can be divided into three sections: 1) external optics, i.e., the calibration unit and guider , 2) the front-end, and 3) the back-end. The window is the natural dividing point for the external optics and front-end, while the slit is the dividing point between the front-end and the back-end.

The system optical requirements are given in Table 2. The properties of the beam are described in Table 3.

Table 2: Optical System Requirements

Parameter	Spec.
EPE ( enpixelled energy)	> 70%
collimated beam	120 mm
high-res mode	R 25,000 for 0.4 arcsec slit
low-res mode	R 2,500 for 0.4 arcsec slit
focal length of back-end camera	420 mm
spectral coverage	1-5 m
transmission	> 98%/reflective (non-dispersive) optic
surface roughness	< 40 (RMS)/reflective (non-dispersive) optic

Table 3: Optical properties of beam

Location	Output Angle Between Extreme Chief Rays	Output Angle Between Marginal Rays for Axial Field Point	Output Beam
primary	65 = 00181	325	converging	f/1.75
secondary	01375	38	converging	f/15
focal plane	01375	38	diverging	f/15
window	01375	38	diverging	f/15
collimator	1694	0°	collimated	-
Lyot stop	692	0°	collimated	-
f/converter	0°	572	converging	f/10
slit	0°	572	diverging	f/10
collimator	0°	0°	collimated	-
echelle	35 (disp. plane)	0°	collimated	-
x- disperser	35 (disp. plane)	0°	collimated	-
TMA	23	163	converging	f/3.5
detector	23	163	diverging	f/3.5

III.	Optical System Design Requirements for back-end

The impact of the system design requirements on the back-end are:

120 mm collimated beam

echelle and cross- disperser gratings (see NODN1700 )

f/3 camera design with a wide field of view ( 3.5°)

baffle design to block unwanted orders (see NODN1500 )

The back-end optical design has been divided into 3 sections or modules, the collimator, the gratings section, and the camera. These sections can be clearly identified in Figures 2 and 3.

IV.	Collimator design

The collimator design is described in NODN1300 . A summary of the optical properties is given in Table 4.

Table 4: Optical Properties of Collimator

Paramter	Value
Focal Length	1200 mm
Clear Aperture	139 mm
Off-axis angle	6°

V.	Gratings Design and instrument modes

The gratings designs are discussed in the gratings bid package (see NODN1700 ). Briefly, the echelle grating is used in the "quasi- Littrow " mode, i.e., the angle between the input and output beams in the plane of dispersion is zero for the gut ray, and the out-of-plane angle is nonzero. The cross- disperser is used with a fixed opening angle of 50° between the input and output angles in the plane of dispersion.

Table 5 gives a summary of design characteristics of the gratings.

Table 5: Grating properties

Parameter	Echelle	Cross- Disperser
Master #	MR149 -1-5-1	MR182 -2-1-1
Blaze angle	630±05	100±05
Efficiency (order)1	> 70% (39)	> 75% (1)
Ruled area2	132 X 312 mm	206 X 186 mm
Bare substrate area	142 X 320 mm	220 X 200 mm
1Efficiency is with respect to an aluminum mirror and is measured near- Littrow , at blaze peak, and in the specified order.

2The ruled area is expressed as (ruled length X ruled width).

VI.	TMA Design

Extensive documentation on the TMA design already exists in the documents listed in Table 1. In brief, the TMA utilizes an elliptical primary, hyperbolic secondary, and elliptical tertiary, (all simple conics) in order to provide an unobscured , fast, achromatic camera. A TMA can be corrected for spherical, coma, and astigmatism. The TMA keystone distortion almost perfectly cancels the anamorphic magnification due to the echelle grating, giving constant sampling of the slit across each echelle order.

Optics 1, Inc. and SSG, Inc. have designed the TMA with the following properties: EFL = 420 mm, Aperture Diameter = 120 mm, F/# = 3.5, FOV = 3.5° by 3.5°. Manufacturing is a critical issue. The substrates were machined from T6061 - T6 Al. They were nickel-plated, post-polished (RMS roughness = 20 ), and silver coated for increased reflectivity. The camera is housed in an athermalized structure.

VII.	Complete back-end Design

A full optical prescription is given in the appendix. Date in the appendices can be reproduced by using the "report" feature in Zemax , and selecting the appropriate options.

