Passive Optical Polymers

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Passive devices are polymers that are non-electro optical materials. These polymers just transmit the light but they can be used for waveguides and filters for optical networks.

Passive Optical Polymers for Integrated Optical Devices -Properties and Requirements

The challenge with passive optical materials is match their physical characteristics with the requirements in applied devices.

Passive waveguide materials requirements

What is the perfect passive waveguide material?

• Low SM waveguide loss: 0.1 dB/cm. This this can be 10K less than the requirement for fiber because it operates over a very small distance.

• Low birefringence: 0.0002 – Lasers are well polarized but after a few meters of fiber the polarization becomes randomized. The material must not depend on polarization.

• Core/cladding system with good control over the refractive index providing for mode match to optical fiber

• Compatible with lithographic processes – We want to take advantage of knowledge and practices of semiconductor industry – lithographic process are quite scalable. As the volume goes up the price goes down.

• Environmental stability: These materials may be stored in extreme temperatures even if they are used in a controlled environement (Telcordia 1209, 1221 standards)

• Optical power handling > 23 dBm - (0dBm =1 mw, -dBM <1 mw, 23 dBM = 100 mw)

• Good moisture and chemical resistance

Polymer Optical Properties

• Refractive index n = 1.3-1.6
• dn/dT ~ 10^-4 - 10^-3 /°C
• Birefringence = 0 - 0.1 (small)
• Index tunability for optimal match to fiber. An 8 micron core must be perfectly matched or else there is extreme loss.
• UV optical properties (for photocured systems)

Polymer Thermomechanical Properties

• Glass transition(-40°C – 300°C)- it is good to get as high as possible before decomposition temperature.
• Susceptibility to solvents-
• Rheology/viscosity-
• Hard/rubbery( xlink density)
• Coefficient of thermal expansion (CTE) ~ 10-4 /oC
• Phase transitions near operating range- a disadvantage because they may may melt and become disordered.

Types of Optical polymers

Poly(methylmethacrylate)

Polymethacrylate (PMMA, also known as lucite) is a transparent polymer that has been used for waveguides. It is also used in glazing. Its’ Tg is about 100 ° C, which is a little low for some applications.

Teflon AF

Teflon AF is fully fluorinated. This helps eliminate hydrogen vibrational absorption in the 1000-2000 nm range. It also has a refractive index less than water, (n= 1.29) They are high molecular weight polymers (mw=10 5 to 10 6)

Halogenated UV acrylates

Halogenated UV acrylates are very light as monomers and don’t become polymers until the device is made.

Organically-modified sol-gels

Sol gels are related to the monomeric materials. They have organic and inorganic pieces to them.

There is a chemical route for production of glass-like material from metallo-organic precursors. They can be low-temperature processed but are more reliable and stable. They can be tuned by mixing and matching monomers. They can be photo-patterned.

Advantages:

• Low temperature processing (<250°C)
• Thick, multilayer film deposition
• Refractive index tuning (doping)
• High stability (due to inorganic network)
• Can be used to make low loss waveguides
• Photo-patternable (due to the organic element)
• Low cost manufacturing (spin coating and UV patterning)
• Compatible with heterogeneous integration
• Potential EO active doping

see Enami 2003

see Zhang 2005

Sol-gel waveguide materials

A sol-gel has an organic network (left) and an inorganic glass-like network (right)

A two-component sol-gel with methacryloyloxy propyltrimethoxysilane and zirconium(IV)-n-propoxide. The top component has an acrylate group that forms an organic network by photopolymerization.

On the (right) side is an inorganic or glass network built around silicon bonded to methoxy groups. In the sol-gel reaction these become OH groups, and Si-O bonds form essentially making glass. The zirconium propoxide is used to adjust the refractive index. By changing the fraction of the organic and inorganic components the refractive index can be adjusted

In waveguides A 95/5 molar ratio of methacryloyloxy propyltrimethoxysilane to zirconium(IV)-n-propoxide is used as a cladding; 85/15 is used for the sol-gel core over a useful range. The solution is hydrolyzed with 0.1 N HCl.

Polymers waveguides can push loss below 0.1 dB/cm

Over the last 25 years loss has improved greatly. This rate of improvement depends on the accumulated knowledge of many workers in the field.

The state of the art waveguide polymer now has loss below .1 dB/cm. We are now competitive with silica on silicon technology but at a much lower cost and is low temperature processable.

Absorption loss

Electronic absorption is neglible for passive materials. In electro-optic materials this kind of loss is significant. Electronic absorption – given by Urbach tail is usually neglible in the near infrared for passive materials.

<math>\alpha(\omega) = A exp[\sigma (\hbar \omega – \hbar \omega_0) / kT ]\,\!</math>

Vibrational absorption

A fundamental vibration such as carbon – hydrogen is not a problem however the higher harmonics of this vibrations leads to absorption.

Molecular vibrations essentially are high n states of an anharmonic oscillator. This is the dominant source of absorption loss in the near IR .

<math>E_0 \Rightarrow \sqrt \frac {k} {mu}\,\!</math>

<math>\mu = \frac {m_c m_x} {m_c + m_x}\,\!</math>

The energy of vibration of a spring like systems is proportional to the square root of the spring constant divided by μ the effective mass of the spring. If m_x is hydrogen and m_c is carbon then the carbons cancel out and the hydrogen becomes the dominant player.

Using halogen to substitute for hydrogen makes μ larger and therefore makes E₀ smaller.

Recall Beer’s law:

<math>P_{out}= P_{in}e^{-\alpha L}\,\!</math>

Reducing Absorption in polymers

Absorption Loss. Deuterium substituted carbons above, fluorinated bonds below.

One strategy to improve the absorption is to substitute hydrogen for a heavier version of hydrogen in order to decrease the vibrational energy. The graph shows that by replacing hydrogen with deuterium (upper graph), which is double the mass, does improve the performance at 1310 but this works against you 1350nm. By replacing H with a halogen you can get losses down to .005 dB/cm

See Eldada 1998

Key Strategies

• Most polymers absorb in near IR (1300 nm- 1600 nm)
• C-H and OH groups have overtones
• Replace hydrogen with fluorine to reduce overtones

Absorption spectrum of PMMA

To measure absorption you must have a large quantity of the polymer sample. A very pure polished 4.5 cm plug is prepared, measured with a spectrophotometer and absorbance is expressed as an absorption coefficient. This high quality sample of PMMA shows two vibrational peaks.

To convert absorption coefficient (α 1/cm) into decibals:

Loss (dB/cm) = :<math>4.34 \alpha\,\!</math>

See Norwood 1991

Transmission spectrum of Teflon® AF

A thinner sample of fluorinated polymer (Teflon® AF) containing no hydrogen has very low loss across the entire spectrum from 800nm to 2000 nm. This establishes the upper limit on loss at 1550 nm of 0.03 dB/cm. In this case a .3 cm sample was used and this makes the measurement less reliable than if a thicker sample had been used. This is 10-20 times less loss than PMMA value.

Slab loss of standard sol-gel at 1310nm

This shows the intensity of light (transmission) passing through an optical waveguide containing a standard sol-gel (containing hydrogen) as a function of pathlength. This shows a loss of 0.8 dB/cm.

Slab loss of fluorinated sol-gel at 1310nm

A partially fluorinated sol-gel shows higher transmission and a loss of 0.8 dB/cm. The greatest gains can be had by substituting all the hydrogen with halogens.

References

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