The reciprocity integral: Convolution or correlation?

Mallinson, John C.; Minuhin, V.B.

doi:10.1109/tmag.1984.1063070

Cited by 22 publications

(5 citation statements)

References 2 publications

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“…It is customary to replace the ratio H 1 /I by h. When applied to magnetic recording, equation (27) states that the flux linkage between head and medium can be calculated using the medium magnetization and the field that would be produced by the read head when excited with a unit current. If the medium moves with a velocity v, the flux linkage is…”

Section: Reciprocity and Read-back Of Sinusoidal Magnetization Patternsmentioning

confidence: 99%

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Recent advances in the recording physics of thin-film media

Richter

1999

J. Phys. D: Appl. Phys.

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Section: Reciprocity and Read-back Of Sinusoidal Magnetization Patternsmentioning

confidence: 99%

“…(28) The reciprocity integral is a correlation (not a convolution) between the magnetization and the head field [27]. Mathematically, it is more convenient to use equation (28) in the following form:…”

Section: Reciprocity and Read-back Of Sinusoidal Magnetization Patternsmentioning

confidence: 99%

Recent advances in the recording physics of thin-film media

Richter

1999

J. Phys. D: Appl. Phys.

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“…For example, the 'magnetic recording equivalent' to (4) describing the readout voltage e, (per unit turn and per unit track width in the y direction) arising from an identical sample magnetization distribution as above but with the MFM tip replaced by an inductive readout head is -m where H F d is the head field that would be produced by the readout head if it were energized by unit current [6]. It is clear that (4) and (5) are not exactly equivalent, since in the former we differentiate the (tiplhead) field with respect to z, whereas in the latter it is the magnetization that is differentiated and with respect to the x direction.…”

Section: Theorymentioning

confidence: 99%

“…Here, one first calculated the flux emanating from a known or assumed sample magnetization distribution, then evaluated the timederivative of the portion of that flux that linked the readout head [ 3 ] . The application of the reciprocity theorem to this readout process showed that identical results are achieved by calculating the field that would be produced by an energized readout head and correlating this with the magnetization distribution in the recording medium [4]. Using this approach the important role played by the head itself in the readout process was explicitly revealed, leading to new head designs with improved responses.…”

Section: Introductionmentioning

confidence: 95%

A reciprocity-based approach to understanding magnetic force microscopy

Wright

Hill

1996

IEEE Trans. Magn.

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The process of image formation in a magnetic force microscope is described in terms of the 'reciprocal' force acting on the sample, rather than the more usual method that calculates the force acting on the microscope tip. The two forces are, according to Newton's third law, equal but opposite. It is shown that the reciprocal force approach allows the role of the microscope tip in the imaging process to be revealed explicitly in both spatial and spatial frequency domains. In particular, the system transfer function is shown to comprise a product of the well known Wallace loss factors used to describe inductive readout in magnetic recording systems.

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“…An attempt to end the confusion between correlation and convolution was made in [5]. That paper stated that the confusion between correlation and convolution simply reverses time flow in readback.…”

Section: Introductionmentioning

confidence: 99%

Superposition in Inductive and Magnetoresistive Readback

Minuhin¹

2004

IEEE Trans. Magn.

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This letter demonstrates that the physics of linear readback in various recording-reproducing systems is different from that of communication systems and conventional linear filters, in which superposition is described by the convolution integral. In a linear system of magnetic readback with inductive heads, superposition is described by the correlation (not convolution) between two vector entities-the derivative of media magnetization and the sensitivity function of the readback head. More generally, superposition in all linear magnetic readback with heads of any type is described by the correlation between two scalar entities-the distribution of magnetic charges in the recorded media and the scalar sensitivity function of the readback head with respect to moving charges.Index Terms-Inductive heads, magnetic head-medium interface, magnetooptical and optical recording systems, magnetoresistive heads, read and write theory.

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The reciprocity integral: Convolution or correlation?

Cited by 22 publications

References 2 publications

Recent advances in the recording physics of thin-film media

Recent advances in the recording physics of thin-film media

A reciprocity-based approach to understanding magnetic force microscopy

Superposition in Inductive and Magnetoresistive Readback

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