Coupled-mode theory for general free-space resonant scattering of waves

Hamam, Rafif E.; Karalis, Aristeidis; Joannopoulos, John D.; Soljačić, Marin

doi:10.1103/physreva.75.053801

Cited by 138 publications

(157 citation statements)

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“…2,34,35,39,50 As a starting point, we "turn off" the radiation loss and absorption loss of the resonances, and the resonance amplitudes A j (j = 1, 2) evolve as…”

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confidence: 99%

Theoretical Criteria for Scattering Dark States in Nanostructured Particles

et al. 2014

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Nanostructures with multiple resonances can exhibit a suppressed or even completely eliminated scattering of light, called a scattering dark state. We describe this phenomenon with a general treatment of light scattering from a multi-resonant nanostructure that is spherical or non-spherical but subwavelength in size. With multiple resonances in the same channel (i.e. same angular momentum and polarization), coherent interference always leads to scattering dark states in the low-absorption limit, regardless of the system details. The coupling between resonances is inevitable and can be interpreted as arising from far-field or near-field. This is a realization of coupled- and interference effects. 5-9 A particularly interesting phenomenon is the suppressed scattering in nanostructures with multiple plasmonic resonances, [10][11][12][13][14][15][16][17][18][19][20][21][22][23] plasmonic and excitonic resonances, [24][25][26][27][28][29][30] or dielectric resonances, 31,32 referred to collectively as a "scattering dark state." A wealth of models has been employed to describe this suppressed scattering, ranging from perturbative models, 12 generalization of the Fano formula, 13-15 and electrostatic approximation, 22,23 to coupled-mechanical-oscillator models. 17-21 These models reveal valuable insights and facilitate the design of specific structures with desired line shapes. However, the general criteria for observing such scattering dark states remain unclear. Non-scattering states have been known in atomic physics since the early works of Fano 33 and have been discovered in a variety of nanoscale systems in recent years [5][6][7][8]34,35 . However, Fano resonances generally concern the interference between a narrow discrete resonance and a broad resonance or continuum. Meanwhile, many occurrences of the scattering dark state involve the interference between multiple narrow discrete resonances, and it seems necessary to treat the multiple resonances at equal footing. Thus, we seek a formalism analogous to the phenomenon of coupled-resonator-induced transparency 5 that has been established in certain other systems such as coupled mechanical oscillators 36,37 , coupled cavities 38,39 , coupled microring resonators [40][41][42][43][44] , and planar metamaterials [45][46][47][48] .Here, we derive the general equations governing the resonant light scattering from a spherical or a non-spherical but subwavelength obstacle, accounting for multiple resonances with low loss. Due to the spherical symmetry (or the small size) of the obstacle, different channels of the multipole fields are decoupled. We find that within each channel, n resonances always lead to n − 1 scattering dark states in the low-absorption limit. This universal result is independent of the radiative decay rates of the resonances, method of coupling (can be 3 near-field or far-field), nature of the resonances (can be plasmon, exciton, whispering-gallery, etc.), number of resonances, which of the multipole, TE or TM polarization, and other system det...

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“…2,34,35,39,50 As a starting point, we "turn off" the radiation loss and absorption loss of the resonances, and the resonance amplitudes A j (j = 1, 2) evolve as…”

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confidence: 99%

Theoretical Criteria for Scattering Dark States in Nanostructured Particles

et al. 2014

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“…For example, in Ref. [5] wireless power transfer between coils over 2 meters distance with a maximum 40% efficiency was reported. But the frequencies of such a power transfer exceed 10MHz, which may be costly in designing such a high frequency power source.…”

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“…where Z in is the input network impedance and Г in , Г L are the reflection coefficients given by (5).…”

Section: Efficiency Calculation Of the Wireless Power Transfer Systemmentioning

confidence: 99%

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Analysis of Wireless Power Transfer by Coupled Mode Theory (CMT) and Practical Considerations to Increase Power Transfer Efficiency

Alexey¹,

Sul²

2012

Wireless Power Transfer - Principles and Engineering Explorations

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“…1 provides such examples. Utilizing higher-order resonances [21][22][23][24] is also a possible direction, provided that one can keep the lower-order broadband resonances out of the visible spectrum. The same FOM and optimization procedure can be applied in these explorations.…”

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confidence: 99%

Transparent displays enabled by resonant nanoparticle scattering

et al. 2014

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The ability to display graphics and texts on a transparent screen can enable many useful applications. Here we create a transparent display by projecting monochromatic images onto a transparent medium embedded with nanoparticles that selectively scatter light at the projected wavelength. We describe the optimal design of such nanoparticles, and experimentally demonstrate this concept with a blue-color transparent display made of silver nanoparticles in a polymer matrix. This approach has attractive features including simplicity, wide viewing angle, scalability to large sizes and low cost.

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Coupled-mode theory for general free-space resonant scattering of waves

Cited by 138 publications

References 6 publications

Theoretical Criteria for Scattering Dark States in Nanostructured Particles

Theoretical Criteria for Scattering Dark States in Nanostructured Particles

Analysis of Wireless Power Transfer by Coupled Mode Theory (CMT) and Practical Considerations to Increase Power Transfer Efficiency

Transparent displays enabled by resonant nanoparticle scattering

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