1D Photonic Crystals with a Sawtooth Refractive Index

Preprint English OPEN
Morozov, G. V.; Sprung, D. W. L.; Martorell, J.;
(2013)
  • Subject: Physics - Optics
    arxiv: Physics::Optics

Exact analytical results (in terms of Bessel functions) for the bandgaps, reflectance, and transmittance of one-dimensional photonic crystals with a sawtooth refractive index profile on the period are derived for the first time. This extends a group of exactly solvable ... View more
  • References (10)

    [1] H. Rauh, G.I. Yampolskaya and S. V. Yampolskii, New J. Phys. 12, 073033 (2010).

    [2] S. Adachi, J. App. Phys. 58, R1-R29 (1985).

    [3] S. M. Wu and C. C. Shin, Phys. Rev. A 32, 3736-3738 (1985).

    [4] V. Urumov, Phys. Rev. A 38, 4863-4865 (1988).

    [5] A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).

    [6] D.W.L. Sprung, Hua Wu and J. Martorell, Am. J. Phys. 61, 1118-24 (1993).

    [7] M. Abramowitz and I.S. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964).

    [8] L.I. Schiff, Quantum Mechanics, third edition (McGrawHill, New York, 1968), eq. (34.10).

    [9] R.E. Langer, Phys. Rev. 51, 669-676 (1937).

    [10] T.M. Kalotas and A.R. Lee, Phys. Scripta 44, 313-320 (1991).

  • Related Organizations (1)
  • Metrics
Share - Bookmark