Appendix A gives the basic optical prescription which sets up the design in Zemax . The telescope is included (surfaces zero through 3). The back-end starts at the slit, surface 42. Notice the many coordinate breaks which serve to apply tilts and decenters.

Appendix B gives surface detail, including the amount of tilt and decenter and aperture mask sizes.

Appendix C gives the global vertex positions of the various elements. This table provides for an excellent check to see if the prescription is the one we built. Any change in the Zemax file will produce some change in these numbers. In fact, this table was used to verify the Code V model.

A summary of the performance is given in the form of spot diagrams in the following. The figures give spot diagrams for various locations across the array and along the slit. In order to "probe" the performance across the detector, I changed the wavelengths. For instance, when looking from the TMA toward the face of the detector, the top edge of the field corresponds to a wavelength of 1.13375 m, the center to 1.14230 m, and the bottom to 1.15110 m, for the central order. To probe the detector side-to-side, I had to change the wavelengths and the orders. Lower orders (longer wavelengths) are to the right of the detector. The field angles are in degrees and correspond to angles on the sky, i.e., 0.0042° is equivalent to 15 . Notice that this implies a slit length which is longer than the longest high resolution slit (24 ), so the spots will be a bit pessimistic.

The performance produces spots which are mostly within the 1-pixel wide boxes. This is consistent with the predicted enpixelled energies given in "WFE budget and optomechanical tolerancing for NIRSPEC" (SPIE 3354, 1005).

The following give spot diagrams for various negative image rotator positions and the central order. Notice that system performance is not symmetric about the image rotator zero angle. This is because the 3 parabolas in the design are not in the same plane.

The above and below figures give spot diagrams for the extreme orders for an image rotator angle of 0°, 90°, and −90° degrees.

Appendix A: System/Prescription Data: Surface Prescription

File : D:\lenses\ nirspec \ endtoend \ Tmakck24 . zmx

Title: NIRSPEC ON KECK

Date : SUN NOV 8 1998

LENS NOTES:

Notes...

SURFACE DATA SUMMARY:

