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In this paper, a mathematical model is designed for THz generation from a nonlinear random medium. Using nonlinear optics and Maxwell’s equations a set of nonlinear wave equations are derived to give scattered electromagnetic fields from an inhomogeneous medium. First, the analysis is done with second order nonlinearity. Its scattering parameters are calculated for THz radiation. Secondly, third order nonlinearity is described in terms of the coupling of Scalar and vector field components of nonlinear wave equations. The coupling of waves results in soliton generation. Multiple nonlinear interaction in the medium also gives wide bandwidth. Speed and high bandwidth is a demand of future networks. Hence a mathematical proof is implemented for THz antennas using SHG (Second harmonic generation) and THG (Third harmonic generation) materials. These antennas are designed and simulated using GaAs as a SHG material, and Graphene with SiO2 substrate as a THG material. GaAs is used as a substrate, which radiates at 524.8 GHz giving a high bandwidth of 25 GHz. Similarly, Graphene patch antenna with SiO2 substrate radiates in THz region at 3.5THz giving very high bandwidth of 2.5THz.
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M. Khulbe, M. R. Tripathy, H. Parthasarathy, Wavelet based method for nonlinear Inverse scattering problem using least mean square estimation" Progress In Electromagnetic Research Symposium, St. Petersburg, Russia, 22-25 May (2017).
A. Y. Pawar, D. Sonawane, K. B. Erende, D. V. Derle, Terahertz Technology and its Applications, Elsevier Drug Invention Today, 5 (2), (2013) 157-163.
X. Zhang, C. Chung, S. Wang , H. Subbraman, Z. Pan, Q.Zhan, Integrated broadband bowtie antenna on transparent Silica Substrate, IEEE Antennas and Wireless Propagation Letters, (2016) 1-4.
B. Zhu, Y. Chen, K. Deng, W. Hu, Z. S. Yao ,Terahertz science and technology and applications, PIER Proceedings, Beijing China (2009) March 23-29.
Summit High Frequency Electronics, Terahertz (THz) Technology: An Introduction and Research Update, Technology Report, Summit Technical media LLC, (2008) 40.
R. B. Boyd, Nonlinear Optics, Elsevier, 3rd edition. 2008, 5-10, 69-70, 240.
L. Zhi Bo, Z. Xiao Liang, Y. Xiao Qing, C. YongSheng & T. Jian Guo, Nonlinear optical properties of graphene-based materials ,Chinese Science Bulletin, Review, Special Issue Graphene, vol. 57, no-23, Aug (2012) 2971-2982.
J. A. Zielinska and M. W. Mitchell, The photo-Kerr effect: a new optical nonlinearity and its use for cavity self-stabilization, Letters, Optica, vol. X, No. X, July 31, 2017.
I. G. Koprinkov, A. Suda, P. Wang, and K.Midorikawa, Self-Compression of High-Intensity Femtosecond Optical Pulses and Spatiotemporal Soliton Generation, Phys. Rev. Lett. 84, (2000) 3847.
Y. Guo, C. K. Kao, E. H. Li , K. S. Chiang, Nonlinear Photonics, Springer 2002, 18, 21-29.
D. J. Hagan, and P. Kick, G. Kik, Light Matter Interaction, Lecture notes, CREOL, The college of Optics and Photonics, Florida (2013).
A. Balanis, Antenna Theory and Design, Wiley Pub ,2nd Edition 2015, 118, 120-125.
J. Kroha, C. M. Soukoulis, P. Wolfie, Localization of classical waves in a random medium: A self-consistent theory, Physical Review B, American Physical Society, vol. 47, no 17 (1993).
H. Harutyunyan, V. Giorgio, and L., Novonty, Nonlinear Optical Antenna, Cambridge University Press 2013.
D. Sjoberg, Direct and Inverse Scattering of Electromagnetic Waves in Nonlinear Media, Department of Electromagnetic Theory, Lund Institute of Technology, PhD thesis, 1999, 4-16.
