- •Preface
- •The Author
- •Contributors
- •Table of Contents
- •1.1 Introduction*
- •1.2.1 Isotropic Crystals
- •1.2.2 Uniaxial Crystals
- •1.2.3 Biaxial Crystals
- •1.3.1 Isotropic Crystals
- •1.3.2 Uniaxial Crystals
- •1.3.3 Biaxial Crystals
- •1.3.4 Dispersion Formulas for Refractive Indices
- •1.3.5 Thermooptic Coefficients
- •1.4 Mechanical Properties
- •1.4.1 Elastic Constants
- •1.4.2 Elastic Moduli
- •1.4.3 Engineering Data
- •1.5 Thermal Properties
- •1.5.1 Melting Point, Heat Capacity, Thermal Expansion, and Thermal Conductivity
- •1.5.2 Temperature Dependence of Heat Capacity for Selected Solids
- •1.5.3 Debye Temperature
- •1.6 Magnetooptic Properties
- •1.6.1 Diamagnetic Materials
- •1.6.2 Paramagnetic Materials
- •1.6.3 Ferromagnetic, Antiferromagnetic, and Ferrimagnetic Materials
- •1.7 Electrooptic Properties
- •1.7.1 Linear Electrooptic Coefficients
- •1.7.2 Quadratic Electrooptic Materials
- •1.8 Elastooptic Properties
- •1.8.1 Elastooptic Coefficients
- •1.8.2 Acoustooptic Materials
- •1.9 Nonlinear Optical Properties
- •1.9.1 Nonlinear Refractive Index*
- •1.9.2 Two-Photon Absorption*
- •1.9.3 Second Harmonic Generation Coefficients
- •1.9.4 Third-Order Nonlinear Optical Coefficients
- •1.9.5 Optical Phase Conjugation Materials*
- •2.1 Introduction
- •2.2 Commercial Optical Glasses
- •2.2.1 Optical Properties
- •2.2.3 Mechanical Properties
- •2.2.4 Thermal Properties
- •2.3 Specialty Optical Glasses
- •2.3.1 Optical Properties
- •2.3.2 Mechanical Properties
- •2.3.3 Thermal Properties
- •2.4 Fused (Vitreous) Silica*
- •2.5 Fluoride Glasses
- •2.5.1 Fluorozirconate Glasses
- •2.5.2 Fluorohafnate Glasses
- •2.5.3 Other Fluoride Glasses
- •2.6 Chalcogenide Glasses
- •2.7 Magnetooptic Properties
- •2.7.1 Diamagnetic Glasses
- •2.7.2 Paramagnetic Glasses
- •2.8 Electrooptic Properties
- •2.9 Elastooptic Properties
- •2.10 Nonlinear Optical Properties
- •2.10.1 Nonlinear Refractive Index*
- •2.10.2 Two-Photon Absorption
- •2.10.3 Third-Order Nonlinear Optical Coefficients
- •2.10.4 Brillouin Phase Conjugation
- •2.11 Special Glasses
- •2.11.1 Filter Glasses
- •2.11.2 Laser Glasses
- •2.11.3 Faraday Rotator Glasses
- •2.11.4 Gradient-Index Glasses
- •2.11.5 Mirror Substrate Glasses
- •2.11.6 Athermal Glasses
- •2.11.7 Acoustooptic Glasses
- •2.11.8 Abnormal Dispersion Glass
- •3.1 Optical Plastics
- •3.2 Index of Refraction
- •3.3 Nonlinear Optical Properties
- •3.4 Thermal Properties
- •3.5 Engineering Data
- •4.1 Physical Properties of Selected Metals
- •4.2 Optical Properties
- •4.3 Mechanical Properties
- •4.4 Thermal Properties
- •4.5 Mirror Substrate Materials
