Off-Axis Zigzag Parametric Oscillator for Nonlinear Wave Overlap

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Solution Overview

Problem

Non-collinearly phase matched parametric radiation devices suffer from poor overlap among mixing waves, leading to low conversion efficiency due to walkoff, diffraction, and absorption issues, particularly in generating Tera-Hertz waves using highly absorptive nonlinear optical materials.

Innovation Solution

An off-axis zigzag parametric oscillator design is implemented, where the pump laser beam is transmitted through a nonlinear optical material with side-wall reflections, allowing at least one parametrically generated wave to zigzag about the pump laser axis, and an output coupler is used to couple out the zigzag wave, enhancing wave overlap and conversion efficiency through total internal reflection or high-reflecting coatings, and optionally seeding or resonating the parametrically generated waves.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Length of stationary object

If non-collinear phase matching is used for parametric generation, then the laser frequency conversion can occur in thick nonlinear optical materials, but the overlap among mixing waves deteriorates leading to poor conversion efficiency

Engineering Contradiction:
Improvethickness of nonlinear optical materialVSAvoidconversion efficiency
Core Design Contradiction:
Length of stationary objectVSProductivity

Solution Approach 1:

The patent transitions from collinear propagation (one-dimensional overlap) to non-collinear propagation with zigzag paths (two-dimensional spatial distribution). By allowing the pump beam and parametric waves to propagate at angles to each other while maintaining phase matching through non-collinear geometry, the invention achieves both extended interaction length in thick crystals and sustained wave overlap through the angular configuration

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

Solution Approach 2:

The patent divides the thick nonlinear optical material into multiple coherence length segments along the propagation path. By configuring the zigzag geometry such that each segment maintains proper phase matching conditions, the overall conversion efficiency is improved while allowing use of thick materials that would otherwise be limited by a single coherence length

Inventive Principle:
Principle #1Segmentation

2Productivity

If collinear phase matching is used, then the overlap among mixing waves is maximized for best conversion efficiency, but only a limited spectral bandwidth and specific materials with adequate dispersion are available

Engineering Contradiction:
Improveconversion efficiencyVSAvoidspectral bandwidth and material selection
Core Design Contradiction:
ProductivityVSAdaptability or versatility

Solution Approach 1:

The patent changes the propagation geometry parameters from collinear to non-collinear configuration. By adjusting the angles between pump beam and parametric waves, and by utilizing zigzag propagation paths within the crystal, the invention achieves phase matching conditions that are not constrained by the strict material dispersion requirements of collinear geometry, thereby expanding spectral bandwidth and material options

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The invention moves from one-dimensional collinear phase matching to two-dimensional non-collinear phase matching with angular degrees of freedom. This additional spatial dimension provides flexibility in selecting materials and spectral bands, as the phase matching condition can be satisfied through angular adjustment rather than being strictly limited by material dispersion properties

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

3Length of stationary object

If the coherence length is extended in thick materials, then more material can be used for parametric generation, but absorption losses increase particularly for Tera-Hertz wave generation

Engineering Contradiction:
Improvecoherence lengthVSAvoidabsorption losses
Core Design Contradiction:
Length of stationary objectVSLoss of energy

Solution Approach 1:

The patent implements periodic zigzag reflections within the nonlinear optical material using parallel reflecting surfaces. This periodic path configuration allows the parametric waves to repeatedly traverse the same effective interaction length while physically distributing the path through reflections, thereby extending the effective coherence length without proportionally increasing the physical distance through highly absorptive material

Inventive Principle:
Principle #19Periodic action

Solution Approach 2:

By introducing transverse zigzag paths through reflections, the invention extends the effective interaction length in the propagation direction without proportionally increasing the path length through the absorptive material. The perpendicular distance between reflecting surfaces determines the effective coherence length, while the actual physical path can be optimized to minimize absorption

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

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

This design significantly improves the overlap and conversion efficiency of parametric radiation by allowing multiple reflections within the nonlinear material, maintaining non-collinear phase matching and extending the coherence length, even in thick materials, thereby enhancing Tera-Hertz wave generation and reducing absorption losses.

Implementation Method 1

A nonlinear process splitting one high-frequency input photon into several low-frequency output ones is called frequency down-conversion or parametric generation

Methodology Applied
Scientific EffectParametric generation:

Implementation Method 2

side-wall reflections, allowing at least one parametrically generated wave to zigzag about the pump laser axis in said material

Methodology Applied
Scientific EffectTotal internal reflection: Total Internal Reflection

Implementation Method 3

the wave-vector rule is relevant to material dispersion and the propagation directions of the mixing waves. Ideally, collinear phase matching (k3−k1−k2=0), where all the wave vectors are aligned collinearly in the gain medium, maximizes overlap among mixing waves

Methodology Applied
Scientific EffectPhase matching:

Implementation Method 4

a piece of quadratic nonlinear optical material 115 to generate the first frequency down converted radiation wave 125 with frequency ω1 and the second frequency down converted wave 120 with frequency ω2

Methodology Applied
Scientific EffectReflection: Reflection

Data Source

PatentUS9742145B1Off-axis zigzag parametric oscillator
Publication Date: 2017.08.22 NATIONAL TSING HUA UNIVERSITY
  • US9742145B1 patent drawing
  • US9742145B1 patent drawing
  • US9742145B1 patent drawing

AI summary

A high-efficiency non-collinearly phase matched parametric oscillator is provided, wherein a laser pumps a nonlinear optical material with a plural number of flat reflection surfaces that zigzag at least one parametrically generated off-axis radiation about the pump laser beam axis via multiple reflections from the surfaces. The off-axis zigzag oscillation of the radiation establishes parametric oscillation and improves energy coupling among mixing waves in a monolithic nonlinear optical material. Preferably the pump laser has a transverse beam size covering the area of the zigzagging parametrically generated radiation. To further enhance the performance of the off-axis zigzag parametric oscillator, the other parametrically generated radiation can be seeded by an external laser source or resonated in a cavity. The present invention also includes a double-side pumped off-axis zigzag parametric oscillator installed inside a standing-wave pump-laser cavity.