Cepstral Analysis of Photonic Nanojet-Illuminated Biological Cells
Keywords:
Cepstral Analysis of Photonic Nanojet-Illuminated Biological CellsAbstract
It is currently believed that nanometerscale internal refractive index fluctuations within biological cells change significantly during the initial stages of ultra early-stage cancer development well in advance of these changes becoming more pronounced and histologically detectable. Here, backscattered cepstral results of photonic nanojet-illuminated cells are investigated as a means to offer unique advantages for determining the internal structure and composition of cells at sub-diffraction (nanometer) scales. Specifically, the finite-difference time-domain (FDTD) method is employed to obtain the backscattered cepstrum of photonic-nanojet illuminated human colorectal HT-29 cells. Analysis of the backscattered cepstrum of the HT- 29 cells indicates a clear means to distinguish between cells having larger and smaller levels of internal refractive index fluctuations before these changes are histologically detectable. Further, we find that the surface reflection is reduced for the case of nanojet-illuminated cells compared to flat surfaces.
Downloads
References
H. Subramanian, P. Pradhan, Y. Liu, I. Capoglu,
X. Li, J. Rogers, A. Heifetz, D. Kunte, H.Roy, A.
Taflove, and V. Backman, “OpticalMethodology
for Detecting Histologically Unapparent
Nanoscale Consequences of Genetic Alterations
in Biological Cells,” Proc. Natl. Acad. Sci., vol.
, issue 51, pp. 20124-20129, 2008.
B. P. Bogert, M. J. R. Healy, J. W. Tukey, and M.
Rosenblatt, “The Quefrency Analysis of Time
Series for Echoes: Cepstrum, Pseudo-
Autocovariance, Cross-Cepstrum, and Saphe
Cracking,” in Time Series Analysis, M.
Rosenblatt, Ed., ch. 15, pp. 209–243, 1963.
A. Heifetz, S.-C. Kong, A.V. Sahakian, A.
Taflove, and V. Backman, “Photonic Nanojets,” J.
Computational & Theoretical Nanoscience, vol.
, pp. 1979-1992, Sept. 2009.
C. Méndez Ruiz and J. J. Simpson, “Detection of
Embedded Ultra-Subwavelength-Thin Dielectric
Features using Elongated Photonic Nanojets,”
Optics Express, vol. 18, iss. 16, pp. 16805-16812,
A. Taflove and S. C. Hagness, Computational
Electrodynamics: The Finite-Difference Time-
Domain Method, 3rd edition. Norwood, MA:
Artech House, 2005.
Personal communications with Dr. Marc Richter
of the Institute of Photonic Technology in Jena,
Germany.
P. Pradhan, D. Damania, H. M. Joshi, V.
Turzhitsky, H. Subramanian, H. K. Roy, A.
Taflove, V. P. Dravid, and V. Backman,
"Quantification of Nanoscale Density Fluctuations
Using Electron Microscopy:Light-Localization
Properties of Biological Cells," Phys. Biol., vol. 8,
issue 2, 2011.
S.B. Haley andP. Erdos, “Wave-Propagation in
One-Dimensional Disordered Structures,” Phys
Rev B, vol. 45, issue 15, pp. 8572–8584, 1992.
P. Debye, H. R. Anderson, Jr., and H.
Brumberger, “Scattering by an Inhomogeneous
Solid. II. The Correlation Function and Its
Application,” Journal of Applied Physics, vol. 28,
no. 6, pp. 679 – 683, 1957.
J. M. Schmitt and G. Kumar, “Optical Scattering
Properties of Soft Tissue: A Discrete Particle
Model,” Appl. Opt., vol. 37, issue 13, pp. 2788-
, 1998.
D. A. Woten andM. El-Shenawee, “Quantitative
Analysis of Breast Skin for Tumor
Detection Using Electromagnetic Waves,”
Applied Computational Electromagnetics
Society (ACES) Journal, vol. 24, no. 5, pp. 458–
, October 2009.
M. A. Eleiwa and A.Z. Elsherbeni, “Debye
Constants for Biological Tissues
From 30 Hz to 20 GHz,”Applied Computational
Electromagnetics Society (ACES) Journal, vol.
, no. 3, pp. 202 – 213, November 2001.
S. Caorsi, E.Bermani, and A. Massa, “A
Microwave Imaging
Approach Based on Amplitude-Only Data for the
Reconstruction of the
Electromagnetic Field Inducedin Biological
Phantoms,” Applied Computational
Electromagnetics Society ( ACES) Journal, vol.
, no. 2, pp. 79 – 89, July 2001.