---
title: "SHG Phase-Matching Angle (BBO) calculator — AperiOptic"
description: "Type-I ooe phase-matching angle in BBO for fundamental λ. Free online optics calculator, with the formula and code snippets."
url: "https://aperioptic.com/calculators/shg-phase-matching-angle-bbo"
---

# SHG Phase-Matching Angle (BBO) calculator

Type-I ooe phase-matching angle in BBO for fundamental λ.

Category: [Nonlinear Optics](https://aperioptic.com/calculators)

Formula: `sin²θ = (no(ω)⁻² - no(2ω)⁻²)/(ne(2ω)⁻² - no(2ω)⁻²)`

## Inputs

| Input | Parameter | Unit | Default |
| --- | --- | --- | --- |
| Fund. λ | `lam` | nm | 1064 |

## Result with the default inputs

- θ_pm: 22.782 °
- n_o(ω): 1.6545

Open it with your own values: put each input in the address as a parameter, for example [`/calculators/shg-phase-matching-angle-bbo?lam=1064`](https://aperioptic.com/calculators/shg-phase-matching-angle-bbo?lam=1064). A unit other than the listed one goes in `<parameter>_unit`.

Read more: [Wikipedia: Nonlinear optics, Phase matching](https://en.wikipedia.org/wiki/Nonlinear_optics#Phase_matching)

[All optics calculators](https://aperioptic.com/calculators)

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The interactive page: https://aperioptic.com/calculators/shg-phase-matching-angle-bbo (AperiOptic runs in the browser; free, no account). Every page of the site as Markdown: https://aperioptic.com/llms.txt