US 12,710,587 B2Granted

Frequency-domain arbitrary linear transformations for photons

AssigneeThe Board of Trustees of the Leland Stanford Junior University

InventorsSiddharth Buddhiraju, Avik Dutt, Momchil Minkov, Ian A.D. Williamson, Shanhui Fan

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Abstract

One or more optical resonators are coupled to an optical waveguide in sequence. Each of the resonators includes a corresponding modulator. A signal controller is configured to electrically drive each modulator with a corresponding composite electrical signal. Each composite electrical signal includes two or more frequency components of a frequency comb defined by the one or more resonators. The result of this configuration is that an input-output relation between an input of the waveguide and an output of the waveguide is a linear transformation defined by the composite electrical signals using frequencies of the frequency comb as a basis. Such linear transformations can be reciprocal or non-reciprocal, unitary or non-unitary.

Claims10

Dependent claims

Apparatus comprising:

one or more resonators coupled to a waveguide in sequence;
wherein each of the one or more resonators includes a corresponding modulator;
wherein Nf is a number of frequency components, wherein Nf>1, wherein ΩR is a free spectral range of a frequency comb defined by the one or more resonators, wherein θl is a phase of an l-th frequency component, and wherein Al is an amplitude of an l-th frequency component;
a signal controller configured to electrically drive each modulator with a corresponding composite electrical signal
∑
l
=
1
N
f
A
l
⁢
cos
⁡
(
l
⁢
Ω
R
⁢
t
+
θ
l
)
;
whereby an input-output relation between an input of the waveguide and an output of the waveguide is a linear transformation defined by the composite electrical signals using frequencies of the frequency comb as a basis.

25 more elements

Dependencies are inferred from the claim text.

Facts

Application: 18/022,228Filed 31 Aug 2021 · us provisional application
Priority: 31 Aug 2020
Published: US 2023/0324607 A112 Oct 2023
Granted: 18 Aug 2026
Term ends: Not estimatedThe source records don’t support an estimate.

Classification12 codes

G02B 6/1225
Basic optical elements, e.g. light-guiding paths: comprising photonic band-gap structures or photonic lattices
G02B 6/12004
Of the integrated circuit kind: combinations of two or more optical elements
G02B 6/29338
Evanescent coupling to a resonator cavity, i.e. between a waveguide mode and a resonant mode of the cavity: loop resonators
G02F 1/025
Based on semiconductor elements having potential barriers, e.g. having a PN or PIN junction: in an optical waveguide structure