Surf Type Comment Radius Thickness Glass Diameter Conic

OBJ STANDARD Infinity Infinity 0 0

1 STANDARD Infinity 16.65 0.4914 0

STO STANDARD -34.974 -15.39499 MIRROR 10 -1.003683

3 STANDARD -4.737916 17.89498 MIRROR 1.309857 -1.644326

4 STANDARD Infinity 0.03063336 0.0471791 0

5 STANDARD Infinity 0.0075 CAFL 0.052 0

6 STANDARD Infinity 0.06 0.052 0

7 COORDBRK - 0 - - -

8 COORDBRK - 0 - - -

9 COORDBRK - 0 - - -

10 STANDARD Infinity 0 MIRROR 0.07024257 0

11 COORDBRK - -0.304085 - - -

12 COORDBRK - 0 - - -

13 COORDBRK - 0 - - -

14 COORDBRK - 0 - - -

15 COORDBRK - -0.00408495 - - -

16 COORDBRK - 0 - - -

17 STANDARD 0.7918301 0 MIRROR 0.2200278 -1

18 COORDBRK - 0.00408495 - - -

19 COORDBRK - 0.304085 - - -

20 COORDBRK - 0 - - -

21 STANDARD Infinity 0 MIRROR 0.0513835 0

22 COORDBRK - -0.1036465 - - -

23 COORDBRK - 0 - - -

24 STANDARD Infinity -0.002 CAF2_77X 0.02744924 0

25 STANDARD Infinity -0.048 0.02728572 0

26 COORDBRK - 0 - - -

27 COORDBRK - 0 - - -

28 STANDARD Infinity 0 MIRROR 0.04318231 0

29 COORDBRK - 0.2180015 - - -

30 COORDBRK - 0 - - -

31 COORDBRK - 0.00273089 - - -

32 STANDARD -0.5293582 0 MIRROR 0.1542775 -1

33 COORDBRK - -0.00273089 - - -

34 COORDBRK - 0 - - -

35 COORDBRK - 0 - - -

36 COORDBRK - -0.2180015 - - -

37 COORDBRK - 0 - - -

38 STANDARD Infinity 0 MIRROR 0.04874423 0

39 COORDBRK - 0.04943166 - - -

40 COORDBRK - 0 - - -

41 COORDBRK - 0 - - -

42 STANDARD Infinity 1.203296 0.03192669 0

43 COORDBRK - 0 - - -

44 COORDBRK - 0 - - -

45 COORDBRK - 0.003295879 - - -

46 COORDBRK - 0 - - -

47 STANDARD -2.4 0 MIRROR 0.3868066 -1

48 COORDBRK - 0 - - -

49 COORDBRK - -1.203296 - - -

50 COORDBRK - 0 - - -

51 COORDBRK - 0 - - -

52 COORDBRK - 0 - - -

53 COORDBRK - 0 - - -

54 DGRATING Infinity 0 MIRROR 0.2663462 0

55 STANDARD Infinity 0 0.2663462 0

56 COORDBRK - 0 - - -

57 COORDBRK - 0 - - -

58 COORDBRK - 0 - - -

59 COORDBRK - 0 - - -

60 COORDBRK - 1.15 - - -

61 COORDBRK - 0 - - -

62 COORDBRK - 0 - - -

63 DGRATING Infinity 0 MIRROR 0.242659 0

64 STANDARD Infinity 0 0.242659 0

65 COORDBRK - 0 - - -

66 COORDBRK - 0 - - -

67 COORDBRK - -0.35 - - -

68 COORDBRK - 0 - - -

69 COORDBRK - 0 - - -

70 STANDARD 0.6785632 0 MIRROR 0.6572571 -0.6715615

71 COORDBRK - 0.3303097 - - -

72 COORDBRK - 0 - - -

73 COORDBRK - 0 - - -

74 STANDARD 0.2312846 0 MIRROR 0.1553534 -4.945295

75 COORDBRK - 0 - - -

76 COORDBRK - 0 - - -

77 COORDBRK - -0.332994 - - -

78 COORDBRK - 0 - - -

79 COORDBRK - 0 - - -

80 STANDARD 0.3303025 0 MIRROR 0.1505898 -0.07739628

81 COORDBRK - 0 - - -

82 COORDBRK - 0 - - -

83 COORDBRK - 0.2531544 - - -

84 COORDBRK - 0 - - -

85 COORDBRK - 0 - - -

86 COORDBRK - 0 - - -

87 COORDBRK - 0.08141773 - - -

88 COORDBRK - 0 - - -

89 COORDBRK - 0 - - -

90 COORDBRK - 0 - - -

91 COORDBRK - 0 - - -

92 COORDBRK - 0 - - -

IMA STANDARD Infinity 0.04022466 0

Appendix B: System/Prescription Data: Surface Detail

File : D:\lenses\ nirspec \ endtoend \ Tmakck24 . z mx

Title: NIRSPEC ON KECK

Date : SUN NOV 8 1998

LENS NOTES:

Notes...

SURFACE DATA DETAIL:

Surface OBJ : STANDARD

Surface 1 : STANDARD

Aperture : Circular Obscuration

Minimum Radius : 0

Maximum Radius : 0.6549285

Surface STO : STANDARD

Aperture : Circular Aperture

Minimum Radius : 0.6549285

Maximum Radius : 1e +010

Surface 3 : STANDARD

Surface 4 : STANDARD

Aperture : Circular Aperture

Minimum Radius : 0

Maximum Radius : 0.023631

Surface 5 : STANDARD

Aperture : Circular Aperture

Minimum Radius : 0

Maximum Radius : 0.026

Surface 6 : STANDARD

Aperture : Circular Aperture

Minimum Radius : 0

Maximum Radius : 0.026

Surface 7 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 180

Order : Decenter then tilt

Surface 8 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 9 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -47.9

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 10 : STANDARD

Aperture : Rectangular Aperture

X Half Width : 0.02905

Y Half Width : 0.0448

Surface 11 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -47.9

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 12 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 13 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 11.6

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 14 : COORDBRK

Decenter X : 0

Decenter Y : 0.080431168

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 15 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 16 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 17 : STANDARD

Aperture : Circular Aperture

Minimum Radius : 0

Maximum Radius : 0.0396

Y- Decenter : -0.080431201

Surface 18 : COORDBRK

Decenter X : 0

Decenter Y : -0.080431168

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 19 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 20 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -47.9

