spectral transmissive properties of five selected optical ... · table l. spect ral t an millance...

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Jou rnal of Re sear ch of the National Bureau of Sta ndards Vol. 52, No.6, June 1954 Re sea rc h Pa per 2505 Spectral Transmissive Properties of Five Selected Optical Glasses * Harry J. Keegan, Marion A. BelknaPI and Dorothy J. Cordrey I Measu rements of the sp ect ral tra nsmi ttance and in terna l tra ns mit t an ce of fi ve opt ical glasses fOT the wavelength region 200 to 1,000 millim icrons are reported . 1. Introduction The transmittance, T, of a platc is defined as the ratio of radiant flux (P 2) transmitted by the plate to the flux (P I) incident upon it. Internal trans- mittance (Ti) is de fin ed as the ratio of the flux (P) arriving at the second surface of the plate to that flux (P o) pen etrating the fir t surface . All values of T and Ti are fun cLio ns of wavelength. The transmittan ce and internal transmittances repor ted were dete rmined for glasses of the NBS melts for which the chemical co mpositions arc given in Research Pap er 2504. The sampl es were pl'epared m the NBS Optical hop in the form of cylinders or plates, 30 mm in diameter, with surfaces plane, parallel, and polished. The rare earth glass, n= 1.673,2 v= 56 .2 , wa s pre- pared in thicknesses of 5 and 105 mm. The other four glasses were prepared in a thickness of 1 mm in addition to greater thicknesses. The thin samples were co mpared against a blank beam, and spectral transmit tance was so obtained. The thick sampl es were compared to the thin sample of the same kind of glass, the resulting ratios being taken as internal tra nsmitt an ce for a sampl e of t hi ckness equal to the difference between thiel, a nd thin sp ecimen .3 2. Spectrophotometric Measurements N lo st pectrophot ometers arc designed primarily for sample bet .. .veen 0- and 10- to 50 -mm thickness, but can be use d with sampl es of somewhat greater thickne . Th e gr eater the thickness, however, the more the inst rument is subject to errors r esulting from refraction of the various rays in the beam, for although these rays arc approximately parallel and at right angJ es to the urfaces, they are in general not strictl y so. Th e res ult is, in e ff ect, a change in PI to Po of the above defining rel at ions for transmit - tance, P 2/F\ , or for internal transmittance, PIPo. r rhis is particularly tr ue ' wh en, as in the present ' The companion papcl's in this i ssll e present valucs of the ind cx of refraction , Mnsities, and cocfTt cie nt s of linear thermal expansion for fi ve different types of optical glasses produced by tbe Optical Glass Section of the National Bureau of Standard s. Tbese measurement s have been made in tbe different organi - zation al par ts of the Bureau appropriate to eacb ty pe of mcas urement, and are, tberefore, pr esented separately. For each type of glass the sampl es bave been taken fr om the same melt , and , therefore, tbese papers present, collectivel y, a cons istent set of data for tbe fi ve glasses stu di ed. 1 N ow Mrs. Frederick J. Does, E. 1. d uP ont de Nemours & Co. , Inc., Parlin, N. J. 'n=index of refract ion for t he sodium D lines, and P, t he Abbe valne=(n-l )! (np-nc) , where np and nc arc rcfraeti ve indices for the hydrogen F and C lin cs, res pectivel )". 3 Glass DF, n=1.M9, ,,=33. & was prepared in greater tbickness of 97 mm and compared to the 5·mm sa mpl e. Values of T, for 1 00 mm lor t hi s glass are computed from tbe values of 7'i, for 92 mm so determined. measurement s with the thick sampl es, the co mp ensa- tion beam of the spectrophotometer do es not co ntain a sample of the same len gth (as it usually does, for exampl e, in measuring the transmittance of a solution r elativ e to its solvent). Four types of spectrophotometers were available for this worl;:. Th e design of two of these instru- ment s (the General El ectric recording spectropho- tometer and the Konig-Marten visual spectropho- tometer) are snch as to give confidence in the resul ts for thick amples. Th e other two instr ument s (the B eckman quartz photoelectric spectrophotometer and the Gibson photoelectri c spectrophotometer [9])4 were sensiti ve to beam disturbance with thick sam- pl es . In the work on the rare-earth g lass 1.673, it was found that the latter instrument was too sensi- tive to beam disturbance on insertion of the thick sample to giv e valid r es ults, and it therefore was not used in the l ater measu rements on the other glasses. In the General El ectric pectrophotometer (GE ) [1, 2, 3] the beam of radiant energy, after transmis- sion through tbe sampl e, is incident upon a diffusing w' hit e surface of uniform reflectance forming part of the int erior wall of a white-lined integrating sphere. Any deviation or dispersion of the beam should not, therefore, cau se appreciable error , if not so gr eat that part of the beam imping es on the entrance apert ur e of the sphere. On the Konig-Mart ens spectrophotometer (K-M) [4] the reverse but equivalent condition exists. Th e radiant en er gy is r e fl ec ted from a diffusing surface of MgO, which is part of an enelosur e completely cov- ered with MgO, except for the part co ntaining the bases of the lamps from which the radiant ener gy originates. Multiple re fl ections should give a wall surface of essentially uniform radiance , and any dis- placement of this so ur ce in the photometric fi eld by the thick sample should not introdu ce important error in the r esult s. Th e principal value of the K-M measuremen ts was to confirm the reliability of the GE data even for th e thickest amples. How'ever, the pr ecision of th e visual measur em ents is less t han the photoel ectric, and except with the rare-earth glass 1.673, only a few check m easuremen ts were mad e on the K-NI spectro photometer. Th e B eckman quartz photoelectric spectro photom- eter (model DU) (BQ) [5, 6] is so mewhat susceptibl e to error s resulting from beam di turban ce on inser- tion of the sample, and the thicker the sampl e the greater may be the error. On this instrument, the Figures in brackets indi cate the index refcrences at tbe e nd of this paper. 305

