Circular cavity with an arbitrary varying dielectric constant

Authors

  • Н.К. Сахненко

Abstract

The problem of the whispering gallery mode transformation in a thin disk cavity due to the change in the time of the material dielectric constant is theoretically investigated. Under jump changes in refractive index, the running wave of the whispering gallery transforms into the superposition of the transmitted and reflected  resonator modes but their amplitudes are negligibly small in comparison with the amplitude of the wave the whispering gallery transmitted in time. In this case its frequency and amplitude changes. In the step-periodic time-varying medium it is possible to control the amplitude of the whispering gallery mode that, depending on the values of the parameters, speeds up or slows down the process of the radiation of modes. This effect increases with the increase in the modulation depth.

References

Heebner, J. Slow light, induced dispersion, enhanced nonlinearity, and optical solitons in a resonant-array waveguide // Phys. Rev. E. 2002. V. 65. 036619.

Yanik, M., Fan, S. Time Reversal of Light with Linear Optics and Modulators // Physical Review Letters. 2004. V. 93(7), 173903.

Morgenthaler, F.R. Velocity modulation of electromagnetic wave // IRE Trans. on Microwave Theory and Technique. 1958. V. 6. P. 167-172.

Fedotov, F., Nerukh, A.G., Benson , T.M., Sewell, P. Investigations of electromagnetic field in a layer with time-varying medium by Volterra integral equation method // J. of Lightwave Technology, vol. 21, No 1, pp.305-314, 2003.

Sakhnenko, N.K., Benson, T.M., Sewell, P., Nerukh, A.G.: Transient transformation of Whispering Gallery resonator modes due to time variations in dielectric permittivity // Optical and Quantum Electronics. 2006. V. 38. P. 71-81.

Notomi, M, Mitsugi, S: Wavelength conversion via dynamic refractive index tuning of a cavity // Physical Review A. 2006. V. 73. 051803(R).

Zurita-Sanchez, J., Halevi, P., Cervantes-Gonzales, J. Reflection and transmission of a wave incident on a slab with a time-periodic dielectric function e(t) // Physical Review A. 2009. V. 79. P. 0538211-13.

Smotrova, E. I., Nosich, A. I., Benson, T. M., Sewell, P.: Cold-cavity thresholds of microdisks with uniform and non-uniform gain: quasi-3D modeling with accurate 2D analysis // IEEE Journal of Selected Topics in Quantum Electronics. 2005. V. 11. P. 1135-1142.

How to Cite

Сахненко, Н. (2012). Circular cavity with an arbitrary varying dielectric constant. Radiotekhnika, 3(170), 79–85. Retrieved from http://rt.nure.ua/article/view/174955

Issue

Section

Articles