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04 / 04   Deposition & verification

Application note

Manufacturing and Verifying Thin-Film Filters

Connect deposition, in-situ monitoring, adaptive refinement, and final optical and mechanical acceptance.

A deposited filter must reproduce both its spectral response and its physical form. Thickness control matters, but so do optical constants, contamination, spatial uniformity, stress, and environmental stability. The coating design, deposition process, and acceptance metrology therefore need a shared definition of what constitutes a usable part.

Select the growth process

Evaporation and sputtering are physical vapor deposition methods. Sputtering uses energetic ions to release material from a target; DC, pulsed DC, AC, and RF are excitation choices suited to different targets and reactive processes. Chemical vapor deposition uses chemical reactions, while atomic layer deposition uses sequential, self-limiting surface reactions.

Process selection balances material compatibility, density, absorption, stress, uniformity, deposition rate, and substrate limits. Optical constants and layer rates should be characterized under representative process conditions rather than assumed from material names.

Observe growth in complementary ways

A quartz crystal monitor (QCM) infers deposited mass from a resonant-frequency change. Density and acoustic corrections convert that signal to thickness; a tooling calibration relates the crystal location to the workpiece. Rate feedback, including PID where appropriate, is a separate control choice.

An optical monitor measures evolving transmission or reflection through chamber windows, either on the workpiece or a representative witness. Single-wavelength measurements track a designed endpoint; broadband spectra provide more information for estimating thickness and diagnosing drift. Witness behavior must remain correlated with the coated parts.

A coating chamber uses separate quartz mass monitoring, optical witness measurements, and deposition controls.

View diagram at full size

Terminate layers and manage drift

A turning point is an intensity maximum or minimum where the monitoring trace reverses slope. Quarter-wave and multiple-quarter-wave structures can provide convenient extrema at a selected wavelength. This is not a sudden phase jump, and arbitrary layer designs require other endpoint strategies.

A computed single-layer reflectance trace reverses slope at extrema as thickness grows.

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At approximately constant rate vv, an effective stopping delay τ\tau adds:

Δd=vτ,Δδ=2πnΔdλ\Delta d=v\tau,\qquad \Delta\delta=\frac{2\pi n\Delta d}{\lambda}

The second expression is the one-way phase-thickness error at normal incidence. A predictable delay can be compensated in the endpoint strategy; rate drift and noise still require evaluation.

Understand what a turning point can reveal

As a transparent layer grows, the returning field rotates in phase and the detected intensity rises or falls. In an ideal quarter-wave monitoring sequence, the chosen endpoint coincides with an extremum. Near that extremum the first derivative of intensity with thickness is zero, so a single noisy intensity sample has limited thickness sensitivity. Trace fitting, sampling cadence, calibrated delays, and the response of the layers already deposited affect the endpoint estimate.

An arbitrary non-QW layer may end away from an extremum. Its monitor wavelength, signal target, broadband fit, or combined optical/QCM strategy must be designed accordingly. The same growing layer can produce different traces at different wavelengths. The plot illustrates the interference mechanism rather than a universal coater waveform.

Measured spectra can also support remaining-layer reoptimization: estimate the deposited structure, hold it fixed, and adjust future layers within feasible bounds. This may recover an acceptable response, but cannot remove material already deposited. Several thickness-error combinations can explain similar spectra, so uncertainty and model ambiguity limit the correction.

Adaptive deposition fixes the completed layers, estimates their uncertainty, and refines only the remaining recipe.

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Choose a recovery cadence and preserve feasible corrections

For a 200-layer design, a checkpoint after layer 10 leaves 190 layers available for correction; after layer 20, 180 remain. The useful measurement cadence depends on observability, cycle time, and spectral sensitivity rather than a universal interval.

A recovery loop compares measured and predicted spectra, estimates only supported process parameters, and propagates their uncertainty. It then refines the remaining layer thicknesses, checks the predicted response and manufacturing bounds, and releases a revised continuation recipe. Independent material information or accumulated monitoring history can help distinguish index drift from thickness error. A witness that does not represent the workpiece can lead the correction in the wrong direction.

Preserve form and verify usable parts

Coating stress can bend the substrate and introduce surface form error (SFE). A backside stress-balancing AR coating can reduce that bending while controlling rear-surface reflection. Balance depends on stress times thickness, not equal coating thickness alone. Improved flatness does not automatically improve transmitted wavefront error: coating nonuniformity and optical phase also contribute.

Stress balancing, wavefront verification, and spatial spectral mapping address different aspects of final filter acceptance.

View diagram at full size

Map spectral performance over the clear aperture using the specified wavelength resolution, angle, and polarization. Verify surface quality, form, wavefront, and required durability. Measure transmitted or reflected wavefront at the use wavelength and angle, or apply a validated conversion from the test conditions. Wafer-based production can use these maps before singulation, followed by final inspection; individually coated optics follow their own acceptance route.

