Nonclassical-light generation in a photonic-band-gap nonlinear planar waveguide

Peřina, Jan; Sibilia, C.; Tricca, D.; Bertolotti, M.

doi:10.1103/physreva.70.043816

Cited by 14 publications

(22 citation statements)

References 13 publications

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“…(65) gives strength of the pump pulse and is determined from the incident pump power P p F along the formula in Eq. (45). We note that…”

Section: Second-subharmonic Generation With a Linear Corrugation mentioning

confidence: 80%

“…1) [40] is composed of two contributions; pump (or fundamental) electric-field amplitude E p (r, t) at frequency ω and second-subharmonic electric-field amplitude E s (r, t) at frequency ω/2; i.e. E = E p + E s .…”

Section: Cw Model Of the Nonlinear Interactionmentioning

confidence: 99%

“…The linear phase mismatch δ a is determined from the first equation in Eqs. (40) in the following form…”

Section: B Localization Of the Interacting Fieldsmentioning

confidence: 99%

“…The pump field that is only weakly squeezed for perfect quasi-phase matching can reach values of the principal squeeze variance λ pF around 0.8 assuming corrugation with parameters given by Eqs. (38) and (40). The pump field gets a considerable amount of energy from the second-subharmonic field and so typical values of the number N p F of pump photons leaving the waveguide can reach 10 6 ; i.e.…”

Section: Second-harmonic Generationmentioning

confidence: 99%

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Nonclassical Properties of Pulsed Second-Subharmonic Generation in Photonic-Band-Gap Structures

Peřina¹,

Haderka²,

Scalora³

2007

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, to Department of Defense, Washington Headquarters Services, Directorate for Information A waveguide made of LiNbO3 with a periodic linear corrugation on its surface is analyzed from the point of view of squeezed-light generation. It is shown that scattering of nonlinearly interacting optical fields caused by the corrugation improves efficiency of the nonlinear process under certain conditions. These conditions are found approximately analytically and confirmed numerically. The linear corrugation can be tuned both into the pump as well as second-subharmonic field in order to improve efficiency of the nonlinear process. The analysis provides a detailed understanding of the role of all parameters of the waveguide and this enables to specify optimum values of parameters to achieve the best values of squeezing. In pulsed regime the right choice of spectral modes is important to observe squeezing. These modes are found using the Bloch-Messiah reduction of the appropriate Green functions. 5a. CONTRACT NUMBER. Enter all contract numbers as they appear in the report, e.g. F33615-86-C-5169. 5b. GRANT NUMBER.Enter all grant numbers as they appear in the report, e.g. AFOSR-82-1234. 5c. PROGRAM ELEMENT NUMBER.Enter all program element numbers as they appear in the report, e.g. 61101A.5d. PROJECT NUMBER. Enter all project numbers as they appear in the report, e.g. 1F665702D1257; ILIR.5e. TASK NUMBER. Enter all task numbers as they appear in the report, e.g. 05; RF0330201; T4112.5f. WORK UNIT NUMBER. Enter all work unit numbers as they appear in the report, e.g. 001; AFAPL30480105. AUTHOR(S). Enter name(s) of person(s)responsible for writing the report, performing the research, or credited with the content of the report. The form of entry is the last name, first name, middle initial, and additional qualifiers separated by commas, e.g. Smith, Richard, J, Jr. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES).Self-explanatory. PERFORMING ORGANIZATION REPORT NUMBER.Enter all unique alphanumeric report numbers assigned by the performing organization, e.g. BRL-1234; AFWL-TR-85-4017-Vol-21-PT-2. SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES).Enter the name and address of the organization(s) financially responsible for and monitoring the work. SPONSOR/MONITOR'S ACRONYM(S).Enter, if available, e.g. BRL, ARDEC, NADC. SPONSOR/MONITOR'S REPORT NUMBER(S).Enter report number as assigned by the sponsoring/ monitoring agency, if available, e.g. BRL-TR-829; -215. Abstract Two-mode nonlinear interaction (second-harmonic and second-subharmonic generation) in a planar waveguide with a small periodic corrugation...

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“…(65) gives strength of the pump pulse and is determined from the incident pump power P p F along the formula in Eq. (45). We note that…”

Section: Second-subharmonic Generation With a Linear Corrugation mentioning

confidence: 80%

Section: Cw Model Of the Nonlinear Interactionmentioning

confidence: 99%

“…The linear phase mismatch δ a is determined from the first equation in Eqs. (40) in the following form…”

Section: B Localization Of the Interacting Fieldsmentioning

confidence: 99%

Section: Second-harmonic Generationmentioning

confidence: 99%

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Nonclassical Properties of Pulsed Second-Subharmonic Generation in Photonic-Band-Gap Structures

Peřina¹,

Haderka²,

Scalora³

2007

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“…Especially Bragg-reflection waveguides offer wide possibilities in this direction [34,35]. Also scattering on a periodic corrugation gives an additional term to nonlinear phase-matching conditions [36][37][38]. For this reason we need a tool that allows us to reach nonlinear phase matching conditions for an arbitrary photonic structure.…”

Section: Introductionmentioning

confidence: 99%

Pulsed-squeezed-light generation in a waveguide with second-subharmonic generation and periodic corrugation

Peřina

2013

Phys. Rev. A

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*Quantum pulsed second-subharmonic generation in a planar waveguide with a small periodic corrugation at the surface is studied. Back-scattering of the interacting fields on the corrugation enhances the nonlinear interaction giving larger values of squeezing. The problem of back-scattering is treated by perturbation theory, using the Fourier transform for non-dispersion propagation, and by numerical approach in the general case. Optimum spectral modes for squeezed-light generation are found using the Bloch-Messiah reduction. Improvement in squeezing and increase of numbers of generated photons are quantified for the corrugation resonating with the fundamental and secondsubharmonic field. Splitting of the generated pulse by the corrugation is predicted.

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Geometric phases for a three-level Λ -type system in one-dimensional photonic band gaps

Abdel‐Aty

2007

Appl. Phys. B

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Nonclassical-light generation in a photonic-band-gap nonlinear planar waveguide

Cited by 14 publications

References 13 publications

Nonclassical Properties of Pulsed Second-Subharmonic Generation in Photonic-Band-Gap Structures

Nonclassical Properties of Pulsed Second-Subharmonic Generation in Photonic-Band-Gap Structures

Pulsed-squeezed-light generation in a waveguide with second-subharmonic generation and periodic corrugation

Geometric phases for a three-level Λ -type system in one-dimensional photonic band gaps

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