|
|
Polarized multispectral imaging in a rigid endoscope based on elastic light scattering spectroscopy |
Biomedical Optics Express, Vol. 3, Issue 9, pp. 2087-2099 (2012)
http://dx.doi.org/10.1364/BOE.3.002087
Acrobat PDF (2329 KB)
Abstract
Elastic light scattering spectroscopy (LSS) is widely utilized to investigate cellular structures in cultured cells and various tissues. However, few imaging systems, especially endoscopic imaging systems, can implement LSS. It is the aim of this work to create a polarized multispectral imaging system based around a rigid endoscope to detect micrometer sized particles using LSS. The instrument first validated with different sized mono-disperse polystyrene microspheres, then an image is reconstructed based on LSS which shows the differentiation of different sized microspheres. Finally a preliminary experiment is conducted to demonstrate its capability to discriminate different types of cells.
© 2012 OSA
1. Introduction
R. H. Riddell, H. Goldman, D. F. Ransohoff, H. D. Appelman, C. M. Fenoglio, R. C. Haggitt, C. hren, P. Correa, S. R. Hamilton, B. C. Morson, S. C. Sommers, and J. H. Yardley, “Dysplasia in inflammatory bowel disease: standardized classification with provisional clinical applications,” Hum. Pathol. 14(11), 931–968 (1983). [CrossRef] [PubMed]
L. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. Crawford, and M. Feld, “Observation of periodic fine structure in reflectance from biological tissue: a new technique for measuring nuclear size distribution,” Phys. Rev. Lett. 80(3), 627–630 (1998). [CrossRef]
L. T. Perelman, G. Zonios, V. Backman, R. Gurjar, I. Itzkan, R. R. Dasari, J. Van Dam, and M. S. Feld, “Quantitative analysis of mucosal tissues in patients using light scattering spectroscopy,” Proc. SPIE 3597, 474–479 (1999). [CrossRef]
C. S. Mulvey, A. L. Curtis, S. K. Singh, and I. J. Bigio, “Elastic scattering spectroscopy as a diagnostic tool for apoptosis in cell cultures,” IEEE J. Sel. Top. Quantum Electron. 13(6), 1663–1670 (2007). [CrossRef]
H. Fang, M. Ollero, E. Vitkin, L. M. Kimerer, P. Cipolloni, M. M. Zaman, S. D. Freedman, I. J. Bigio, I. Itzkan, E. B. Hanlon, and L. T. Perelman, “Noninvasive sizing of subcellular organelles with light scattering spectroscopy,” IEEE J. Sel. Top. Quantum Electron. 9(2), 267–276 (2003). [CrossRef]
L. Qiu, D. K. Pleskow, R. Chuttani, E. Vitkin, J. Leyden, N. Ozden, S. Itani, L. Guo, A. Sacks, J. D. Goldsmith, M. D. Modell, E. B. Hanlon, I. Itzkan, and L. T. Perelman, “Multispectral scanning during endoscopy guides biopsy of dysplasia in Barrett’s esophagus,” Nat. Med. 16(5), 603–606, 1p, 606 (2010). [CrossRef] [PubMed]
I. J. Bigio, S. G. Bown, G. Briggs, C. Kelley, S. Lakhani, D. Pickard, P. M. Ripley, I. G. Rose, and C. Saunders, “Diagnosis of breast cancer using elastic-scattering spectroscopy: preliminary clinical results,” J. Biomed. Opt. 5(2), 221–228 (2000). [CrossRef] [PubMed]
H. Suh, O. A’amar, E. Rodriguez-Diaz, S. Lee, I. Bigio, and J. E. Rosen, “Elastic light-scattering spectroscopy for discrimination of benign from malignant disease in thyroid nodules,” Ann. Surg. Oncol. 18(5), 1300–1305 (2011). [CrossRef] [PubMed]
V. Backman, R. Gurjar, K. Badizadegan, I. Itzkan, R. R. Dasari, L. T. Perelman, and M. S. Feld, “Polarized light scattering spectroscopy for quantitative measurement of epithelial cellular structures in situ,” IEEE J. Sel. Top. Quantum Electron. 5(4), 1019–1026 (1999). [CrossRef]
