Why is BBO the most used crystal for second-order nonlinear optics?

In summary, BBO (Beta Barium Borate) is the most used crystal for second-order nonlinear optics due to its favorable properties, including a wide transparency range, high damage threshold, and efficient nonlinear optical coefficients. Its ability to support phase matching allows for effective frequency conversion processes, making it ideal for applications such as frequency doubling and parametric amplification. Additionally, BBO's availability and relatively low cost further contribute to its popularity in various optical applications.
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James2018
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TL;DR Summary
There are many nonlinear crystals that can be used for entangled photon generation and other second-order nonlinear frequency-mixing processes
In this software, SNLO https://as-photonics.com/products/snlo/, http://www.spdcalc.org/, you can see that Beta Barium Borate is not the only crystal capable of spontaneous parametric down-conversion, second-harmonic generation and sum frequency mixing and difference frequency mixing. In fact crystals like ammonium dihydrogen phosphate, potassium dihydrogen phosphate, lithium iodate https://opg.optica.org/oe/fulltext.cfm?uri=oe-19-11-10351&id=213837 and even urea crystals https://patents.google.com/patent/US4639923A/en are some crystals that can be used for SHG, OPO, SFG and DFG nonlinear processes.

Yet beta barium borate is the only crystal that is the most widely used and receives most attention. Can anyone explain to me why?
 
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You will likely get better answers from others, but since there were no replies yet, I did a Google search on your thread title, and this was the first hit on the list:

https://optics.org/products/P000022372

β-BBO Nonlinear Crystal—a widely used nonlinear crystal for frequency conversion in the ultraviolet, visible and near-infrared

As one of the most important nonlinear optical crystals, beta-barium borate (β-BaB2O4,β-BBO) combines many outstanding features such as its high nonlinear optical coefficients, low group-velocity dispersion, broad transparency range (189–3500 nm) and high damage threshold. This unique combination ensures β-BBO crystal a promising candidate for a wide range of nonlinear optical applications such as frequency converters and optical parametric oscillators. In the realm of quantum optics, β-BBO crystal can be used to generate entangled photon pairs and ten-photon entanglement.

BBO is a negative uniaxial crystal, which provides phase matching for various second-order interactions almost over its entire transparency range (from 185 nm to 3.3 µm, as deduced from the transmittance measurements using crystal samples of several mm thickness), making it a widely used crystal for nonlinear frequency conversion in the ultraviolet, visible and near-infrared. In that regard, BBO is the most important nonlinear crystal for near infrared optical parametric chirped pulse amplifiers, which currently deliver few optical cycle pulses with high average and ultrahigh peak powers.
 
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FAQ: Why is BBO the most used crystal for second-order nonlinear optics?

What makes BBO crystals suitable for second-order nonlinear optics?

BBO (Beta Barium Borate) crystals are highly suitable for second-order nonlinear optics due to their large nonlinear coefficient, wide phase-matching range, and high damage threshold. These properties enable efficient frequency doubling, mixing, and other nonlinear optical processes.

How does the phase-matching capability of BBO crystals contribute to their widespread use?

BBO crystals offer a wide phase-matching range, which allows them to be used for a variety of wavelengths from the UV to the IR spectrum. This versatility makes them ideal for applications requiring precise wavelength conversion and frequency mixing.

Why is the high damage threshold of BBO crystals important?

The high damage threshold of BBO crystals allows them to withstand high-intensity laser beams without degrading, making them suitable for high-power laser applications. This durability ensures long-term reliability and performance in demanding environments.

What role does the transparency range of BBO crystals play in their effectiveness?

BBO crystals have a broad transparency range, extending from approximately 190 nm to 3500 nm. This extensive range allows them to be used in various optical systems, including those operating in the UV, visible, and IR regions, enhancing their versatility and effectiveness.

How does the temperature stability of BBO crystals affect their performance?

BBO crystals exhibit good temperature stability, which is crucial for maintaining consistent nonlinear optical performance. This stability ensures that the crystal's properties remain unchanged over a wide temperature range, making them reliable for use in different environmental conditions.

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