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We report an experimental demonstration of optimal measurements of smalldisplacement and tilt of a Gaussian beam - two conjugate variables - involvinga homodyne detection with a TEM10 local oscillator. We verify that the standardsplit detection is only 64% efficient. We also show a displacement measurementbeyond the quantum noise limit, using a squeezed vacuum TEM10 mode within theinput beam.Comment: 9 pages, 8 figure

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>TEM</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:math>homodyne detection as an optimal small-displacement and tilt-measurement scheme

TEM10homodyne detection as an optimal small-displacement and tilt-measurement scheme