C. S. Mulvey, K. Zhang, W. H. B. Liu, D. J. Waxman, and I. J. Bigio, “Wavelength-dependent backscattering measurements for quantitative monitoring of apoptosis, part 1: early and late spectral changes are indicative of the presence of apoptosis in cell cultures,” J. Biomed. Opt. 16(11), 117001 (2011). [CrossRef] [PubMed]
C. S. Mulvey, K. Zhang, W. H. Bobby Liu, D. J. Waxman, and I. J. Bigio, “Wavelength-dependent backscattering measurements for quantitative monitoring of apoptosis, part 2: early spectral changes during apoptosis are linked to apoptotic volume decrease,” J. Biomed. Opt. 16(11), 117002 (2011). [CrossRef] [PubMed]
K. Sokolov, R. Drezek, K. Gossage, and R. Richards-Kortum, “Reflectance spectroscopy with polarized light: is it sensitive to cellular and nuclear morphology,” Opt. Express 5(13), 302–317 (1999). [CrossRef] [PubMed]
V. Backman, R. Gurjar, L. T. Perelman, V. Gopal, M. Kalashnikov, K. Badizadegan, A. Wax, I. Georgakoudi, M. Mueller, and C. W. Boone, “Imaging and measurement of cell structure and organization with submicron accuracy using light scattering spectroscopy,” Proc. SPIE 4617, 101–110 (2002). [CrossRef]
R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med. 7(11), 1245–1248 (2001). [CrossRef] [PubMed]
2. Methods
2.1. Feasibility analysis for polarization detection through a rigid endoscope
T. C. Wood and D. S. Elson, “Polarization response measurement and simulation of rigid endoscopes,” Biomed. Opt. Express 1(2), 463–470 (2010). [CrossRef] [PubMed]
T. C. Wood and D. S. Elson, “Polarization response measurement and simulation of rigid endoscopes,” Biomed. Opt. Express 1(2), 463–470 (2010). [CrossRef] [PubMed]
2.2. System setup
2.3. Modeling the endoscopic multispectral signal
V. Backman, R. Gurjar, K. Badizadegan, I. Itzkan, R. R. Dasari, L. T. Perelman, and M. S. Feld, “Polarized light scattering spectroscopy for quantitative measurement of epithelial cellular structures in situ,” IEEE J. Sel. Top. Quantum Electron. 5(4), 1019–1026 (1999). [CrossRef]
V. Backman, R. Gurjar, K. Badizadegan, I. Itzkan, R. R. Dasari, L. T. Perelman, and M. S. Feld, “Polarized light scattering spectroscopy for quantitative measurement of epithelial cellular structures in situ,” IEEE J. Sel. Top. Quantum Electron. 5(4), 1019–1026 (1999). [CrossRef]
2.4. Sample preparation
3. Results and Discussion
3.1. System validation with known size mono-disperse polystyrene microspheres
3.2. Image reconstruction
3.3. Preliminary cell experiment
K. Sokolov, R. Drezek, K. Gossage, and R. Richards-Kortum, “Reflectance spectroscopy with polarized light: is it sensitive to cellular and nuclear morphology,” Opt. Express 5(13), 302–317 (1999). [CrossRef] [PubMed]
V. Backman, R. Gurjar, K. Badizadegan, I. Itzkan, R. R. Dasari, L. T. Perelman, and M. S. Feld, “Polarized light scattering spectroscopy for quantitative measurement of epithelial cellular structures in situ,” IEEE J. Sel. Top. Quantum Electron. 5(4), 1019–1026 (1999). [CrossRef]
4. Conclusion
Acknowledgments
References and links
D. G. Ferris, Modern Colposcopy: Textbook and Atlas (Kendall Hunt, 2004). | |
R. H. Riddell, H. Goldman, D. F. Ransohoff, H. D. Appelman, C. M. Fenoglio, R. C. Haggitt, C. hren, P. Correa, S. R. Hamilton, B. C. Morson, S. C. Sommers, and J. H. Yardley, “Dysplasia in inflammatory bowel disease: standardized classification with provisional clinical applications,” Hum. Pathol. 14(11), 931–968 (1983). [CrossRef] [PubMed] | |
L. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. Crawford, and M. Feld, “Observation of periodic fine structure in reflectance from biological tissue: a new technique for measuring nuclear size distribution,” Phys. Rev. Lett. 80(3), 627–630 (1998). [CrossRef] | |
V. Backman, R. Gurjar, K. Badizadegan, I. Itzkan, R. R. Dasari, L. T. Perelman, and M. S. Feld, “Polarized light scattering spectroscopy for quantitative measurement of epithelial cellular structures in situ,” IEEE J. Sel. Top. Quantum Electron. 5(4), 1019–1026 (1999). [CrossRef] | |
L. Qiu, D. K. Pleskow, R. Chuttani, E. Vitkin, J. Leyden, N. Ozden, S. Itani, L. Guo, A. Sacks, J. D. Goldsmith, M. D. Modell, E. B. Hanlon, I. Itzkan, and L. T. Perelman, “Multispectral scanning during endoscopy guides biopsy of dysplasia in Barrett’s esophagus,” Nat. Med. 16(5), 603–606, 1p, 606 (2010). [CrossRef] [PubMed] | |
L. T. Perelman, G. Zonios, V. Backman, R. Gurjar, I. Itzkan, R. R. Dasari, J. Van Dam, and M. S. Feld, “Quantitative analysis of mucosal tissues in patients using light scattering spectroscopy,” Proc. SPIE 3597, 474–479 (1999). [CrossRef] | |
C. S. Mulvey, A. L. Curtis, S. K. Singh, and I. J. Bigio, “Elastic scattering spectroscopy as a diagnostic tool for apoptosis in cell cultures,” IEEE J. Sel. Top. Quantum Electron. 13(6), 1663–1670 (2007). [CrossRef] | |
T. T. Wu and J. Y. Qu, “Assessment of the relative contribution of cellular components to the acetowhitening effect in cell cultures and suspensions using elastic light-scattering spectroscopy,” Appl. Opt. 46(21), 4834–4842 (2007). [CrossRef] [PubMed] | |
C. S. Mulvey, K. Zhang, W. H. B. Liu, D. J. Waxman, and I. J. Bigio, “Wavelength-dependent backscattering measurements for quantitative monitoring of apoptosis, part 1: early and late spectral changes are indicative of the presence of apoptosis in cell cultures,” J. Biomed. Opt. 16(11), 117001 (2011). [CrossRef] [PubMed] | |
C. S. Mulvey, K. Zhang, W. H. Bobby Liu, D. J. Waxman, and I. J. Bigio, “Wavelength-dependent backscattering measurements for quantitative monitoring of apoptosis, part 2: early spectral changes during apoptosis are linked to apoptotic volume decrease,” J. Biomed. Opt. 16(11), 117002 (2011). [CrossRef] [PubMed] | |
J. R. Mourant, J. P. Freyer, A. H. Hielscher, A. A. Eick, D. Shen, and T. M. Johnson, “Mechanisms of light scattering from biological cells relevant to noninvasive optical-tissue diagnostics,” Appl. Opt. 37(16), 3586–3593 (1998). [CrossRef] [PubMed] | |
O. C. Marina, C. K. Sanders, and J. R. Mourant, “Correlating light scattering with internal cellular structures,” Biomed. Opt. Express 3(2), 296–312 (2012). [CrossRef] [PubMed] | |
H. Fang, M. Ollero, E. Vitkin, L. M. Kimerer, P. Cipolloni, M. M. Zaman, S. D. Freedman, I. J. Bigio, I. Itzkan, E. B. Hanlon, and L. T. Perelman, “Noninvasive sizing of subcellular organelles with light scattering spectroscopy,” IEEE J. Sel. Top. Quantum Electron. 9(2), 267–276 (2003). [CrossRef] | |
I. J. Bigio, S. G. Bown, G. Briggs, C. Kelley, S. Lakhani, D. Pickard, P. M. Ripley, I. G. Rose, and C. Saunders, “Diagnosis of breast cancer using elastic-scattering spectroscopy: preliminary clinical results,” J. Biomed. Opt. 5(2), 221–228 (2000). [CrossRef] [PubMed] | |