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 21 : STANDARD

Aperture : Rectangular Aperture

X Half Width : 0.02015

Y Half Width : 0.034

Surface 22 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -47.9

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 23 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 24 : STANDARD

Aperture : Circular Aperture

Minimum Radius : 0

Maximum Radius : 0.015

Surface 25 : STANDARD

Aperture : Circular Aperture

Minimum Radius : 0

Maximum Radius : 0.015

Surface 26 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 27 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -47.9

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 28 : STANDARD

Aperture : Rectangular Aperture

X Half Width : 0.01745

Y Half Width : 0.02732

Surface 29 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -47.9

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 30 : COORDBRK

Decenter X : 0

Decenter Y : 0.053770247

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 31 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 32 : STANDARD

Aperture : Circular Aperture

Minimum Radius : 0

Maximum Radius : 0.03153

Y- Decenter : -0.0537703

Surface 33 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 34 : COORDBRK

Decenter X : 0

Decenter Y : -0.053770247

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 35 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 11.6

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 36 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 37 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -47.9

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 38 : STANDARD

Aperture : Rectangular Aperture

X Half Width : 0.031864

Y Half Width : 0.02548

X- Decenter : 0.014414

Surface 39 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -47.9

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 40 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 41 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : -180

Order : Decenter then tilt

Surface 42 : STANDARD

Aperture : Rectangular Aperture

X Half Width : 0.0074

Y Half Width : 9.7e -005

Surface 43 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 44 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : -6

Tilt About Z : 0

Order : Decenter then tilt

Surface 45 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 46 : COORDBRK

Decenter X : -0.12577867

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 47 : STANDARD

Aperture : Circular Aperture

Minimum Radius : 0

Maximum Radius : 0.08

X- Decenter : 0.12577

Surface 48 : COORDBRK

Decenter X : 0.12577867

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 49 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 50 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 51 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 5

Tilt About Z : 0

Order : Decenter then tilt

Surface 52 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 53 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 63.02

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 54 : DGRATING

Lines / Micron : 0.0232

Diffract Order : 67

Aperture : Rectangular Aperture

X Half Width : 0.066

Y Half Width : 0.156

Surface 55 : STANDARD

Aperture : Rectangular Aperture

X Half Width : 0.071

Y Half Width : 0.16

Surface 56 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -63.02

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 57 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 58 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 5

Tilt About Z : 0

Order : Decenter then tilt

Surface 59 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 60 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 61 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 90

Order : Decenter then tilt

Surface 62 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -35.89783

Tilt About Y : 0

Tilt About Z : 0

Order : Tilt then decenter

Surface 63 : DGRATING

Lines / Micron : 0.075001875

Diffract Order : 4

Aperture : Rectangular Aperture

X Half Width : 0.103

Y Half Width : 0.093

Surface 64 : STANDARD

Aperture : Rectangular Aperture

X Half Width : 0.11

Y Half Width : 0.1

Surface 65 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -14.1022

Tilt About Y : 0

Tilt About Z : 0

Order : Tilt then decenter

Surface 66 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : -90

Order : Decenter then tilt

Surface 67 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 68 : COORDBRK

Decenter X : 0

Decenter Y : 0.22849426

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 69 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 6.6632999

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 70 : STANDARD

Aperture : Elliptical Aperture

X Half Width : 0.125

Y Half Width : 0.11

Y- Decenter : -0.22499999

Surface 71 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 72 : COORDBRK

Decenter X : 0

Decenter Y : 0.006294235

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 73 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -0.12782381

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 74 : STANDARD

Aperture : Elliptical Aperture

X Half Width : 0.02

Y Half Width : 0.026

Y- Decenter : -0.054000001

Surface 75 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0.12782381

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 76 : COORDBRK

Decenter X : 0

Decenter Y : -0.006294235

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 77 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 78 : COORDBRK

Decenter X : 0

Decenter Y : -0.0086412849

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 79 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -1.389563

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 80 : STANDARD

Aperture : Elliptical Aperture

X Half Width : 0.13

Y Half Width : 0.08

Surface 81 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 1.389563

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 82 : COORDBRK

Decenter X : 0

Decenter Y : 0.0086412849

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 83 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 84 : COORDBRK

