Why are “square law” devices important?
$begingroup$
In the literature, I often see the notion of square law devices. Why are these devices important, to the extent that they have their own characterization as square law device?
In what context does this square law property become relevant, except the fact that it characterizes the relationship between an input and an output parameter for that device.
photodiode device
asked 4 hours ago
Kristof TakKristof Tak
2561713
$endgroup$
add a comment |
$begingroup$
In the literature, I often see the notion of square law devices. Why are these devices important, to the extent that they have their own characterization as square law device?
In what context does this square law property become relevant, except the fact that it characterizes the relationship between an input and an output parameter for that device.
photodiode device
asked 4 hours ago
Kristof TakKristof Tak
2561713
$endgroup$
1
$begingroup$
Please give a link to an example of the literature of which you speak, or provide much more detail about your question.
$endgroup$
– Elliot Alderson
4 hours ago
3
$begingroup$
It's just a common trait in a bunch of things so rather than explain them one-by-one piecemeal you just group them together so you can talk about them all at once. It's like asking "why the notion of circular motion so important to the extent that it has its own set of equations?" You can apply the same concepts to a bunch of different things, so you just group them together with a label. In that sense, there is nothing beyond it being relevant except for the fact that it characterizes a common input-output relationship.
$endgroup$
– Toor
3 hours ago
$begingroup$
The ability to convert a squiggly line on a graph to numbers/variables is invaluable in analyzing, characterizing, understanding, and simplifying the transfer function (aka output/input). For instance, when building more complicated circuits, would you rather combine a bunch of input/output graphs together to understand the final output or combine mathematical descriptions of it like (x-2)^2 and (y+2)^2 ?
$endgroup$
– horta
54 mins ago
add a comment |
$begingroup$
In the literature, I often see the notion of square law devices. Why are these devices important, to the extent that they have their own characterization as square law device?
In what context does this square law property become relevant, except the fact that it characterizes the relationship between an input and an output parameter for that device.
photodiode device
asked 4 hours ago
Kristof TakKristof Tak
2561713
$endgroup$
In the literature, I often see the notion of square law devices. Why are these devices important, to the extent that they have their own characterization as square law device?
In what context does this square law property become relevant, except the fact that it characterizes the relationship between an input and an output parameter for that device.
photodiode device
photodiode device
asked 4 hours ago
Kristof TakKristof Tak
2561713
asked 4 hours ago
Kristof TakKristof Tak
2561713
asked 4 hours ago
Kristof TakKristof Tak
2561713
asked 4 hours ago
Kristof TakKristof Tak
2561713
asked 4 hours ago
Kristof TakKristof Tak
2561713
2561713
1
$begingroup$
Please give a link to an example of the literature of which you speak, or provide much more detail about your question.
$endgroup$
– Elliot Alderson
4 hours ago
3
$begingroup$
It's just a common trait in a bunch of things so rather than explain them one-by-one piecemeal you just group them together so you can talk about them all at once. It's like asking "why the notion of circular motion so important to the extent that it has its own set of equations?" You can apply the same concepts to a bunch of different things, so you just group them together with a label. In that sense, there is nothing beyond it being relevant except for the fact that it characterizes a common input-output relationship.
$endgroup$
– Toor
3 hours ago
$begingroup$
The ability to convert a squiggly line on a graph to numbers/variables is invaluable in analyzing, characterizing, understanding, and simplifying the transfer function (aka output/input). For instance, when building more complicated circuits, would you rather combine a bunch of input/output graphs together to understand the final output or combine mathematical descriptions of it like (x-2)^2 and (y+2)^2 ?
$endgroup$
– horta
54 mins ago
add a comment |
1
$begingroup$
Please give a link to an example of the literature of which you speak, or provide much more detail about your question.
$endgroup$
– Elliot Alderson
4 hours ago
3
$begingroup$
It's just a common trait in a bunch of things so rather than explain them one-by-one piecemeal you just group them together so you can talk about them all at once. It's like asking "why the notion of circular motion so important to the extent that it has its own set of equations?" You can apply the same concepts to a bunch of different things, so you just group them together with a label. In that sense, there is nothing beyond it being relevant except for the fact that it characterizes a common input-output relationship.
$endgroup$
– Toor
3 hours ago
$begingroup$
The ability to convert a squiggly line on a graph to numbers/variables is invaluable in analyzing, characterizing, understanding, and simplifying the transfer function (aka output/input). For instance, when building more complicated circuits, would you rather combine a bunch of input/output graphs together to understand the final output or combine mathematical descriptions of it like (x-2)^2 and (y+2)^2 ?
$endgroup$
– horta
54 mins ago
1
1
$begingroup$
Please give a link to an example of the literature of which you speak, or provide much more detail about your question.
