Anomalous Dispersion of Birefringence of Sapphire and Magnesium Fluoride in the Vacuum Ultraviolet

V. Chandrasekharan; H. Damany

doi:10.1364/AO.8.000671

Applied Optics
Vol. 8,
Issue 3,
pp. 671-675
(1969)
•https://doi.org/10.1364/AO.8.000671

Anomalous Dispersion of Birefringence of Sapphire and Magnesium Fluoride in the Vacuum Ultraviolet

V. Chandrasekharan and H. Damany

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
V. Chandrasekharan and H. Damany, "Anomalous Dispersion of Birefringence of Sapphire and Magnesium Fluoride in the Vacuum Ultraviolet," Appl. Opt. 8, 671-675 (1969)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

Previous measurements of the birefringence of sapphire and magnesium fluoride have been extended to their respective limits of transparency, revealing anomalous dispersion effects at short wavelengths, which are qualitatively discussed. Possible practical applications to Lyot filters and quarter-wave plates for Lyman-alpha are indicated.

Full Article | PDF Article

More Like This

Birefringence of Sapphire, Magnesium Fluoride, and Quartz in the Vacuum Ultraviolet, and Retardation Plates

V. Chandrasekharan and H. Damany
Appl. Opt. 7(5) 939-941 (1968)

Birefringence of magnesium fluoride in the vacuum ultraviolet and application to a half-waveplate

Ryohko Ishikawa, Ryouhei Kano, Takamasa Bando, Yoshinori Suematsu, Shin-nosuke Ishikawa, Masahito Kubo, Noriyuki Narukage, Hirohisa Hara, Saku Tsuneta, Hiroko Watanabe, Kiyoshi Ichimoto, Kunichika Aoki, and Kenta Miyagawa
Appl. Opt. 52(34) 8205-8211 (2013)

Variability in the vacuum-ultraviolet transmittance of magnesium fluoride windows

Howard Herzig, Charles M. Fleetwood, and Albert R. Toft
Appl. Opt. 31(1) 110-114 (1992)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (3)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (3)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (3)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

M	λ (Å)	−(n_o − n_e) ×10³	M/t (mm⁻¹)	M	λ (Å)	−(n_o − n_e) ×10³	M/t (mm⁻¹)
Thickness t = 2.603 mm

170	1825.4	11.92₂	65.30₉	191	1710.3	12.55₀	73.37₇
171	1819.3	11.95₂	65.69₃	192	1705.1	12.57₇	73.76₁
172	1813.4	11.98₃	66.07₈	193	1700.1	12.60₅	74.14₅
173	1807.5	12.01₃	66.46₂	194	1695.0	12.63₃	74.52₉
174	1801.6	12.04₃	66.84₆	195	1689.9	12.66₀	74.91₄
175	1795.9	12.07₄	67.23₀	196	1684.9	12.68₇	75.29₈
176	1790.1	12.10₄	67.61₄	197	1679.6	12.71₂	75.68₂
177	1784.6	12.13₇	67.98₈	198	1674.5	12.73₇	76.06₆
178	1779.0	12.16₅	68.38₃	199	1669.4	12.76₃	76.45₀
179	1773.5	12.19₆	68.76₇	200	1664.3	12.78₇	76.83₄
180	1768.1	12.22₇	69.15₁	201	1659.0	12.81₁	77.21₉
181	1762.8	12.25₈	69.53₅	202	1653.7	12.83₃	77.60₃
182	1757.4	12.28₈	69.92₀	203	1648.6	12.85₇	77.98₇
183	1752.0	12.31₇	70.30₃	204	1643.2	12.87₈	78.37₁
184	1746.7	12.34₇	70.68₈	205	1637.8	12.89₉	78.75₅
185	1741.3	12.37₆	71.07₂	206	1632.5	12.92₀	79.13₉
186	1736.2	12.40₆	71.45₆	207	1626.9	12.93₈	79.52₄
187	1731.0	12.43₆	71.84₀	208	1621.6	12.95₈	79.90₈
188	1725.9	12.46₅	72.22₄	209	1615.3	12.96₉	80.29₂
189	1720.7	12.49₄	72.60₈	210	1609.1	12.98₂	80.67₆
190	1715.3	12.52₀	72.99₃	211	1602.8	12.99₂	81.06₀