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Page 1: Spectral transmissive properties of five selected optical ... · TABLE l. Spect ral t an millance and intemal t1'ansmillance data of five selected optical glasses made at NBS .r or

Journal of Research of the National Bureau of Sta ndards Vol. 52, No.6, June 1954 Research Paper 250 5

Spectral Transmissive Properties of Five Selected Optical Glasses *

Harry J. Keegan, Marion A. BelknaPI and Dorothy J. Cordrey I

Measuremen ts of t he spectral transmittance and internal transmit tan ce of fi ve optical glasses fOT the wavelength region 200 to 1,000 millim icrons are reported .

1. Introduction

The transmittance, T, of a platc is defined as the ratio of radiant flux (P 2) transmitted by the plate to the flux (P I) incident upon it. Internal trans­mittance (Ti) is defin ed as the ratio of the flux (P) arriving at the second surface of the plate to that flux (Po) penetrating the fir t surface. All values of T and T i are funcLions of wavelength.

The transmittan ce and internal transmittances repor ted were determined for glasses of the NBS melts for which the chemical compositions arc given in Research Paper 2504.

The samples were pl'epared m the NBS Op tical hop in the form of cylinders or plates, 30 mm in

diameter , with surfaces plane, parallel, and polished. The rare earth glass, n = 1.673,2 v= 56.2, was pre­pared in thicknesses of 5 and 105 mm. The other four glasses were prepared in a thickness of 1 mm in addition to greater thicknesses. The thin samples were compared against a blank beam, and spectral transmittance was so obtained. The thick samples were compared to the thin sample of the same kind of glass, the resul ting ratios being taken as in ternal transmittance for a sample of thickness equal to the difference between thiel, and thin specimen .3

2. Spectrophotometric Measurements

Nlost pectrophotometers arc designed primarily for sample bet .. .veen 0- and 10- to 50-mm thickness, but can be used with samples of somewhat greater thickne . The greater the thickness, however, the more the instrument is subj ect to errors resulting from refraction of the various rays in the beam, for although these rays arc approximately parallel and at right angJes to the urfaces, they are in general not strictly so. The result is, in effect, a change in PI to P o of the above defining relations for transmit­tance, P 2/F\ , or for internal transmittance, PIPo. rrhis is particularly true 'wh en , as in the present

' The companion papcl's in this isslle present valucs of the indcx of refraction , Mnsities, and cocfTtcients of linear thermal expansion for fi ve different types of optical glasses produced by tbe Optical Glass Section of the National Bureau of Standard s. Tbese measurements have been made in tbe different organi­zational parts of the Bureau appropriate t o eacb type of mcasurement, and are, tberefore, presented separately. For each type of glass the samples bave been taken from the same melt, and , therefore, tbese papers present, collectively, a consistent set of data for tbe fi ve glasses stu died.

