TY - JOUR
T1 - Markov–Airy description of optical scattering, waveguides, and resonators
AU - Galvin, T. C.
AU - Eden, J. G.
N1 - Funding Information:
Acknowledgment. The technical support of A. E. Mironov (University of Illinois) and the support of this work by the AFOSR (H. R. Schlossberg and J. Luginsland) are gratefully acknowledged.
Funding Information:
The U.S. Air Force Office of Scientific Research (AFOSR) (FA9550-10-1-0456, FA9550-12-1-0012, FA9550-14-1-0002). The technical support of A. E. Mironov (University of Illinois) and the support of this work by the AFOSR (H. R. Schlossberg and J. Luginsland) are gratefully acknowledged.
Publisher Copyright:
© 2019 Optical Society of America
PY - 2019/5
Y1 - 2019/5
N2 - Representing the reflection and transmission of light by multilayer dielectric structures in terms of Markov chains provides an intuitive, precise, and computationally efficient framework for calculating the dispersive properties (group delay, group delay dispersion, and higher order phase derivatives) of ultrafast laser mirrors and other broadband optical components. The theoretical basis for the Markov–Airy formalism is described, and its ability to precisely determine the dispersive characteristics of multilayer dielectric structures is demonstrated here. Exact expressions for the three lowest order phase derivatives for a dielectric mirror and waveguide are derived, and Markov–Airy-based numerical simulations of specific mirror designs are compared with results obtained with the conventional transition matrix formalism.
AB - Representing the reflection and transmission of light by multilayer dielectric structures in terms of Markov chains provides an intuitive, precise, and computationally efficient framework for calculating the dispersive properties (group delay, group delay dispersion, and higher order phase derivatives) of ultrafast laser mirrors and other broadband optical components. The theoretical basis for the Markov–Airy formalism is described, and its ability to precisely determine the dispersive characteristics of multilayer dielectric structures is demonstrated here. Exact expressions for the three lowest order phase derivatives for a dielectric mirror and waveguide are derived, and Markov–Airy-based numerical simulations of specific mirror designs are compared with results obtained with the conventional transition matrix formalism.
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U2 - 10.1364/JOSAA.36.000898
DO - 10.1364/JOSAA.36.000898
M3 - Article
C2 - 31045019
AN - SCOPUS:85065484378
VL - 36
SP - 898
EP - 909
JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision
JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision
SN - 1084-7529
IS - 5
ER -