K. Rottwitt, P. Tidemand-Lichtenberg, Nonlinear Optics: Principles and Applications, CRC Press, 2014.
Peter H. Wagner, M. Kuhnelt, Langbein, W. Wolfgang, J. M. Hvam, Dispersion of the second order nonlinear susceptibility in ZnTe, ZnSe and ZnS, Physical Review B (Condensed matter and material physics), vol. 58, No 16, Oct 15 (1998), 494-497.
M. Khulbe, H. Parthasarathy, Soliton generation in a Kerr medium: mathematical analysis using Maxwell's equations, International Journal of Photonics (IJP), vol 5, no 1-2, pp1-12.
M. Khulbe, H. Parthasarathy, M. R. Tripathy, Mathematical analysis of RF Imaging techniques and Signal processing using wavelet transforms, International Journal of Signal and Imaging System Engineering, Inderscience Journal V.10 N6 (2017).
L. Kavitha, E. Parasuraman, D. Gopi & S. Bhuvaneswari, Propagation of electromagnetic solitons in an antiferromagnetic spinladder medium, Journal of Electromagnetic Waves and Applications, Vol. 30, Issue 6 (2016), 740-766.
F. Ahmad, S. W. Harun, R. M. Nor, N. R. Zulkepely, H. Ahmad and P. Shum, A Passively Mode-Locked Erbium-Doped Fiber Laser Based on a Single-Wall Carbon Nanotube Polymer, Chinese Physical Society and IOP Publishing Ltd Chinese Physics Letters, Volume 30, Number 5 (2013).
C. L. Tang, Nonlinear and Photorefractive Optics, Nonlinear Optics, McGraw-Hill, Inc. ch-38, 1995, 19-20.
G. Thomas, J. V. Voskuilen, H. C. Gerritsen, H. J. C. M. Sterenborg, Advances and challenges in label-free nonlinear optical imaging using two-photon excitation fluorescence and second harmonic generation for cancer research, J Photochemical Photobiology B, Dec 141 (2014), 128-38.
R. K. Chang, J. Ducuing and N. Blomberger, Relative phase measurement between fundamental and second harmonic light, Phys. Rev. Lett, 15 (1965) 415.
J. L. Cheng, N. Vermeulen, J. E. Sipe, Second order optical nonlinearity of graphene due to electric quadrupole and magnetic dipole effects, Scientific Reports, March 6 (2017) 1-2.
J. Danielson, Generation of narrowband THz pulses and THz studies of ultrafast phenomenon, Thesis Feb, Oregon State University, USA (2008).
S. Farazi, and A. Zarifkar., A Low-Power Optical Nano switch Based on XPM-Enhanced Second Harmonic Generation, Journal of Light wave Technology, Vol. 35, Issue 10 (2017) 1988-1994.
N. A. Savostianova, and S. A. Mikhailov, Third harmonic generation from Graphene lying on different substrates: Optical phonon resonances and interference effects, Optics Express 25 (2017) 8-9.
R. I. Woodword, R. T. Murray, C. F. Phelan, R. E. P. Oliveira, T. H. Runcorn , E. J. R. Kelleher, S. Li, E. C. Oliveira, G. J. M. Fechine, G. Eda and C. J. S. Matos, Characterization of the second and third order nonlinear optical susceptibilities of monolayer MoS2 using multiphoton microscopy, 2D materials, letter, IOP, (2017), 4.
X. Yin, B. W. H Ng, D. Abbott, Terahertz imaging for biomedical applications pattern recognition and tomographic reconstruction, Springer Science & Business Media (2012), 6.
Q. Lin and G. P. Agrawal, Vector Theory of Cross-Phase Modulation: Role of Nonlinear Polarization Rotation, IEEE of Journal of Quantum Electronics Vol. 40, no. 7, July (2004).
J. K. Ranka, R. S. Windeler, A. J. Stentz, Visible continuum generation in air–silica microstructure optical fibers with anomalous dispersion at 800 nm, Optics letters, Vol. 25, Issue 1, (2000), pp. 25-27.