1 Now Mrs. Frederick J . Does, E . 1. duPont de Nemours & Co., Inc., Parlin, N. J .

'n=index of refraction for t he sodium D lines, and P , the Abbe valne=(n-l )! (np-nc) , where np and nc arc rcfraeti ve indices for the hydrogen F and C lincs, respectivel)".

3 Glass DF, n =1.M9, ,,=33.& was prepared in greater tbickness of 97 mm and compared to the 5·mm sa mple. Values of T , for 100 mm lor this glass are computed from tbe values of 7'i, for 92 mm so determined.

measurements with the thick samples, the compensa­tion beam of the spectrophotometer does not contain a sample of the same length (as it usually does, for example, in measuring the transmittance of a solution relative to its solvent).

Four types of spectrophotometers were available for this worl;:. The design of two of these instru­ments (the General Electric recording spectropho­tometer and the Konig-Marten visual spectropho­tometer) are snch as to give confidence in the results for thick amples. The other two instruments (the Beckman quartz photoelectric spectrophotometer and the Gibson photoelectric spectrophotometer [9])4 were sensitive to beam disturbance with thick sam­ples. In the work on the rare-earth glass 1.673, it was found that the latter instrument was too sensi­tive to beam disturbance on insertion of the thick sample to give valid results, and it therefore was not used in the later measurements on the other glasses.

In the General Electric pectrophotometer (GE) [1, 2, 3] the beam of radiant energy, after transmis­sion through tbe sample, is incident upon a diffusing w'hite surface of uniform reflectance forming part of the interior wall of a white-lined integrating sphere. Any deviation or dispersion of the beam should no t , therefore, cause appreciable error, if not so great that part of the beam impinges on the entrance aperture of the sphere.

On the K onig-Martens spectrophotometer (K-M) [4] the reverse but equivalent condition exists . The radiant energy is reflected from a diffusing surface of MgO, which is part of an enelosure completely cov­ered with MgO, except for the part containing the bases of the lamps from which the radiant energy originates. Multiple r eflections should give a wall surface of essentially uniform radiance, and any dis­placement of this source in the photometric field by the thick sample should not introduce important error in the r esults.

The principal value of the K-M measurements was to confirm the reliability of the GE data even for the thickest amples. How'ever, the precision of the visual measurements is less than the photoelectric, and except with the rare-earth glass 1.673, only a few check m easurements were made on the K-NI spectrophotometer .

The Beckman quartz photoelectric spectrophotom­eter (model DU) (BQ) [5, 6] is so mewhat susceptible to errors resulting from beam di turbance on inser­tion of the sample, and the thicker the sample the greater may be the error. On this instrument, the

• Figures in brackets indicate the index refcrences at tbe end of this paper.

305

Page 2: Spectral transmissive properties of five selected optical ... · TABLE l. Spect ral t an millance and intemal t1'ansmillance data of five selected optical glasses made at NBS .r or

beam of radiant energy, after passage through the sample, is incident directly on the photocell. Al­though the window of the photocell is made diffusing, this is undoubtedly far from completely so, and any deviation or dispersion of the beam may w"ell affect the response because of varying sensitivity of the photosensitive surface. The principal value of the B eckman spectrophotometer in the present work was to obtain the values of transmittance or internal transmittance in the ultraviolet , and it w"as not used at wavelengths longer than 460 millimicrons (mM).

