Multipole Phase Beam Sorting via Circular-Sector Transformation

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Solution Overview

Problem

Existing spatial division multiplexing/demultiplexing technologies face challenges in achieving high-resolution and flexible demultiplexing/multiplexing of electromagnetic beams with multipole phase patterns, particularly in optical communications, where there is a need for efficient separation and minimization of cross-talk between channels.

Innovation Solution

A device utilizing a conformal mapping of circular-sector transformation is employed to transform multipole phase beams into linear phases, allowing for separation and sorting of beams with different phase strengths and orientations using a sequence of beam transformer and phase corrector elements, followed by a focusing element to achieve demultiplexing/multiplexing.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Quantity of substance

If conventional spatial division multiplexing is used, then bandwidth capacity is improved, but cross-talk between channels increases and demultiplexing resolution deteriorates

Engineering Contradiction:
Improvebandwidth capacityVSAvoiddemultiplexing resolution
Core Design Contradiction:
Quantity of substanceVSMeasurement precision

Solution Approach 1:

The invention segments the multiplexed beam into multiple spatial channels using a conformal mapping transformation that separates different multipole phase components into distinct spatial regions. The beam transformer divides the input beam carrying multiple OAM modes into separate output beams, each corresponding to a specific multipole phase component, thereby achieving high-resolution demultiplexing while maintaining high bandwidth capacity

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The conformal mapping transformation acts as an intermediary between the multiplexed input beam and the separated output channels. The beam transformer and phase corrector elements serve as intermediary optical components that facilitate the transformation from multipole phase domain to spatial domain, enabling clean separation of channels with minimal cross-talk

Inventive Principle:
Principle #24Intermediary (Mediator)

2Loss of information

If more multipole phase beams are multiplexed, then information capacity is improved, but cross-talk between channels increases

Engineering Contradiction:
Improveinformation capacityVSAvoidcross-talk between channels
Core Design Contradiction:
Loss of informationVSObject-generated harmful factors

Solution Approach 1:

The invention transforms the problem from the angular dimension (azimuthal phase gradients) to the spatial dimension by using conformal mapping. Different multipole phase beams that overlap in the angular domain are separated in the spatial domain, allowing high information capacity through multiplexing while minimizing cross-talk through spatial separation of channels

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

3Productivity

If log-pol conformal transformation is used, then demultiplexing efficiency is improved, but device complexity increases

Engineering Contradiction:
Improvedemultiplexing efficiencyVSAvoiddevice complexity
Core Design Contradiction:
ProductivityVSDevice complexity

Solution Approach 1:

The invention merges the beam transformer and phase corrector into a single integrated optical element or closely coupled configuration. The conformal mapping transformation combines multiple functions (phase modulation, beam shaping, and spatial separation) into a unified optical system, achieving high demultiplexing efficiency while managing device complexity through functional integration

Inventive Principle:
Principle #5Merging (Combining)

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

The solution enables high-resolution and flexible demultiplexing/multiplexing of multipole phase beams, reducing cross-talk to less than -15 dB and allowing for efficient use of graded-index fibers in data centers, with applications in optical and other electromagnetic wavelength ranges.

Implementation Method 1

one of the most efficient and exploited is based on the log-pol conformal transformation mapping between orbital angular momentum and linear momentum states: the azimuthal phase gradients of OAM beams are unwrapped into tilted plane waves

Methodology Applied
Scientific EffectConformal mapping:

Implementation Method 2

G. Ruffato, M. Girardi, M. Massari, P. Capaldo, G. Parisi, M. Zontin and F. Romanato, 'Demultiplexing of Orbital Angular Momentum Beams by diffractive optics'

Methodology Applied
Scientific EffectDiffraction: Diffraction

Implementation Method 3

the azimuthal phase gradients of OAM beams are unwrapped into tilted plane waves, which can be easily separated or focused by using a Fourier lens

Methodology Applied
Scientific EffectFourier transformation:

Implementation Method 4

which can be easily separated or focused by using a Fourier lens

Methodology Applied
Scientific EffectFocusing: Focusing

Implementation Method 5

G. Ruffato, P. Capaldo, M. Massari, E.Mafakheri and F.Romanato, 'Total angular momentum sorting in the telecom infrared with silicon Pancharatnam-Berry transformation optics'

Methodology Applied
Scientific EffectPancharatnam-Berry phase:

Data Source

PatentEP4193499B1Device for multipole phase division demultiplexing/multiplexing and spatial division telecommunications system thereof
Publication Date: 2025.10.15 UNIV DEGLI STUDI DI PADOVA
  • EP4193499B1 patent drawingFigure 1
  • EP4193499B1 patent drawingFigure 2
  • EP4193499B1 patent drawing

AI summary

It is disclosed a device for multipole phase division multiplexing and demultiplexing and a spatial division telecommunications system comprising the multiplexing and demultiplexing devices. The multipole phase demultiplexing device (10) comprises a cascade of a beam transformer (2) and a phase corrector (3), wherein the beam transformer (2) performs a circular-sector transformation of a plurality of multipole phase electromagnetic beams (F1_l, F2_l). The multipole phase multiplexing device (50) comprises a cascade of a beam transformer (52) and a phase corrector (53), wherein the beam transformer (52) performs a combination of \ m\ circular-sector transformations of a plurality of tilted electromagnetic beams (F1.1*, F2.1*).