Decenter X : 0

Decenter Y : 0.033101144

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 85 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 86 : COORDBRK

Decenter X : 0

Decenter Y : -0.033101087

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 87 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 88 : COORDBRK

Decenter X : 3.5944788e -006

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 89 : COORDBRK

Decenter X : 0

Decenter Y : 0.046702877

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 90 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : -2.8476251

Tilt About Y : 0

Tilt About Z : 0

Order : Decenter then tilt

Surface 91 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : -0.045513461

Tilt About Z : 0

Order : Decenter then tilt

Surface 92 : COORDBRK

Decenter X : 0

Decenter Y : 0

Tilt About X : 0

Tilt About Y : 0

Tilt About Z : 4.54

Order : Decenter then tilt

Surface IMA : STANDARD

Aperture : Rectangular Aperture

X Half Width : 0.013824

Y Half Width : 0.013824

Appendix C: System/Prescription Data: Global Vertex Data

File : D:\lenses\ nirspec \ endtoend \ Tmakck24 . zmx

Title: NIRSPEC ON KECK

Date : SUN NOV 8 1998

LENS NOTES:

Notes...

GLOBAL VERTEX COORDINATES, ORIENTATIONS, AND ROTATION/OFFSET MATRICES:

Reference Surface: 1

Surf R11 R12 R13 X

R21 R22 R23 Y

R31 R32 R33 Z

1 1.000000 0.000000 0.000000 0.000000

0.000000 1.000000 0.000000 0.000000

0.000000 0.000000 1.000000 0.000000

2 1.000000 0.000000 0.000000 0.000000

0.000000 1.000000 0.000000 0.000000

0.000000 0.000000 1.000000 16.650000

3 1.000000 0.000000 0.000000 0.000000

0.000000 1.000000 0.000000 0.000000

0.000000 0.000000 1.000000 1.255015

4 1.000000 0.000000 0.000000 0.000000

0.000000 1.000000 0.000000 0.000000

0.000000 0.000000 1.000000 19.150000

5 1.000000 0.000000 0.000000 0.000000

0.000000 1.000000 0.000000 0.000000

0.000000 0.000000 1.000000 19.180633

6 1.000000 0.000000 0.000000 0.000000

0.000000 1.000000 0.000000 0.000000

0.000000 0.000000 1.000000 19.188133

7 -1.000000 0.000000 0.000000 0.000000

-0.000000 -1.000000 0.000000 0.000000

0.000000 0.000000 1.000000 19.248133

8 -1.000000 0.000000 0.000000 0.000000

-0.000000 -1.000000 0.000000 0.000000

0.000000 0.000000 1.000000 19.248133

9 -1.000000 0.000000 0.000000 0.000000

-0.000000 -0.670427 -0.741976 0.000000

0.000000 -0.741976 0.670427 19.248133

10 -1.000000 0.000000 0.000000 0.000000

-0.000000 -0.670427 -0.741976 0.000000

0.000000 -0.741976 0.670427 19.248133

11 -1.000000 -0.000000 0.000000 0.000000

-0.000000 0.101056 -0.994881 0.000000

0.000000 -0.994881 -0.101056 19.248133

12 -1.000000 -0.000000 0.000000 -0.000000

-0.000000 0.101056 -0.994881 0.302528

0.000000 -0.994881 -0.101056 19.278863

13 -1.000000 0.000000 0.000000 -0.000000

-0.000000 -0.101056 -0.994881 0.302528

0.000000 -0.994881 0.101056 19.278863

14 -1.000000 0.000000 0.000000 -0.000000

-0.000000 -0.101056 -0.994881 0.294400

0.000000 -0.994881 0.101056 19.198844

15 -1.000000 0.000000 0.000000 -0.000000

-0.000000 -0.101056 -0.994881 0.294400

0.000000 -0.994881 0.101056 19.198844

