Holographic Interferometry Fringe Map (2D)

Load & Optics

Load intensity q 3.0 N/m

Laser wavelength λ 633 nm

Sensitivity angle θ 20°

Panel thickness t 1.2 mm

Panel material

Live Readouts

Max out-of-plane disp.

0.0 µm

Fringe order (tip, centerline)

0.0

Fringe spacing near tip

— mm

Edge − centerline fringe order (mid-span, 2D-only)

0.00

How it works

This is the flat, plan-view companion to the 3D interferometry simulator: instead of a tilted deformed mesh, it renders the interferogram exactly the way a real double-exposure photographic plate does — a flat intensity map, viewed straight-on, computed pixel-by-pixel from the sensitivity-vector equation:

Fringe order:   N(x,y) = 2·d(x,y)·cos(θ/2) / λ
Intensity:      I(x,y) = cos²(π·N(x,y))

The panel bends like a cantilever beam fixed at the left edge under distributed load q, using the closed-form Euler–Bernoulli solution w(x) = q·x²·(6L² − 4Lx + x²) / (24D), D = E·t³/(12·(1−ν²)). This 2D companion goes one step further than a pure beam model: it adds the real anticlastic curvature that a loaded plate develops across its width from the Poisson effect — as the beam bends one way along its length, it curves the opposite way across its width, κ_y = −ν·κ_x(x), where κ_x(x) = q(L−x)²/(2D) is the beam's own bending curvature. The correction term is:

d(x,y) = w(x) − ½·ν·κx(x)·y²      (y measured from the centerline)

Toggle "Anticlastic curvature" off to see the pure 1D beam field the 3D sibling simulator uses — every fringe becomes a dead-straight vertical line, since that model has no y-dependence at all. With it on, fringes curve across the width exactly as real cantilever-plate interferograms do, and the "Edge − centerline fringe order" readout — which only exists because this view is genuinely 2D — quantifies how far the two diverge at mid-span.

Real-world use: aerospace panels, turbine blades, pressure vessels and PCBs are tested this way because it is non-contact, whole-field, and sensitive to displacements far below what strain gauges can register.

Fixed edge (cantilever support), left Free tip, right

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Holographic Interferometry Fringe Map — the 2D Companion