$endgroup$
– Elliot Alderson
4 hours ago
$begingroup$
Please give a link to an example of the literature of which you speak, or provide much more detail about your question.
$endgroup$
– Elliot Alderson
4 hours ago
3
3
$begingroup$
It's just a common trait in a bunch of things so rather than explain them one-by-one piecemeal you just group them together so you can talk about them all at once. It's like asking "why the notion of circular motion so important to the extent that it has its own set of equations?" You can apply the same concepts to a bunch of different things, so you just group them together with a label. In that sense, there is nothing beyond it being relevant except for the fact that it characterizes a common input-output relationship.
$endgroup$
– Toor
3 hours ago
$begingroup$
It's just a common trait in a bunch of things so rather than explain them one-by-one piecemeal you just group them together so you can talk about them all at once. It's like asking "why the notion of circular motion so important to the extent that it has its own set of equations?" You can apply the same concepts to a bunch of different things, so you just group them together with a label. In that sense, there is nothing beyond it being relevant except for the fact that it characterizes a common input-output relationship.
$endgroup$
– Toor
3 hours ago
$begingroup$
The ability to convert a squiggly line on a graph to numbers/variables is invaluable in analyzing, characterizing, understanding, and simplifying the transfer function (aka output/input). For instance, when building more complicated circuits, would you rather combine a bunch of input/output graphs together to understand the final output or combine mathematical descriptions of it like (x-2)^2 and (y+2)^2 ?
$endgroup$
– horta
54 mins ago
$begingroup$
The ability to convert a squiggly line on a graph to numbers/variables is invaluable in analyzing, characterizing, understanding, and simplifying the transfer function (aka output/input). For instance, when building more complicated circuits, would you rather combine a bunch of input/output graphs together to understand the final output or combine mathematical descriptions of it like (x-2)^2 and (y+2)^2 ?
$endgroup$
– horta
54 mins ago
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
It's a particular classification of nonlinear behavior that has important applications.
In the same way as you can consider, say, a BJT as linear over a limited range, you can consider something like a diode as square law over a limited range. That simplification allows you to analyze functions such as RF detectors analytically.
See, for example, this Agilent paper "Square Law
and Linear Detection".
answered 3 hours ago
Spehro PefhanySpehro Pefhany
208k5159420
$endgroup$
6
$begingroup$
Similarly, the OP could have also replaced "square law devices" with "linear devices" into his question and the basic answer would essentially be the same.
$endgroup$
– Toor
3 hours ago
3
$begingroup$
That app note is still "in print" from Broadcom. Though they haven't bothered to re-badge it from Avago. (And HP versions of it are also out there on the net)
$endgroup$
– The Photon
3 hours ago
add a comment |
$begingroup$
electronic things that follow square laws ;
power loss with distance over the air aka "Friis Loss" for RF due to power is spread by broadcast over beam width arc path at a distance is proportional to r²
- the same is true with optical communication, sound and other signal sources like WiFi when there are no reflections of obstacles.
power loss in conductors from Ohm's Law, V=IR we get Pd=VI=V²/R=I²R
- diode impedance = voltage/current for small ac signals with Vdc bias before saturation at rated current, then it becomes linear
- reverse diode capacitance vs voltage. C is max at 0V and reduces by V² at rated reverse Vr and C(0V) is a function of rated power and 1/Rs the linear saturation resistance in forward bias. Varicaps are controlled didoes for specific square law VCO tuning with C ratios given at 2 voltages.
- because of diode square law when used in negative feedback can used as "analog signal "multipliers" or converting voltage to power.
Fundamentally, based on geometry of a 2D circle $C=pi R^2$ then we have cubic laws based on 3D geometry of a sphere and higher orders that describe laws of nature.
answered 3 hours ago
Sunnyskyguy EE75Sunnyskyguy EE75
66.8k22397
$endgroup$
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
It's a particular classification of nonlinear behavior that has important applications.
In the same way as you can consider, say, a BJT as linear over a limited range, you can consider something like a diode as square law over a limited range. That simplification allows you to analyze functions such as RF detectors analytically.
See, for example, this Agilent paper "Square Law
and Linear Detection".
answered 3 hours ago
Spehro PefhanySpehro Pefhany
208k5159420
$endgroup$
6
$begingroup$
Similarly, the OP could have also replaced "square law devices" with "linear devices" into his question and the basic answer would essentially be the same.
$endgroup$
– Toor
3 hours ago
3
$begingroup$
That app note is still "in print" from Broadcom. Though they haven't bothered to re-badge it from Avago. (And HP versions of it are also out there on the net)
$endgroup$
– The Photon
3 hours ago
add a comment |
$begingroup$
It's a particular classification of nonlinear behavior that has important applications.