K. S. Johnson, D. W. Chicken, D. C. O. Pickard, A. C. Lee, G. Briggs, M. Falzon, I. J. Bigio, M. R. Keshtgar, and S. G. Bown, “Elastic scattering spectroscopy for intraoperative determination of sentinel lymph node status in the breast,” J. Biomed. Opt. 9(6), 1122–1128 (2004). [CrossRef] [PubMed] | |
J. R. Mourant, T. M. Powers, T. J. Bocklage, H. M. Greene, M. H. Dorin, A. G. Waxman, M. M. Zsemlye, and H. O. Smith, “In vivo light scattering for the detection of cancerous and precancerous lesions of the cervix,” Appl. Opt. 48(10), D26–D35 (2009). [CrossRef] [PubMed] | |
H. Suh, O. A’amar, E. Rodriguez-Diaz, S. Lee, I. Bigio, and J. E. Rosen, “Elastic light-scattering spectroscopy for discrimination of benign from malignant disease in thyroid nodules,” Ann. Surg. Oncol. 18(5), 1300–1305 (2011). [CrossRef] [PubMed] | |
L. Qiu, V. Turzhitsky, E. Vitkin, L. Guo, E. Hanlon, I. Itzkan, and L. T. Perelman, “Coherent confocal light absorption and scattering spectroscopic microscopy,” in Biomedical Optics, OSA Technical Digest (Optical Society of America, 2012), paper BSu4B.3. | |
K. Sokolov, R. Drezek, K. Gossage, and R. Richards-Kortum, “Reflectance spectroscopy with polarized light: is it sensitive to cellular and nuclear morphology,” Opt. Express 5(13), 302–317 (1999). [CrossRef] [PubMed] | |
V. Backman, R. Gurjar, L. T. Perelman, V. Gopal, M. Kalashnikov, K. Badizadegan, A. Wax, I. Georgakoudi, M. Mueller, and C. W. Boone, “Imaging and measurement of cell structure and organization with submicron accuracy using light scattering spectroscopy,” Proc. SPIE 4617, 101–110 (2002). [CrossRef] | |
R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med. 7(11), 1245–1248 (2001). [CrossRef] [PubMed] | |
T. C. Wood and D. S. Elson, “Polarization response measurement and simulation of rigid endoscopes,” Biomed. Opt. Express 1(2), 463–470 (2010). [CrossRef] [PubMed] | |
T. C. Wood and D. S. Elson, “Polarization characterisation of laparoscope systems for polarization resolved tissue imaging,” in Biomedical Optics, OSA Technical Digest (CD) (Optical Society of America, 2010), paper BTuD29. | |
X. Wang and S. Yazdanfar, “Endoscope objective lens with large entrance pupil diameter and high numerical aperture,” U.S. patent 7,821,720 (Oct. 26, 2010). | |
J. Qi, D. S. Elson, and C. Barriere, “Polarized multispectral imaging in a rigid endoscope based on polarized light scattering spectroscopy,” in Biomedical Optics, OSA Technical Digest (Optical Society of America, 2012), paper BW4B.7. | |
C. F. Boliren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983). |
OCIS Codes
(170.2150) Medical optics and biotechnology : Endoscopic imaging
(110.4234) Imaging systems : Multispectral and hyperspectral imaging
(290.5855) Scattering : Scattering, polarization
ToC Category:
Endoscopes, Catheters and Micro-Optics
History
Original Manuscript: June 18, 2012
Revised Manuscript: August 7, 2012
Manuscript Accepted: August 8, 2012
Published: August 13, 2012
Virtual Issues
BIOMED 2012
(2012) Biomedical Optics Express
Citation
Ji Qi, Clement Barrière, Tobias C. Wood, and Daniel S. Elson, "Polarized multispectral imaging in a rigid endoscope based on elastic light scattering spectroscopy," Biomed. Opt. Express 3, 2087-2099 (2012)
http://www.opticsinfobase.org/boe/abstract.cfm?URI=boe-3-9-2087
Sort: Year | Journal | Reset
References
- D. G. Ferris, Modern Colposcopy: Textbook and Atlas (Kendall Hunt, 2004).