16 -1.000000 0.000000 0.000000 -0.000000

-0.000000 -0.101056 -0.994881 0.298464

0.000000 -0.994881 0.101056 19.198431

17 -1.000000 0.000000 0.000000 -0.000000

-0.000000 -0.101056 -0.994881 0.298464

0.000000 -0.994881 0.101056 19.198431

18 -1.000000 0.000000 0.000000 -0.000000

-0.000000 -0.101056 -0.994881 0.306592

0.000000 -0.994881 0.101056 19.278450

19 -1.000000 0.000000 0.000000 -0.000000

-0.000000 -0.101056 -0.994881 0.302528

0.000000 -0.994881 0.101056 19.278863

20 -1.000000 -0.000000 0.000000 0.000000

-0.000000 0.670427 -0.741976 -0.000000

0.000000 -0.741976 -0.670427 19.309593

21 -1.000000 -0.000000 0.000000 0.000000

-0.000000 0.670427 -0.741976 -0.000000

0.000000 -0.741976 -0.670427 19.309593

22 -1.000000 -0.000000 -0.000000 0.000000

-0.000000 1.000000 0.000000 -0.000000

0.000000 0.000000 -1.000000 19.309593

23 -1.000000 -0.000000 -0.000000 0.000000

-0.000000 1.000000 0.000000 -0.000000

0.000000 0.000000 -1.000000 19.413239

24 -1.000000 -0.000000 -0.000000 0.000000

-0.000000 1.000000 0.000000 -0.000000

0.000000 0.000000 -1.000000 19.413239

25 -1.000000 -0.000000 -0.000000 0.000000

-0.000000 1.000000 0.000000 -0.000000

0.000000 0.000000 -1.000000 19.415239

26 -1.000000 -0.000000 -0.000000 0.000000

-0.000000 1.000000 0.000000 -0.000000

0.000000 0.000000 -1.000000 19.463239

27 -1.000000 -0.000000 -0.000000 0.000000

-0.000000 0.670427 0.741976 -0.000000

0.000000 0.741976 -0.670427 19.463239

28 -1.000000 -0.000000 -0.000000 0.000000

-0.000000 0.670427 0.741976 -0.000000

0.000000 0.741976 -0.670427 19.463239

29 -1.000000 0.000000 -0.000000 0.000000

-0.000000 -0.101056 0.994881 -0.000000

0.000000 0.994881 0.101056 19.463239

30 -1.000000 0.000000 -0.000000 -0.000000

-0.000000 -0.101056 0.994881 0.211452

0.000000 0.994881 0.101056 19.538765

31 -1.000000 0.000000 -0.000000 -0.000000

-0.000000 -0.101056 0.994881 0.211452

0.000000 0.994881 0.101056 19.538765

32 -1.000000 0.000000 -0.000000 -0.000000

-0.000000 -0.101056 0.994881 0.214169

0.000000 0.994881 0.101056 19.539041

33 -1.000000 0.000000 -0.000000 -0.000000

-0.000000 -0.101056 0.994881 0.214169

0.000000 0.994881 0.101056 19.539041

34 -1.000000 0.000000 -0.000000 -0.000000

-0.000000 -0.101056 0.994881 0.216886

0.000000 0.994881 0.101056 19.485270

35 -1.000000 -0.000000 -0.000000 -0.000000

-0.000000 0.101056 0.994881 0.216886

0.000000 0.994881 -0.101056 19.485270

36 -1.000000 -0.000000 -0.000000 -0.000000

-0.000000 0.101056 0.994881 0.216886

0.000000 0.994881 -0.101056 19.485270

37 -1.000000 0.000000 -0.000000 0.000000

-0.000000 -0.670427 0.741976 -0.000000

0.000000 0.741976 0.670427 19.507300

38 -1.000000 0.000000 -0.000000 0.000000

-0.000000 -0.670427 0.741976 -0.000000

0.000000 0.741976 0.670427 19.507300

39 -1.000000 0.000000 0.000000 0.000000

-0.000000 -1.000000 -0.000000 -0.000000

0.000000 -0.000000 1.000000 19.507300

40 -1.000000 0.000000 0.000000 0.000000

-0.000000 -1.000000 -0.000000 -0.000000

0.000000 -0.000000 1.000000 19.556732

41 1.000000 0.000000 0.000000 0.000000

0.000000 1.000000 -0.000000 -0.000000