In the same way as you can consider, say, a BJT as linear over a limited range, you can consider something like a diode as square law over a limited range. That simplification allows you to analyze functions such as RF detectors analytically.
See, for example, this Agilent paper "Square Law
and Linear Detection".
answered 3 hours ago
Spehro PefhanySpehro Pefhany
208k5159420
$endgroup$
6
$begingroup$
Similarly, the OP could have also replaced "square law devices" with "linear devices" into his question and the basic answer would essentially be the same.
$endgroup$
– Toor
3 hours ago
3
$begingroup$
That app note is still "in print" from Broadcom. Though they haven't bothered to re-badge it from Avago. (And HP versions of it are also out there on the net)
$endgroup$
– The Photon
3 hours ago
add a comment |
$begingroup$
It's a particular classification of nonlinear behavior that has important applications.
In the same way as you can consider, say, a BJT as linear over a limited range, you can consider something like a diode as square law over a limited range. That simplification allows you to analyze functions such as RF detectors analytically.
See, for example, this Agilent paper "Square Law
and Linear Detection".
answered 3 hours ago
Spehro PefhanySpehro Pefhany
208k5159420
$endgroup$
It's a particular classification of nonlinear behavior that has important applications.
In the same way as you can consider, say, a BJT as linear over a limited range, you can consider something like a diode as square law over a limited range. That simplification allows you to analyze functions such as RF detectors analytically.
See, for example, this Agilent paper "Square Law
and Linear Detection".
answered 3 hours ago
Spehro PefhanySpehro Pefhany
208k5159420
answered 3 hours ago
Spehro PefhanySpehro Pefhany
208k5159420
answered 3 hours ago
Spehro PefhanySpehro Pefhany
208k5159420
answered 3 hours ago
Spehro PefhanySpehro Pefhany
208k5159420
208k5159420
6
$begingroup$
Similarly, the OP could have also replaced "square law devices" with "linear devices" into his question and the basic answer would essentially be the same.
$endgroup$
– Toor
3 hours ago
3
$begingroup$
That app note is still "in print" from Broadcom. Though they haven't bothered to re-badge it from Avago. (And HP versions of it are also out there on the net)
$endgroup$
– The Photon
3 hours ago
add a comment |
6
$begingroup$
Similarly, the OP could have also replaced "square law devices" with "linear devices" into his question and the basic answer would essentially be the same.
$endgroup$
– Toor
3 hours ago
3
$begingroup$
That app note is still "in print" from Broadcom. Though they haven't bothered to re-badge it from Avago. (And HP versions of it are also out there on the net)
$endgroup$
– The Photon
3 hours ago
6
6
$begingroup$
Similarly, the OP could have also replaced "square law devices" with "linear devices" into his question and the basic answer would essentially be the same.
$endgroup$
– Toor
3 hours ago
$begingroup$
Similarly, the OP could have also replaced "square law devices" with "linear devices" into his question and the basic answer would essentially be the same.
$endgroup$
– Toor
3 hours ago
3
3
$begingroup$
That app note is still "in print" from Broadcom. Though they haven't bothered to re-badge it from Avago. (And HP versions of it are also out there on the net)
$endgroup$
– The Photon
3 hours ago
$begingroup$
That app note is still "in print" from Broadcom. Though they haven't bothered to re-badge it from Avago. (And HP versions of it are also out there on the net)
$endgroup$
– The Photon
3 hours ago
add a comment |
$begingroup$
electronic things that follow square laws ;
power loss with distance over the air aka "Friis Loss" for RF due to power is spread by broadcast over beam width arc path at a distance is proportional to r²
- the same is true with optical communication, sound and other signal sources like WiFi when there are no reflections of obstacles.
power loss in conductors from Ohm's Law, V=IR we get Pd=VI=V²/R=I²R
- diode impedance = voltage/current for small ac signals with Vdc bias before saturation at rated current, then it becomes linear
- reverse diode capacitance vs voltage. C is max at 0V and reduces by V² at rated reverse Vr and C(0V) is a function of rated power and 1/Rs the linear saturation resistance in forward bias. Varicaps are controlled didoes for specific square law VCO tuning with C ratios given at 2 voltages.
- because of diode square law when used in negative feedback can used as "analog signal "multipliers" or converting voltage to power.
