Sensitivity Dependence in a Dimensional Photonic Crystal with the Angle of Incidence of the Radiation for Cancer Cell Detection

Keywords: Photonic crystal, transfer matrix method, cancer cell, photonic bandgap, biosensor


In geotechnical engineering, bored-pile wall stability is evaluated using deterministic design methods based on safety factors to establish a margin against failure. In recent years, reliability-based design methods have been adopted to include uncertainty in the assessment of bored-pile wall stability as well as in the calculation of the feasible embedment depth of the walls. In this study, an expanded reliability-based design approach, along with finite element analysis, was applied to conduct parametric analyses of bored-pile wall stability. In serviceability limit state design framework, the results indicate that cohesion and groundwater level are factors that significantly affect bored-pile wall stability. Moreover, high variability in the cohesion range causes great uncertainty to determine the embedment depth of bored-pile wall. The feasible embedment depth can reach 4 times the free height considering the maximum coefficient of variation (50 %) of the cohesion. In turn, when the groundwater level is located at the retained ground surface, the horizontal displacement of the upper end of the wall reaches 15.2 mm, i.e., 0.0038 times the free height of the wall, for which the soil mobilizes active earth pressures. It was also found that the resolution of probabilistic results is highly influenced by the number of iterations in Monte Carlo simulations.

Author Biographies

Francis Segovia-Chaves, Universidad Surcolombiana, Colombia

Físico, Grupo de Física Teórica, Programa de Física, Universidad Surcolombiana, Neiva-Colombia,

Juan Carlos Trujillo-Yague*, Universidad Surcolombiana, Colombia

Msc. en Física, Facultad de Ciencias Exactas y Naturales, Universidad Surcolombiana, Neiva-Colombia,


J. D. Joannopoulos, P. R. Villeneuve, and S. Fan, “Photonic crystals: putting a new twist on light”, Nature, vol. 386, pp.143-149, Mar. 1997.

J. D. Joannopoulos, S. G Johnson, J. N. Winn, R. D Meade, “Photonic Crystals: Molding the Flow of Light”, 1th ed. Princeton: Princeton University Press, 2008.

S. Noda y T. Baba, “Roadmap on Photonic Crystals”, Springer, Boston, MA, 2003.

F. Segovia-Chaves y H. Vinck-Posada, “Dependence of the transmittance spectrum on temperature and thickness of superconducting defects coupled in dielectric one-dimensional photonic crystals”, Optik, vol. 170, pp. 384-390, Oct. 2018.

F. Segovia-Chaves y H. Vinck-Posada, “Effects of hydrostatic pressure, temperature and angle of incidence on the transmittance spectrum of TE mode in a 1D semiconductor photonic crystal”, Optik, vol. 161, pp. 64-69, May. 2018.

F. Segovia-Chaves y H. Vinck-Posada, “Tuning of transmittance spectrum in a one-dimensional superconductor-semiconductor photonic crystal”, Physica B: Condensed Matter, vol. 543, pp. 7-13, Aug. 2018.

H. J. El-Khozondar, P. Mahalakshmi, R. J. El-Khozondar, N. R. Ramanujam, I. S. Amiri, and P. Yupapin, “Design of one dimensional refractive index sensor using ternary photonic crystal waveguide for plasma blood samples applications,” Physica E: Low-dimensional Systems and Nanostructures, vol. 111, pp. 29–36, Jul. 2019.

L. Rayleigh. “XVII On the maintenance of vibrations by forces of double frequency, and on the propagation of waves through a medium endowed with a periodic structure”, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol. 24, no. 147, pp. 145-159, Aug. 1887.

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics”, Physical review letters, vol. 58, no. 20, pp. 2059-2062, May. 1987.

S. John, “Strong localization of photons in certain disordered dielectric superlattices”. Physical review letters, vol. 58, no. 23, pp. 2486-2489, Jun. 1987.

S. K. Awasthi, U. Malaviya, y S. P. Ojha, “Enhancement of omnidirectional total-reflection wavelength range by using one- dimensional ternary photonic bandgap material”, Journal of the Optical Society of America B, vol. 23, no. 12, pp. 2566-2571, Nov. 2006.

V. Y. Zyryanov, V. A. Gunyakov, S. A. Myslivets, V. G. Arkhipkin y V. F. Shabanov, “Electrooptical switching in a one-dimensional photonic crystal”, Molecular Crystals and Liquid Crystals, vol. 488, no. 1, pp. 118-126, Sept. 2008.