Consistent with the above, the GE reeording spectrophotometer was used over the range 400 to 1,000 mM, and the Beckman spectrophotometer over the range from 460 mM toward shorter wavelengths into the ultraviolet as far as there was measurable transmission. The transmittance values obtained on the GE spectrophotometer were taken as a reference and the Beckman values adjusted to them when necessary in accordance with the following pro­cedure: 5 (1) The GE transmittance values were uscd from 460 to 1,000 mM, subj ect to an occasional smoothing not exceeding 0.001; (2) from 410 to 460 mM the GE data were used to compute an adjust­men t factor to apply to all of the Beekman data. This adjustment fa&tor was the average of the ratios (TOE/ TB Q ) at each of the SL\': wavelengths from 410 to 460 mM. In this range the adopted values were then based on both the GE data and the adjusted B eck­man data ; (3) from 400 m).! toward shorter wave­lengths the adopted values were based on these adjusted Beckman data.

All the values by the Beckman spectrophotometer were obtained with the samples at 25 0 C.6 Values by the GE spectrophotometer (visible and infrared) were obtained at a room tcmperature close to 25 0 C, and should be valid also at 25° C.

3 . Spectrophotometric Results

Curves of the transmittances for 1-mm thickness for four glasses are shown in figure 1 (numbered 1 to 4) , together with the transmittance curve for the 5-mm thickness of the rare-earth glass 1.673, num­bered 5 in the figure.

Curves for the internal transmittances for 4- anel 100-mm thicknesses of the same four glasses are shown in figure 2, together with the internal trans­mittance curve for the 100-mm thiclmess of the rare­earth glass 1.673.

The values of transmittance and internal trans­mittance are given in table 1. All are subj ect to sligh t uncertainty in the last figure. Examination of the values of T; for 100 mm for the rare-earth glass 1.673 shows traces of the absorption bands near 580 and 740 mM commonly found in didymium glasses.

, 'l'his indicated procedure was followed for 4 of tbe 5 glasses. For rare-eartb glass 1.673, a slight ly d ifferen t procedure was used .

• At the steep portious of tbe curves (fi gs. 1 and 2), the transmittance and internal transmittance vary importantl y with temperature, in tbese cases in tbe ultraviolet region of tbe spectrum [7J.

100

90 C-

80 I-

70 C-

60 C-

". w

'" z .. :: 50 C-

~ .. 0: I-

40 C-I 3 5 '- 4 / ~ /

30 C-

20 C-

10 C-

o » 200

1

I 4 00

1 1

T RANSMITTANCE

I 600

I mm In' 1.517 2 n' 1.574 3 n' 1.620 4 n' 1.649

5 mm 5 n' 1.673

WAVELENGTH Im p

I BOO

-

-

-

-

-

-

-

-

1000

FIGURE 1. Spectml tmnsmittance of five selected optical glasses made at NBS f or the u ltraviolet, visible, and neaT­infmred spectrum.

90

80

.. w 60

'" z ~ I-

" I '" 2\ z 50 ;i I- 3 -' .. 4

~

3' 4 '

f

INTERNAL TRANSMITTANCE 4mm

, n ' 1.517 2 n ' 1.574 3 n' 1.620 4 n ·I.649

100 mm w 40 " n . 1.517

2' n' 1.574 3' n' 1.620 4 ' n' 1.649 .5 n " .673

I-0:

30

20

10

o ~ __ ~~~~ __ ~~ __ -L ____ L-__ ~ ____ ~ __ ---'

200 400 600 800 1000

WAVELENGTH, m ~

FIGURE 2. Spectral i nternal transmittance of five selected optical glasses made at NBS for the ultmviolet, visible, and near-infrared spectrum.

306

Page 3: Spectral transmissive properties of five selected optical ... · TABLE l. Spect ral t an millance and intemal t1'ansmillance data of five selected optical glasses made at NBS .r or

TABLE l. Spectral tran millance and intemal t1'ansmillance data of five selected optical glasses made at NBS .r or the 1'nclicatecl thicknesses and J 01' the wavelength mnge 200 to 1,000 millimicrons

Glass nsc Glass LBG Glass F Gl ass DF Ha rc,c3rth glass n= 1. 517 n= 1.574 n= l.620 n= 1.640 n= 1.673 v=64.5 v=57.7 v=36.2 v=33 .8 v= 56.2

Wave- ------- --------- -------- --- - - ----- --- -- --- ---- - --"------ - --- -irngth Imm 4mm 100 mm I mm 4mm 100 mm Imm 401m 100 mm Imm 4mm 100 mm 5 mm 100 mm