212	1595.7	12.99₆	81.44₄	206	1502.3	11.88₉	79.13₉
213	1588.0	12.99₄	81.82₉	205	1500.2	11.81₁	78.75₅
214	1579.2	12.98₃	82.21₃	204	1498.4	11.74₃	78.37₁
215	1566.9	12.94₂	82.59₇	203	1496.7	11.67₂	77.98₇
215	1537.0	12.69₈	82.69₇	202	1495.1	11.60₃	77.60₃
214	1528.8	12.56₉	82.21₃	201	1493.5	11.53₃	77.21₉
213	1523.3	12.46₅	81.82₉	200	1492.1	11.46₄	76.83₄
212	1518.8	12.37₀	81.44₄	199	1490.8	11.39₇	76.45₀
211	1515.2	12.28₂	81.06₀	198	1489.4	11.32₉	76.06₆
210	1512.1	12.19₉	80.67₆	197	1488.2	11.26₃	75.68₂
209	1509.1	12.11₇	80.29₂	196	1487.0	11.19₈	75.29₈
208	1506.8	12.04₀	79.90₈	195	1485.7	11.13₀	74.91₄
207	1504.4	11.96₃	79.52₄	194	1484.7	11.06₅	74.52₉
				193	1483.6	11.00₈	74.14₅

Thickness t = 0.1035 mm

8	1657.5	12.81₂	77.29₅	5	1448.8	7.00₀	48.30₉
8	1496.3	11.56₆	77.29₅	4	1441.8	5.57₂	38.64₇
7	1470.9	9.94₈	67.63₃	3	1436.7	4.16₄	28.98₅
6	1456.1	8.44₁	57.97₁	2	1432.7	2.76₈	19.32₄
				1	1429.0	1.38₁	9.66₂

M	λ (Å)	(n_o − n_e) ×10³	M/t (mm⁻¹)	M	λ (Å)	(n_o − n_e) ×10³	M/t (mm⁻¹)
Thickness t = 0.493 mm

39	1759.0	13.91₅	79.10₇	32	1243.6	8.07₂	64.90₉
40	1724.3	13.99₀	81.13₆	31	1240.9	7.80₃	62.88₀
41	1690.6	14.06₀	83.16₄	30	1238.4	7.53₆	60.85₂
42	1657.8	14.12₃	85.19₃	29	1235.0	7.26₅	58.82₃
43	1626.0	14.18₂	87.22₁	28	1233.8	7.00₇	56.79₅
44	1594.0	14.22₆	89.24₉	27	1231.5	6.74₄	54.76₇
45	1561.9	14.25₇	91.27₈	26	1229.5	6.48₄	52.73₈
46	1529.5	14.27₁	93.30₆	25	1227.7	6.22₆	50.71₀
47	1494.6	14.24₉	95.33₅	24	1225.6	5.96₆	48.68₁
48	1453.2	14.14₉	97.36₃	23	1223.8	5.70₉	46.65₃
48	1350.5	13.14₉	97.36₃	22	1222.1	5.45₄	44.62₅
47	1322.8	12.61₁	95.33₅	21	1220.2	5.20₀	42.59₆
46	1315.5	12.27₄	93.30₆	20	1218.7	4.94₄	40.56₈
45	1305.9	11.91₂	91.27₈	19	1217.2	4.69₁	38.53₉
44	1297.1	11.57₇	89.24₉	18	1216.0	4.44₀	36.51₁
43	1289.3	11.24₅	87.22₁	17	1214.4	4.18₈	34.48₃
42	1282.6	10.92₇	85.19₃	16	1213.2	3.93₇	32.45₄
41	1277.2	10.62₂	83.16₄	15	1212.0	3.68₈	30.42₆
40	1272.2	10.32₂	81.13₆	14	1210.0	3.43₆	28.39₈
39	1267.4	10.02₆	79.10₇	13	1208.7	3.18₇	26.36₉
38	1263.4	9.73₈	77.07₉	12	1207.3	2.93₉	24.34₁
37	1259.5	9.45₃	75.05₁	11	1205.9	2.69₁	22.31₂
36	1255.8	9.17₀	73.02₂	10	1205.0	2.44₂	20.28₄
35	1252.4	8.89₁	70.99₄	9	1203.7	2.19₇	18.25₆
34	1249.3	8.61₆	68.96₅	8	1202.8	1.95₂	16.22₇
33	1246.3	8.34₂	66.93₇