- R. H. Riddell, H. Goldman, D. F. Ransohoff, H. D. Appelman, C. M. Fenoglio, R. C. Haggitt, C. hren, P. Correa, S. R. Hamilton, B. C. Morson, S. C. Sommers, and J. H. Yardley, “Dysplasia in inflammatory bowel disease: standardized classification with provisional clinical applications,” Hum. Pathol.14(11), 931–968 (1983). [CrossRef] [PubMed]
- L. Perelman, V. Backman, M. Wallace, G. Zonios, R. Manoharan, A. Nusrat, S. Shields, M. Seiler, C. Lima, T. Hamano, I. Itzkan, J. Van Dam, J. Crawford, and M. Feld, “Observation of periodic fine structure in reflectance from biological tissue: a new technique for measuring nuclear size distribution,” Phys. Rev. Lett.80(3), 627–630 (1998). [CrossRef]
- V. Backman, R. Gurjar, K. Badizadegan, I. Itzkan, R. R. Dasari, L. T. Perelman, and M. S. Feld, “Polarized light scattering spectroscopy for quantitative measurement of epithelial cellular structures in situ,” IEEE J. Sel. Top. Quantum Electron.5(4), 1019–1026 (1999). [CrossRef]
- L. Qiu, D. K. Pleskow, R. Chuttani, E. Vitkin, J. Leyden, N. Ozden, S. Itani, L. Guo, A. Sacks, J. D. Goldsmith, M. D. Modell, E. B. Hanlon, I. Itzkan, and L. T. Perelman, “Multispectral scanning during endoscopy guides biopsy of dysplasia in Barrett’s esophagus,” Nat. Med.16(5), 603–606, 1p, 606 (2010). [CrossRef] [PubMed]
- L. T. Perelman, G. Zonios, V. Backman, R. Gurjar, I. Itzkan, R. R. Dasari, J. Van Dam, and M. S. Feld, “Quantitative analysis of mucosal tissues in patients using light scattering spectroscopy,” Proc. SPIE3597, 474–479 (1999). [CrossRef]
- C. S. Mulvey, A. L. Curtis, S. K. Singh, and I. J. Bigio, “Elastic scattering spectroscopy as a diagnostic tool for apoptosis in cell cultures,” IEEE J. Sel. Top. Quantum Electron.13(6), 1663–1670 (2007). [CrossRef]
- T. T. Wu and J. Y. Qu, “Assessment of the relative contribution of cellular components to the acetowhitening effect in cell cultures and suspensions using elastic light-scattering spectroscopy,” Appl. Opt.46(21), 4834–4842 (2007). [CrossRef] [PubMed]
- C. S. Mulvey, K. Zhang, W. H. B. Liu, D. J. Waxman, and I. J. Bigio, “Wavelength-dependent backscattering measurements for quantitative monitoring of apoptosis, part 1: early and late spectral changes are indicative of the presence of apoptosis in cell cultures,” J. Biomed. Opt.16(11), 117001 (2011). [CrossRef] [PubMed]
- C. S. Mulvey, K. Zhang, W. H. Bobby Liu, D. J. Waxman, and I. J. Bigio, “Wavelength-dependent backscattering measurements for quantitative monitoring of apoptosis, part 2: early spectral changes during apoptosis are linked to apoptotic volume decrease,” J. Biomed. Opt.16(11), 117002 (2011). [CrossRef] [PubMed]
- J. R. Mourant, J. P. Freyer, A. H. Hielscher, A. A. Eick, D. Shen, and T. M. Johnson, “Mechanisms of light scattering from biological cells relevant to noninvasive optical-tissue diagnostics,” Appl. Opt.37(16), 3586–3593 (1998). [CrossRef] [PubMed]
- O. C. Marina, C. K. Sanders, and J. R. Mourant, “Correlating light scattering with internal cellular structures,” Biomed. Opt. Express3(2), 296–312 (2012). [CrossRef] [PubMed]