----- ------ - - --------- ----.- _._---- - .---- --- ---- ------------- . . --.--T T ; T ; T 1'; T ; l' 7'j 'Tj 'I' T j '1'; T T j

--- ---- -------- - ----- -. -- --- --- -". --_.- "-"'- ----- "--- ._--- .---------rnJl. 250 0. 000 260 . 002 0. 000 270 . 026 0. 000 .008 280 . 12 .001 . 054 0.000 0.000 290 . 33 . 01 9 . 17 . 003 . COl

300 . 56 .14 .37 . 030 0. 000 0. 000 0. 000 .002 310 . 72 . 39 . 56 . 16 .10 . 002 . 003 0. 000 . 004 320 .813 . 64 0. 000 . 71 . 39 . 46 . 072 . 17 . 003 . 014 330 . 862 . 802 . 004 . 80 . 62 0. 000 .69 . 36 . 51 . 11 . 063 340 . 887 .896 .065 . 8'l7 . 79 . 002 .79 .63 0. 000 . 70 . 39 . 18

350 .900 . 94 5 . 24 . 873 .884 . 046 . 840 . 79 . 003 . 79 . 63 0.000 . 36 360 .907 . 972 . 48 .886 . 939 . 21 . 864 . 885 . 047 .832 . 78 . 002 . 53 0. 000 370 .910 . 982 .63 .893 . 966 . 42 .876 .934 . 18 . 857 . 867 .030 .66 . 004 380 .911 . 981 .61 . 896 .975 .53 . 879 . 949 . 26 . 864 . 905 . 09 .74 . 04 2 390 .913 . 992 . 79 . 899 . 985 .66 . 885 . 974 . 49 .874 . 946 .26 . 795 . 15

4aO . 915 . 996 . 875 . 901 . 992 .80 . 888 .987 .694 . 881 . 971 .• , 0 .82.5 .32 410 .915 .889 . 902 .856 . 890 . 990 . 765 . 882 .981 . 633 . 847 . 47 420 . 916 .889 .902 .869 . S91 . 991 . 794 . 883 . 986 . 705 . 856 . 575 430 . 916 .895 .903 .878 . 892 . 993 . 827 . 884 . 990 . • 75 . 860 .625 440 .916 . 892 .903 . S80 . 892 . 993 . 835 . 885 . 992 . 804 .862 . 645

450 .917 . 9 10 . 904 . 892 .893 .995 . 864 . 887 . 993 .842 .864 . 667 460 .929 . 91 2 . 899 . 900 . 696 470 .936 . 925 . 9H' . 913 . 723 480 . 940 . 932 . 923 . 923 . 748 490 . 944 .938 . 931 .932 . 773

500 . 918 . 949 .905 . 942 . 895 .938 . 889 . 940 . 873 .79·1 510 .9.5.1 . 946 . 947 .948 . Sil 520 .956 .9'18 . 952 . 955 . 826 530 . 957 . 949 . 956 . 959 . 840 540 . 958 .950 . 958 .962 . 852

550 . 919 . 959 . 906 . 952 . 896 . 959 .890 . 964 . 877 .862 560 . 960 . 953 . % 1 . 965 .869 570 .958 .951 . 960 . 965 . 873 580 . 955 . 94 7 . 958 . 96<1 . 874 590 . 952 . 943 .956 .962 . 878 . 600 . 919 . 951 .907 . 941 .897 .955 . 891 . 961 .879 .88.1 tHO . 9;0 . 939 . 953 . 961 . 887 620 .947 . 938 . 95t . 901 90 630 . 945 . 935 .949 . 960 . 893 640 . 944 . 933 . 949 . 960 .895

650 . 920 . 944 . 908 . 932 98 . 949 .892 .961 .881 .898 660 . 946 . 933 . 950 . 962 .901 670 . 951 . 935 . 954 . 966 . 903 680 . 956 . 940 . 959 . 969 .906 690 . 960 . 943 . 962 . 973 . 909

700 .920 . 962 . 908 . 945 . 899 . 965 . 893 . 974 82 .911 710 . 963 . 945 . 966 . 976 . 913 720 . 963 . 944 . 967 . 977 . 916 730 .964 . 942 . 969 . 977 . 917 740 . 964 . 940 . 969 . 976 . 918

