Kramers-Krönig relations in nonlinear optics

Hutchings, D. C.; Sheik‐Bahae, Mansoor; Hagan, David J.; Stryland, Eric W. Van

doi:10.1007/bf01234275

Cited by 348 publications

(153 citation statements)

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“…Since the two-photon absorption governs the intensitydependent refractive index through nonlinear KramersKrönig relations, 37 the consideration just discussed predicts what kind of glass can show high optical nonlinearities. The best candidate will be the glass in which the two-photon absorption can occur between electronic states having the same parities in single atoms.…”

Section: ͑2͒mentioning

confidence: 99%

Two-photon optical absorption in PbO-SiO2 glasses

Tanaka

Yamada

Oto

2003

Applied Physics Letters

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Section: ͑2͒mentioning

confidence: 99%

Two-photon optical absorption in PbO-SiO2 glasses

Tanaka

Yamada

Oto

2003

Applied Physics Letters

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“…We note that these physical amounts are dependent between them, according to various theories and models proposed to explain them. For example, the refractive index and the absorption index are connected between them via the Kramer-Krönig relation (Hutchings et al, 1992). Moreover, the modern theories in physics define the complex refractive index by its real part, n, and imaginary part, k, as:…”

Section: Refractive and Absorption Index; Optical Band-gapmentioning

confidence: 99%

“…while the refractive index is correlated to the absorption coefficient via the Kramer-Krönig (Hutchings et al, 1992) relation:…”

Section: Refractive and Absorption Index; Optical Band-gapmentioning

confidence: 99%

Silicon Oxide (SiOx, 0&ltx&lt2): a Challenging Material for Optoelectronics

Tomozeiu¹

2011

Optoelectronics - Materials and Techniques

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“…In order to compute these expressions, the carrier-induced refractive index spectrum is determined from Kramers-Krönig's integral [21]. The -contribution to GV is also referred as the self-steeping effect in nonlinear optical fibers.…”

Section: A Optical Modelmentioning

confidence: 99%

Analysis of Timing Jitter in External-Cavity Mode-Locked Semiconductor Lasers

Mulet

Mørk

2006

IEEE J. Quantum Electron.

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Abstract-We develop a comprehensive theoretical description of passive mode-locking in external-cavity mode-locked semiconductor lasers based on a fully distributed time-domain approach. The model accounts for the dispersion of both gain and refractive index, nonlinear gain saturation from ultrafast processes, selfphase modulation, and spontaneous emission noise. Fluctuations of the mode-locked pulses are characterized from the fully distributed model using direct integration of noise-skirts in the phase-noise spectrum and the soliton perturbations introduced by Haus. We implement the model in order to investigate the performance of a MQW buried heterostructure laser. Results from numerical simulations show that the optimum driving conditions for achieving the shortest pulses with minimum timing jitter occur for large reverse bias in the absorber section at an optimum optical bandwidth limited by Gordon-Haus jitter.

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Kramers-Krönig relations in nonlinear optics

Cited by 348 publications

References 50 publications

Two-photon optical absorption in PbO-SiO2 glasses

Two-photon optical absorption in PbO-SiO2 glasses

Silicon Oxide (SiOx, 0&ltx&lt2): a Challenging Material for Optoelectronics

Analysis of Timing Jitter in External-Cavity Mode-Locked Semiconductor Lasers

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