Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Improved differential-transfer-matrix method for inhomogeneous one-dimensional photonic crystals

Not Accessible

Your library or personal account may give you access

Abstract

A band structure of one-dimensional periodic media having an arbitrary inhomogeneous refractive index profile is extracted based on the modification committed on the differential-transfer-matrix method (DTMM). Furthermore, the most recently modified differential transfer matrix is improved by reshaping the formulation in terms of which the electromagnetic fields are expanded and closed form formulas, providing the allowed values of Bloch wavenumbers, which were not available before. Although the frequency gaps in previously published results that we derived by using the conventional DTMM were not in agreement with the well-known Bragg law at the edge of each Brillouin zone, the new results obtained by the proposed method are now matched with the Bragg condition. The final results are also justified by either employing conventional transfer-matrix method or comparing it with exact analytical solutions, wherever such exact solutions were available.

© 2006 Optical Society of America

Full Article  |  PDF Article
More Like This
Modified differential-transfer-matrix method for solution of one-dimensional linear inhomogeneous optical structures

Mohammad H. Eghlidi, Khashayar Mehrany, and Bizhan Rashidian
J. Opt. Soc. Am. B 22(7) 1521-1528 (2005)

Differential transfer-matrix method for solution of one-dimensional linear nonhomogeneous optical structures

Sina Khorasani and Khashayar Mehrany
J. Opt. Soc. Am. B 20(1) 91-96 (2003)

Legendre polynomial expansion for analysis of linear one-dimensional inhomogeneous optical structures and photonic crystals

Maysamreza Chamanzar, Khashayar Mehrany, and Bizhan Rashidian
J. Opt. Soc. Am. B 23(5) 969-977 (2006)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (41)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved