Full Content is available to subscribers

Subscribe/Learn More  >
Proceedings Article

Transference matrix method for non slanted holographic reflection gratings

[+] Author Affiliations
Cristian Neipp, Jorge Francés, Manuel Pérez-Molina, Sergio Bleda, Augusto Beléndez

Univ. de Alicante (Spain)

Proc. SPIE 7717, Optical Modelling and Design, 771706 (May 14, 2010); doi:10.1117/12.854277
Text Size: A A A
From Conference Volume 7717

  • Optical Modelling and Design
  • Frank Wyrowski; John T. Sheridan; Jani Tervo; Youri Meuret
  • Brussels, Belgium | April 12, 2010

abstract

In this work we present an analysis of non-slanted holographic reflection gratings by using a matrix method. A transfer matrix which relates the values of the electric field and its derivatives is obtained for a permittivity which varies cosenoidally for one period. The coefficients of this matrix can be calculated in terms of Mathieu's functions and their derivatives. Then the matrix of the entire medium is obtained as the Nth power of the matrix for one period. Since the reflectance and transmittance coefficients are related to the coefficients of the medium matrix, it is possible to calculate the efficiencies of orders -1 (reflected) and 0 (transmitted) by using this method. The results obtained by using the Trensference Matrix Method are compared to those obtained using Kogelnik's expressions for the transmission and diffraction efficiency. As will be seen there is good agreement between the results obtained by the Transference Matrix Method and those of the Coupled Wave Theory.

© (2010) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Citation

Cristian Neipp ; Jorge Francés ; Manuel Pérez-Molina ; Sergio Bleda and Augusto Beléndez
"Transference matrix method for non slanted holographic reflection gratings", Proc. SPIE 7717, Optical Modelling and Design, 771706 (May 14, 2010); doi:10.1117/12.854277; http://dx.doi.org/10.1117/12.854277


Access This Proceeding
Sign in or Create a personal account to Buy this proceeding ($15 for members, $18 for non-members).

Figures

Tables

NOTE:
Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging & repositioning the boxes below.

Related Book Chapters

Topic Collections

Advertisement
  • Don't have an account?
  • Subscribe to the SPIE Digital Library
  • Create a FREE account to sign up for Digital Library content alerts and gain access to institutional subscriptions remotely.
Access This Proceeding
Sign in or Create a personal account to Buy this proceeding ($15 for members, $18 for non-members).
Access This Proceeding
Sign in or Create a personal account to Buy this article ($15 for members, $18 for non-members).
Access This Chapter

Access to SPIE eBooks is limited to subscribing institutions and is not available as part of a personal subscription. Print or electronic versions of individual SPIE books may be purchased via SPIE.org.