- •5.1 Introduction
- •5.2 Water
- •5.2.1 Physical Properties
- •5.2.2 Absorption
- •5.2.3 Index of Refraction
- •5.3 Physical Properties of Selected Liquids
- •5.3.1 Thermal conductivity
- •5.3.2 Viscosity
- •5.3.3 Surface Tension
- •5.3.4 Absorption
- •5.4 Index of Refraction
- •5.4.1 Organic Liquids
- •5.4.2 Inorganic Liquids
- •5.4.3 Calibration Liquids
- •5.4.4 Abnormal Dispersion Liquids
- •5.5 Nonlinear Optical Properties
- •5.5.1 Two-Photon Absorption Cross Sections
- •5.5.2 Nonlinear Refraction
- •5.5.3 Kerr Constants
- •5.5.4 Third-Order Nonlinear Optical Coefficients
- •5.5.5 Stimulated Raman Scattering
- •5.5.6 Stimulated Brillouin Scattering
- •5.6 Magnetooptic Properties
- •5.6.1 Verdet Constants of Inorganic Liquids
- •5.6.2 Verdet Constants of OrganicLiquids
- •5.6.3 Dispersion of the Verdet Constants
- •5.7 Commercial Optical Liquids
- •6.1 Introduction
- •6.2 Physical Properties of Selected Gases
- •6.3 Index of Refraction
- •6.4 Nonlinear Optical Properties
- •6.4.2 Two-Photon Absorption
- •6.5 Magnetooptic Properties
- •6.6 Atomic Resonance Filters
- •Appendices
- •Safe Handling of Optical Materials
- •Fundamental Physical Constants
- •Units and Conversion Factors
6.5 Magnetooptic Properties
|
Verdet Constant V |
(degrees/Tesla meter) of |
Gases at |
273 K |
|
|
||||
|
|
|
|
|
Wavelength (nm) |
|
|
|
||
|
|
3 6 3 . 5 |
4 0 0 |
5 0 0 |
6 0 0 |
7 0 0 |
8 0 0 |
9 0 0 |
9 8 7 . 5 |
|
|
Noble gases |
|
|
|
|
|
|
|
|
|
|
He |
0.0209 |
0.0168 |
0.0106 |
0.0074 |
0.0054 |
0.0041 |
0.0034 |
|
|
|
Ne |
0.0388 |
0.0326 |
0.0204 |
0.0137 |
0.0090 |
0.0064 |
0.0052 |
0.0047 |
|
|
Ar |
0.4106 |
0.3297 |
0.2055 |
0.1403 |
0.1004 |
0.0768 |
0.0610 |
0.0516 |
|
|
Kr |
0.8637 |
0.6820 |
0.4232 |
0.2855 |
0.2040 |
0.1531 |
0.1203 |
0.1004 |
|
|
Xe |
2.1112 |
1.64492 |
1.0055 |
0.6684 |
0.4766 |
0.3567 |
0.2812 |
0.2354 |
|
|
Other gases |
|
|
|
|
|
|
|
|
|
|
H2 |
0.2882 |
0.2308 |
0.1425 |
0.0969 |
0.0690 |
0.0531 |
0.0422 |
0.0351 |
|
|
D2 |
0.2815 |
0.2221 |
0.1375 |
0.0943 |
0.0679 |
0.0522 |
0.0413 |
0.0344 |
|
|
O2 |
0.1948 |
0.1620 |
0.1144 |
0.0886 |
0.0725 |
0.0631 |
0.0568 |
0.0536 |
|
|
N2 |
0.2820 |
0.2268 |
0.1407 |
0.0968 |
0.0698 |
0.0527 |
0.0421 |
0.0359 |
|
|
CO2 |
0.4205 |
0.3391 |
0.2104 |
0.1445 |
0.1044 |
0.0789 |
0.0583 |
0.0536 |
|
|
CH4 |
0.7875 |
0.6246 |
0.3861 |
0.2618 |
0.1881 |
0.1433 |
0.1140 |
0.0953 |
|
References:
Ingersoll, L. R. and Liebenberg, D. H., Faraday effect in gases and vapors. I, J. Opt. Soc. Am. 44, 566 (1954).
Ingersoll, L. R. and Liebenberg, D. H., Faraday effect in gases and vapors. II, J. Opt. Soc. Am. 46, 538 (1956).