- H. Fang, M. Ollero, E. Vitkin, L. M. Kimerer, P. Cipolloni, M. M. Zaman, S. D. Freedman, I. J. Bigio, I. Itzkan, E. B. Hanlon, and L. T. Perelman, “Noninvasive sizing of subcellular organelles with light scattering spectroscopy,” IEEE J. Sel. Top. Quantum Electron.9(2), 267–276 (2003). [CrossRef]
- I. J. Bigio, S. G. Bown, G. Briggs, C. Kelley, S. Lakhani, D. Pickard, P. M. Ripley, I. G. Rose, and C. Saunders, “Diagnosis of breast cancer using elastic-scattering spectroscopy: preliminary clinical results,” J. Biomed. Opt.5(2), 221–228 (2000). [CrossRef] [PubMed]
- K. S. Johnson, D. W. Chicken, D. C. O. Pickard, A. C. Lee, G. Briggs, M. Falzon, I. J. Bigio, M. R. Keshtgar, and S. G. Bown, “Elastic scattering spectroscopy for intraoperative determination of sentinel lymph node status in the breast,” J. Biomed. Opt.9(6), 1122–1128 (2004). [CrossRef] [PubMed]
- J. R. Mourant, T. M. Powers, T. J. Bocklage, H. M. Greene, M. H. Dorin, A. G. Waxman, M. M. Zsemlye, and H. O. Smith, “In vivo light scattering for the detection of cancerous and precancerous lesions of the cervix,” Appl. Opt.48(10), D26–D35 (2009). [CrossRef] [PubMed]
- H. Suh, O. A’amar, E. Rodriguez-Diaz, S. Lee, I. Bigio, and J. E. Rosen, “Elastic light-scattering spectroscopy for discrimination of benign from malignant disease in thyroid nodules,” Ann. Surg. Oncol.18(5), 1300–1305 (2011). [CrossRef] [PubMed]
- L. Qiu, V. Turzhitsky, E. Vitkin, L. Guo, E. Hanlon, I. Itzkan, and L. T. Perelman, “Coherent confocal light absorption and scattering spectroscopic microscopy,” in Biomedical Optics, OSA Technical Digest (Optical Society of America, 2012), paper BSu4B.3.
- K. Sokolov, R. Drezek, K. Gossage, and R. Richards-Kortum, “Reflectance spectroscopy with polarized light: is it sensitive to cellular and nuclear morphology,” Opt. Express5(13), 302–317 (1999). [CrossRef] [PubMed]
- V. Backman, R. Gurjar, L. T. Perelman, V. Gopal, M. Kalashnikov, K. Badizadegan, A. Wax, I. Georgakoudi, M. Mueller, and C. W. Boone, “Imaging and measurement of cell structure and organization with submicron accuracy using light scattering spectroscopy,” Proc. SPIE4617, 101–110 (2002). [CrossRef]
- R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med.7(11), 1245–1248 (2001). [CrossRef] [PubMed]
- T. C. Wood and D. S. Elson, “Polarization response measurement and simulation of rigid endoscopes,” Biomed. Opt. Express1(2), 463–470 (2010). [CrossRef] [PubMed]
- T. C. Wood and D. S. Elson, “Polarization characterisation of laparoscope systems for polarization resolved tissue imaging,” in Biomedical Optics, OSA Technical Digest (CD) (Optical Society of America, 2010), paper BTuD29.
- X. Wang and S. Yazdanfar, “Endoscope objective lens with large entrance pupil diameter and high numerical aperture,” U.S. patent 7,821,720 (Oct. 26, 2010).
- J. Qi, D. S. Elson, and C. Barriere, “Polarized multispectral imaging in a rigid endoscope based on polarized light scattering spectroscopy,” in Biomedical Optics, OSA Technical Digest (Optical Society of America, 2012), paper BW4B.7.
- C. F. Boliren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
Cited By |
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.





OSA is a member of 