120
Views
3
CrossRef citations to date
0
Altmetric
Quantum Optics

Governing equations for 1D opto-mechanical vibrations of elastic cubical micro-resonators

&
Pages 767-773 | Received 27 Jun 2017, Accepted 21 Nov 2017, Published online: 28 Dec 2017

References

  • Braginsky, l; Khalili, F. In: Quantum Measurement: Thorne K. Ed.; Cambridge University Press: Cambridge, 1992.
  • Braginsky, V.; Strigin, S.; Vyatchanin, S.P. Parametric Oscillatory Instability in Fabry–Perot Interferometer. Phys. Lett. A 2001, 287, 331–338.10.1016/S0375-9601(01)00510-2
  • Braginsky, V.B.; Strigin, S.E.; Vyatchanin, S.P. Analysis of Parametric Oscillatory Instability in Power Recycled LIGO Interferometer. Phys. Lett. A 2002, 305, 111–124.10.1016/S0375-9601(02)01357-9
  • Sobhani, H.; Vaziri, M.; Rooholamininejad, H.; Bahrampour, A.. Terahertz twisted beams generation in plasma. The Euro. Phys. J. D 2016, 70 (8), 168.
  • Sobhani, H.; Rooholamininejad, H.; Bahrampour, A. Creation of Twisted Terahertz Waves Carrying Orbital Angular Momentum Via a Plasma Vortex. J. Phys. D Appl. Phys. 2016, 49, 295107.10.1088/0022-3727/49/29/295107
  • Sobhani, H.; Dehghan, M.; Dadar, E. Effect of Pump Depletion and Cross-Focusing on Twisted Terahertz Radiation Generation. Phys. Plasmas 2017, 24, 023110.10.1063/1.4976121
  • Sobhani, H. Generation of Twisted Terahertz Radiation by Transferring Orbital Angular Momentum From Static Plasma Vortex. EPL 2017, 119, 15001.10.1209/0295-5075/119/15001
  • Sobhani, H. Creation of Twisted Terahertz Carrying Orbital Angular Momentum via Stimulated Raman Scattering in a Plasma Vortex. Laser Phys. 2017, 27, 096001.10.1088/1555-6611/aa7f04
  • Sobhani, H. Twisted Terahertz Generation Carrying Angular Momentum in plasma Effective Factors. LAP LAMBERT Academic Publishing: Saarbrücken, 2017.
  • Sobhani, H.; Dadar, E.; Feili, S. Effective Factors on Twisted Terahertz Radiation Generation in a Rippled Plasma. J. Plasma Phys. 2017, 83, 655830101.
  • Rokhsari, H.; Kippenberg, T.; Carmon, T.; Vahala, K. Theoretical and Experimental Study of Radiation Pressure-Induced Mechanical Oscillations (Parametric Instability) in Optical Microcavities. IEEE J. Selected Topics Quant. Electron. 2006, 12, 96–107.10.1109/JSTQE.2005.862890
  • Kippenberg, T.; Rokhsari, H.; Carmon, T.; Scherer, A.; Vahala, K. Analysis of Radiation-Pressure Induced Mechanical Oscillation of an Optical Microcavity. Phys. Rev. Lett. 2005, 95, 325.10.1103/PhysRevLett.95.033901
  • Hossein-Zadeh, M.; Rokhsari, H.; Hajimiri, A.; Vahala, K.J. Characterization of a Radiation-Pressure-Driven Micromechanical Oscillator. Phys. Rev. A 2006, 74, 14.10.1103/PhysRevA.74.023813
  • Ma, R.; Schliesser, A.; Del’Haye, P.; Dabirian, A.; Anetsberger, G.; Kippenberg, T.J. Radiation-Pressure-Driven Vibrational Modes in Ultrahigh-Q Silica Microspheres. Opt. Lett. 2007, 32, 2200–2202.10.1364/OL.32.002200
  • Bahrampour, A.; Vahedi, M.; Abdi, M.; Ghobadi, R. Lagrangian Approach for Analysis of Radiation Pressure Induced Parametric Instability in Micro-Resonators. Phys. Lett. A 2008, 372, 6298–6300.10.1016/j.physleta.2008.08.046
  • Trimarco, C. The Structure of Material Forces in Electromagnetic Materials; Universitae Politecnico di Torino: Torino, 2000; p. 237.
  • Steinmann, P.; Maugin, G.A. Mechanics of Material Forces. Springer Science & Business Media: New York, 2006; Vol. 11.
  • Trimarco, C.; Maugin, G.A. Material Mechanics of Electromagnetic Solids. In Configurational Mechanics of Materials: Kienzler R., Maugin G.A. Eds.; Springer: Wien, 2001; pp. 129–171.
  • Trimarco, C. On the Material Energy-Momentum Tensor in Electrostatics and Magnetostatics. In Mechanics of Material Forces: Steinmann P., Maugin G.A. Eds.; Springer: Wien, 2005; pp. 161–171.
  • Trimarco, C. Total Kinetic Energy of an Electromagnetic Body. Philos. Mag. 2005, 85, 4277–4287.10.1080/14786430500363817
  • Maugin, G. A.; Trimarco, C. Note on a Mixed Variational Principle in Finite Elasticity. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 1992, 3, 69–74.
  • Maugin, G.; Trimarco, C. Pseudomomentum and Material Forces in Nonlinear Elasticity: Variational Formulations and Application to Brittle Fracture. Acta Mechan. 1992, 94, 1–28.10.1007/BF01177002
  • Maugin, G.A.; Trimarco, C. Elements of Field Theory in Inhomogeneous and Defective Materials. In Configurational Mechanics of Materials, Kienzler R., Maugin G.A. Eds.; Springer: Wien, 2001; pp. 55–128.
  • Trimarco, C. Material Electromagnetic Fields and Material Forces. Arch. Appl. Mech. 2007, 77, 177–184.10.1007/s00419-006-0056-2
  • Trimarco, C. Configurational Forces and Gauge Conditions in Electromagnetic Bodies. Int. J. Fracture 2007, 147, 13–19.10.1007/s10704-007-9120-3
  • Maugin, G.A. Material Inhomogeneities in Elasticity. CRC Press: Boca Raton, FL, 1993, Vol. 3.
  • Sadd, M.H. Elasticity: Theory, Applications and Numerics. Burlington, MA: Elsevier Academic Press, 2005; pp. 123–259.
  • Law, C. Interaction Between a Moving Mirror and Radiation Pressure: A Hamiltonian Formulation. Phys. Rev. A 1995, 51, 2537–2541.10.1103/PhysRevA.51.2537

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.