-0.000000 0.000000 1.000000 19.556732

42 1.000000 0.000000 0.000000 0.000000

0.000000 1.000000 -0.000000 -0.000000

-0.000000 0.000000 1.000000 19.556732

43 1.000000 0.000000 0.000000 0.000000

0.000000 1.000000 -0.000000 -0.000000

-0.000000 0.000000 1.000000 20.760028

44 0.994522 0.000000 -0.104528 0.000000

-0.000000 1.000000 -0.000000 -0.000000

0.104528 0.000000 0.994522 20.760028

45 0.994522 0.000000 -0.104528 0.000000

-0.000000 1.000000 -0.000000 -0.000000

0.104528 0.000000 0.994522 20.760028

46 0.994522 0.000000 -0.104528 -0.125434

-0.000000 1.000000 -0.000000 -0.000000

0.104528 0.000000 0.994522 20.750158

47 0.994522 0.000000 -0.104528 -0.125434

-0.000000 1.000000 -0.000000 -0.000000

0.104528 0.000000 0.994522 20.750158

48 0.994522 0.000000 -0.104528 -0.000345

-0.000000 1.000000 -0.000000 -0.000000

0.104528 0.000000 0.994522 20.763305

49 0.994522 0.000000 -0.104528 -0.000345

-0.000000 1.000000 -0.000000 -0.000000

0.104528 0.000000 0.994522 20.763305

50 0.994522 0.000000 -0.104528 0.125434

-0.000000 1.000000 -0.000000 -0.000000

0.104528 0.000000 0.994522 19.566601

51 0.999848 0.000000 -0.017452 0.125434

-0.000000 1.000000 -0.000000 -0.000000

0.017452 0.000000 0.999848 19.566601

52 0.999848 0.000000 -0.017452 0.125434

-0.000000 1.000000 -0.000000 -0.000000

0.017452 0.000000 0.999848 19.566601

53 0.999848 -0.015553 -0.007918 0.125434

-0.000000 0.453679 -0.891165 -0.000000

0.017452 0.891029 0.453610 19.566601

54 0.999848 -0.015553 -0.007918 0.125434

-0.000000 0.453679 -0.891165 -0.000000

0.017452 0.891029 0.453610 19.566601

55 0.999848 -0.015553 -0.007918 0.125434

-0.000000 0.453679 -0.891165 -0.000000

0.017452 0.891029 0.453610 19.566601

56 0.999848 0.000000 -0.017452 0.125434

-0.000000 1.000000 -0.000000 -0.000000

0.017452 0.000000 0.999848 19.566601

57 0.999848 0.000000 -0.017452 0.125434

-0.000000 1.000000 -0.000000 -0.000000

0.017452 0.000000 0.999848 19.566601

58 0.997564 0.000000 0.069756 0.125434

0.000000 1.000000 -0.000000 -0.000000

-0.069756 0.000000 0.997564 19.566601

59 0.997564 0.000000 0.069756 0.125434

0.000000 1.000000 -0.000000 -0.000000

-0.069756 0.000000 0.997564 19.566601

60 0.997564 0.000000 0.069756 0.125434

0.000000 1.000000 -0.000000 -0.000000

-0.069756 0.000000 0.997564 19.566601

61 -0.000000 -0.997564 0.069756 0.205654

1.000000 -0.000000 -0.000000 -0.000000

0.000000 0.069756 0.997564 20.713800

62 -0.000000 -0.848992 -0.528406 0.205654

1.000000 0.000000 -0.000000 -0.000000

0.000000 -0.528406 0.848992 20.713800

63 -0.000000 -0.848992 -0.528406 0.205654

1.000000 0.000000 -0.000000 -0.000000

0.000000 -0.528406 0.848992 20.713800

64 -0.000000 -0.848992 -0.528406 0.205654

1.000000 0.000000 -0.000000 -0.000000

0.000000 -0.528406 0.848992 20.713800

65 -0.000000 -0.694658 -0.719340 0.205654

1.000000 0.000000 -0.000000 -0.000000

0.000000 -0.719340 0.694658 20.713800

66 0.694658 -0.000000 -0.719340 0.205654

-0.000000 1.000000 -0.000000 -0.000000

0.719340 0.000000 0.694658 20.713800

67 0.694658 -0.000000 -0.719340 0.205654

-0.000000 1.000000 -0.000000 -0.000000

