Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Optical force density in waveguides with broken symmetry

Farhan I. Zahin, Tasin Intisar, Li-Fan Yang, and Kevin J. Webb*

  • *Contact author: webb@purdue.edu

Phys. Rev. A 113, 043521 – Published 23 April, 2026

DOI: https://doi.org/10.1103/p47v-wpf9

Abstract

We investigate the optical force and torque density in relation to the symmetry of dielectric waveguides and reveal a net transverse bulk force associated with eigenmode asymmetry. An estimate of this force under readily realizable conditions indicates that the effect is testable with commonly available equipment. Upon experimental verification, force regulation based on asymmetry could provide a foundation for the optomechanical control of waveguide systems, thereby impacting various optical device technologies, including switches, couplers, and isolators, which would be useful in integrated optical systems.

Physics Subject Headings (PhySH)

Article Text

References (50)

  1. J. W. Goodman, Speckle Phenomena in Optics: Theory and Applications (Roberts and Company, Greenwood Village, CO, 2007).
  2. K. Pearson, The problem of the random walk, Nature (London) 72, 342 (1905).
  3. J.-H. Li, K. J. Webb, G. J. Burke, D. A. White, and C. A. Thompson, Design of near-field irregular diffractive optical elements by use of a multiresolution direct binary search method, Opt. Lett. 31, 1181 (2006).
  4. M. Yang, H. Chen, K. J. Webb, S. Minin, S. L. Chuang, and G. R. Cueva, Demonstration of mode conversion in an irregular waveguide, Opt. Lett. 31, 383 (2006).
  5. C. M. Bender and S. Boettcher, Real spectra in non-Hermitian Hamiltonians having PT symmetry, Phys. Rev. Lett. 80, 5243 (1998).
  6. A. Ruschhaupt, F. Delgado, and J. Muga, Physical realization of PT-symmetric potential scattering in a planar slab waveguide, J. Phys. A 38, L171 (2005).
  7. A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides, Observation of PT-symmetry breaking in complex optical potentials, Phys. Rev. Lett. 103, 093902 (2009).
  8. P. Lebedew, Untersuchungen über die Druckkräfte des Lichtes, Ann. Phys. (Leipzig) 311, 433 (1901).
  9. E. F. Nichols and G. F. Hull, The pressure due to radiation (second paper), Phys. Rev. (Series I) 17, 26 (1903).
  10. P. W. Milonni and R. W. Boyd, Momentum of light in a dielectric medium, Adv. Opt. Photon. 2, 519 (2010).
  11. K. J. Webb, Relationship between the Einstein-Laub electromagnetic force and the Lorentz force on free charge, Phys. Rev. B 94, 064203 (2016).
  12. L.-F. Yang and K. J. Webb, Pushing and pulling optical pressure control with plasmonic surface waves, Phys. Rev. B 103, 245124 (2021).
  13. K. J. Webb and Shivanand, Negative electromagnetic plane-wave force in gain media, Phys. Rev. E 84, 057602 (2011).
  14. M. Mansuripur, A. R. Zakharian, and E. M. Wright, Electromagnetic-force distribution inside matter, Phys. Rev. A 88, 023826 (2013).
  15. R. V. Jones and B. Leslie, The measurement of optical radiation pressure in dispersive media, Proc. R. Soc. London A 360, 347 (1978).
  16. A. Ashkin and J. Dziedzic, Radiation pressure on a free liquid surface, Phys. Rev. Lett. 30, 139 (1973).
  17. L.-F. Yang, A. Datta, Y.-C. Hsueh, X. Xu, and K. J. Webb, Demonstration of enhanced optical pressure on a structured surface, Phys. Rev. Lett. 122, 083901 (2019).
  18. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, Observation of a single-beam gradient force optical trap for dielectric particles, Opt. Lett. 11, 288 (1986).
  19. P. Polimeno, A. Magazzu, M. A. Iati, F. Patti, R. Saija, C. D. E. Boschi, M. G. Donato, P. G. Gucciardi, P. H. Jones, G. Volpe, and O. M. Marago, Optical tweezers and their applications, J. Quant. Spectrosc. Radiat. Transf. 218, 131 (2018).
  20. M. Dienerowitz, M. Mazilu, and K. Dholakia, Optical manipulation of nanoparticles: a review, J. Nanophoton. 2, 021875 (2008).
  21. F. Marquardt, A. Clerk, and S. Girvin, Quantum theory of optomechanical cooling, J. Mod. Opt. 55, 3329 (2008).
  22. M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
  23. B.-B. Li, L. Ou, Y. Lei, and Y.-C. Liu, Cavity optomechanical sensing, Nanophotonics 10, 2799 (2021).
  24. L. K. Chin, Y. Shi, and A.-Q. Liu, Optical forces in silicon nanophotonics and optomechanical systems: Science and applications, Adv. Dev. Instrum. 2020, 1964015 (2020).