Q. Lin, O. J. Painter, G. P. Agrawal, Nonlinear optical phenomena in silicon waveguides, Opt. Express 15, (2007), 16604.
G. Kristenson and D. J N Wall ,Direct and inverse scattering for transient electromagnetic waves in nonlinear media, IOP, Inverse Problems, Volume 14, No 1 (1997).
M. Khulbe, M. R. Tripathy H. Parthasarathy, "Plasmonics for THz applications: Design of Graphene square patch antenna tested with different substrates for THz Applications", Next Generation Computing Technologies, Springer conference, 30-31 Oct 2017, Dehradun, India, Proceedings book chapter of "Communications in Computer and Information Science (CCIS)" Series ISSN No: 1865-0929, vol 747 (under press).
R. Bala, A. Marwaha, "Characterization of graphene for performance enhancement of patch antenna in THz region", Elsevier (2014).
A. S. Thampy, M. S. Darak, S. K. Dhamodharan, "Analysis of graphene based optically transparent patch antenna for terahertz communications, Journal of Physics, Physica E: Low-dimensional Systems and Nanostructures", vol. 66, (2015).
H. Elayan, R. M. Shubair, A. Kiourti, "On Graphene based THz plasmonics Nano Antenna", Microwave Symposium (MMS), 2016, 16th Mediterranean, Abu Dhabi, United Arab Emirates.
M. Nadafan, Z. Dehghan, R. Malekfar,Microstructural and nonlinear optical properties of SiO2 and Al2O3 nanoparticles doped in polyurethane, Vol. 30, Issue 11, 14 June 2015, pp. 1788-1796.
A. Ishizawa, R. Kou, T. Goto, T. Tsuchizawa, N. Matsuda, K. Hitachi, T. Nishikawa, K. Yamada, T. Sogawa, and H. Gotoh, "Optical nonlinearity enhancement with graphene-decorated silicon waveguides", Science Rep. 2017; 7: 45520.Published online 2017 Apr 12.
Paruisseaee J., Tamagnone C. M., Gomez- Diaz J.S., Carrasco E. "Grapheme Antennas; Can Integration and Configurability Compensate for Loss", Microwave Conference (EuMC), (2013).
S. Sengupta, "Characterization Terahertz Emission from High resistivity Fe doped Bulk .69 .31 based photoconducting antennas" Doctoral Thesis , Springer, Renesselaer Polytechnic Institute, Troy, USA, 2011, page 47.
J. T. Bernhard, "Reconfigurable antennas" (Synthesis lectures on Antennas), Morgan & Clypool Publisher, pg. 19, 20.
I. Llatser, C. Kremers, Cabellos-Aparicio, A., Jornet, J.M., Alarcon, E. and Chigrin, D.N.: Graphene-based Nano-patch antenna for terahertz radiation, Photonics and Nanostructures fundamentals and application, 2012.
J.Paruisseaee, C. M. Tamagnone, Gomez- Diaz J.S., Carrasco, E.: Grapheme Antennas; Can Integration and Reconfigurability Compensate for Loss, Microwave Conference (EuMC), 2013.
J. M. Jornet and I. F. Akyildiz "Graphene-based Plasmonic Nano Antenna for Terahertz Band Communication in Nano networks", IEEE Journal on Selected Areas in Communications/Supplement-Part 2, Vol. 31, No. 12, Dec 2013.
M. Rahm, Tahsin Akalin, Ajay Nahata, Miguel Beruete , "Focus on Terahertz plasmonics " 2015, New J. Phys. 17.
I. F. Akylidiz, M. Jornet: Graphene based Plasmonic Nano antenna for terahertz, IEEE Journal on Selected Areas in Communication, vol. 1, Elsevier Science (2002).
D. S. Filipovic, J. L. Volakis slot spiral antenna designs for dual-band/multiband operation, IEEE Transactions on Antennas, Vol. 51, Issue: 3430 – 440, 28 May 2003.
K. Imakita, M. Ito, M. Fujii, and S. Hayashi, "Nonlinear optical properties of Si nanocrystals embedded in SiO2 prepared by a co sputtering method", Journal of Applied Physics 105, 093531 (2009).