Modeling second-harmonic generation by use of mode expansion

Maes, Björn; Bienstman, Peter; Baets, Roel

doi:10.1364/josab.22.001378

Cited by 19 publications

(17 citation statements)

References 13 publications

(16 reference statements)

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“…For more information we refer to (Bienstman and Baets 2001) for modeling of linear properties, and to (Maes et al 2005) for the SHG extension. The algorithm has been implemented in the freely available CAMFR package (Bienstman and Baets 2001).…”

Section: Eigenmode Expansion Methods (Eem)mentioning

confidence: 99%

Modeling comparison of second-harmonic generation in high-index-contrast devices

et al. 2008

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In this paper we model second-harmonic generation in a microphotonic structure using two different numerical methods. The proposed two-dimensional waveguide device is challenging as it incorporates a high-contrast grating, which instigates strong local enhancement but also radiation losses. The first simulation method extends the time-domain beam propagation method, whereas the second one builds upon frequency-domain eigenmode expansion. Good agreement between both tools is obtained for both the linear and nonlinear simulations

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Section: Eigenmode Expansion Methods (Eem)mentioning

confidence: 99%

Modeling comparison of second-harmonic generation in high-index-contrast devices

et al. 2008

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“…Nevertheless, if the simulated system possesses a rich short range spatial structure, the number of basis elements needed to reach a given accuracy may be large. On the other hand, the inclusion of nonlinear effects, although possible,531 is far from being trivial and introduces several drawbacks leading to a lower performance of the method.…”

Section: Modelling Pc and Disordered Systemsmentioning

confidence: 99%

Self‐Assembled Photonic Structures

et al. 2010

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Photonic crystals have proven their potential and are nowadays a familiar concept. They have been approached from many scientific and technological flanks. Among the many techniques devised to implement this technology self-assembly has always been one of great popularity surely due to its ease of access and the richness of results offered. Self-assembly is also probably the approach entailing more materials aspects owing to the fact that they lend themselves to be fabricated by a great many, very different methods on a vast variety of materials and to multiple purposes. To these well-known material systems a new sibling has been born (photonic glass) expanding the paradigm of optical materials inspired by solid state physics crystal concept. It is expected that they may become an important player in the near future not only because they complement the properties of photonic crystals but because they entice the researchers' curiosity. In this review a panorama is presented of the state of the art in this field with the view to serve a broad community concerned with materials aspects of photonic structures and more so those interested in self-assembly.

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“…(A closely related case is that of sum-frequency generation in a cavity resonant at the two frequencies being summed [40].) Second-harmonic generation in a doubly resonant cavity, with a resonance at both the pump and harmonic frequencies, has most commonly been analyzed in the low-efficiency limit where nonlinear down-conversion can be neglected [4,5,6,7,8,9], but down-conversion has also been included by some au-thors [1,2,3]. Here, we show that not only is downconversion impossible to neglect at high conversion efficiencies (and is, in fact, necessary to conserve energy), but also that it leads to a critical power where harmonic conversion is maximized.…”

Section: Introductionmentioning

confidence: 99%

?^(2) and ?^(3) harmonic generation at a critical power in inhomogeneous doubly resonant cavities

Rodríguez¹,

Soljačić²,

et al. 2007

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We derive general conditions for 100% frequency conversion in any doubly resonant nonlinear cavity, for both second-and third-harmonic generation via χ (2) and χ (3) nonlinearities. We find that conversion efficiency is optimized for a certain "critical" power depending on the cavity parameters, and assuming reasonable parameters we predict 100% conversion using milliwatts of power or less. These results follow from a semi-analytical coupled-mode theory framework which is generalized from previous work to include both χ (2) and χ (3) media as well as inhomogeneous (fully vectorial) cavities, analyzed in the high-efficiency limit where down-conversion processes lead to a maximum efficiency at the critical power, and which is verified by direct finite-difference time-domain (FDTD) simulations of the nonlinear Maxwell equations. Explicit formulas for the nonlinear coupling coefficients are derived in terms of the linear cavity eigenmodes, which can be used to design and evaluate cavities in arbitrary geometries.

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Modeling second-harmonic generation by use of mode expansion

Cited by 19 publications

References 13 publications

Modeling comparison of second-harmonic generation in high-index-contrast devices

Modeling comparison of second-harmonic generation in high-index-contrast devices

Self‐Assembled Photonic Structures

?^(2) and ?^(3) harmonic generation at a critical power in inhomogeneous doubly resonant cavities

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