  25. J. Ma and M. L. Povinelli, Effect of periodicity on optical forces between a one-dimensional periodic photonic crystal waveguide and an underlying substrate, Appl. Phys. Lett. 97, 151102 (2010).
  26. J. Ma and M. L. Povinelli, Mechanical Kerr nonlinearities due to bipolar optical forces between deformable silicon waveguides, Opt. Express 19, 10102 (2011).
  27. P. T. Rakich, P. Davids, and Z. Wang, Tailoring optical forces in waveguides through radiation pressure and electrostrictive forces, Opt. Express 18, 14439 (2010).
  28. J. Roels, I. De Vlaminck, L. Lagae, B. Maes, D. Van Thourhout, and R. Baets, Tunable optical forces between nanophotonic waveguides, Nat. Nanotechnol. 4, 510 (2009).
  29. M. L. Povinelli, S. G. Johnson, M. Lončar, M. Ibanescu, E. J. Smythe, F. Capasso, and J. Joannopoulos, High-Q enhancement of attractive and repulsive optical forces between coupled whispering-gallery-mode resonators, Opt. Express 13, 8286 (2005).
  30. X. Yang, Y. Liu, R. F. Oulton, X. Yin, and X. Zhang, Optical forces in hybrid plasmonic waveguides, Nano Lett. 11, 321 (2011).
  31. M. L. Povinelli, M. Lončar, M. Ibanescu, E. J. Smythe, S. G. Johnson, F. Capasso, and J. D. Joannopoulos, Evanescent-wave bonding between optical waveguides, Opt. Lett. 30, 3042 (2005).
  32. A. Einstein and J. Laub, Über die im elektromagnetischen Felde auf ruhende Körper ausgeübten ponderomotorischen Kräfte, Ann. Phys. 331, 541 (1908).
  33. K. J. Webb, Dependence of the radiation pressure on the background refractive index, Phys. Rev. Lett. 111, 043602 (2013).
  34. I. Brevik, Experiments in phenomenological electrodynamics and the electromagnetic energy-momentum tensor, Phys. Rep. 52, 133 (1979).
  35. S. M. Barnett and R. Loudon, On the electromagnetic force on a dielectric medium, J. Phys. B 39, S671 (2006).
  36. B. Anghinoni, M. Partanen, and N. G. Astrath, The microscopic Ampère formulation for the electromagnetic force density in linear dielectrics, Eur. Phys. J. Plus 138, 1034 (2023).
  37. K. J. Webb, Boundary condition for the optical force density, Phys. Rev. B 106, 155423 (2022).
  38. A. W. Behnke, T. J. Pollei, and K. J. Webb, Einstein-Laub and Lorentz optical force densities with a planar interface, Phys. Rev. A 108, 033708 (2023).
  39. F. I. Zahin, A. W. Behnke, T. J. Pollei, and K. J. Webb, Spatiotemporal force-density evolution in resonant structures with ultrafast optics, Phys. Rev. A 111, 023514 (2025).
  40. J. D. Jackson, Poynting's theorem and conservation of energy and momentum for a system of charged particles and electromagnetic fields, in Classical Electrodynamics, 3rd ed. (Wiley, New York, 1999), Chap. 6.7, pp. 258.
  41. J. P. Gordon, Radiation forces and momenta in dielectric media, Phys. Rev. A 8, 14 (1973).
  42. COMSOL Multiphysics® v. 6.2, www.comsol.com. COMSOL AB, Stockholm, Sweden.
  43. O. A. Bauchau and J. I. Craig, Structural Analysis: With Applications to Aerospace Structures (Springer Science & Business Media, Dordrecht, 2009), Vol. 163.
  44. A. Sánchez-Postigo, J. G. Wangüemert-Pérez, J. Soler Penadés, A. Ortega-Moñux, M. Nedeljkovic, R. Halir, F. El Mokhtari Mimun, Y. Xu Cheng, Z. Qu, A. Z. Khokhar, A. Osman, W. Cao, G. C. Littlejohns, P. Cheben, G. Z. Maschanovich, and Í. Molina-Fernández, Mid-infrared suspended waveguide platform and building blocks, IET. Optoelectron. 13, 55 (2019).
  45. E. P. Tomasini and P. Castellini, Laser Doppler Vibrometry (Springer, Berlin, 2020).
  46. T. J. Pollei, A. W. Behnke, and K. J. Webb, Direct extraction of surface vibration profiles with optical beam deflection, Rev. Sci. Instrum. 97, 025212 (2026).
  47. L. K. Sørensen, V. S. Gerasimov, S. V. Karpov, and H. Ågren, Development of discrete interaction models for ultra-fine nanoparticle plasmonics, Phys. Chem. Chem. Phys. 26, 24209 (2024).
  48. V. I. Zakomirnyi, Z. Rinkevicius, G. V. Baryshnikov, L. K. Sørensen, and H. Ågren, Extended discrete interaction model: plasmonic excitations of silver nanoparticles, J. Phys. Chem. C 123, 28867 (2019).
  49. T. Feurer, N. S. Stoyanov, D. W. Ward, J. C. Vaughan, E. R. Statz, and K. A. Nelson, Terahertz polaritonics, Annu. Rev. Mater. Res. 37, 317 (2007).
  50. K. J. Webb, L.-F. Yang, F. I. Zahin, and T. Intisar, Data: Optical force density in waveguides with broken symmetry, Purdue University Research Repository (PURR) (2026), https://doi.org/10.4231/WJ6N-7F27.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation