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

ABSTRACT

In this paper, the electromagnetic propagation of a Gaussian beam with oblique incidence is analyzed in an inhomogeneous stratified medium. The transmission and reflection coefficients of a finite inhomogeneous layer are calculated for a perpendicular polarization using the spectral parameter power series method; these coefficients are implicit in the asymptotic formulas obtained for the electric field, the complex stationary-phase method is applied to solve them. The results obtained of reflectance and transmittance by the SPPS method are compared against the results obtained by the DTMM and WKB methods, and it is calculated the absolute error respect to exact solutions, besides other numerical results are obtained.

KEYWORDS:

• SPPS method
• reflectance coefficient
• transmittance coefficient
• Gaussian beam
• inhomogeneous layered medium

Acknowledgements

H. Oviedo would like to thank the support of the project SIP-IPN 20180325. Moreover, the authors would like to express their appreciation to their colleague at Department of Mathematics, CINVESTAV del IPN, Unidad Quer étaro, Prof. Dr. V. V. Kravchenko, for making us many valuable suggestions about the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

H. Oviedo-Galdeano  http://orcid.org/0000-0002-5281-1679

Additional information

Notes on contributors

J. A. López-Toledo

J. A. López-Toledo received his MSc degree in Telecommunications Engineering from ESIMEZ-IPN (2011). Currently, he is finishing for his doctor's degree in the SEPI UPIITA-IPN. His present research interests include methods of mathematical physics and the propagation of waves in complex media.

H. Oviedo-Galdeano

H. Oviedo-Galdeano received his PhD from SEPI ESIMEZ, National Polytechnic Institute (2004). He works as researcher at SEPI-ESIMEZ-IPN in Mexico, where he lectures at several graduate courses. His present research interests include telecommunications networks, methods of mathematical physics and the propagation of waves in complex media.