Thickness t = 0.093 mm

8	1648.0	14.14₆	85.83₇	−3	1182.1	−3.80₅	32.18₉
9	1472.0	14.21₅	96.56₆	−4	1178.2	−5.05₇	42.91₈
9	1342.3	12.96₂	96.56₆	−5	1175.2	−6.30₅	53.64₈
8	1286.1	11.03₉	85.83₇	−6	1171.9	−7.54₄	64.37₈
7	1261.3	9.47₄	75.10₇	−7	1169.3	−8.78₂	75.10₇
6	1244.7	8.01₃	64.37₈	−8	1166.9	−10.01₆	85.83₇
5	1231.8	6.60₉	53.64₈	−9	1164.4	−11.24₄	96.56₆
4	1221.5	5.24₂	42.91₈	−10	1161.9	−12.46₇	107.2₉
3	1213.5	3.90₇	32.18₉	−11	1159.5	−13.68₅	118.0₃
2	1205.8	2.58₈	21.45₉	−12	1157.5	−14.90₃	128.7₉
1	1200.1	1.28₈	10.73₀	−13	1155.8	−16.12₂	139.4₈
0	1194.9	0	0	−14	1153.6	−17.32₉	150.2₁
−1	1190.1	1.27₇	10.73₀	−15	1152.1	−18.54₂	160.9₄
−2	1185.6	−2.544	21.45₉	−16	1150.2	−19.74₆	171.6₇
				−17	1148.6	−20.95₁	182.4₀

Crystal	λ_f (Å)	(Δn)_max	λ_g (Å)	(Δn/λ)_max	λ₀ (Å)
MgF₂	1530 ± 20	14.30 × 10⁻³	1391 ± 10	98.8	1194 ± 1
Sapphire	1595 ± 5	13.00 × 10⁻³	1554 ± 5	82.8	1426 ± 1

M	λ (Å)	−(n_o − n_e) ×10³	M/t (mm⁻¹)	M	λ (Å)	−(n_o − n_e) ×10³	M/t (mm⁻¹)
Thickness t = 2.603 mm

170	1825.4	11.92₂	65.30₉	191	1710.3	12.55₀	73.37₇
171	1819.3	11.95₂	65.69₃	192	1705.1	12.57₇	73.76₁
172	1813.4	11.98₃	66.07₈	193	1700.1	12.60₅	74.14₅
173	1807.5	12.01₃	66.46₂	194	1695.0	12.63₃	74.52₉
174	1801.6	12.04₃	66.84₆	195	1689.9	12.66₀	74.91₄
175	1795.9	12.07₄	67.23₀	196	1684.9	12.68₇	75.29₈
176	1790.1	12.10₄	67.61₄	197	1679.6	12.71₂	75.68₂
177	1784.6	12.13₇	67.98₈	198	1674.5	12.73₇	76.06₆
178	1779.0	12.16₅	68.38₃	199	1669.4	12.76₃	76.45₀
179	1773.5	12.19₆	68.76₇	200	1664.3	12.78₇	76.83₄
180	1768.1	12.22₇	69.15₁	201	1659.0	12.81₁	77.21₉
181	1762.8	12.25₈	69.53₅	202	1653.7	12.83₃	77.60₃
182	1757.4	12.28₈	69.92₀	203	1648.6	12.85₇	77.98₇
183	1752.0	12.31₇	70.30₃	204	1643.2	12.87₈	78.37₁
184	1746.7	12.34₇	70.68₈	205	1637.8	12.89₉	78.75₅
185	1741.3	12.37₆	71.07₂	206	1632.5	12.92₀	79.13₉
186	1736.2	12.40₆	71.45₆	207	1626.9	12.93₈	79.52₄
187	1731.0	12.43₆	71.84₀	208	1621.6	12.95₈	79.90₈
188	1725.9	12.46₅	72.22₄	209	1615.3	12.96₉	80.29₂
189	1720.7	12.49₄	72.60₈	210	1609.1	12.98₂	80.67₆
190	1715.3	12.52₀	72.99₃	211	1602.8	12.99₂	81.06₀

212	1595.7	12.99₆	81.44₄	206	1502.3	11.88₉	79.13₉
213	1588.0	12.99₄	81.82₉	205	1500.2	11.81₁	78.75₅
214	1579.2	12.98₃	82.21₃	204	1498.4	11.74₃	78.37₁
215	1566.9	12.94₂	82.59₇	203	1496.7	11.67₂	77.98₇
215	1537.0	12.69₈	82.69₇	202	1495.1	11.60₃	77.60₃
214	1528.8	12.56₉	82.21₃	201	1493.5	11.53₃	77.21₉
213	1523.3	12.46₅	81.82₉	200	1492.1	11.46₄	76.83₄
212	1518.8	12.37₀	81.44₄	199	1490.8	11.39₇	76.45₀
211	1515.2	12.28₂	81.06₀	198	1489.4	11.32₉	76.06₆
210	1512.1	12.19₉	80.67₆	197	1488.2	11.26₃	75.68₂
209	1509.1	12.11₇	80.29₂	196	1487.0	11.19₈	75.29₈
208	1506.8	12.04₀	79.90₈	195	1485.7	11.13₀	74.91₄
207	1504.4	11.96₃	79.52₄	194	1484.7	11.06₅	74.52₉
				193	1483.6	11.00₈	74.14₅