750 .92t . 963 . 909 . 938 . 900 . 969 .894 . 976 .882 . 919 760 . 963 . 936 . 969 . 975 . 923 770 . 963 . 934 . 969 . 975 . 924 780 . 962 . 931 . 968 . 974 . 926 790 . 961 . 929 . 968 . 974 . 927

800 .921 . 960 . 909 . 926 .900 . 968 .895 . 973 .882 . 927 810 . 959 .923 . 967 . 972 . 928 820 . 958 . 920 . 966 . 972 . 932 830 .957 . 918 . 966 . 972 . 934 840 . 956 . 916 . 965 . 971 . 936 8liO .922 . 955 . 909 . 913 . 901 . 965 .896 . 971 .88.3 . 937 860 . 954 . 911 .964 . 970 . 939 870 . 953 . 909 . 9C3 . 969 . 940 880 . 952 . 907 . 963 . 968 . 941 890 . 951 . 905 . 962 . 967 . 943 900 .922 . 950 . 909 . 903 . 901 . 962 .896 . 966 .884 . 945 910 .949 . 901 . 96t . 966 . 947 920 . 948 . 900 . 961 .965 . 948 930 .947 .898 . 961 . 965 . 950 940 . 946 . 897 . 960 . 96<1 . 952 950 . 922 . 942 .909 . 895 . 901 . 960 . 896 . 964 .884 . 953 960 . 937 . 891 . 959 . 963 . 954 970 . 936 .890 . 959 . 962 . 956 980 . 938 . 890 . 959 .962 . 957 990 . 940 . 890 .959 . 962 . 958

1000 .922 .941 . 909 .890 .902 . 959 . 896 .962 .885 .960

307

Page 4: Spectral transmissive properties of five selected optical ... · TABLE l. Spect ral t an millance and intemal t1'ansmillance data of five selected optical glasses made at NBS .r or

Values of Ti for 4 mm are no t tabulated above 400 or 450 mIL where the values exceed 0.995. As there is uncertainty of 0.001 or 0.002 in such values, it would be preferable, where the absorption is so light, to compute the valu es of Ti for 4 mm (or for

any other small thickness) from the values of T j for 100 mm than to measure them directly.

The slight error in T j resulting from the multiple reflections through different thicknesses of glass [8] is ignored in these results . For either high or low transmittance the error is of the order of 0.00l. In view of the equal or greater uncertainties indicated above, computation of such corrections was con­sidered unwarranted.

The authors express their appreciation to K. S. Gibson, Chief, NBS Photometry and Colorimetry Section, who coordinated the work of these spectro­photometric measurements and results; to Kenneth L . Kelly for his assistance in the computations; and to John C. Schleter for the preparation of the graphs.

308

4. References [l] A. C. Hardy, History of the design of the recording

spectrophotometer, J . Opt. Soc. Am. 28, 360 (1938). [2] J . L. Michaelson , Construction of the General Electric

recordin g spectrophotometer, J . Opt. Soc. Am. 28, 365 (1938).

[3] K. S. Gibson and H. J. K eegan, Calibration and operation of the General Electric recording spectrophotometer of the National Bureau of Standards, J. Opt. Soc. Am. 28, 372 (1938).

[4] 1-1. J. McNicholas , Equipment for routine spectral transmission and reflection measurements, BS J . Research 1, 793 (1928) RP30.

[5] H . H . Cary and A. O. Beckman, A quartz photoelectric spectrophotometer, J . Opt. Soc. Am. 31, 682 (1941) .

[6] K. S. Gibson and M. M. Balcom, ,rransmission measure­ments on the Beckman quarts spectrophotometer, J. Research NBS 38, 60 1 (1947) RP1798 ; also J. Opt. Soc. Am. 37, 593 (1947) .

[7] K. S. Gibson, Spectrophotometry, NBS Circular 484 (1949). See figures 29 and 30.

[8] T . Smith, Note on measurements of glass absorption Proc. Ph ys. Soc. 58, 473 (1946).

[9J K . S. Gibson , Direct-reading photoelectric measurement of spectral transmission , J. Opt. Soc. Am. and Rev. Sci. Instr. 7, 693 (1923).

WASHINGTON, November 19, 1953.