0.719340 0.000000 0.694658 20.713800

68 0.694658 -0.000000 -0.719340 0.457423

-0.000000 1.000000 -0.000000 0.228494

0.719340 0.000000 0.694658 20.470670

69 0.694658 -0.083468 -0.714481 0.457423

-0.000000 0.993245 -0.116035 0.228494

0.719340 0.080604 0.689966 20.470670

70 0.694658 -0.083468 -0.714481 0.457423

-0.000000 0.993245 -0.116035 0.228494

0.719340 0.080604 0.689966 20.470670

71 0.694658 -0.083468 -0.714481 0.457423

-0.000000 0.993245 -0.116035 0.228494

0.719340 0.080604 0.689966 20.470670

72 0.694658 -0.083468 -0.714481 0.220898

-0.000000 0.993245 -0.116035 0.196419

0.719340 0.080604 0.689966 20.699079

73 0.694658 -0.081874 -0.714666 0.220898

-0.000000 0.993502 -0.113818 0.196419

0.719340 0.079065 0.690144 20.699079

74 0.694658 -0.081874 -0.714666 0.220898

-0.000000 0.993502 -0.113818 0.196419

0.719340 0.079065 0.690144 20.699079

75 0.694658 -0.083468 -0.714481 0.220898

-0.000000 0.993245 -0.116035 0.196419

0.719340 0.080604 0.689966 20.699079

76 0.694658 -0.083468 -0.714481 0.221423

-0.000000 0.993245 -0.116035 0.190167

0.719340 0.080604 0.689966 20.698572

77 0.694658 -0.083468 -0.714481 0.221423

-0.000000 0.993245 -0.116035 0.190167

0.719340 0.080604 0.689966 20.698572

78 0.694658 -0.083468 -0.714481 0.460062

-0.000000 0.993245 -0.116035 0.220223

0.719340 0.080604 0.689966 20.468121

79 0.694658 -0.066118 -0.716295 0.460062

-0.000000 0.995767 -0.091914 0.220223

0.719340 0.063849 0.691717 20.468121

80 0.694658 -0.066118 -0.716295 0.460062

-0.000000 0.995767 -0.091914 0.220223

0.719340 0.063849 0.691717 20.468121

81 0.694658 -0.083468 -0.714481 0.460062

-0.000000 0.993245 -0.116035 0.220223

0.719340 0.080604 0.689966 20.468121

82 0.694658 -0.083468 -0.714481 0.459341

-0.000000 0.993245 -0.116035 0.228806

0.719340 0.080604 0.689966 20.468818

83 0.694658 -0.083468 -0.714481 0.459341

-0.000000 0.993245 -0.116035 0.228806

0.719340 0.080604 0.689966 20.468818

84 0.694658 -0.083468 -0.714481 0.275704

-0.000000 0.993245 -0.116035 0.232309

0.719340 0.080604 0.689966 20.646154

85 0.694658 -0.083468 -0.714481 0.275704

-0.000000 0.993245 -0.116035 0.232309

0.719340 0.080604 0.689966 20.646154

86 0.694658 -0.083468 -0.714481 0.278467

-0.000000 0.993245 -0.116035 0.199431

0.719340 0.080604 0.689966 20.643486

87 0.694658 -0.083468 -0.714481 0.278467

-0.000000 0.993245 -0.116035 0.199431

0.719340 0.080604 0.689966 20.643486

88 0.694658 -0.083468 -0.714481 0.220298

-0.000000 0.993245 -0.116035 0.189984

0.719340 0.080604 0.689966 20.699664

89 0.694658 -0.083468 -0.714481 0.216400

-0.000000 0.993245 -0.116035 0.236371

0.719340 0.080604 0.689966 20.703428

90 0.694658 -0.047870 -0.717746 0.216400

-0.000000 0.997783 -0.066547 0.236371

0.719340 0.046227 0.693118 20.703428

91 0.694088 -0.047870 -0.718297 0.216400

-0.000053 0.997783 -0.066547 0.236371

0.719891 0.046227 0.692547 20.703428

92 0.688121 -0.102660 -0.718297 0.216400

0.078927 0.994657 -0.066547 0.236371

0.721291 -0.010901 0.692547 20.703428

93 0.688121 -0.102660 -0.718297 0.216400

0.078927 0.994657 -0.066547 0.236371

0.721291 -0.010901 0.692547 20.703428