Fundamentally, based on geometry of a 2D circle $C=pi R^2$ then we have cubic laws based on 3D geometry of a sphere and higher orders that describe laws of nature.
answered 3 hours ago
Sunnyskyguy EE75Sunnyskyguy EE75
66.8k22397
$endgroup$
add a comment |
$begingroup$
electronic things that follow square laws ;
power loss with distance over the air aka "Friis Loss" for RF due to power is spread by broadcast over beam width arc path at a distance is proportional to r²
- the same is true with optical communication, sound and other signal sources like WiFi when there are no reflections of obstacles.
power loss in conductors from Ohm's Law, V=IR we get Pd=VI=V²/R=I²R
- diode impedance = voltage/current for small ac signals with Vdc bias before saturation at rated current, then it becomes linear
- reverse diode capacitance vs voltage. C is max at 0V and reduces by V² at rated reverse Vr and C(0V) is a function of rated power and 1/Rs the linear saturation resistance in forward bias. Varicaps are controlled didoes for specific square law VCO tuning with C ratios given at 2 voltages.
- because of diode square law when used in negative feedback can used as "analog signal "multipliers" or converting voltage to power.
Fundamentally, based on geometry of a 2D circle $C=pi R^2$ then we have cubic laws based on 3D geometry of a sphere and higher orders that describe laws of nature.
answered 3 hours ago
Sunnyskyguy EE75Sunnyskyguy EE75
66.8k22397
$endgroup$
add a comment |
$begingroup$
electronic things that follow square laws ;
power loss with distance over the air aka "Friis Loss" for RF due to power is spread by broadcast over beam width arc path at a distance is proportional to r²
- the same is true with optical communication, sound and other signal sources like WiFi when there are no reflections of obstacles.
power loss in conductors from Ohm's Law, V=IR we get Pd=VI=V²/R=I²R
- diode impedance = voltage/current for small ac signals with Vdc bias before saturation at rated current, then it becomes linear
- reverse diode capacitance vs voltage. C is max at 0V and reduces by V² at rated reverse Vr and C(0V) is a function of rated power and 1/Rs the linear saturation resistance in forward bias. Varicaps are controlled didoes for specific square law VCO tuning with C ratios given at 2 voltages.
- because of diode square law when used in negative feedback can used as "analog signal "multipliers" or converting voltage to power.
Fundamentally, based on geometry of a 2D circle $C=pi R^2$ then we have cubic laws based on 3D geometry of a sphere and higher orders that describe laws of nature.
answered 3 hours ago
Sunnyskyguy EE75Sunnyskyguy EE75
66.8k22397
$endgroup$
electronic things that follow square laws ;
power loss with distance over the air aka "Friis Loss" for RF due to power is spread by broadcast over beam width arc path at a distance is proportional to r²
- the same is true with optical communication, sound and other signal sources like WiFi when there are no reflections of obstacles.
power loss in conductors from Ohm's Law, V=IR we get Pd=VI=V²/R=I²R
- diode impedance = voltage/current for small ac signals with Vdc bias before saturation at rated current, then it becomes linear
- reverse diode capacitance vs voltage. C is max at 0V and reduces by V² at rated reverse Vr and C(0V) is a function of rated power and 1/Rs the linear saturation resistance in forward bias. Varicaps are controlled didoes for specific square law VCO tuning with C ratios given at 2 voltages.
- because of diode square law when used in negative feedback can used as "analog signal "multipliers" or converting voltage to power.
Fundamentally, based on geometry of a 2D circle $C=pi R^2$ then we have cubic laws based on 3D geometry of a sphere and higher orders that describe laws of nature.
answered 3 hours ago
Sunnyskyguy EE75Sunnyskyguy EE75
66.8k22397
edited 3 hours ago
answered 3 hours ago
Sunnyskyguy EE75Sunnyskyguy EE75
66.8k22397
answered 3 hours ago
Sunnyskyguy EE75Sunnyskyguy EE75
66.8k22397
answered 3 hours ago
Sunnyskyguy EE75Sunnyskyguy EE75
66.8k22397
66.8k22397
add a comment |
add a comment |
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1
$begingroup$
Please give a link to an example of the literature of which you speak, or provide much more detail about your question.
$endgroup$
– Elliot Alderson
4 hours ago
3
$begingroup$
It's just a common trait in a bunch of things so rather than explain them one-by-one piecemeal you just group them together so you can talk about them all at once. It's like asking "why the notion of circular motion so important to the extent that it has its own set of equations?" You can apply the same concepts to a bunch of different things, so you just group them together with a label. In that sense, there is nothing beyond it being relevant except for the fact that it characterizes a common input-output relationship.
$endgroup$
– Toor
3 hours ago
$begingroup$
The ability to convert a squiggly line on a graph to numbers/variables is invaluable in analyzing, characterizing, understanding, and simplifying the transfer function (aka output/input). For instance, when building more complicated circuits, would you rather combine a bunch of input/output graphs together to understand the final output or combine mathematical descriptions of it like (x-2)^2 and (y+2)^2 ?
$endgroup$
– horta
54 mins ago