Zone diagram formation of photon and phonon crystals
DOI:
https://doi.org/10.20535/RADAP.2015.63.119-126Keywords:
photon crystal, phonon crystal, zone diagram, input impedanceAbstract
Inroduction. Photon and phonon crystals are crystal structures, which just like the crystals, are characterized by zone spectral properties. The purpose of the article is to research the input impedance characteristics and formation features of the photon and phonon crystals’ zone diagrams.Impedance model and properties of unlimited crystal structure. The expressions for input impedance of unlimited one-dimensional crystal structure for waves of different nature are presented. The relationships of physical properties of the crystal structure and the mathematical features of the expressions are investigated.
Impedance characteristics of photon and phonon unlimited crystals. The dependences of active and reactive components of photon and phonon unlimited crystal’s input impedance with layers of different thickness are shown.
Input impedance characteristics of photon and phonon limited crystals. The dependences of active and reactive components of limited photon and phonon crystal’s input impedance are given. The conditions for waves resonant passing through photon and phonon crystals are obtained.
Reflection coefficient characteristics of photon and phonon crystals. The formation of the limited photon and phonon crystal’s zone diagrams is analyzed by mutual comparison of limited photon and phonon crystal’s reflection characteristic and active component of unlimited photon and phonon crystal’s input impedance characteristics. The approximation degree of limited photon and phonon crystal’s zone diagram parameters to the unlimited photon and phonon crystal’s zone diagram parameters is quantitatively analyzed.
Conclusions. The conditions for waves resonant passing through photon and phonon crystals is formulated and features of photon and phonon crystal’s zone diagram formation is investigated.
References
Joannopoulos. J. D., Johnson S. G., Winn J. N. and Meade R. D. (2008) Photonic Crystals: Molding the Flow of Light, Princeton and Oxford: Princeton University Press, 286 p.
Massaro A. ed. (2012) Photonic Crystals – Introduction, Applications and Theory, InTech Publisher, 356 p.
Olsson III R. H. and El-Kady I. (2009) Microfabricated phononic crystal devices and applications, Meas. Sci. Tech., Vol. 20, No. 1, pp. 012002.
Khelif A. and Adibi A., eds. (2015) Phononic Crystals: Fundamentals and Applications, N. Y., Springer, 268 р.
Markos P. and Soukoulis C. M. (2008) Wave Propagation From Electrons to Photonic Crystals and Left-Handed Materials. Princeton and Oxford: Princeton University Press, 352 p.
Nelin E. A. (2009) Impedance Characteristics of Crystal-like Structures. Tech. Phys., vol. 54, no. 7, pp. 953-957.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
