Reflection and transmission of a Gaussian beam for an inhomogeneous layered medium using SPPS method

References

• Goldsmith PF. Quasioptical systems: Gaussian beam quasioptical propagation and applications. Wiley-IEEE Press; 1998.
   Google Scholar
• Saleh BEA, Teich MC. Fundamentals of photonics. 2nd ed. In: Wiley InterScience, John Wiley & Sons, Inc, 2007
   Google Scholar
• Ishimaru A. Electromagnetic wave propagation, radiation, and scattering. Englewood Cliffs (NJ): Prentice Hall; 1991.
   Google Scholar
• Novotny L, Hecht B. Principles of Nano-Optics. Cambridge: Cambridge University Press; 2006.
   Google Scholar
• Siegman AE. Lasers. Mill Valley (CA): University Science Books; 1986.
   Google Scholar
• Weber MJ. Handbook of laser wavelengths. Boca Raton (FL): CRC Press LLC; 1999.
   Google Scholar
• Chew WC. Waves and fields in inhomogeneous media. New York: IEEE Press; 1995.
   Google Scholar
• Ke Y, Yi L, Xiao Z, et al. Reflection and refraction of gaussian beam on wavy surface in airborne ocean LIDAR. J Wuhan Univ Natur Sci. 2002;7(2):207–211. doi: 10.1007/BF02830318
   Google Scholar
• Doneus M, Doneus N, Briese C, et al. Airborne laser bathymetry detecting and recording submerged archaeological sites from the air. J Archaeol Sci. 2013;40(4):2136–2151. doi: 10.1016/j.jas.2012.12.021
   Web of Science ®Google Scholar
• Ul'yanov SS, Tuchin VV, Bednov AA, et al. The application of speckle interferometry for the monitoring of blood and lymph flow in microvessels. Lasers Med Sci. 1997;12(1):31–41. doi: 10.1007/BF02763919
   Web of Science ®Google Scholar
• Kulikov KG. Laser interaction with biological material: mathematical modeling. Springer; 2014. (Biological and medical physics, biomedical engineering).
   Google Scholar
• Chu X, Liu Z, Wu Y. Propagation of a general multi-Gaussian beam in turbulent atmosphere in a slant path. J Opt Soc Am. 2008;25(1):74–79. doi: 10.1364/JOSAA.25.000074
   Web of Science ®Google Scholar
• Kozaki S, Harada H. Beam displacement of a reflected beam at an interface between an inhomogeneous medium and free space. J Opt Soc Am. 1978;68(11):1592–1596. doi: 10.1364/JOSA.68.001592
   Web of Science ®Google Scholar
• Yeh P. Optical waves in layered media. Hoboken (NJ): Wiley; 2005.
   Google Scholar
• Kravchenko VV. Applied pseudoanalytic function theory. Basel: Frontiers in Mathematics, Birkhäuser; 2009.
   Google Scholar
• Kravchenko VV, Porter RM. Spectral parameter power series for Sturm–Liouville problems. Math Methods Appl Sci. 2010;33(4):459–468.
   Web of Science ®Google Scholar
• Castillo R, Khmelnytskaya KV, Kravchenko VV, et al. Efficient calculation of the reflectance and transmittance of finite inhomogeneous layers. J Opt A. 2009;11.
   Web of Science ®Google Scholar
• Burlak GN, Rabinovich VS. Propagation of electromagnetic waves generated by modulated moving source in dispersive lossy media. Math Methods Appl Sci. 2015;38(10):2012–2026. doi: 10.1002/mma.3191
   Web of Science ®Google Scholar
• Nazaikinskii VE, Schulze BW, Yu B. Sternin quantization methods in differential equations. London: Taylor & Francis; 2002.
   Google Scholar
• Burlak GN, Rabinovich VS. Time-Frequency integrals and the stationary phase method in problems of waves propagation from moving sources. Symmetry Integr Geom Methods Appl SIGMA. 2012;8. 96 21 pages.
   Google Scholar
• Shubin MA. Pseudo differential operators and spectral theory. 2nd ed. New York: Springer:Berlin-Heidelberg; 2001.
   Google Scholar
• Hörmander L. The analysis of linear partial differential operators I, distribution theory and fourier analysis. New York: Springer-Velag; 1983.
   Google Scholar
• Kozaki S, Sakurai H. Characteristics of a Gaussian beam at a dielectric interface. J Opt Soc Am. 1978;68(4):508–514. doi: 10.1364/JOSA.68.000508
   Web of Science ®Google Scholar
• Arfken GB. Mathematical methods for physicists. 6th ed. Boston: Elsevier Academic Press; 2005.
   Google Scholar
• Hsue CW, Tamir T. Lateral beam displacements in transmitting layered structures. Opt Commun. 1984;49(6):383–387. doi: 10.1016/0030-4018(84)90198-6
   Web of Science ®Google Scholar
• Kravchenko VV, Torba SM. Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems. J Comput Appl Math. 2015;275:1–26. doi: 10.1016/j.cam.2014.07.022
   Web of Science ®Google Scholar
• Khorasani S, Karimi F. Basis functions for solution of non-homogeneous wave equation. Proc SPIE. 2012;8619:DOI: 10.1117/12.2019539.
   Google Scholar
• Polyanin AD, Zaitsev VF. Handbook of exact solutions for ordinary differential equations. 2nd ed. Boca Raton: CRC Press, Inc; 2003.
   Google Scholar
• Weyl H. Über gewöhnliche differentialgleichungen mit singularitäten und die zugehörigen entwicklungen willkürlicher funktionen. Mathematische Annalen (German). 1910;68(2):220–269. doi: 10.1007/BF01474161
   Google Scholar