Thickness t = 0.1035 mm

8	1657.5	12.81₂	77.29₅	5	1448.8	7.00₀	48.30₉
8	1496.3	11.56₆	77.29₅	4	1441.8	5.57₂	38.64₇
7	1470.9	9.94₈	67.63₃	3	1436.7	4.16₄	28.98₅
6	1456.1	8.44₁	57.97₁	2	1432.7	2.76₈	19.32₄
				1	1429.0	1.38₁	9.66₂

M	λ (Å)	(n_o − n_e) ×10³	M/t (mm⁻¹)	M	λ (Å)	(n_o − n_e) ×10³	M/t (mm⁻¹)
Thickness t = 0.493 mm

39	1759.0	13.91₅	79.10₇	32	1243.6	8.07₂	64.90₉
40	1724.3	13.99₀	81.13₆	31	1240.9	7.80₃	62.88₀
41	1690.6	14.06₀	83.16₄	30	1238.4	7.53₆	60.85₂
42	1657.8	14.12₃	85.19₃	29	1235.0	7.26₅	58.82₃
43	1626.0	14.18₂	87.22₁	28	1233.8	7.00₇	56.79₅
44	1594.0	14.22₆	89.24₉	27	1231.5	6.74₄	54.76₇
45	1561.9	14.25₇	91.27₈	26	1229.5	6.48₄	52.73₈
46	1529.5	14.27₁	93.30₆	25	1227.7	6.22₆	50.71₀
47	1494.6	14.24₉	95.33₅	24	1225.6	5.96₆	48.68₁
48	1453.2	14.14₉	97.36₃	23	1223.8	5.70₉	46.65₃
48	1350.5	13.14₉	97.36₃	22	1222.1	5.45₄	44.62₅
47	1322.8	12.61₁	95.33₅	21	1220.2	5.20₀	42.59₆
46	1315.5	12.27₄	93.30₆	20	1218.7	4.94₄	40.56₈
45	1305.9	11.91₂	91.27₈	19	1217.2	4.69₁	38.53₉
44	1297.1	11.57₇	89.24₉	18	1216.0	4.44₀	36.51₁
43	1289.3	11.24₅	87.22₁	17	1214.4	4.18₈	34.48₃
42	1282.6	10.92₇	85.19₃	16	1213.2	3.93₇	32.45₄
41	1277.2	10.62₂	83.16₄	15	1212.0	3.68₈	30.42₆
40	1272.2	10.32₂	81.13₆	14	1210.0	3.43₆	28.39₈
39	1267.4	10.02₆	79.10₇	13	1208.7	3.18₇	26.36₉
38	1263.4	9.73₈	77.07₉	12	1207.3	2.93₉	24.34₁
37	1259.5	9.45₃	75.05₁	11	1205.9	2.69₁	22.31₂
36	1255.8	9.17₀	73.02₂	10	1205.0	2.44₂	20.28₄
35	1252.4	8.89₁	70.99₄	9	1203.7	2.19₇	18.25₆
34	1249.3	8.61₆	68.96₅	8	1202.8	1.95₂	16.22₇
33	1246.3	8.34₂	66.93₇

Thickness t = 0.093 mm

8	1648.0	14.14₆	85.83₇	−3	1182.1	−3.80₅	32.18₉
9	1472.0	14.21₅	96.56₆	−4	1178.2	−5.05₇	42.91₈
9	1342.3	12.96₂	96.56₆	−5	1175.2	−6.30₅	53.64₈
8	1286.1	11.03₉	85.83₇	−6	1171.9	−7.54₄	64.37₈
7	1261.3	9.47₄	75.10₇	−7	1169.3	−8.78₂	75.10₇
6	1244.7	8.01₃	64.37₈	−8	1166.9	−10.01₆	85.83₇
5	1231.8	6.60₉	53.64₈	−9	1164.4	−11.24₄	96.56₆
4	1221.5	5.24₂	42.91₈	−10	1161.9	−12.46₇	107.2₉
3	1213.5	3.90₇	32.18₉	−11	1159.5	−13.68₅	118.0₃
2	1205.8	2.58₈	21.45₉	−12	1157.5	−14.90₃	128.7₉
1	1200.1	1.28₈	10.73₀	−13	1155.8	−16.12₂	139.4₈
0	1194.9	0	0	−14	1153.6	−17.32₉	150.2₁
−1	1190.1	1.27₇	10.73₀	−15	1152.1	−18.54₂	160.9₄
−2	1185.6	−2.544	21.45₉	−16	1150.2	−19.74₆	171.6₇
				−17	1148.6	−20.95₁	182.4₀

Abstract

Cited By

Figures (3)

Tables (3)

Equations (3)

Applied Optics