Enhanced generation of nondegenerate photon pairs in nonlinear metasurfaces

Matthew Parry; Andrea Mazzanti; Alexander Poddubny; Giuseppe Della Valle; Dragomir N. Neshev; Andrey A. Sukhorukov

doi:10.1117/1.AP.3.5.055001

Journals >Advanced Photonics >Volume 3 >Issue 5 >Page 055001 > Article

Advanced Photonics
Vol. 3, Issue 5, 055001 (2021)

Enhanced generation of nondegenerate photon pairs in nonlinear metasurfaces

Matthew Parry^1、2、*, Andrea Mazzanti^1、3, Alexander Poddubny^1、4、5, Giuseppe Della Valle^3、6, Dragomir N. Neshev^1、2, and Andrey A. Sukhorukov^1、2、*

Author Affiliations

¹Australia National University, Research School of Physics, Canberra, Australia

²ARC Centre of Excellence for Transformative Meta-Optical Systems, Canberra, Australia

³Politecnico di Milano, Dipartimento di Fisica, Milan, Italy

⁴ITMO University, Department of Physics, Saint Petersburg, Russia

⁵Ioffe Institute, Saint Petersburg, Russia

⁶Consiglio Nazionale delle Ricerche, Istituto di Fotonica e Nanotecnologie, Milan, Italy

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DOI: 10.1117/1.AP.3.5.055001 Cite this Article Set citation alerts

Matthew Parry, Andrea Mazzanti, Alexander Poddubny, Giuseppe Della Valle, Dragomir N. Neshev, Andrey A. Sukhorukov. Enhanced generation of nondegenerate photon pairs in nonlinear metasurfaces[J]. Advanced Photonics, 2021, 3(5): 055001 Copy Citation Text

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The MS and its modes. (a) Diagram of transverse phase matching. (b) MS design and the coordinate axes: θ is the polar and ϕ the azimuthal angle. (c) BIC wavelengths versus the gap between the two holes. (d) The dispersion for two quasi-BICs: (α) lower and (β) upper surfaces. Dotted white lines: two-BIC phase matching for λp=774.22 nm. (e), (f) Fields |E| of the two BICs.

Fig. 1. The MS and its modes. (a) Diagram of transverse phase matching. (b) MS design and the coordinate axes:

θ

is the polar and

ϕ

the azimuthal angle. (c) BIC wavelengths versus the gap between the two holes. (d) The dispersion for two quasi-BICs: (

α

) lower and (

β

) upper surfaces. Dotted white lines: two-BIC phase matching for

λ_{p} = 774.22 nm

. (e), (f) Fields

| E |

of the two BICs.

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SPDC at a single BIC. (a) Solid line: the generation rate for a horizontally polarized, normally incident pump, |HH⟩ signal and idler state, ϕ=79 deg and θs=0.2 deg for the signal, opposite angle for the idler. Dashed line: the product of the maximum intensity inside the resonator of the signal and idler fields. (b) Solid line: generation rate versus the pump wavelength. The red dot marks the wavelength used in (d) and Fig. 4. Dashed: ky at phase matching when kx=0. (c), (d) Generation rate in k-space for (c) phase matching at the Γ point and (d) for λp=774.43 nm. White dashed line: phase matching condition; black dashed line: the path of constant θs in Fig. 4(a).

Fig. 2. SPDC at a single BIC. (a) Solid line: the generation rate for a horizontally polarized, normally incident pump,

| H H ⟩

signal and idler state,

ϕ = 79 \deg

and

θ_{s} = 0.2 \deg

for the signal, opposite angle for the idler. Dashed line: the product of the maximum intensity inside the resonator of the signal and idler fields. (b) Solid line: generation rate versus the pump wavelength. The red dot marks the wavelength used in (d) and Fig. 4. Dashed:

k_{y}

at phase matching when

k_{x} = 0

. (c), (d) Generation rate in

k

-space for (c) phase matching at the

Γ

point and (d) for

λ_{p} = 774.43 nm

. White dashed line: phase matching condition; black dashed line: the path of constant

θ_{s}

in Fig. 4(a).

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Fig. 3. Nondegenerate signal and idler at different BICs. (a) Transverse phase matching condition according to Eq. (2). The dotted white line corresponds to

λ_{p} = 774.22 nm

. (b) Solid line: generation rate versus the pump wavelength. The red circle is the integration of (d). Dashed line:

k_{y}

at transverse phase matching when

k_{x} = 0

. (c), (d) Generation rate in

k

-space at (c) phase matching at the

Γ

point (

λ_{p} = 774.2165 nm

) and (d)

λ_{p} = 774.22 nm

. White dashed line: phase matching condition; black dashed line: the path of constant

θ_{s}

in Fig. 4(c).

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Fig. 4. Entanglement of the signal and idler photons generated from: (a), (b) a single BIC with

λ_{p} = 774.43 nm

; (c), (d) two different BICs with

λ_{p} = 774.2165 nm

. (a), (c) Schmidt number versus the photon angle. (b) Schmidt decomposition of the wavefunction plotted on the Poincaré sphere for the red dot in (a). (d) Schmidt number versus the pump polarization and photon angle.

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