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Utilities+® User Manual
RF/Microwave Design Utility Programs
 


WAVEGUIDE CALCULATIONS


An important use for this program is to determine the proper housing size for an amplifier, or any other network that exhibits gain. The housing size chosen should function as a waveguide below cut-off, with the attenuation greater than the gain within the housing. Also, check carefully that there are no cavity resonances anywhere near or within the band of use.


                 Waveguide Calculations

                 Calculate the waveguide cut-off frequency given the wide and
                 narrow dimensions, plus the attenuation and lowest cavity
                 resonance mode given housing length, if the "box" were
                 closed at both ends as in an amplifier housing.

                 Units:  MHz,dB,inches

                 Enter Wide and Narrow dim (W,N) [<Enter>=Quit] ? _


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                                             Note: a = wide dimension, b = narrow dimension, and l = length

Let's look at a housing for a 30 dB gain narrow band microstrip amplifier operating in the range of 2100-2300 MHz. Our mechanical draftsman would like to use a 1.5 X 0.5 X 2.0 inch box. Will it work?

Type "1.5,.5" above, and press <Enter> to calculate the lowest order cut-off frequencies - there are two different modes. Since screen space is limited, what we show below is similar to what you'll see:

Here are the results of the first calculation:

                 TE10 Cutoff = 3924.333 MHz
                 TE01 Cutoff = 11803.000 MHz


The next question asked of you will be:

                 Compute attenuation/in. (Y/N): ? _

Type "Y" to answer the above and press <Enter>. You'll then be asked to input the frequency. Use the high end amplifier frequency of 2300 MHz, or a higher one if there is still significant gain, and then press <Enter> once again.

Here is your simulated input of "2300" below along with the continuing output calculations:

                Enter Freq (MHz): ?  2300

                TE10 Att. @ 2300.000 MHz = 14.759 dB/in.
                TE01 Att. @ 2300.000 MHz = 53.5299 dB/in.


The next question will be:

                Calc TE101 cavity resonance (Y/N): ? _

Continue the calculations by answering "Y" to the above and pressing the <Enter> key. Now you'll be asked to enter the length of the waveguide, i.e., the box. We've simulated your data input of "3" representing the length of the box below:


                Enter length of guide: ? 3

                TE101 cavity resonance @ 4398.718 MHz
                Att. = 44.278 dB @ F = 2300.000 MHz


The attenuation thru the box, from end to end, at 2300 MHz, will be slightly higher than theory predicts due to surface roughness inside the box. Also, the cut-off and cavity resonance frequencies may be slightly lower due to dielectric loading.

Press <Enter> to return to the Main Menu.

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