6.6 Atomic Resonance Filters
Atomic resonance filters (ARFs) are a class of filter devices that have very narrow bandwidth (~0.001 nm) and a wide field of view (180°). A cell containing atomic vapor (e.g., Rb, Cs, etc.) is placed between two narrow bandpass filters. The input filter has a peak transmission wavelength corresponding to a strong electron transition in the vapor species. Incoming light is then strongly absorbed, yielding an excited state population which decays, emitting photons of a second wavelength. The bandpass of the output filter corresponds to the emitted wavelength. Use of both ground state (passive operation) and excited state (laser-pumped operation) transitions have been reported for a variety of atomic vapors operating at a variety of wavelengths. A detailed review of the physics of ARFs is given by Gelbwachs.1
|
|
|
Atomic Resonance |
Filters |
|
|||
A t o m i c |
|
|
|
Wavelength |
|
|
Pump |
|
s p e c i e s |
|
Input |
Output |
|
source |
R e f . |
||
Na |
1480 |
nm |
489 |
nm |
|
optical |
2 |
|
|
2340 |
nm |
569 |
nm |
|
optical |
2 |
|
|
3420 |
nm |
616 |
nm |
|
optical |
2 |
|
K |
|
~10.6 µm |
497 |
nm |
|
optical |
3 |
|
Rb |
20,487–776 nm |
420 nm |
|
diode laser |
1 |
|||
|
|
459 nm |
894 nm |
|
none |
4 |
||
© 2003 by CRC Press LLC
|
Atomic |
Resonance Filters—continued |
|
|||
A t o m i c |
|
|
Wavelength |
|
Pump |
|
s p e c i e s |
Input |
Output |
source |
R e f . |
||
Csa |
456 nm |
852 nm |
none |
4 |
||
|
534 |
nm |
404 |
nm |
diode laser |
5 |
Tl |
535 |
nm |
378 |
nm |
photochemical |
6 |
Mg |
518 nm |
384 nm |
Nd:YAG |
7 |
||
Caa |
423 |
nm |
272 |
nm |
diode laser |
8 |
a Not experimentally verified.
An alternative atomic resonance filter design is the Faraday anomalous dispersion optical filter (FADOF).2,3 An atomic vapor cell is placed in a magnetic field between crossed polarizers. The resonant Faraday effect causes polarization rotation at frequencies corresponding to atomic transitions. At other frequencies rotation is negligible. Thus, by proper adjustment of atomic vapor concentration, cell length, and magnetic field strength, ultranarrow-linewidth bandpass filters may be produced. FADOFs do not shift the output wavelength, and no reponse delay occurs. In principle, transmission is near unity at the center of the filter bandpass for linearly polarized incident light.
|
Atomic Faraday |
Filter |
Data |
|
|
|
|
Atomic |
Operating |
Peak |
|
Bandwidth |
Rejection |
|
|
s p e c i e s |
wavelength ( n m ) |
transmission |
(%) |
(GHz) |
ratio |
R e f . |
|
K |
766, 770 |
71 |
|
1.6 |
105 |
9 |
|
Rb |
780 |
63 |
|
1.0 |
9 |
|
|
Cs |
852 |
82 |
|
0.6 |
105 |
10 |
|
The above table is from Cook, L. M., Filter materials, Handbook of Laser Science and Technology, Suppl. 2: Optical Materials (CRC Press, Boca Raton, FL, 1995), p. 115 (with additions).
References:
1.Gelbwachs, J., Atomic resonance filters, IEEE J. Quantum Electron. 24, 1266 (1988).
2.Gelbwachs, J., Klein, C., and Wessel, J., Infrared detection by an atomic vapor quantum counter, IEEE J. Quantum Electron. QE-14, 77 (1978).
3.Gelbwachs, J., and Wessel, J., Atomic vapor quantum counter: narrow-band infrared upconverter, IEEE Trans. Electron. Dev. ED-27, 99 (1980).
4.Marling, J., Nilsen, J., West, L., and Wood, L., An ultrahigh Q isotropically sensitive optical filter employing atomic resonance transitions, J. Appl. Phys. 50, 610 (1979).
5. Shay, T., Ultrahigh-resolution, wide-field-of-view Cs optical filter for doubled Nd lasers, Opt. Commun. 77, 368 (1990).
6.Liu, C., Chantry, P., and Chen, C., A 535 nm active atomic line filter employing the thallium metastable state as the absorbing medium, SPIE Proc. 709, 132 (1986).
7.Chan, Y., Tabat, M., and Gelbwachs, J., Experimental demonstration of internal wavelength conversion in the magnesium atomic filter, Opt. Lett. 14, 722 (1989).
8.Gelbwachs, J., 422.7-nm atomic filter with superior solar background rejection, Opt. Lett. 15, 236 (1990).
9.Zhang, Y., Jia, X., Ma, Z., and Wang, Q., Potassium Faraday optical filter in line-center operation, Opt. Commun. 194, 147 (2001).
10.Dick, D., and Shay, T., Ultrahigh-noise rejection optical filter, Opt. Lett. 16, 867 (1991).
11.Menders, J., Benson, K., Bloom, S., Liu, C., and Korevaar, E., Ultranarrow line filtering using a Cs Faraday filter at 852 nm, Opt. Lett. 16, 846 (1991).
©2003 by CRC Press LLC