J. S. Patel and K. Rastani, “Electrically controlled polarization-independent liquid-crystal Fresnel lens arrays”, Optics letters, vol. 16, no. 7, pp. 532-534, Apr. 1991.

El-Ghany, “Temperature Sensors Based on One Dimensional Photonic Crystals with Different Double Defects”, Journal of Nanoelectronics and Optoelectronics, vol. 13, no. 2, pp. 221-228., Feb. 2018.

J. Peng, D. Lyu, Y. Qu, W. Wang, T. Sun and M. Yang, “Thin films based one-dimensional photonic crystal for refractive index sensing”, Optik, vol. 158, pp. 1512-1518, Apr. 2018.

Q. Gong y X. Hu, Photonic crystals: principles and applications, Boca Raton, EE. UU: Taylor & Francis Group, 2014.

F. Segovia-Chaves, H. Vinck-Posada, V. Dhasarathan y M. S. Mani Rajan, “Transmittance spectrum in a 1D photonic crystal composed fused silica and sea water”. Optik, vol. 185, pp. 930-935, May 2019.

C. A. M La Porta y S. Zapperi, The physics of cancer, Cambridge, United Kingdom: Cambridge University Press, 2017.

D. Wirtz, K. Konstantopoulos y P. C. Searson, “The physics of cancer: the role of physical interactions and mechanical forces in metastasis”, Nature Reviews Cancer, vol. 11, no. 7, pp. 512-522, Jun. 2011.

T. Meyer, M. Schmitt, O. Guntinas-Lichius and J. Popp, “Toward an All-Optical Biopsy”. Optics and Photonics News, vol. 30, no. 4, pp. 26-33, Apr. 2019.

B. Bohunicky y S, Mousa, “Biosensors: the new wave in cancer diagnosis”, Nanotechnology, science and applications, vol. 4, pp. 1-10, Dec. 2011.

H. Inan, et. al “Photonic crystals: emerging biosensors and their promise for point-of-care applications”, Chemical Society Reviews, vol. 46, no 2, pp. 366-388, Nov. 2017.

X. J. Liang, A.Q. Liu, C. S. Lim, T. C. Ayi, P. H. Yap “Determining refractive index of single living cell using an integrated microchip”, Sensors and Actuators A: Physical, vol. 133, no. 2, pp. 349-354 Feb. 2007.

S. Suresh, “Biomechanics and biophysics of cancer cells”. Acta Materialia, vol. 55, no. 12, pp. 3989-4014, Jul. 2007.

N.R. Ramanujam, et al., “Enhanced sensitivity of cancer cell using one dimensional nano composite material coated photonic crystal”. Microsystem Technologies, vol. 25, no. 1, pp. 189-196, May. 2018.

P. Yeh, Optical waves in layered media. New York, EE.UU: Wiley-interscience, 2005.

S. Kinoshita, Bionanophotonics: an introductory textbook. Boca Raton, EE.UU: Taylor & Francis Group, 2016.

N. R. Ramanujam, y K. J. Wilson. “Optical properties of silver nanocomposites and photonic band gap–Pressure dependence”, Optics Communications, vol. 368, pp. 174-179, Jun. 2016.

I.H. Malitsom, “Interspecimen comparison of the refractive index of fused silica”, Journal of the Optical Society of America, vol. 55, no. 10, pp. 1205-1209, Oct. 1965.

I. A. Cree, “Liquid biopsy for cancer patients: Principles and practice,” Pathogenesis, vol. 2, no. 1–2, pp. 1–4, Jun. 2015.

R. Palmirotta, et all., “Liquid biopsy of cancer: a multimodal diagnostic tool in clinical oncology,” Therapeutic Advances in Medical Oncology, vol. 10, p. 175883591879463, Aug. 2018.

N. Ayyanar, G. Thavasi Raja, M. Sharma, and D. Sriram Kumar, “Photonic Crystal Fiber-Based Refractive Index Sensor for Early Detection of Cancer,” IEEE Sensors Journal, vol. 18, no. 17, pp. 7093–7099, Jul. 2018.

Z. Chunxiang, C. Caixiu Luo, L. Hao, y X. Yingmao, “The research on magnetic tunable characteristics of photonic crystal defect localized modes with a defect layer of nanoparticle magnetic fluids,” Chinese Optics Letters, vol. 12, no. s1, pp. S11602–311604, 2014.

How to Cite
Segovia-Chaves, F., & Trujillo-Yague, J. C. (2020). Sensitivity Dependence in a Dimensional Photonic Crystal with the Angle of Incidence of the Radiation for Cancer Cell Detection. TecnoLógicas, 23(48), 181-195.


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