Estimate bow from stress-thickness balance

For a thin uniform coating on an isotropic elastic substrate, define signed stress-thickness S=∑jσjtjS=\sum_j\sigma_jt_j in N/m, with tensile stress positive on either face. Let SfS_f and SbS_b denote the front and back totals. The thin-film Stoney approximation gives the change in curvature:

Δκ=6(Sf−Sb)Msts2,Ms=Es1−νs\Delta\kappa=\frac{6(S_f-S_b)}{M_st_s^2},\qquad M_s=\frac{E_s}{1-\nu_s}

Here tst_s is substrate thickness and MsM_s its biaxial modulus. Equal signed stress-thickness on opposite faces cancels ideal bending; opposite signs can reinforce it. For an initially flat, free plate and small slopes, the center-to-rim sag magnitude across diameter DD is approximately ∣Δκ∣D2/8|\Delta\kappa|D^2/8.

This estimate assumes coatings much thinner than the substrate, uniform equibiaxial stress, and negligible film bending stiffness. It does not predict adhesion, fracture, mounted deformation, or optical wavefront error. Spatially varying coatings and anisotropic substrates require a more complete model.

Iris Optics can develop monitoring and acceptance methods that connect spectral performance, surface form, and measurement capability, helping teams distinguish process drift from measurement artifacts and identify usable parts.

Explore the coating

Watch the optical signal as one layer grows

Follow ideal reflectance and transmittance at one monitoring wavelength as a first dielectric layer is deposited.

Current reflectance
23.751 %
Current transmittance
76.249 %
One QWOT physical thickness
65.476 nm
Current single-pass phase
1.5708 rad

The curves are calculated optical signals, not a simulated coater. An intensity extremum has low local thickness sensitivity, so termination also depends on trend fitting, calibration, signal quality and timing.

Watch the optical signal as one layer grows: interactive plotPower at monitoring wavelength / % against Deposited physical thickness / nm. Reflected monitoring signal; Transmitted monitoring signal; Current reflected signal.-41.9011025261.950413.875565.7100Deposited physical thickness / nmPower at monitoring wavelength / %
Reflected monitoring signalTransmitted monitoring signalCurrent reflected signal
Formula & assumptions

Single-pass phase δ = 2πnd/λmonitor. QWOT thickness = λmonitor/(4n). In this simple lossless first-layer case, signal extrema occur at quarter-wave increments when the interfaces provide nonzero modulation.

Normal incidence, constant index, single layer on a semi-infinite substrate. The plot shows an eight-QWOT window around the entered thickness, starting at zero for early growth. This keeps individual fringes resolved. The plotted intensity reverses slope at an extremum; it does not undergo a discontinuous phase flip. Near an extremum the first-order thickness sensitivity is low. Equal-index interfaces can remove modulation altogether. A multilayer monitoring strategy requires its own calculated trace, wavelength, witness geometry and termination algorithm. No rate or shutter controller is simulated.

Explore the coating

Estimate coating-induced substrate bow

Use a thin-film Stoney estimate to compare front and back stress–thickness products and the resulting change in substrate curvature.

Front stress × thickness
500 N/m
Net bending stress × thickness
500 N/m
Curvature change
0.034583 m⁻¹
Signed center-to-edge height change
2.7018 µm

The shape is an exaggerated vertical-scale change from the original substrate, with the center set to zero. Similar tensile stress–thickness products on opposite faces cancel bending; opposite signs can reinforce it. Optical phase uniformity must be evaluated separately.

Estimate coating-induced substrate bow: interactive plotInduced height relative to center / µm against Position across aperture / mm. Front coating alone; Front and back coating balance.-14.5-0.2161-7.250.567401.3517.252.13414.52.918Position across aperture / mmInduced height relative to center / µm
Front coating aloneFront and back coating balance
Formula & assumptions

Δκ = 6(1−νs)(σfront tfront − σback tback)/(Es ts²); signed edge-minus-center height change by convention: Δz = Δκ D²/8.

Uniform equibiaxial film stress, isotropic elastic substrate, much thinner films than substrate, small curvature, and no fixture restraint. The sign labels which face dominates, not a universal instrument height convention. The entry for the back face is its signed stress–thickness product; matching products on opposite faces cancel bending in this model. The back film must also satisfy the thin-film assumption. Baseline substrate curvature, stress gradients, patterned/nonuniform coatings, thick stacks and anisotropic wafers need a more complete model. Flattening does not guarantee low transmitted wavefront error.

From estimate to application

Connect deposition control to usable filter performance.

Iris Optics can help plan optical monitoring, spectral and wavefront metrology, spatial acceptance maps, and supplier correlation.

Review your coating measurement plan